Second Year Calculus

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Second Year Calculus

Author : David M. Bressoud
Publisher : Springer Science & Business Media
ISBN 13 : 1461209595
Total Pages : 399 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Second Year Calculus by : David M. Bressoud

Download or read book Second Year Calculus written by David M. Bressoud and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.

Calculus Deconstructed

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

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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.

Advanced Calculus

Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus by : Lynn Harold Loomis

Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 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.

Advanced Calculus

Author : James J. Callahan
Publisher : Springer Science & Business Media
ISBN 13 : 144197332X
Total Pages : 526 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Advanced Calculus by : James J. Callahan

Download or read book Advanced Calculus written by James J. Callahan and published by Springer Science & Business Media. This book was released on 2010-09-09 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

Second Year Calculus

Author : David M Bressoud
Publisher :
ISBN 13 : 9781461209607
Total Pages : 404 pages
Book Rating : 4.2/5 (96 download)

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Book Synopsis Second Year Calculus by : David M Bressoud

Download or read book Second Year Calculus written by David M Bressoud and published by . This book was released on 1991-08-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Calculus

Author : Harold M. Edwards
Publisher : Springer Science & Business Media
ISBN 13 : 146120271X
Total Pages : 523 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Advanced Calculus by : Harold M. Edwards

Download or read book Advanced Calculus written by Harold M. Edwards and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a high-level introduction to vector calculus based solidly on differential forms. Informal but sophisticated, it is geometrically and physically intuitive yet mathematically rigorous. It offers remarkably diverse applications, physical and mathematical, and provides a firm foundation for further studies.

Calculus on Manifolds

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

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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.

Understanding Calculus

Author : H. S. Bear
Publisher : Wiley-IEEE Press
ISBN 13 : 9780471433071
Total Pages : 324 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis Understanding Calculus by : H. S. Bear

Download or read book Understanding Calculus written by H. S. Bear and published by Wiley-IEEE Press. This book was released on 2003-03-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Everything you need to know-basic essential concepts-about calculus For anyone looking for a readable alternative to the usual unwieldy calculus text, here's a concise, no-nonsense approach to learning calculus. Following up on the highly popular first edition of Understanding Calculus, Professor H. S. Bear offers an expanded, improved edition that will serve the needs of every mathematics and engineering student, or provide an easy-to-use refresher text for engineers. Understanding Calculus, Second Edition provides in a condensed format all the material covered in the standard two-year calculus course. In addition to the first edition's comprehensive treatment of one-variable calculus, it covers vectors, lines, and planes in space; partial derivatives; line integrals; Green's theorem; and much more. More importantly, it teaches the material in a unique, easy-to-read style that makes calculus fun to learn. By explaining calculus concepts through simple geometric and physical examples rather than formal proofs, Understanding Calculus, Second Edition, makes it easy for anyone to master the essentials of calculus. If the dry "theorem-and-proof" approach just doesn't work, and the traditional twenty pound calculus textbook is just too much, this book is for you.

Calculus II For Dummies®

Author : Mark Zegarelli
Publisher : John Wiley & Sons
ISBN 13 : 0470388587
Total Pages : 386 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Calculus II For Dummies® by : Mark Zegarelli

Download or read book Calculus II For Dummies® written by Mark Zegarelli and published by John Wiley & Sons. This book was released on 2008-06-02 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multivariable Mathematics

Author : Theodore Shifrin
Publisher : John Wiley & Sons
ISBN 13 : 047152638X
Total Pages : 514 pages
Book Rating : 4.4/5 (715 download)

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Book Synopsis Multivariable Mathematics by : Theodore Shifrin

Download or read book Multivariable Mathematics written by Theodore Shifrin and published by John Wiley & Sons. This book was released on 2004-01-26 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariable Mathematics combines linear algebra and multivariable mathematics in a rigorous approach. The material is integrated to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis. In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete proofs. * Contains plenty of examples, clear proofs, and significant motivation for the crucial concepts. * Numerous exercises of varying levels of difficulty, both computational and more proof-oriented. * Exercises are arranged in order of increasing difficulty.

Calculus Reordered

Author : David M. Bressoud
Publisher : Princeton University Press
ISBN 13 : 0691218781
Total Pages : 242 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Calculus Reordered by : David M. Bressoud

Download or read book Calculus Reordered written by David M. Bressoud and published by Princeton University Press. This book was released on 2021-05-04 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus presents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--especially Syracuse in Sicily and Alexandria in Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends instead that the historical order--which follows first integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.

Calculus of Variations

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 0486135012
Total Pages : 240 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Calculus of Variations by : I. M. Gelfand

Download or read book Calculus of Variations written by I. M. Gelfand and published by Courier Corporation. This book was released on 2012-04-26 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

Calculus

Author : Gilbert Strang
Publisher :
ISBN 13 : 9781938168062
Total Pages : 824 pages
Book Rating : 4.1/5 (68 download)

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Book Synopsis Calculus by : Gilbert Strang

Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published by OpenStax College, 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 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Calculus For Dummies

Author : Mark Ryan
Publisher : John Wiley & Sons
ISBN 13 : 1119297435
Total Pages : 384 pages
Book Rating : 4.1/5 (192 download)

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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 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. 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.

Introduction to Calculus and Analysis II/1

Author : Richard Courant
Publisher : Springer Science & Business Media
ISBN 13 : 3642571492
Total Pages : 585 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Introduction to Calculus and Analysis II/1 by : Richard Courant

Download or read book Introduction to Calculus and Analysis II/1 written by Richard Courant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991

Calculus

Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486134768
Total Pages : 962 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Calculus by : Morris Kline

Download or read book Calculus written by Morris Kline and published by Courier Corporation. This book was released on 2013-05-09 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.

Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach

Author : John Hamal Hubbard
Publisher :
ISBN 13 : 9780971576674
Total Pages : 284 pages
Book Rating : 4.5/5 (766 download)

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Book Synopsis Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach by : John Hamal Hubbard

Download or read book Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach written by John Hamal Hubbard and published by . This book was released on 2009 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: