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| trachtenberg system: The Trachtenberg Speed System of Basic Mathematics Jakow Trachtenberg, 2011-03-01 Do high-speed, complicated arithmetic in your head using the Trachtenberg Speed System. Ever find yourself struggling to check a bill or a payslip? With The Trachtenberg Speed System you can. Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy. Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers. |
| trachtenberg system: History and Strategy Marc Trachtenberg, 1991-04-21 This work is a powerful demonstration of how historical analysis can be brought to bear on the study of strategic issues, and, conversely, how strategic thinking can help drive historical research. Based largely on newly released American archives, History and Strategy focuses on the twenty years following World War II. By bridging the sizable gap between the intellectual world of historians and that of strategists and political scientists, the essays here present a fresh and unified view of how to explore international politics in the nuclear era. The book begins with an overview of strategic thought in America from 1952 through 1966 and ends with a discussion of making sense of the nuclear age. Trachtenberg reevaluates the immediate causes of World War I, studies the impact of the shifting nuclear balance on American strategy in the early 1950s, examines the relationship between the nuclearization of NATO and U.S.-West European relations, and looks at the Berlin and the Cuban crises. He shows throughout that there are startling discoveries to be made about events that seem to have been thoroughly investigated. |
| trachtenberg system: The Cold War and After Marc Trachtenberg, 2012-03-12 A new way of looking at international relations from a leading expert in the field What makes for war or for a stable international system? Are there general principles that should govern foreign policy? In The Cold War and After, Marc Trachtenberg, a leading historian of international relations, explores how historical work can throw light on these questions. The essays in this book deal with specific problems—with such matters as nuclear strategy and U.S.-European relations. But Trachtenberg's main goal is to show how in practice a certain type of scholarly work can be done. He demonstrates how, in studying international politics, the conceptual and empirical sides of the analysis can be made to connect with each other, and how historical, theoretical, and even policy issues can be tied together in an intellectually respectable way. These essays address a wide variety of topics, from theoretical and policy issues, such as the question of preventive war and the problem of international order, to more historical subjects—for example, American policy on Eastern Europe in 1945 and Franco-American relations during the Nixon-Pompidou period. But in each case the aim is to show how a theoretical perspective can be brought to bear on the analysis of historical issues, and how historical analysis can shed light on basic conceptual problems. |
| trachtenberg system: A Constructed Peace Marc Trachtenberg, 1999-02-28 People still think of the Cold War as a simple two-sided conflict, a kind of gigantic arm wrestle on a global scale, writes Marc Trachtenberg, but this view fails to grasp the essence of what was really going on. America and Russia were both willing to live with the status quo in Europe. What then could have generated the kind of conflict that might have led to a nuclear holocaust? This is the great puzzle of the Cold War, and in this book, the product of nearly twenty years of work, Trachtenberg tries to solve it. The answer, he says, has to do with the German question, especially with the German nuclear question. These issues lay at the heart of the Cold War, and a relatively stable peace took shape only when they were resolved. The book develops this argument by telling a story--a complex story involving many issues of detail, but focusing always on the central question of how a stable international system came into being during the Cold War period. A Constructed Peace will be of interest not just to students of the Cold War, but to people concerned with the problem of war and peace, and in particular with the question of how a stable international order can be constructed, even in our own day. |
| trachtenberg system: Short-Cut Math Gerard W. Kelly, 2014-11-18 Clear, concise compendium of about 150 time-saving math short-cuts features faster, easier ways to add, subtract, multiply, and divide. Each problem includes an explanation of the method. No special math ability needed. |
| trachtenberg system: Building-in-time Marvin Trachtenberg, 2010 In the pre-modern age in Europe, the architect built not merely with imagination, bricks and mortar, but with time, using vast quantities of duration as the means to erect monumental buildings that otherwise would have been impossible to achieve. Virtually all the great cathedrals of France and the rest of Europe were built by this deliberate practice, here given the name Building-in-Time. It places an entirely new light on the major works of pre-modern Italy, from the Pisa cathedral group to the cathedrals of Milan, Venice and Siena, and from the monuments of fourteenth-century Florence to the new St Peter's. Even as this temporal regime was flourishing, the fifteenth-century Italian architect Leon Battista Alberti proposed a new one for architecture, in which time would ideally be excluded from the making of architecture (Building-outside-Time). Planning and building, which had always formed one fluid, imbricated process, were to be sharply divided, and the change that always came with time was to be excluded from architectural making. |
| trachtenberg system: Speed Mathematics Simplified Edward Stoddard, 2013-04-09 Entertaining, easy-to-follow suggestions for developing greater speed and accuracy in doing mathematical calculations. Surefire methods for multiplying without carrying, mastering fractions, working quickly with decimals, handling percentages, and much more. |
| trachtenberg system: Speed Mathematics Bill Handley, 2014-04-07 This new, revised edition of the bestselling Speed Mathematics features new chapters on memorising numbers and general information, calculating statistics and compound interest, square roots, logarithms and easy trig calculations. Written so anyone can understand, this book teaches simple strategies that will enable readers to make lightning-quick calculations. People who excel at mathematics use better strategies than the rest of us; they are not necessarily more intelligent. With Speed Mathematics you'll discover methods to make maths easy and fun. This book is perfect for students, parents, teachers and anyone who enjoys working with figures and even those who are terrified of numbers! |
| trachtenberg system: The Mental Calculator's Handbook Robert Fountain, Jan van Koningsveld, 2013 Written by two of the world's foremost authorities on mental calculation, The Mental Calculator's Handbook is essential reading for aspiring calculating prodigies. From multiplying fractions to extracting square roots, all the techniques are presented and explained in a clear and rigorous way. |
| trachtenberg system: Think Like a Maths Genius Arthur Benjamin, 2013 |
| trachtenberg system: Classic Essays on Photography Alan Trachtenberg, 1980 Containing 30 essays that embody the history of photography, this collection includes contributions from Niepce, Daguerre, Fox, Talbot, Poe, Emerson, Hine, Stieglitz, and Weston, among others. |
| trachtenberg system: Red-Blooded American Male Robert Trachtenberg, 2016-09-13 A collection of 100 inspired and surprising portraits of celebrities and everymen alike from the award-winning photographer Robert Trachtenberg. Paul Rudd checking out the merchandise; Jimmy Kimmel playing dress up; Jack Black getting a one-of-a-kind pedicure; Elon Musk unveiling his newest Tesla; Jerry Seinfeld and Larry David taking a coffee break. From leading men to comedians, ballet dancers to quarterbacks, war veterans to Broadway veterans, Red-Blooded American Male features more than 100 imaginative, striking, and sexy portraits from award-winning photographer Robert Trachtenberg. Pithy captions about each shoot accompany the photographs, giving readers a peek behind the curtain of a famed portrait photographer's creative process and his world-renowned photographs. Uncovering a unique (and often self-deprecating) side to such talents as Jimmy Fallon, Seth Rogen, Channing Tatum, Waris Ahluwalia, Will Ferrell, and Kevin Hart, this collection goes beyond mere portraiture to challenge conventional notions of masculinity and traditional male imagery. |
| trachtenberg system: France Restored William I. Hitchcock, 1998-01-01 Historians of the Cold War, argues William Hitchcock, have too often overlooked the part that European nations played in shaping the post-World War II international system. In particular, France, a country beset by economic difficulties and political inst |
| trachtenberg system: The United States and the Nazi Holocaust Barry Trachtenberg, 2018-02-08 The United States and the Nazi Holocaust is an invaluable synthesis of United States policies and attitudes towards the Nazi persecution of European Jewry from 1933 to the modern day. The book weaves together a vast body of scholarship to bring students of the Holocaust a balanced overview of this complex and often controversial topic. It demonstrates that the United States' response to Nazism, the refugee crisis it provoked, the Holocaust, and its aftermath were-and remain to this day-intricately linked to the shifting racial, economic, and social status of American Jewry. Using a broad chronological framework, Barry Trachtenberg guides us through the major themes and events of this period. He discusses the complicated history of the Roosevelt administration's response to the worsening situation of European Jewry in the context of the ambiguous racial status of Jews in Depression and World War II-era America. He examines the post-war decades in America, and discusses how the Holocaust, like American Jewry itself, moved from the margins to the center of American awareness. This book considers the reception of Holocaust survivors, post-war trials, film, memoirs, memorials, and the growing field of Holocaust Studies. The reactions of the United States government, the general public, and the Jewish communities of America are all accounted for in this detailed survey. |
| trachtenberg system: The Magic of Math Arthur Benjamin, 2015-09-08 The world's greatest mental mathematical magician takes us on a spellbinding journey through the wonders of numbers (and more) Arthur Benjamin . . . joyfully shows you how to make nature's numbers dance. -- Bill Nye (the science guy) The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the mathemagician, Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math fan and math-phobic alike. A positively joyful exploration of mathematics. -- Publishers Weekly, starred review Each [trick] is more dazzling than the last. -- Physics World |
| trachtenberg system: Jewish Magic and Superstition Joshua Trachtenberg, 2012-10-08 Alongside the formal development of Judaism from the eleventh through the sixteenth centuries, a robust Jewish folk religion flourished—ideas and practices that never met with wholehearted approval by religious leaders yet enjoyed such wide popularity that they could not be altogether excluded from the religion. According to Joshua Trachtenberg, it is not possible truly to understand the experience and history of the Jewish people without attempting to recover their folklife and beliefs from centuries past. Jewish Magic and Superstition is a masterful and utterly fascinating exploration of religious forms that have all but disappeared yet persist in the imagination. The volume begins with legends of Jewish sorcery and proceeds to discuss beliefs about the evil eye, spirits of the dead, powers of good, the famous legend of the golem, procedures for casting spells, the use of gems and amulets, how to battle spirits, the ritual of circumcision, herbal folk remedies, fortune telling, astrology, and the interpretation of dreams. First published more than sixty years ago, Trachtenberg's study remains the foundational scholarship on magical practices in the Jewish world and offers an understanding of folk beliefs that expressed most eloquently the everyday religion of the Jewish people. |
| trachtenberg system: The Trachtenberg Speed System of Basic Mathematics Jakow Trachtenberg, 1962 Do high-speed, complicated arithmetic in your head using the Trachtenberg Speed System.Ever find yourself struggling to check a bill or a payslip? With The Trachtenberg Speed System you can. Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy.Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers. |
| trachtenberg system: The Italian Piazza Transformed Areli Marina, 2012 Explores the history and architecture of two city squares, constructed by rival political parties, in the Italian city of Parma from 1196 to 1300--Provided by publisher. |
| trachtenberg system: Leading Colleges and Universities Stephen Joel Trachtenberg, Gerald B. Kauvar, E. Gordon Gee, 2018-04-16 How experienced college and university leaders guide successful institutions—and why they sometimes lose their way. Today's college and university leaders face complex problems that test their political acumen as well as their judgment, intellect, empathy, and ability to plan and improvise. How do they thoughtfully and creatively rise to the challenge? In Leading Colleges and Universities, editors Stephen Joel Trachtenberg, Gerald B. Kauvar, and E. Gordon Gee bring together a host of presidents and other leaders in higher education who describe how they dealt with the issues. Each contributor has been effective as a president or other significant leader in postsecondary education. In this book they share real-life examples and stories that illustrate how they have dealt with the challenges they encountered. Together they answer these and other core questions: • How do you manage college athletics, faculty, a governing board, donors, and a local community? • What do you need to know about crisis management and legal affairs? • When should you be outspoken in the media and when should you be quiet? The book does not shy away from hot contemporary issues, tackling such controversial matters as free speech, Title IX, athletics, fraternities, student and faculty diversity, and board relations. Presidents and would-be presidents—as well as boards, search committees, state boards, legislators, and others involved in higher education—will find much helpful guidance in this timely book. |
| trachtenberg system: Regulation Jerry Brito, Susan E. Dudley, 2012-08-13 Federal regulations affect nearly every area of our lives and interest in them is increasing. However, many people have no idea how regulations are developed or how they have an impact on our lives. Regulation: A Primer by Susan Dudley and Jerry Brito provides an accessible overview of regulatory theory, analysis, and practice. The Primer examines the constitutional underpinnings of federal regulation and discusses who writes and enforces regulation and how they do it. Published by the Mercatus Center at George Mason University, it also provides insights into the different varieties of regulation and how to analyze whether a regulatory proposal makes citizens better or worse off. Each chapter discusses key aspects of regulation and provides further readings for those interested in exploring these topics in more detail. |
| trachtenberg system: Night of the Living Trekkies Kevin David Anderson, Sam Stall, 2010-09-15 Journey to the final frontier of sci-fi zombie horror! Jim Pike was the world’s biggest Star Trek fan—until two tours of duty in Afghanistan destroyed his faith in the human race. Now he sleepwalks through life as the assistant manager of a small hotel in downtown Houston. But when hundreds of Trekkies arrive in his lobby for a science-fiction convention, Jim finds himself surrounded by costumed Klingons, Vulcans, and Ferengi—plus a strange virus that transforms its carriers into savage, flesh-eating zombies! As bloody corpses stumble to life and the planet teeters on the brink of total apocalypse, Jim must deliver a ragtag crew of fanboys and fangirls to safety. Dressed in homemade uniforms and armed with prop phasers, their prime directive is to survive. But how long can they last in the ultimate no-win scenario? |
