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Author : J. Austin French
Publisher :
ISBN 13 : 9780974800387
Total Pages : pages
Book Rating : 4.8/5 (3 download)
Download or read book Calculus I by Heart written by J. Austin French and published by . This book was released on 2004-03-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Philip M. Anselone
Publisher : American Mathematical Soc.
ISBN 13 : 1614441189
Total Pages : 228 pages
Book Rating : 4.6/5 (144 download)
Download or read book The Heart of Calculus written by Philip M. Anselone and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives. The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.
Author : Philip M. Anselone
Publisher : American Mathematical Soc.
ISBN 13 : 0883857871
Total Pages : 248 pages
Book Rating : 4.8/5 (838 download)
Download or read book The Heart of Calculus written by Philip M. Anselone and published by American Mathematical Soc.. This book was released on 2015-12-31 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives. The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.
Author : J. Austin French
Publisher :
ISBN 13 : 9780974800394
Total Pages : pages
Book Rating : 4.8/5 (3 download)
Download or read book Supplementary Material for Calculus I by Heart written by J. Austin French and published by . This book was released on 2004-07-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Edward B. Burger
Publisher : Springer Science & Business Media
ISBN 13 : 9781931914413
Total Pages : 798 pages
Book Rating : 4.9/5 (144 download)
Download or read book The Heart of Mathematics written by Edward B. Burger and published by Springer Science & Business Media. This book was released on 2004-08-18 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hallmark features include: * A focus on the important ideas of mathematics that students will retain long after their formal studies are complete. * An engaging and humorous style, written to be read and enjoyed. * Ten Life Lessons that readers will apply beyond their study of mathematics. * Use of a variety of visualization techniques that direct students to model their thinking and to actively explore the world around them. New to this Edition: * A new chapter, Deciding Wisely: Applications of Rigorous Thought, provides a thought-provoking capstone. * Expanded and improved statistics and probability content in Chapter 7, Taming Uncertainty. * Enhanced Mindscapes at the end of each section which ask the reader to review, apply and think deeply about the ideas presented in the chapter. * Radically superior ancillary package.
Author : Shahriar Shahriari
Publisher : American Mathematical Soc.
ISBN 13 : 0821837508
Total Pages : 314 pages
Book Rating : 4.8/5 (218 download)
Download or read book Approximately Calculus written by Shahriar Shahriari and published by American Mathematical Soc.. This book was released on 2006 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there always a prime number between $n$ and $2n$? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this book can show you. The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear--or higher order--approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number $x$. This leads to the famous Prime Number Theorem--and to the answers to the two questions about primes. While emphasizing the role of approximations in calculus, most major topics are addressed, such as derivatives, integrals, the Fundamental Theorem of Calculus, sequences, series, and so on. However, our particular point of view also leads us to many unusual topics: curvature, Pade approximations, public key cryptography, and an analysis of the logistic equation, to name a few. The reader takes an active role in developing the material by solving problems. Most topics are broken down into a series of manageable problems, which guide you to an understanding of the important ideas. There is also ample exposition to fill in background material and to get you thinking appropriately about the concepts. Approximately Calculus is intended for the reader who has already had an introduction to calculus, but wants to engage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semester calculus course.
Author : Edward Frenkel
Publisher : Basic Books
ISBN 13 : 0465069959
Total Pages : 314 pages
Book Rating : 4.4/5 (65 download)
Download or read book Love and Math written by Edward Frenkel and published by Basic Books. This book was released on 2013-10-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Frank W. DuVall
Publisher :
ISBN 13 :
Total Pages : 63 pages
Book Rating : 4.:/5 (222 download)
Download or read book What Calculus is written by Frank W. DuVall and published by . This book was released on 2007 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Warren Cohen
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763729479
Total Pages : 1014 pages
Book Rating : 4.7/5 (294 download)
Download or read book Calculus written by David Warren Cohen and published by Jones & Bartlett Learning. This book was released on 2005 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptable to courses for non-engineering majors, this textbook illustrates the meaning of a curve through graphs and tests predictions through numerical values of change, before formally defining the limit of a sequence and function, the derivative, and the integral. The second half of the book develops techniques for integrating functions, approxi
Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486136310
Total Pages : 514 pages
Book Rating : 4.4/5 (861 download)
Download or read book Mathematics and the Physical World written by Morris Kline and published by Courier Corporation. This book was released on 2012-03-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
Author : Mark Ryan
Publisher : John Wiley & Sons
ISBN 13 : 1119297435
Total Pages : 446 pages
Book Rating : 4.1/5 (192 download)
Download or read book Calculus For Dummies written by Mark Ryan and published by John Wiley & Sons. This book was released on 2016-05-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.
Author : Deborah Hughes-Hallett
Publisher : John Wiley & Sons
ISBN 13 : 1119799066
Total Pages : 530 pages
Book Rating : 4.1/5 (197 download)
Download or read book Applied Calculus written by Deborah Hughes-Hallett and published by John Wiley & Sons. This book was released on 2021-10-26 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th edition of Applied Calculus focuses on the "Rule of Four" (viewing problems graphically, numerically, symbolically, and verbally) to promote critical thinking to reveal solutions to mathematical problems. This approach reinforces the conceptual understanding necessary to reduce complicated problems to simple procedures without losing sight of the practical value of mathematics. In this edition, the authors continue their focus on introducing different perspectives for students with updated applications, exercises, and an increased emphasis on active learning.
Author : W. Michael Kelley
Publisher : Penguin
ISBN 13 : 1615646973
Total Pages : 578 pages
Book Rating : 4.6/5 (156 download)
Download or read book The Humongous Book of Calculus Problems written by W. Michael Kelley and published by Penguin. This book was released on 2013-11-07 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Sherman K. Stein
Publisher : Courier Dover Publications
ISBN 13 : 0486801144
Total Pages : 644 pages
Book Rating : 4.4/5 (868 download)
Download or read book Calculus in the First Three Dimensions written by Sherman K. Stein and published by Courier Dover Publications. This book was released on 2016-03-15 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to calculus for both undergraduate math majors and those pursuing other areas of science and engineering for whom calculus will be a vital tool. Solutions available as free downloads. 1967 edition.
Author :
Publisher : Jones & Bartlett Publishers
ISBN 13 : 0763797375
Total Pages : 1030 pages
Book Rating : 4.7/5 (637 download)
Download or read book Calculus written by and published by Jones & Bartlett Publishers. This book was released on with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : Edward B. Burger
Publisher : John Wiley & Sons
ISBN 13 : 9780470586594
Total Pages : 948 pages
Book Rating : 4.5/5 (865 download)
Download or read book The Heart of Mathematics written by Edward B. Burger and published by John Wiley & Sons. This book was released on 2009-08-01 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heart of Mathematics: An invitation to effective thinking --now in its second edition--succeeds at reaching non-math, non-science-oriented readers and encourages them to discover the mathematics inherent in the world around them. Infused throughout with the authors' humor and enthusiasm, The Heart of Mathematics introduces readers to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.
