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| shell method formula y-axis: APEX Calculus Gregory Hartman, 2015 APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back). |
| shell method formula y-axis: Calculus Volume 3 Edwin Herman, Gilbert Strang, 2016-03-30 Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations. |
| shell method formula y-axis: Calculus Stanley I. Grossman, 2014-05-10 Calculus, Second Edition discusses the techniques and theorems of calculus. This edition introduces the sine and cosine functions, distributes ?-? material over several chapters, and includes a detailed account of analytic geometry and vector analysis. This book also discusses the equation of a straight line, trigonometric limit, derivative of a power function, mean value theorem, and fundamental theorems of calculus. The exponential and logarithmic functions, inverse trigonometric functions, linear and quadratic denominators, and centroid of a plane region are likewise elaborated. Other topics include the sequences of real numbers, dot product, arc length as a parameter, quadric surfaces, higher-order partial derivatives, and Green's theorem in the plane. This publication is a good source for students learning calculus. |
| shell method formula y-axis: Calculus for Computer Graphics John Vince, 2019-03-12 Students studying different branches of computer graphics have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. In this 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred and seventy colour illustrations. This book complements the author’s other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation. |
| shell method formula y-axis: The Complete Idiot's Guide to Calculus W. Michael Kelley, 2006 Let's face it- most students don't take calculus because they find it intellectually stimulating. It's not . . . at least for those who come up on the wrong side of the bell curve! There they are, minding their own business, working toward some non-science related degree, when . . . BLAM! They get next semester's course schedule in the mail, and first on the list is the mother of all loathed college courses . . . CALCULUS! Not to fear-The Complete Idiot's Guide to Calculus, Second Edition, like its predecessor, is a curriculum-based companion book created with this audience in mind. This new edition continues the tradition of taking the sting out of calculus by adding more explanatory graphs and illustrations and doubling the number of practice problems! By the time readers are finished, they will have a solid understanding (maybe even a newfound appreciation) for this useful form of math. And with any luck, they may even be able to make sense of their textbooks and teachers. |
| shell method formula y-axis: Calculus 2 Simplified Oscar E. Fernandez, 2025-04-01 From the author of Calculus Simplified, an accessible, personalized approach to Calculus 2 Second-semester calculus is rich with insights into the nature of infinity and the very foundations of geometry, but students can become overwhelmed as they struggle to synthesize the range of material covered in class. Oscar Fernandez provides a “Goldilocks approach” to learning the mathematics of integration, infinite sequences and series, and their applications—the right depth of insights, the right level of detail, and the freedom to customize your student experience. Learning calculus should be an empowering voyage, not a daunting task. Calculus 2 Simplified gives you the flexibility to choose your calculus adventure, and the right support to help you master the subject. Provides an accessible, user-friendly introduction to second-semester college calculus The unique customizable approach enables students to begin first with integration (traditional) or with sequences and series (easier) Chapters are organized into mini lessons that focus first on developing the intuition behind calculus, then on conceptual and computational mastery Features more than 170 solved examples that guide learning and more than 400 exercises, with answers, that help assess understanding Includes optional chapter appendixes Comes with supporting materials online, including video tutorials and interactive graphs |
| shell method formula y-axis: Active Calculus 2018 Matthew Boelkins, 2018-08-13 Active Calculus - single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. In the HTML version, more than 250 of the exercises are available as interactive WeBWorK exercises; students will love that the online version even looks great on a smart phone. Each section of Active Calculus has at least 4 in-class activities to engage students in active learning. Normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. Each section concludes with a short summary and exercises; the non-WeBWorK exercises are typically involved and challenging. More information on the goals and structure of the text can be found in the preface. |
| shell method formula y-axis: The Humongous Book of Calculus Problems W. Michael Kelley, 2013-11-07 Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. --Includes 1,000 problems with comprehensive solutions --Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps --Kelley is a former award-winning calculus teacher |
