Honors Calculus

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Honors Calculus

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Author : Charles R. MacCluer
Publisher : Princeton University Press
ISBN 13 : 0691218226
Total Pages : 188 pages
Book Rating : 4.6/5 (912 download)

Book Synopsis Honors Calculus by : Charles R. MacCluer

Download or read book Honors Calculus written by Charles R. MacCluer and published by Princeton University Press. This book was released on 2020-09-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory. The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field. Focuses on single variable calculus Provides a balance of precision and intuition Offers both routine and demanding exercises

Advanced Calculus (Revised Edition)

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Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

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.

A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University

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Author : Emil Artin
Publisher :
ISBN 13 : 9781258568658
Total Pages : 132 pages
Book Rating : 4.5/5 (686 download)

Book Synopsis A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University by : Emil Artin

Download or read book A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University written by Emil Artin and published by . This book was released on 2013-02 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Learning Basic Calculus

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Author : Alexander Hahn
Publisher : Springer Science & Business Media
ISBN 13 : 9780387946061
Total Pages : 572 pages
Book Rating : 4.9/5 (46 download)

Book Synopsis Learning Basic Calculus by : Alexander Hahn

Download or read book Learning Basic Calculus written by Alexander Hahn and published by Springer Science & Business Media. This book was released on 1998 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.

Honors Calculus

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Author : Henry Helson
Publisher :
ISBN 13 : 9780965521116
Total Pages : 301 pages
Book Rating : 4.5/5 (211 download)

Book Synopsis Honors Calculus by : Henry Helson

Download or read book Honors Calculus written by Henry Helson and published by . This book was released on 1995 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt:

48 Hours of Honors Calculus

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Author : Amir Babak Aazami
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781719386043
Total Pages : 212 pages
Book Rating : 4.3/5 (86 download)

Book Synopsis 48 Hours of Honors Calculus by : Amir Babak Aazami

Download or read book 48 Hours of Honors Calculus written by Amir Babak Aazami and published by Createspace Independent Publishing Platform. This book was released on 2018-07-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is ideal for a year-long sequence of Honors Calculus at the undergraduate level, or for self-study; it is based on an Honors Calculus course the author has taught at Clark University, where he is an assistant professor of Mathematics. It is intended for all students in the sciences, though the emphasis is on proofs and foundations over computations. Its sincere wish is to awaken in the student a love of mathematical argument, and to inspire her or him to major in mathematics. One novelty of the book is that it includes a substantial amount of ordinary differential equations (ODEs) and multivariable calculus, topics usually not covered in an Honors Calculus course. Applications are also discussed: compound interest and continuous compounding in finance; Newton's method; Hamiltonian systems and Newton's law of gravitation; ODEs inspired from physics and population dynamics; and an introduction to gradient descent and neural networks. There are over 120 exercises. This text is a natural precursor to more advanced undergraduate texts in real analysis, such as Understanding Analysis by Stephen Abbott or Principles of Mathematical Analysis by Walter Rudin.

Calculus on Manifolds

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Author : Michael Spivak
Publisher : Westview Press
ISBN 13 : 9780805390216
Total Pages : 164 pages
Book Rating : 4.3/5 (92 download)

Book Synopsis Calculus on Manifolds by : Michael Spivak

Download or read book Calculus on Manifolds written by Michael Spivak and published by Westview Press. This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.

A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University

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Author : Emil Artin
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University by : Emil Artin

Download or read book A Freshman Honors Course in Calculus and Analytic Geometry Taught at Princeton University written by Emil Artin and published by . This book was released on 1958 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Solutions Manual to Honors Calculus

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Author : C. MacCluer
Publisher :
ISBN 13 : 9780691126890
Total Pages : 210 pages
Book Rating : 4.1/5 (268 download)

Book Synopsis Solutions Manual to Honors Calculus by : C. MacCluer

Download or read book Solutions Manual to Honors Calculus written by C. MacCluer and published by . This book was released on 2006-03 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus I with Precalculus

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Author : Ron Larson
Publisher : Cengage Learning
ISBN 13 : 9780840068330
Total Pages : 1056 pages
Book Rating : 4.0/5 (683 download)

Book Synopsis Calculus I with Precalculus by : Ron Larson

Download or read book Calculus I with Precalculus written by Ron Larson and published by Cengage Learning. This book was released on 2011-01-01 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: CALCULUS I WITH PRECALCULUS, developed for one-year courses, is ideal for instructors who wish to successfully bring students up to speed algebraically within precalculus and transition them into calculus. The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Bob Miller's High School Calc for the Clueless - Honors and AP Calculus AB & BC

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Author : Bob Miller
Publisher : McGraw Hill Professional
ISBN 13 : 0071594639
Total Pages : 265 pages
Book Rating : 4.0/5 (715 download)

Book Synopsis Bob Miller's High School Calc for the Clueless - Honors and AP Calculus AB & BC by : Bob Miller

Download or read book Bob Miller's High School Calc for the Clueless - Honors and AP Calculus AB & BC written by Bob Miller and published by McGraw Hill Professional. This book was released on 2007-09-04 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: With Bob Miller at your side, you never have to be clueless about math again! Algebra and calculus are tough on high school students like you. Professor Bob Miller, with more than 30 years' teaching experience, is a master at making the complex simple, and his now-classic series of Clueless study aids has helped tens of thousands understand the tough subjects. Calculus-with its integrals and derivatives-is famous for tripping up even the quickest minds. Now Bob Miller-with his 30-plus years' experience teaching it-presents high school calculus in a clear, humorous, and engaging way.

Calculus Deconstructed

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Author : Zbigniew H. Nitecki
Publisher : American Mathematical Society
ISBN 13 : 1470466759
Total Pages : 491 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Calculus Deconstructed by : Zbigniew H. Nitecki

Download or read book Calculus Deconstructed written by Zbigniew H. Nitecki and published by American Mathematical Society. This book was released on 2022-01-11 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basic analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.

Bulletin MLSA

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Author : University of Michigan. College of Literature, Science, and the Arts
Publisher : UM Libraries
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Bulletin MLSA by : University of Michigan. College of Literature, Science, and the Arts

Download or read book Bulletin MLSA written by University of Michigan. College of Literature, Science, and the Arts and published by UM Libraries. This book was released on 2007 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Heart of Calculus

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Author : Philip M. Anselone
Publisher : American Mathematical Soc.
ISBN 13 : 0883857871
Total Pages : 248 pages
Book Rating : 4.8/5 (838 download)

Book Synopsis The Heart of Calculus by : Philip M. Anselone

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.

Calculus, University of Michigan Edition

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Author : James Stewart
Publisher :
ISBN 13 : 9780495461944
Total Pages : 1026 pages
Book Rating : 4.4/5 (619 download)

Book Synopsis Calculus, University of Michigan Edition by : James Stewart

Download or read book Calculus, University of Michigan Edition written by James Stewart and published by . This book was released on 2008 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus For Dummies

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Author : Mark Ryan
Publisher : John Wiley & Sons
ISBN 13 : 1119297435
Total Pages : 446 pages
Book Rating : 4.1/5 (192 download)

Book Synopsis Calculus For Dummies by : Mark Ryan

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.

An Introduction to Calculus

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Author : Robert Gardner Bartle
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis An Introduction to Calculus by : Robert Gardner Bartle

Download or read book An Introduction to Calculus written by Robert Gardner Bartle and published by . This book was released on 1968 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: