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unsolved problems in mathematics for undergraduates: Unsolved Problems in Number Theory Richard Guy, 2013-11-11 To many laymen, mathematicians appear to be problem solvers, people who do hard sums. Even inside the profession we dassify ouselves as either theorists or problem solvers. Mathematics is kept alive, much more than by the activities of either dass, by the appearance of a succession of unsolved problems, both from within mathematics itself and from the increasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solution of a problem may stifte interest in the area around it. But Fermat 's Last Theorem, because it is not yet a theorem, has generated a great deal of good mathematics, whether goodness is judged by beauty, by depth or by applicability. To pose good unsolved problems is a difficult art. The balance between triviality and hopeless unsolvability is delicate. There are many simply stated problems which experts tell us are unlikely to be solved in the next generation. But we have seen the Four Color Conjecture settled, even if we don't live long enough to learn the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfect numbers. On the other hand, unsolved problems may not be unsolved at all, or than was at first thought. |
unsolved problems in mathematics for undergraduates: Unsolved Problems in Geometry Hallard T. Croft, Kenneth Falconer, Richard K. Guy, 2012-12-06 Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians. |
unsolved problems in mathematics for undergraduates: Old and New Unsolved Problems in Plane Geometry and Number Theory Victor Klee, Stan Wagon, 1991-12-31 |
unsolved problems in mathematics for undergraduates: Advanced Problems in Mathematics: Preparing for University Stephen Siklos, 2016-01-25 This book is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge colleges as the basis for conditional offers. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics. |
unsolved problems in mathematics for undergraduates: Mage Merlin's Unsolved Mathematical Mysteries Satyan Devadoss, Matthew Harvey, 2020-07-28 Sixteen of today's greatest unsolved mathematical puzzles in a story-driven, illustrated volume that invites readers to peek over the edge of the unknown. Most people think of mathematics as a set of useful tools designed to answer analytical questions, beginning with simple arithmetic and ending with advanced calculus. But, as Mage Merlin's Unsolved Mathematical Mysteries shows, mathematics is filled with intriguing mysteries that take us to the edge of the unknown. This richly illustrated, story-driven volume presents sixteen of today's greatest unsolved mathematical puzzles, all understandable by anyone with elementary math skills. These intriguing mysteries are presented to readers as puzzles that have time-traveled from Camelot, preserved in the notebook of Merlin, the wise magician in King Arthur's court. Our guide is Mage Maryam (named in honor of the brilliant young mathematician, the late Maryam Mirzakhani), a distant descendant of Merlin. Maryam introduces the mysteries—each of which is presented across two beautifully illustrated pages—and provides mathematical and historical context afterward. We find Merlin confronting mathematical puzzles involving tinker toys (a present for Camelot's princesses from the sorceress Morgana), cake-slicing at a festival, Lancelot's labyrinth, a vault for the Holy Grail, and more. Each mystery is a sword awaiting removal from its stone, capturing the beauty and power of mathematics. |
unsolved problems in mathematics for undergraduates: Unsolved Problems on Mathematics for the 21st Century Kiyoshi Iseki, 2001 |
unsolved problems in mathematics for undergraduates: Problems in Applied Mathematics Murray S. Klamkin, 1990-01-01 People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry. |
unsolved problems in mathematics for undergraduates: Gamma Julian Havil, 2017-10-31 Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this. |
unsolved problems in mathematics for undergraduates: Love and Math Edward Frenkel, 2014-09-09 An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics. |
unsolved problems in mathematics for undergraduates: Solved and Unsolved Problems in Number Theory Daniel Shanks, 2024-01-24 The investigation of three problems, perfect numbers, periodic decimals, and Pythagorean numbers, has given rise to much of elementary number theory. In this book, Daniel Shanks, past editor of Mathematics of Computation, shows how each result leads to further results and conjectures. The outcome is a most exciting and unusual treatment. This edition contains a new chapter presenting research done between 1962 and 1978, emphasizing results that were achieved with the help of computers. |
unsolved problems in mathematics for undergraduates: The Millennium Problems Keith J. Devlin, 2005 In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: Whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive $1million in prize money. They encompass many of the most fascinating areas of pure and applied mathematics, from topology and number theory to particle physics, cryptography, computing and even aircraft design. Keith Devlin describes here what the seven problems are, how they came about, and what they mean for mathematics and science. In the hands of Devlin, each Millennium Problem becomes a fascinating window onto the deepest questions in the field. |
unsolved problems in mathematics for undergraduates: Tomorrow's Math; Unsolved Problems for the Amateur Charles Stanley Ogilvy, 1972 The meaning of an unsolved problem - Applied problems - Problems concerning games - Geometrical problems - Arithmetical problems - Topological problems - Probability and combinatorial problems - A glimpse of some problems of analysis; Fibonnaci numbers - Squares - Circles - Palindrome - Boolean algebra____________ |