| shell method formula y-axis: Calculus Saturnino L. Salas, Einar Hille, Garret J. Etgen, 2006-11-29 For ten editions, readers have turned to Salas to learn the difficult concepts of calculus without sacrificing rigor. Wiley is proud to publish a new revision of Calculus: One and Several Variables 10th Edition, known for its elegant writing style, precision and perfect balance of theory and applications. The Tenth Edition is refined to offer students an even clearer understanding of calculus and insight into mathematics. It includes a wealth of rich problem sets which makes calculus relevant for students. Salas/Hille/Etgen is recognized for its mathematical integrity, accuracy, and clarity that will help readers master these concepts and understand their relevance to the real world. |
| shell method formula y-axis: Calculus Jon Rogawski, 2008-06-23 This new text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal it has the perfect balance for instructors and their students. |
| shell method formula y-axis: AP® Calculus AB & BC Crash Course, 2nd Ed., Book + Online J. Rosebush, Flavia Banu, 2016-10-06 REA's Crash Course® for the AP® Calculus AB & BC Exams - Gets You a Higher Advanced Placement® Score in Less Time 2nd Edition - Updated for the 2017 Exams The REA Crash Course is the top choice for the last-minute studier, or any student who wants a quick refresher on the subject. Are you crunched for time? Have you started studying for your Advanced Placement® Calculus AB & BC exams yet? How will you memorize everything you need to know before the tests? Do you wish there was a fast and easy way to study for the exams and boost your score? If this sounds like you, don't panic. REA's Crash Course for AP® Calculus AB & BC is just what you need. Go with America’s No. 1 quick-review prep for AP® exams to get these outstanding features: Targeted, Focused Review - Study Only What You Need to Know The REA Crash Course is based on an in-depth analysis of the AP® Calculus AB & BC course description outline and actual AP® test questions. It covers only the information tested on the exams, so you can make the most of your valuable study time. Written by experienced AP® Calculus instructors, the targeted review chapters prepare students for the test by only focusing on the topics tested on the AP® Calculus AB & BC exams. Our easy-to-read format gives students a quick but strategic course in AP® Calculus AB & BC and covers functions, graphs, units, derivatives, integrals, and polynomial approximations and series. Expert Test-taking Strategies Our author shares detailed question-level strategies and explain the best way to answer AP® questions you'll find on the exams. By following this expert tips and advice, you can boost your overall point score! Take REA's Practice Exams After studying the material in the Crash Course, go to the online REA Study Center and test what you've learned. Our online practice exams (one for Calculus AB, one for Calculus BC) feature timed testing, detailed explanations of answers, and automatic scoring analysis. Each exam is balanced to include every topic and type of question found on the actual AP® exam, so you know you're studying the smart way. Whether you're cramming for the test at the last minute, looking for an extra edge, or want to study on your own in preparation for the exams - this is the quick-review study guide every AP® Calculus AB & BC student should have. When it’s crunch time and your Advanced Placement® exam is just around the corner, you need REA's Crash Course® for AP® Calculus AB & BC! About the Authors Joan Marie Rosebush teaches calculus courses at the University of Vermont. Ms. Rosebush has taught mathematics to elementary, middle school, high school, and college students. She taught AP® Calculus via satellite television to high school students scattered throughout Vermont. Ms. Rosebush earned her Bachelor of Arts degree in elementary education, with a concentration in mathematics, at the University of New York in Cortland, N.Y. She received her Master's Degree in education from Saint Michael's College, Colchester, Vermont. Flavia Banu graduated from Queens College of the City University of New York with a B.A. in Pure Mathematics and an M.A.in Pure Mathematics in 1997. Ms. Banu was an adjunct professor at Queens College where she taught Algebra and Calculus II. Currently, she teaches mathematics at Bayside High School in Bayside, New York, and coaches the math team for the school. Her favorite course to teach is AP® Calculus because it requires “the most discipline, rigor and creativity.” About Our Editor and Technical Accuracy Checker Stu Schwartz has been teaching mathematics since 1973. For 35 years he taught in the Wissahickon School District, in Ambler, Pennsylvania, specializing in AP® Calculus AB and BC and AP® Statistics. Mr. Schwartz received his B.S. degree in Mathematics from Temple University, Philadelphia. Mr. Schwartz was a 2002 recipient of the Presidential Award for Excellence in Mathematics Teaching and also won the 2007 Outstanding Educator of the Year Award for the Wissahickon School District. Mr. Schwartz’s website, www.mastermathmentor.com, is geared toward helping educators teach AP® Calculus, AP® Statistics, and other math courses. Mr. Schwartz is always looking for ways to provide teachers with new and innovative teaching materials, believing that it should be the goal of every math teacher not only to teach students mathematics, but also to find joy and beauty in math as well. |