| trachtenberg system: How to Calculate Quickly Henry Sticker, 2012-03-15 Many useful procedures explained and taught: 2-column addition, left-to-right subtraction, direct multiplication by numbers greater than 12, mental division of large numbers, more. Also numerous helpful shortcuts. More than 8,000 problems, with solutions. |
| trachtenberg system: Rapid Math Tricks & Tips Edward H. Julius, 1992-11-11 Demonstrates a slew of time-saving tips and tricks for performing common math calculations. Contains sample problems for each trick, leading the reader through step-by-step. Features two mid-terms and a final exam to test your progress plus hundreds of exercise problems ranging from simple to more sophisticated. Also includes sections on ``Mathematical Curiosities'' and ``Parlor Tricks'' for math lovers. |
| trachtenberg system: Reading Football Michael Oriard, 1998-08-01 Is football an athletic contest or a social event? Is it a game of skill, a test of manhood, or merely an organized brawl? Michael Oriard, a former professional player, asks these and other intriguing questions in Reading Football, the first contemporary book about football's formative years. American football began in the 1870s as a game to be played, not watched. Within a brief ten years, it had become a great public spectacle with an immense following, a phenomenon caused primarily by the voluminous commentary about the game conducted in popular newspapers and magazines. Oriard shows how this constant narrative in football's early years developed many different stories about what the game meant: football as pastime, as the sport of gentlemen, as a science, as a game of rules and their infringements. He shows how football became a series of cultural stories about power, luck, strategy, and deception. These different interpretations have been magnified by football's current omnipresence on television. According to Oriard, televised football now plays a cultural role of enormous importance for men, yet within the field of cultural studies the influence of football has been ignored until now. |
| trachtenberg system: The Essentials of Vedic Mathematics Rajesh Kumar Thakur, 2014-09 About The BookThe Essentials Of Vedic Mathematics is a book that shows you how to master Vedic mathematics independently without the help of any expert. Vedic mathematics consists of sixteen sutras and sixteen sub-sutras. It is an ancient technique that can be very beneficial to people even today. The book shows you how to simplify the most basic arithmetic operations and also deal with complex mathematical concepts such as quadratic equations factorization of cubic equations and much more.Considering that Vedic mathematics is now being used extensively even by those students who are preparing for a range of competitive examinations it is important that you be able to use this method to your advantage. Vedic Mathematics is now used in preparations for the CAT SAT XAT MAT banking entrance exams engineering exams and many other similar competitive examinations. Keeping in mind just how important speed and reasoning are in such exams the author shows you how to use these concepts to finish your paper quickly and correctly.The author has also included certain chapters in this book that will be helpful for those students who are preparing for their CBSE or ICSE examinations. The book is designed in such a way that it is useful and understandable to a wide audience.The first edition of The Essentials Of Vedic Mathematics was published by Rupa Publications India in 2013 and is available in paperback.Key Features The book is written with a simple and easily-comprehensible tone. It not only caters to those who are preparing for entrance exams but also to those who are studying for school exams. |
| trachtenberg system: The Trachtenberg Speed System of Basic Mathematics , 1981 The complete system of the Trachtenberg method of mathematics which makes possible high-speed arithmetical calculations with a remarkable degree of accuracy. This method is not only speedy but simple. Once one has mastered the rules, lightning calculation is as easy as reading a story. It looks like magic, but the rules are based on sound logic. |
| trachtenberg system: Horrible Prettiness Robert Clyde Allen, 1991 A critical history of American burlesque traces its social, demographic, and cultural changes |
| trachtenberg system: Mathemagics Arthur Benjamin, Michael Shermer, 1998 Using proven techniques, this volume shows how to add, subtract, multiply and divide faster than is possible with a calculator or pencil and paper, and helps readers conquer their nervousness about math. |