unsolved problems in mathematics for undergraduates: Famous Problems of Mathematics Heinrich Tietse, 1965 |
unsolved problems in mathematics for undergraduates: Problems in Real Analysis Teodora-Liliana Radulescu, Vicentiu D. Radulescu, Titu Andreescu, 2009-06-12 Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis. |
unsolved problems in mathematics for undergraduates: Functional Equations and How to Solve Them Christopher G. Small, 2007-04-03 Over the years, a number of books have been written on the theory of functional equations. However, very little has been published which helps readers to solve functional equations in mathematics competitions and mathematical problem solving. This book fills that gap. The student who encounters a functional equation on a mathematics contest will need to investigate solutions to the equation by finding all solutions, or by showing that all solutions have a particular property. The emphasis here will be on the development of those tools which are most useful in assigning a family of solutions to each functional equation in explicit form. At the end of each chapter, readers will find a list of problems associated with the material in that chapter. The problems vary greatly, with the easiest problems being accessible to any high school student who has read the chapter carefully. The most difficult problems will be a reasonable challenge to advanced students studying for the International Mathematical Olympiad at the high school level or the William Lowell Putnam Competition for university undergraduates. The book ends with an appendix containing topics that provide a springboard for further investigation of the concepts of limits, infinite series and continuity. |
unsolved problems in mathematics for undergraduates: The Ultimate Challenge Jeffrey C. Lagarias, 2023-04-19 The $3x+1$ problem, or Collatz problem, concerns the following seemingly innocent arithmetic procedure applied to integers: If an integer $x$ is odd then “multiply by three and add one”, while if it is even then “divide by two”. The $3x+1$ problem asks whether, starting from any positive integer, repeating this procedure over and over will eventually reach the number 1. Despite its simple appearance, this problem is unsolved. Generalizations of the problem are known to be undecidable, and the problem itself is believed to be extraordinarily difficult. This book reports on what is known on this problem. It consists of a collection of papers, which can be read independently of each other. The book begins with two introductory papers, one giving an overview and current status, and the second giving history and basic results on the problem. These are followed by three survey papers on the problem, relating it to number theory and dynamical systems, to Markov chains and ergodic theory, and to logic and the theory of computation. The next paper presents results on probabilistic models for behavior of the iteration. This is followed by a paper giving the latest computational results on the problem, which verify its truth for $x < 5.4 cdot 10^{18}$. The book also reprints six early papers on the problem and related questions, by L. Collatz, J. H. Conway, H. S. M. Coxeter, C. J. Everett, and R. K. Guy, each with editorial commentary. The book concludes with an annotated bibliography of work on the problem up to the year 2000. |
unsolved problems in mathematics for undergraduates: Pell’s Equation Edward J. Barbeau, 2006-05-04 Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is an ideal topic to lead college students, as well as some talented and motivated high school students, to a better appreciation of the power of mathematical technique. Even at the specific level of quadratic diophantine equations, there are unsolved problems, and the higher degree analogues of Pell's equation, particularly beyond the third, do not appear to have been well studied. In this focused exercise book, the topic is motivated and developed through sections of exercises which will allow the readers to recreate known theory and provide a focus for their algebraic practice. There are several explorations that encourage the reader to embark on their own research. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have (or have forgotten) a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject. |
unsolved problems in mathematics for undergraduates: Solved and Unsolved Problems of Structural Chemistry Milan Randic, Marjana Novic, Dejan Plavsic, 2016-04-21 Solved and Unsolved Problems of Structural Chemistry introduces new methods and approaches for solving problems related to molecular structure. It includes numerous subjects such as aromaticity-one of the central themes of chemistry-and topics from bioinformatics such as graphical and numerical characterization of DNA, proteins, and proteomes. It a |