| shell method formula y-axis: Calculus Set Free C. Bryan Dawson, 2022 Calculus Set Free: Infinitesimals to the Rescue is a single-variable calculus textbook that incorporates the use of infinitesimal methods. The procedures used throughout make many of the calculations simpler and the concepts clearer for undergraduate students, heightening success and easing a significant burden of entry into STEM disciplines. This text features a student-friendly exposition with ample marginal notes, examples, illustrations, and more. The exercises include a wide range of difficulty levels, stretching from very simple rapid response questions to the occasional exercise meant to test knowledge. While some exercises require the use of technology to work through, none are dependent on any specific software. The answers to odd-numbered exercises in the back of the book include both simplified and non-simplified answers, hints, or alternative answers. Throughout the text, notes in the margins include comments meant to supplement understanding, sometimes including line-by-line commentary for worked examples. Without sacrificing academic rigor, Calculus Set Free offers an engaging style that helps students to solidify their understanding on difficult theoretical calculus. |
| shell method formula y-axis: Calculus II Workbook For Dummies Mark Zegarelli, 2023-07-25 Work your way through Calc 2 with crystal clear explanations and tons of practice Calculus II Workbook For Dummies is a hands-on guide to help you practice your way to a greater understanding of Calculus II. You’ll get tons of chances to work on intermediate calculus topics such as substitution, integration techniques and when to use them, approximate integration, and improper integrals. This book is packed with practical examples, plenty of practice problems, and access to online quizzes so you’ll be ready when it’s test time. Plus, every practice problem in the book and online has a complete, step-by-step answer explanation. Great as a supplement to your textbook or a refresher before taking a standardized test like the MCAT, this Dummies workbook has what you need to succeed in this notoriously difficult subject. Review important concepts from Calculus I and pre-calculus Work through practical examples for integration, differentiation, and beyond Test your knowledge with practice problems and online quizzes—and follow along with step-by-step solutions Get the best grade you can on your Calculus II exam Calculus II Workbook For Dummies is an essential resource for students, alone or in tandem with Calculus II For Dummies. |
| shell method formula y-axis: Calculus II Jerrold Marsden, Alan Weinstein, 2012-12-06 The second of a three-volume work, this is the result of the authors'experience teaching calculus at Berkeley. The book covers techniques and applications of integration, infinite series, and differential equations, the whole time motivating the study of calculus using its applications. The authors include numerous solved problems, as well as extensive exercises at the end of each section. In addition, a separate student guide has been prepared. |
| shell method formula y-axis: Python Data Science Handbook Jake VanderPlas, 2016-11-21 For many researchers, Python is a first-class tool mainly because of its libraries for storing, manipulating, and gaining insight from data. Several resources exist for individual pieces of this data science stack, but only with the Python Data Science Handbook do you get them all—IPython, NumPy, Pandas, Matplotlib, Scikit-Learn, and other related tools. Working scientists and data crunchers familiar with reading and writing Python code will find this comprehensive desk reference ideal for tackling day-to-day issues: manipulating, transforming, and cleaning data; visualizing different types of data; and using data to build statistical or machine learning models. Quite simply, this is the must-have reference for scientific computing in Python. With this handbook, you’ll learn how to use: IPython and Jupyter: provide computational environments for data scientists using Python NumPy: includes the ndarray for efficient storage and manipulation of dense data arrays in Python Pandas: features the DataFrame for efficient storage and manipulation of labeled/columnar data in Python Matplotlib: includes capabilities for a flexible range of data visualizations in Python Scikit-Learn: for efficient and clean Python implementations of the most important and established machine learning algorithms |
| shell method formula y-axis: Calculus II For Dummies® Mark Zegarelli, 2008-06-02 An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject. |
| shell method formula y-axis: Mathematical Computing David Betounes, Mylan Redfern, 2001-12-07 This book teaches introductory computer programming using Maple, offering more mathematically oriented exercises and problems than those found in traditional programming courses, while reinforcing and applying concepts and techniques of calculus. Includes case studies. |
| shell method formula y-axis: Calculus: Early Transcendentals (Paper) Jon Rogawski, 2011-03-30 What’s the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching—supported by Rogawski’s Calculus Second Edition—the most successful new calculus text in 25 years! Widely adopted in its first edition, Rogawski’s Calculus worked for instructors and students by balancing formal precision with a guiding conceptual focus. Rogawski engages students while reinforcing the relevance of calculus to their lives and future studies. Precise mathematics, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together to help students grasp a deeper understanding of calculus. Now Rogawski’s Calculus success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning experience. |
| shell method formula y-axis: Calculus with Analytic Geometry Murray H. Protter, Philip E. Protter, 1988 |
| shell method formula y-axis: The Nuclear Many-Body Problem Peter Ring, Peter Schuck, 2004-03-25 Study Edition |
| shell method formula y-axis: Math Code Projects Alisa Turing, AI, 2025-02-17 Math Code Projects unveils the synergy between mathematics and programming, demonstrating how coding can illuminate complex mathematical principles. By actively engaging with concepts like number theory, linear algebra, and calculus through Python, readers can transform passive learning into active discovery. The book showcases how number theory underpins cryptography for secure communication and how linear algebra facilitates image processing and data analysis. This book uniquely emphasizes hands-on learning. Starting with Python fundamentals, it progresses through mathematical domains, offering step-by-step code examples and practical projects. Each chapter builds upon the previous one, culminating in advanced projects that integrate multiple mathematical disciplines, such as simulating physical phenomena or creating optimization algorithms. By blending mathematical theory with computational experiments, Math Code Projects connects computer science, physics, and data science. Readers gain an intuitive understanding of abstract concepts, enhancing problem-solving skills applicable in cryptography, data analysis, and scientific simulations. |
| shell method formula y-axis: Elementary Calculus H. Jerome Keisler, 2013-04-22 This first-year calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including approximation problems, vectors, partial derivatives, and multiple integrals. 2007 edition. |
| shell method formula y-axis: Calculus II For Dummies Mark Zegarelli, 2023-03-13 The easy (okay, easier) way to master advanced calculus topics and theories Calculus II For Dummies will help you get through your (notoriously difficult) calc class—or pass a standardized test like the MCAT with flying colors. Calculus is required for many majors, but not everyone’s a natural at it. This friendly book breaks down tricky concepts in plain English, in a way that you can understand. Practical examples and detailed walkthroughs help you manage differentiation, integration, and everything in between. You’ll refresh your knowledge of algebra, pre-calc and Calculus I topics, then move on to the more advanced stuff, with plenty of problem-solving tips along the way. Review Algebra, Pre-Calculus, and Calculus I concepts Make sense of complicated processes and equations Get clear explanations of how to use trigonometry functions Walk through practice examples to master Calc II Use this essential resource as a supplement to your textbook or as refresher before taking a test—it’s packed with all the helpful knowledge you need to succeed in Calculus II. |
| shell method formula y-axis: How to Solve Word Problems in Calculus Eugene Don, Benay Don, 2001-07-21 Considered to be the hardest mathematical problems to solve, word problems continue to terrify students across all math disciplines. This new title in the World Problems series demystifies these difficult problems once and for all by showing even the most math-phobic readers simple, step-by-step tips and techniques. How to Solve World Problems in Calculus reviews important concepts in calculus and provides solved problems and step-by-step solutions. Once students have mastered the basic approaches to solving calculus word problems, they will confidently apply these new mathematical principles to even the most challenging advanced problems.Each chapter features an introduction to a problem type, definitions, related theorems, and formulas.Topics range from vital pre-calculus review to traditional calculus first-course content.Sample problems with solutions and a 50-problem chapter are ideal for self-testing.Fully explained examples with step-by-step solutions. |
| shell method formula y-axis: Top Shelf Joseph Caruso, 2003 Covers derivatives and integrals of exponential and logarithmic functions, related rates and volumes, and more. Provides unique mathematical challenges to engage students. |
| shell method formula y-axis: Salas and Hille's Calculus Saturnino L. Salas, Garret J. Etgen, Einar Hille, 1995-05-19 The new early transcendentals version presents the logarithmic, exponential and other transcendental functions before the definite integral so these topics can be taught early in the course. This organization allows the authors to provide interesting applications which include transcendental functions in the material on applications of the derivative, integration and applications of the integral. The latest edition incorporates modern technology and recent trends without sacrificing the acknowledged strengths of previous versions. Contains over 1300 new problems as well as more illustrations. Fresh technology-based examples support numerous exercises requiring the use of a graphics calculator or other graphing software. |
| shell method formula y-axis: Calculus: Concept and Applications Dr. Sivasankar, Dr. Chandrakala S.B, Dr. Hemalatha N. C, Dr. Gousia Begum, 2024-05-21 Calculus is a cornerstone of modern mathematics and serves as a vital tool for understanding the world around us. From modeling the growth of populations to predicting the trajectory of rockets, the concepts of calculus are deeply embedded in the fabric of science, engineering, economics, and numerous other fields. This book, Introduction to Calculus, is designed to offer a comprehensive yet accessible exploration of calculus, bridging foundational theory with practical applications. The journey begins with a focus on the Introduction to Calculus, offering a conceptual framework by exploring rates of change, the historical context of its development, and its significance in various disciplines. This historical perspective not only situates calculus within the broader narrative of mathematical discovery but also demonstrates its lasting impact on various scientific and engineering endeavors. In subsequent chapters, we delve deeper into key topics that form the core of calculus. The chapter on Functions and Limits establishes the groundwork by explaining fundamental concepts such as functions, types of functions, and limits. These ideas serve as the building blocks for the study of Differentiation and Integration, where the rules and techniques are systematically explored. Each chapter is structured to introduce new concepts gradually, followed by relevant applications—optimization, curve sketching, and areas under curves—to show the tangible use of calculus in real-world problem-solving. Beyond the basics, the book expands to cover more advanced topics. The chapters on Differential Equations introduce first-order equations and their practical applications, while Sequences and Series provide insights into the behavior of infinite processes, such as Taylor and Maclaurin series. A special section on Multivariable Calculus addresses functions of several variables, partial derivatives, and vector calculus, extending the scope of the reader’s understanding into more complex dimensions. Recognizing the interdisciplinary nature of calculus, we have included a chapter dedicated to its applications in Science and Engineering. This section illustrates how calculus supports the exploration of phenomena in physics, engineering, economics, and biology, emphasizing its broad relevance. The final chapters introduce readers to Advanced Topics in Calculus, including nonlinear differential equations, Laplace transforms, and Fourier series, as well as computational tools such as MATLAB, Mathematica, and Python. These computational tools allow readers to apply numerical methods and visualize calculus problems in ways that were previously unimaginable. The aim of this book is to provide a clear, structured, and engaging approach to learning calculus, regardless of the reader’s background or experience level. Whether you are a student embarking on your first encounter with calculus or a professional looking to refresh your knowledge, we hope this book will guide you through both the theoretical and practical aspects of the subject. We encourage you to engage deeply with the exercises and real-world applications provided in each chapter. By doing so, you will not only master the fundamental concepts but also gain an appreciation for the elegance and power of calculus. |
| shell method formula y-axis: MATH 221 FIRST Semester Calculus Sigurd Angenent, 2014-11-26 MATH 221 FIRST Semester CalculusBy Sigurd Angenent |
| shell method formula y-axis: Single Variable Calculus Jon Rogawski, 2007-06-11 The single-variable volume of Rogawski's new text presents this section of the calculus course with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students. |