| trachtenberg system: Mental Math Ofpad The School of Genius, Abhishek V. R., 2019-05-25 You don't have to buy this book. Just read this till the end You don't have to buy this book. Just read this till end & you will learn something that will change the way you do math forever. Warning: I am revealing this secret only to the first set of readers who will buy this book & plan to put this secret back inside the book once I have enough sales. So read this until the very end while you still can.School taught you the wrong way to do mathThe way you were taught to do math, uses a lot of working memory. Working memory is the short term memory used to complete a mental task. You struggle because trying to do mental math the way you were taught in school, overloads your working memory. Let me show you what I mean with an example: Try to multiply the 73201 x 3. To do this you multiply the following:1 x 3 =0 x 3 =2 x 3 =3 x 3 =7 x 3 =This wasn't hard, & it might have taken you just seconds to multiply the individual numbers. However, to get the final answer, you need to remember every single digit you calculated to put them back together. It takes effort to get the answer because you spend time trying to recall the numbers you already calculated. Math would be easier to do in your head if you didn't have to remember so many numbers. Imagine when you tried to multiply 73201 x 3, if you could have come up with the answer, in the time it took you to multiply the individual numbers. Wouldn't you have solved the problem faster than the time it would have taken you to punch in the numbers inside a calculator? Do the opposite of what you were taught in schoolThe secret of doing mental math is to calculate from left to right instead of from right to left. This is the opposite of what you were taught in school. This works so well because it frees your working memory almost completely. It is called the LR Method where LR stands for Left to Right.Lets try to do the earlier example where we multiplied 73201 x 3. This time multiply from left to right, so we get:7 x 3 = 213 x 3 = 93 x 2 = 60 x 3 = 03 x 1 = 3Notice that you started to call out the answer before you even finished the whole multiplication problem. You don't have to remember a thing to recall & use later. So you end up doing math a lot faster. The Smart ChoiceYou could use what you learnt & apply it to solve math in the future. This might not be easy, because we just scratched the surface. I've already done the work for you. Why try to reinvent the wheel, when there is already a proven & tested system you can immediately apply. This book was first available in video format & has helped 10,000+ students from 132 countries. It is available at ofpad.com/mathcourse to enroll. This book was written to reach students who consume the information in text format. You can use the simple techniques in this book to do math faster than a calculator effortlessly in your head, even if you have no aptitude for math to begin with.Imagine waking up tomorrow being able to do lightning fast math in your head. Your family & friends will look at you like you are some kind of a genius. Since calculations are done in your head, you will acquire better mental habits in the process. So you will not just look like a genius. You will actually be one. Limited Time BonusWeekly training delivered through email is available for free as a bonus at the end of this book for the first set of readers. Once we have enough readers, this bonus will not be available for free. Why Price Is So LowThis book is priced at a ridiculous discount only to get our first set of readers. When we have enough readers the price will go up. Click Buy NowClick Buy Now to lock your discounted price & free bonus, or you risk coming back at a later date or even a few minutes from now to see the price go up. Click the yellow button that says Buy Now and lets get started. |
| trachtenberg system: Speed Math for Kids Bill Handley, 2007-03-20 Learn how to easily do quick mental math calculations Speed Math for Kids is your guide to becoming a math genius--even if you have struggled with math in the past. Believe it or not, you have the ability to perform lightning quick calculations that will astonish your friends, family, and teachers. You'll be able to master your multiplication tables in minutes, and learn basic number facts while doing it. While the other kids in class are still writing down the problems, you can be calling out the answers. Speed Math for Kids is all about playing with mathematics. This fun-filled book will teach you: How to multiply and divide large numbers in your head What you can do to make addition and subtraction easy Tricks for understanding fractions and decimals How to quickly check answers every time you make a calculation And much more If you're looking for a foolproof way to do multiplication, division, factoring estimating, and more, Speed Math for Kids is the book for you. With enough practice you'll go straight to the top of the class! |
| trachtenberg system: The Craft of International History Marc Trachtenberg, 2006-03-13 This is a practical guide to the historical study of international politics. The focus is on the nuts and bolts of historical research--that is, on how to use original sources, analyze and interpret historical works, and actually write a work of history. Two appendixes provide sources sure to be indispensable for anyone doing research in this area. The book does not simply lay down precepts. It presents examples drawn from the author's more than forty years' experience as a working historian. One important chapter, dealing with America's road to war in 1941, shows in unprecedented detail how an interpretation of a major historical issue can be developed. The aim throughout is to throw open the doors of the workshop so that young scholars, both historians and political scientists, can see the sort of thought processes the historian goes through before he or she puts anything on paper. Filled with valuable examples, this is a book anyone serious about conducting historical research will want to have on the bookshelf. |