unsolved problems in mathematics for undergraduates: Mathematical Problems in Data Science Li M. Chen, Zhixun Su, Bo Jiang, 2015-12-15 This book describes current problems in data science and Big Data. Key topics are data classification, Graph Cut, the Laplacian Matrix, Google Page Rank, efficient algorithms, hardness of problems, different types of big data, geometric data structures, topological data processing, and various learning methods. For unsolved problems such as incomplete data relation and reconstruction, the book includes possible solutions and both statistical and computational methods for data analysis. Initial chapters focus on exploring the properties of incomplete data sets and partial-connectedness among data points or data sets. Discussions also cover the completion problem of Netflix matrix; machine learning method on massive data sets; image segmentation and video search. This book introduces software tools for data science and Big Data such MapReduce, Hadoop, and Spark. This book contains three parts. The first part explores the fundamental tools of data science. It includes basic graph theoretical methods, statistical and AI methods for massive data sets. In second part, chapters focus on the procedural treatment of data science problems including machine learning methods, mathematical image and video processing, topological data analysis, and statistical methods. The final section provides case studies on special topics in variational learning, manifold learning, business and financial data rec overy, geometric search, and computing models. Mathematical Problems in Data Science is a valuable resource for researchers and professionals working in data science, information systems and networks. Advanced-level students studying computer science, electrical engineering and mathematics will also find the content helpful. |
unsolved problems in mathematics for undergraduates: 5 Principles of the Modern Mathematics Classroom Gerald Aungst, 2015-10-09 Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended! Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today. Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces |
unsolved problems in mathematics for undergraduates: Open Problems in Mathematics and Computational Science Çetin Kaya Koç, 2015-03-25 This book presents interesting, important unsolved problems in the mathematical and computational sciences. The contributing authors are leading researchers in their fields and they explain outstanding challenges in their domains, first by offering basic definitions, explaining the context, and summarizing related algorithms, theorems, and proofs, and then by suggesting creative solutions. The authors feel a strong motivation to excite deep research and discussion in the mathematical and computational sciences community, and the book will be of value to postgraduate students and researchers in the areas of theoretical computer science, discrete mathematics, engineering, and cryptology. |
unsolved problems in mathematics for undergraduates: Model-Theoretic Logics J. Barwise, Solomon Feferman, S. Feferman, 2017-03-02 This book brings together several directions of work in model theory between the late 1950s and early 1980s. |
unsolved problems in mathematics for undergraduates: Solving Mathematical Problems Terence Tao, 2006-07-28 Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics. |
unsolved problems in mathematics for undergraduates: Mathematics for Natural Scientists Lev Kantorovich, 2015-10-08 This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume. |
unsolved problems in mathematics for undergraduates: The Girl who Played with Fire Stieg Larsson, 2010 When the reporters to a sex-trafficking exposé are murdered and computer hacker Lisbeth Salander is targeted as the killer, Mikael Blomkvist, the publisher of the exposé, investigates to clear Lisbeth's name. |
unsolved problems in mathematics for undergraduates: In Pursuit of Zeta-3 Paul J. Nahin, 2023-05-16 For centuries, mathematicians have tried, and failed, to solve the zeta-3 problem. This problem is simple in its formulation, but remains unsolved to this day, despite the attempts of some of the world's greatest mathematicians to solve it. The problem can be stated as follows: is there a simple symbolic formula for the following sum: 1+(1/2)^3+(1/3)^3+(1/4)^3+...? Although it is possible to calculate the approximate numerical value of the sum (for those interested, it's 1.20205...), there is no known symbolic expression. A symbolic formula would not only provide an exact value for the sum, but would allow for greater insight into its characteristics and properties. The answers to these questions are not of purely academic interest; the zeta-3 problem has close connections to physics, engineering, and other areas of mathematics. Zeta-3 arises in quantum electrodynamics and in number theory, for instance, and it is closely connected to the Riemann hypothesis. In In Pursuit of zeta-3, Paul Nahin turns his sharp, witty eye on the zeta-3 problem. He describes the problem's history, and provides numerous challenge questions to engage readers, along with Matlab code. Unlike other, similarly challenging problems, anyone with a basic mathematical background can understand the problem-making it an ideal choice for a pop math book-- |
unsolved problems in mathematics for undergraduates: One Hundred Problems in Elementary Mathematics Hugo Steinhaus, 2016-04-10 Both a challenge to mathematically inclined readers and a useful supplementary text for high school and college courses, One Hundred Problems in Elementary Mathematics presents an instructive, stimulating collection of problems. Many problems address such matters as numbers, equations, inequalities, points, polygons, circles, ellipses, space, polyhedra, and spheres. An equal number deal with more amusing or more practical subjects, such as a picnic ham, blood groups, rooks on a chessboard, and the doings of the ingenious Dr. Abracadabrus. Are the problems in this book really elementary? Perhaps not in the lay reader’s sense, for anyone who desires to solve these problems must know a fair amount of mathematics, up to calculus. Nevertheless, Professor Steinhaus has given complete, detailed solutions to every one of his 100 problems, and anyone who works through the solutions will painlessly learn an astonishing amount of mathematics. A final chapter provides a true test for the most proficient readers: 13 additional unsolved problems, including some for which the author himself does not know the solutions. |