| shell method formula y-axis: Calculus Stanley I. Grossman, 2014-05-10 Calculus, Third Edition emphasizes the techniques and theorems of calculus, including many applied examples and exercises in both drill and applied-type problems. This book discusses shifting the graphs of functions, derivative as a rate of change, derivative of a power function, and theory of maxima and minima. The area between two curves, differential equations of exponential growth and decay, inverse hyperbolic functions, and integration of rational functions are also elaborated. This text likewise covers the fluid pressure, ellipse and translation of axes, graphing in polar coordinates, proof of l'Hôpital's rule, and approximation using Taylor polynomials. Other topics include the rectangular coordinate system in space, higher-order partial derivatives, line integrals in space, and vibratory motion. This publication is valuable to students taking calculus. |
| shell method formula y-axis: Single Variable Calculus Soo Tang Tan, 2020-02 |
| shell method formula y-axis: Stewart's Single Variable Calculus James Stewart, Richard St. Andre, 2007-04 This helpful guide contains a short list of key concepts; a short list of skills to master; a brief introduction to the ideas of the section; an elaboration of the concepts and skills, including extra worked-out examples; and links in the margin to earlier and later material in the text and Study Guide. |
| shell method formula y-axis: Single Variable Calculus: Early Transcendentals Jon Rogawski, 2007-06-11 Organized to support an early transcendentals approach to the single variable course, this version of Rogawski's highly anticipated text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students. |
| shell method formula y-axis: Chebyshev and Fourier Spectral Methods John P. Boyd, 2001-12-03 Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures. |
| shell method formula y-axis: Calculus I with Integrated Precalculus Laura Taalman, 2013-01-14 Taalman’s Calculus I with Integrated Precalculus helps students with weak mathematical backgrounds be successful in the calculus sequence, without retaking a precalculus course. Taalman’s innovative text is the only book to interweave calculus with precalculus and algebra in a manner suitable for math and science majors— not a rehashing or just-in-time review of precalculus and algebra, but rather a new approach that uses a calculus-level toolbox to examine the structure and behavior of algebraic and transcendental functions. This book was written specifically to tie in with the material covered in Taalman/Kohn Calculus. Students who begin their calculus sequence with Calculus I with Integrated Precalculus can easily continue on to Calculus II using the Taalman/Kohn text. |
| shell method formula y-axis: Differential Equations Raymond M. Redheffer, Dan Port, 1991 |
| shell method formula y-axis: Introduction to GNU Octave Jason Lachniet, 2018-11-21 A brief introduction to scientific computing with GNU Octave. Designed as a textbook supplement for freshman and sophomore level linear algebra and calculus students. |
| shell method formula y-axis: Calculus Howard Anton, Irl C. Bivens, Stephen Davis, 2021-11-02 Calculus: Early Transcendentals Single Variable, 12th Edition offers students a rigorous and intuitive treatment of single variable calculus, including the differentiation and integration of one variable. Using the Rule of Four, the authors present mathematical concepts from verbal, algebraic, visual, and numerical points of view. The book includes numerous exercises, applications, and examples that help readers learn and retain the concepts discussed within, and discusses polynomials, rational functions, exponentials, logarithms, and trigonometric functions early in the text. |
| shell method formula y-axis: 100 Smart Ways to Teach Mathematics Chong An Chang, 2012-02 How can math magic surprise an audience What is the personality of decimals and fractions? What is the best order to teach integer operations? What is the fence law? Can we have two cosine laws? How can two words help us study trigonometry? What function equals its inverse? These and many more topics are thoroughly explored in this book. Follow Dr. C as he takes you on a journey filled with unique cases and entertaining stories. Each of the 100 sections focuses on a different topic and introduces readers to an entirely new way of learning smart mathematics. This book represents the author's life-long teaching experience in three countries through which he developed his trademark style of conveying complex concepts with ease. The book is written in two parts and closely follows math curriculum widely used in the US and Canada. Part 1 covers material from grade 1 to 8. Part 2 is developed for high school and up. Teachers teaching any grade can find it a useful tool while students will appreciate its light-hearted but insightful delivery as a reference. |
| shell method formula y-axis: The Method of Fluxions And Infinite Series Isaac Newton, 1736 |
linux - What does $@ mean in a shell script? - Stack Overflow
Apr 3, 2012 · The shell splits tokens based on the contents of the IFS environment variable. Its default value is \t\n; i.e., whitespace, tab, and newline. Expanding "$@" gives you a pristine copy …
What is the $? (dollar question mark) variable in shell scripting?
The shell treats several parameters specially. These parameters may only be referenced; assignment to them is not allowed. [...]? Expands to the exit status of the most recently executed …
bash - Shell equality operators (=, ==, -eq) - Stack Overflow
What is the difference between =, == and -eq in shell scripting? Is there any difference between the following?
shell - Difference between sh and Bash - Stack Overflow
Shell - "Shell" is a program, which facilitates the interaction between the user and the operating system (kernel). There are many shell implementations available, like sh, Bash, C shell, Z shell, …
bash - What is the purpose of "&&" in a shell command? - Stack …
Oct 27, 2021 · In shell, when you see $ command one && command two the intent is to execute the command that follows the && only if the first command is successful. This is idiomatic of Posix …
How to represent multiple conditions in a shell if statement?
Sep 30, 2010 · Indeed, if you read the 'portable shell' guidelines for the autoconf tool or related packages, this notation — using '||' and '&&' — is what they recommend. I suppose you could …
linux - What is the meaning of -n, -z, -x, -L, -d, etc... in Shell ...
Nov 16, 2018 · IMHO best way is you could simply do man test for all these details. It is very well explained there. As follows is the text from man page.
shell - How do I set a variable to the output of a command in Bash ...
As an aside, all-caps variables are defined by POSIX for variable names with meaning to the operating system or shell itself, whereas names with at least one lowercase character are …
shell - How to concatenate string variables in Bash - Stack Overflow
Nov 15, 2010 · A bashism is a shell feature which is only supported in bash and certain other more advanced shells. It will not work under busybox sh or dash (which is /bin/sh on a lot of distros), or …
shell - Difference between single and double quotes in Bash - Stack ...
Jul 14, 2011 · Since this is the de facto answer when dealing with quotes in Bash, I'll add upon one more point missed in the answers above, when dealing with the arithmetic operators in the shell. …
linux - What does $@ mean in a shell script? - Stack Overflow
Apr 3, 2012 · The shell splits tokens based on the contents of the IFS environment variable. Its default value is \t\n; i.e., whitespace, tab, and newline. Expanding "$@" gives you a pristine copy of the arguments passed. …
What is the $? (dollar question mark) variable in shell scripting?
The shell treats several parameters specially. These parameters may only be referenced; assignment to them is not allowed. [...]? Expands to the exit status of the most recently executed foreground pipeline. ANSI C and …
bash - Shell equality operators (=, ==, -eq) - Stack Overflow
What is the difference between =, == and -eq in shell scripting? Is there any difference between the following?
shell - Difference between sh and Bash - Stack Overflow
Shell - "Shell" is a program, which facilitates the interaction between the user and the operating system (kernel). There are many shell implementations available, like sh, Bash, C shell, Z shell, etc. Using any of the shell …
bash - What is the purpose of "&&" in a shell command? - Stack Overfl…
Oct 27, 2021 · In shell, when you see $ command one && command two the intent is to execute the command that follows the && only if the first command is successful. This is idiomatic of Posix shells, and not only …