| trachtenberg system: Undermining the Kremlin Gregory Mitrovich, 2009-08 Mitrovich argues that the Cold War policy of containment was only the first step in America's clandestine campaign to destroy Soviet power, revealing a range of previously unknown covert actions launched during the Truman and Eisenhower administrations. |
| trachtenberg system: Marvelous Multiplication and Dazzling Division Judith Hillen, Betty Cordel, Renee Mason, 2002 Students gain a conceptual understanding of the processes of multiplication and division as they work math problems and do exercises. |
| trachtenberg system: The Devil and the Jews , 1961 |
| trachtenberg system: Painless Mental Math Peter Hollins, 2020-05-19 Stop fearing math - tips and tricks to ditch the calculator and never make embarrassing errors again. Mental math is not as hard as you think it is. Well, the way you’ve been doing it is probably pretty difficult, but there’s a better, simpler way. Easily calculate: tax, tips, discounts, weights, conversions, and meaurements. Painless Mental Math is a shortcut to understanding how math really works - far differently from your childhood textbooks. It will give you techniques to use math in the real world, even for those of us traumatized from algebra/geometry/calculus class. There’s no fluff in this book, you simply learn the most common ways to quickly calculate. You will also learn about the two most famous mental math frameworks: Vedic math and the Trachtenberg Method. Once you get in the habit, it will be second nature. Never lose money to miscalculating again! Peter Hollins has studied psychology and peak human performance for over a dozen years and is a bestselling author. He has worked with a multitude of individuals to unlock their potential and path towards success. His writing draws on his academic, coaching, and research experience. Complex calculations and equations made simple - your friends will be amazed and confused. •The cause of math anxiety and hatred. •The mindset you need to excel in mental math. •The most common everyday math scenarios and how to handle them effortlessly. •Vedic math, the Trachtenberg Method, and other frameworks to solve complex equations easily. You’ll wish you knew these tips when you were still in school! For many of us, math is a subject of extreme lack of confidence. Maybe you didn’t go into a career because it is math-heavy. No more. Transform your thinking by learning a few simple tricks. Face math anywhere and anytime. Feel a sense of freedom and empowerment. Stop being intimidated and start taking charge! |
| trachtenberg system: Mathematical Intelligence Junaid Mubeen, 2022-06-02 There's so much talk about the threat posed by intelligent machines that it sometimes seems as though we should surrender to our robot overlords. But Junaid Mubeen isn't ready to throw in the towel just yet. As far as he is concerned, we have the creative edge over machines, because of a remarkable system of thought that humans have developed over the millennia. It's familiar to us all, but often badly taught in schools and misrepresented in popular discourse - maths. Computers are, of course, brilliant at totting up sums, pattern-seeking and performing mindless tasks of, well, computation. For all things calculation, machines reign supreme. But Junaid identifies seven areas of intelligence where humans can retain a crucial edge. And in exploring these areas, he opens up a fascinating world where we can develop our uniquely human mathematical superpowers. |
| trachtenberg system: Modern Approach to Speed Math Secret Vitthal B. Jadhav, 2013-11-24 ===================================================================================== Hurry up Discount on Book available Modern Approach to Speed Math Secret up to 7 February 2023 Student can enjoy book at least price. =================================================================================== ********************************************* CONTENT FROM BACK COVER Awake Mathemagician Inside You ! - Can you multiply 44465 by 8888 in single line ? - Can you figure out day on 24/5/2014 in 10 seconds ? - Can you divide 123456 by 44444 instantaneously ? - Can you raise number to any integral power ? - Can you determine divisibility of 124356 by 37 just in 5 seconds ? - Can you find square root, cube root or any root of any number without using calculator ? - Can you convert (2134)6 = ( ? )12 in 20 seconds ? SILENT FEATURES OF BOOK Introduce VJ's universal divisibility test for all number ! Reveal unique secret behind speed mathematics ! Explain concept behind each method ! Unifies Vedic math, Trachtenberg system and modern math . Presents faster method for n'th root of any number ! Give quicker methods for converting number from one base to other! Introduce one-line method to compute root of any number or polynomial equation (VJ's matrix method) Introduce novel pattern called golden pattern Golden Lemma and Golden pattern - Simplify everything right from polynomial multiplication, division , power , root , inverse etc. - Help to build generic module in high level language to carry out basic operation on polynomial - Parallel multiplication architecture for multiprocessor environment - Golden pattern(process) is applicable in many area of algebra. - Golden pattern is superior over vertically crosswise pattern mentioned in Vedic math. INTRODUCTION Now–a -days speed math system ( like Vedic Mathematics , Trachtenberg System) are gaining widespread popularity among students as well as teachers. Speed math refers to faster methods and techniques to solve arithmetic calculation mentally. It saves considerable amount of time in competitive exam. So it is worthy to study speed math. In order to compute given calculation mentally, one need to recall right kind of specific method (shortcut) out of 1000's. Instead of doing so, i) Is it possible to compute any arithmetic operation (like addition, multiplication) quickly by using scientific approach ? ii) Is it possible to derive all methods in speed math by using unique principle ? iii) Is there any unique secret (principle) behind speed mathematics ? After researching speed math about 2-3 years, I realized that there is unique secret (principle) behind speed mathematics !! This book explains entire speed mathematics by using single principle and gives introduction to new number system called as global number system. It extends VM framework in some of the area like divisibility, n'th root. Related Videos / Presentations 1) https://www.youtube.com/watch?v=b3PFjsUgULM 2) http://www.slideshare.net/jadhavvitthal1989/presentations ***************************************************** MODERN APPROACH TO SPEED MATH SECRET - PAPERBACK EDITION Due to frequent demand from reader for paperback edition of 'Modern Approach to Speed Math Secret' , it would be provided as print on demand service. TO ORDER PAPERBACK EDITION REFER http://teckguide.net/?page_id=38 For Joining course on aptitude / Visual math / Vedic math by author refer http://piclearner.com/ ************************************************ Note to Reader : Reader can post suggestion , constructive criticism or any question related to any math topic at https://www.facebook.com/vjsmathemagic OR https://www.facebook.com/groups/887201061336628/ Group on mathematics for solving reader's doubt, spreading new insight in mathematics by different experts, bringing different researcher together, boosting number sense / logical thinking in student. ****************************************************** Essence of mathematics lies in its freedom - Georg Cantor Pure mathematics is, in its way, the poetry of logical ideas. - Albert Einstein As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. - Albert Einstein “ In my opinion, all things in nature occur mathematically.” ― René Descartes Mathematical Knowledge adds vigour to the mind, free it from prejudices & superstition - John Arbuthnot Some mathematician, I believe, has said that true pleasure lies not in the discovery of truth, but in the search for it. -Tolstoy Mathematics is the queen of science, and arithmetic the queen of mathematics. - Carl Friedrich Gauss Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things. - Isaac Newton ------------------------------ Generally, researcher invests its invaluable time on research. Research book in country like America etc are more than 200 $. Though some idea, concepts seems trivial , but understand that even it takes lot of time to invent / discover. Example - decimal value system may seems simple to us, but it takes thousands of year to our ancient sages to invent the symbol for numbers & decimal value system. In true sense, researcher can understand the significance of other research, because it knows value of time that other researcher invest. This book is result of many years research. The price of book doesn't reflect value of time invested. Still by considering readers comment, price of book is changed. Now reader can enjoy the book at lower price. (Note :- If reader have any problem even after purchasing book then please contact google or send mail to author email given in book ,with your problem - book purchasing receipt. The problem occur in rare cases from Google. We will try our best to solve problem. ) |
| trachtenberg system: Knowledge Hunt 7 Shalini Khanna, 2009 The Knowledge Hunt series is an attempt to awaken the minds and kindle a thirst for knowledge in children–an important step towards the creation of thinking individuals. The books have a varied and interesting spectrum of themes set in a colourful, child-friendly layout. The content of the books has been presented in a creative, crisp and well-graded manner. |
| trachtenberg system: Mathematical Quickies & Trickies Yan Kow Cheong, 2014-10-17 Singapore’s bestselling Mathematical Quickies & Trickies, which has sold over 90,000 copies locally, contains more than 300 nonroutine problems to enhance students’ mathematical problem-solving skills. With many creative worked examples and questions, and with cartoons sprinkled throughout the book, Mathematical Quickies & Trickies would appeal primarily to these audiences: * grades 5-7 students and teachers looking for some fertile trick and tricky questions; * mathletes preparing for local and regional contests and competitions; * problem solvers longing to be challenged by questions whose obvious solutions are never the correct ones for what offhand appears to be true is false. With proper insight, you’ll learn how to solve these tricky problems almost instantly, whose solutions are almost never the correct ones. You need no longer be caught off-guard; instead, you’ll learn to solve these questions confidently—how to tame these counter-intuitive questions into routine ones. Contents 1. Mental Computation I 2. Mental Computation 2 3. Number Series 4. A Tricky Way with Fractions 5. Test Your Calculator Proficiency 6. Simplifying a Complex Fraction 7. Recurring Decimals 8. Is Zero an Even or Odd Integer? 9. Casting Out Nines 10. Be a Calculator Expert 11. Division by 9 12. Number Riddles 13. Ten Steps to be Math Smart 14. Shortcuts a la Trachtenberg 15. Geometrical Quickies 1 16. Geometrical Quickies 2 17. Geometrical Quickies 3 18. (Sugar + Coffee) + Milk = Sugar + (Coffee + Milk) 19. Applications of Number Laws 20. Law of One 21. Distributive Law 22. More Applications of Distributive Law 23. The Joy of Guesstimation 24. Are You a Fermi Disciple? 25. Bravo Singapore 26. Lightning Calculators 27. Geometrical Quickies 4 28. Some Calculator Quickies Answers & Solutions Bibliography & References Type of e-book: Nonfiction, problem solving, recreational, Singapore math, trick questions Audiences: Suitable for Grades 4-7 (or Primary 4-7 levels) |
Trachtenberg system - Wikipedia
The Trachtenberg system is a system of rapid mental calculation. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. …
How to Use the Trachtenberg Method: 3 Formulas - wikiHow
Feb 8, 2025 · The Trachtenberg Method is a mental math system to solve problems without paper. Engineer Jakow Trachtenberg, whom the method is named after, created this system during his …
The Trachtenberg Method: What It Is & How to Use It
Nov 17, 2023 · To learn the Trachtenberg System, it’s important to understand what it’s for and what it isn’t for. Generally, it’s for arithmetical multiplications that you want to solve for yourself …
Trachtenberg System - Art of Memory
The Trachtenberg System is a system of rapid mental calculation. The mental math system consists of a number of readily memorized operations that allow one to perform arithmetic computations …
Trachtenberg System - GeeksforGeeks
May 27, 2025 · Trachtenberg System enables rapid calculations by breaking down complex arithmetic operations into simpler steps. This method is particularly effective in reducing the time …
What is the Trachtenberg Method: All You Need to Know
Aug 12, 2024 · The Trachtenberg Method is a system of rapid mental calculations, without the need for pen and paper. Specifically, it focuses on multiplication, division, and addition. It has an …
The Trachtenberg Method - Definition & How to Use It - Dorothy
Jan 16, 2023 · What Is the Trachtenberg Method? While there’s a whole book about it ( The Trachtenberg Speed System of Basic Mathematics ) the Trachtenberg method is basically a …
Trachtenberg Speed Math: Learn mental math and master ...
What is Trachtenberg Speed Math? Trachtenberg Speed Math (TSM) is a software program based on Professor Jakow Trachtenberg's system of simple methods to perform high speed …
The Trachtenberg Method: Several Examples to Explore
Dec 6, 2022 · The speediest way of mental calculation is known as the Trachtenberg method. It is a complex set of formulas that comprises readily encoded actions, so once you’ve learned it, a …
Trachtenberg system - Academic Kids
The Trachtenberg System is a system of rapid calculation, somewhat similar to vedic mathematics. It was developed by the Russian engineer Jakow Trachtenberg in order to keep his mind …
Trachtenberg system - Wikipedia
The Trachtenberg system is a system of rapid mental calculation. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations …
How to Use the Trachtenberg Method: 3 Formulas - wikiHow
Feb 8, 2025 · The Trachtenberg Method is a mental math system to solve problems without paper. Engineer Jakow Trachtenberg, whom the method is named after, created this system …
The Trachtenberg Method: What It Is & How to Use It
Nov 17, 2023 · To learn the Trachtenberg System, it’s important to understand what it’s for and what it isn’t for. Generally, it’s for arithmetical multiplications that you want to solve for yourself …
Trachtenberg System - Art of Memory
The Trachtenberg System is a system of rapid mental calculation. The mental math system consists of a number of readily memorized operations that allow one to perform arithmetic …
Trachtenberg System - GeeksforGeeks
May 27, 2025 · Trachtenberg System enables rapid calculations by breaking down complex arithmetic operations into simpler steps. This method is particularly effective in reducing the …
What is the Trachtenberg Method: All You Need to Know
Aug 12, 2024 · The Trachtenberg Method is a system of rapid mental calculations, without the need for pen and paper. Specifically, it focuses on multiplication, division, and addition. It has …
The Trachtenberg Method - Definition & How to Use It - Dorothy
Jan 16, 2023 · What Is the Trachtenberg Method? While there’s a whole book about it ( The Trachtenberg Speed System of Basic Mathematics ) the Trachtenberg method is basically a …
Trachtenberg Speed Math: Learn mental math and master ...
What is Trachtenberg Speed Math? Trachtenberg Speed Math (TSM) is a software program based on Professor Jakow Trachtenberg's system of simple methods to perform high speed …
The Trachtenberg Method: Several Examples to Explore
Dec 6, 2022 · The speediest way of mental calculation is known as the Trachtenberg method. It is a complex set of formulas that comprises readily encoded actions, so once you’ve learned it, a …
Trachtenberg system - Academic Kids
The Trachtenberg System is a system of rapid calculation, somewhat similar to vedic mathematics. It was developed by the Russian engineer Jakow Trachtenberg in order to keep …