unsolved problems in mathematics for undergraduates: Erdös on Graphs Fan Chung, Ron Graham, At&T Labs, 2020-08-26 This book is a tribute to Paul Erdos, the wandering mathematician once described as the prince of problem solvers and the absolute monarch of problem posers. It examines the legacy of open problems he left to the world after his death in 1996. |
unsolved problems in mathematics for undergraduates: The World's 20 Greatest Unsolved Problems John R. Vacca, 2005 When Phebe Hedges, a woman in East Hampton, New York, walked into the sea in 1806, she made visible the historical experience of a family affected by the dreaded disorder of movement, mind, and mood her neighbors called St.Vitus's dance. Doctors later spoke of Huntington’s chorea, and today it is known as Huntington's disease. This book is the first history of Huntington’s in America. Starting with the life of Phebe Hedges, Alice Wexler uses Huntington’s as a lens to explore the changing meanings of heredity, disability, stigma, and medical knowledge among ordinary people as well as scientists and physicians. She addresses these themes through three overlapping stories: the lives of a nineteenth-century family once said to “belong to the disease”; the emergence of Huntington’s chorea as a clinical entity; and the early-twentieth-century transformation of this disorder into a cautionary eugenics tale. In our own era of expanding genetic technologies, this history offers insights into the social contexts of medical and scientific knowledge, as well as the legacy of eugenics in shaping both the knowledge and the lived experience of this disease. |
unsolved problems in mathematics for undergraduates: Problem-Solving Through Problems Loren C. Larson, 1992-09-03 This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam. |
unsolved problems in mathematics for undergraduates: Mathematical Proofs Gary Chartrand, Albert D. Polimeni, Ping Zhang, 2013 This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. |
unsolved problems in mathematics for undergraduates: Intuitive Geometry Imre Bárány, K. Böröczky, 1997 |
unsolved problems in mathematics for undergraduates: Taming the Infinite Ian Stewart, 2015-04-07 From ancient Babylon to the last great unsolved problems, Ian Stewart brings us his definitive history of mathematics. In his famous straightforward style, Professor Stewart explains each major development--from the first number systems to chaos theory--and considers how each affected society and changed everyday life forever. Maintaining a personal touch, he introduces all of the outstanding mathematicians of history, from the key Babylonians, Greeks and Egyptians, via Newton and Descartes, to Fermat, Babbage and Godel, and demystifies math's key concepts without recourse to complicated formulae. Written to provide a captivating historic narrative for the non-mathematician, Taming the Infinite is packed with fascinating nuggets and quirky asides, and contains 100 illustrations and diagrams to illuminate and aid understanding of a subject many dread, but which has made our world what it is today. |
unsolved problems in mathematics for undergraduates: INTRODUCTION TO COSMOLOGY Jayant Vishnu Narlikar, 1995 |
unsolved problems in mathematics for undergraduates: A Textbook Of Engineering Mathematics-I : (As Per The New Syllabus, B.Tech. I Year Of U.P. Technical University) Gangwar, 2009 |
unsolved problems in mathematics for undergraduates: Exploring Mathematics Daniel Grieser, 2018-05-31 Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses. |
unsolved problems in mathematics for undergraduates: Euclid's Elements Euclid, Dana Densmore, 2002 The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary --from book jacket. |
unsolved problems in mathematics for undergraduates: Mathematica Stephen Wolfram, 1991 Just out, the long-waited Release 2.0 of Mathematica. This new edition of the complete reference was released simultaneously and covers all the new features of Release 2.0. Includes a comprehensive review of the increased functionality of the program. Annotation copyrighted by Book News, Inc., Portland, OR |
unsolved problems in mathematics for undergraduates: Unsolved Problems in Number Theory Richard Guy, 2013-03-09 Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity. For this new edition, the author has included new problems on symmetric and asymmetric primes, sums of higher powers, Diophantine m-tuples, and Conway's RATS and palindromes. The author has also included a useful new feature at the end of several of the sections: lists of references to OEIS, Neil Sloane's Online Encyclopedia of Integer Sequences. About the first Edition: ...many talented young mathematicians will write their first papers starting out from problems found in this book. András Sárközi, MathSciNet |
unsolved problems in mathematics for undergraduates: Math Talks for Undergraduates Serge Lang, 2012-12-06 For many years Serge Lang has given talks to undergraduates on selected items in mathematics which could be extracted at a level understandable by students who have had calculus. Written in a conversational tone, Lang now presents a collection of those talks as a book. The talks could be given by faculty, but even better, they may be given by students in seminars run by the students themselves. Undergraduates, and even some high school students, will enjoy the talks which cover prime numbers, the abc conjecture, approximation theorems of analysis, Bruhat-Tits spaces, harmonic and symmetric polynomials, and more in a lively and informal style. |
Unsolved Mysteries - The Original, Iconic Television Series
Perhaps YOU can help solve a mystery. The original Unsolved Mysteries episodes you know and love are now streaming! See the mysteries and the updates.
About - Unsolved Mysteries
Unsolved Mysteries was first broadcast in January of 1987, and is one of the longest running programs in the history of television. Each episode features four to five segments profiling real …
All New Mysteries - Unsolved Mysteries
It’s official! Unsolved Mysteries is set to return with all new episodes. Deadline article. Press Release
Can you help solve a mystery? - Unsolved Mysteries
Oct 19, 2020 · Watch Volume 1 of Unsolved Mysteries now on Netflix. Six all new episodes coming October 19th! See the official trailer for Volume 2: “
Where to Watch - Unsolved Mysteries
Need an Unsolved Mysteries fix? You can now stream the Robert Stack & Dennis Farina episodes on:
Join us in celebrating the 35th anniversary of Unsolved Mysteries!
Unsolved Mysteries: Behind The Legacy is now available to stream on multiple platforms! Check out your favorite FilmRise partners to see where you can watch. #UnsolvedMysteries35
Archived Cases - Unsolved Mysteries
Case categories include: Murder, Missing Persons, Wanted Fugitives, UFOs, Ghosts, Amnesia, Fraud, and more. Help solve a mystery!
Patty Stallings - Unsolved Mysteries
Bottom line/ had unsolved mysteries not done the show they did on the case, Patry would still be in prison, still be innocent and mr. McElroy would be to blame. She was freed DESPITE his …
Podcast - Unsolved Mysteries
The bodies of Mike and Cathy Scott, and their two elderly mothers, are sprawled across the blood-soaked floor of their Pendleton, SC home. Seven years later, the brutal quadruple …
Discover Mysterious Mutilations Case - Unsolved Mysteries
Curious if Mysterious Mutilations Case Were Solved? Find Out Answer on Unsolved Mysteries Broadcast Website. Unsolved Mysteries Also Includes Cases Related to Murder, Missing …
Unsolved Mysteries - The Original, Iconic Television Series
Perhaps YOU can help solve a mystery. The original Unsolved Mysteries episodes you know and love are now streaming! See the mysteries and the updates.
About - Unsolved Mysteries
Unsolved Mysteries was first broadcast in January of 1987, and is one of the longest running programs in the history of television. Each episode features four to five segments profiling real …
All New Mysteries - Unsolved Mysteries
It’s official! Unsolved Mysteries is set to return with all new episodes. Deadline article. Press Release
Can you help solve a mystery? - Unsolved Mysteries
Oct 19, 2020 · Watch Volume 1 of Unsolved Mysteries now on Netflix. Six all new episodes coming October 19th! See the official trailer for Volume 2: “
Where to Watch - Unsolved Mysteries
Need an Unsolved Mysteries fix? You can now stream the Robert Stack & Dennis Farina episodes on:
Join us in celebrating the 35th anniversary of Unsolved Mysteries!
Unsolved Mysteries: Behind The Legacy is now available to stream on multiple platforms! Check out your favorite FilmRise partners to see where you can watch. #UnsolvedMysteries35
Archived Cases - Unsolved Mysteries
Case categories include: Murder, Missing Persons, Wanted Fugitives, UFOs, Ghosts, Amnesia, Fraud, and more. Help solve a mystery!
Patty Stallings - Unsolved Mysteries
Bottom line/ had unsolved mysteries not done the show they did on the case, Patry would still be in prison, still be innocent and mr. McElroy would be to blame. She was freed DESPITE his …
Podcast - Unsolved Mysteries
The bodies of Mike and Cathy Scott, and their two elderly mothers, are sprawled across the blood-soaked floor of their Pendleton, SC home. Seven years later, the brutal quadruple …
Discover Mysterious Mutilations Case - Unsolved Mysteries
Curious if Mysterious Mutilations Case Were Solved? Find Out Answer on Unsolved Mysteries Broadcast Website. Unsolved Mysteries Also Includes Cases Related to Murder, Missing …