More Calculus Of A Single Variable

Author : Peter R. Mercer
Publisher : Springer
Page : 419 pages
File Size : 52,7 Mb
Release : 2014-10-17
Category : Mathematics
ISBN : 9781493919260

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More Calculus of a Single Variable by Peter R. Mercer Pdf

This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization. More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.

Author : Tunc Geveci
Publisher : Springer
Page : 382 pages
File Size : 40,5 Mb
Release : 2016-03-30
Category : Mathematics
ISBN : 9783319278070

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Advanced Calculus of a Single Variable by Tunc Geveci Pdf

This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L’Hôpital’s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.

Author : Earl William Swokowski
Publisher : PWS Publishing Company
Page : 800 pages
File Size : 41,6 Mb
Release : 1991
Category : Mathematics
ISBN : 0534925847

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Calculus of a Single Variable by Earl William Swokowski Pdf

The strengths of these texts are characterized by mathematical integrity, comprehensive discussions of the concepts of calculus, and an impressively large collection of worked examples and illustrative figures.

Author : Deborah Hughes-Hallett,Andrew M. Gleason,William G. McCallum,Daniel E. Flath,David O. Lomen,David Lovelock,Jeff Tecosky-Feldman,Thomas W. Tucker,Joseph Thrash,Karen R. Rhea,Andrew Pasquale,Sheldon P. Gordon,Douglas Quinney,Patti Frazer Lock
Publisher : Wiley
Page : 0 pages
File Size : 43,8 Mb
Release : 1997-10-24
Category : Mathematics
ISBN : 0471164437

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Calculus by Deborah Hughes-Hallett,Andrew M. Gleason,William G. McCallum,Daniel E. Flath,David O. Lomen,David Lovelock,Jeff Tecosky-Feldman,Thomas W. Tucker,Joseph Thrash,Karen R. Rhea,Andrew Pasquale,Sheldon P. Gordon,Douglas Quinney,Patti Frazer Lock Pdf

A revision of the best selling innovative Calculus text on the market. Functions are presented graphically, numerically, algebraically, and verbally to give readers the benefit of alternate interpretations. The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics. Revised edition features new sections on limits and continuity, limits, l'Hopital's Rule, and relative growth rates, and hyperbolic functions.

Author : Ron Larson,Bruce H. Edwards
Publisher : Unknown
Page : 850 pages
File Size : 45,9 Mb
Release : 2018
Category : Calculus
ISBN : 1337275581

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Calculus of Single Variable by Ron Larson,Bruce H. Edwards Pdf

Author : James Stewart
Publisher : Brooks Cole
Page : 0 pages
File Size : 43,7 Mb
Release : 2007
Category : Calculus
ISBN : 0495012335

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Single Variable Calculus by James Stewart Pdf

Study smarter and work toward the grade you want with this helpful guide. You'll find a short list of key concepts; a short list of skills to master; a brief introduction to the ideas of each 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.

Author : James Stewart
Publisher : Cengage Learning
Page : 0 pages
File Size : 53,6 Mb
Release : 2012-02-10
Category : Mathematics
ISBN : 1133112293

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Essential Calculus by James Stewart Pdf

This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? ESSENTIAL CALCULUS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 900 pages--two-thirds the size of Stewart's other calculus texts, and yet it contains almost all of the same topics. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books. ESSENTIAL CALCULUS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Author : K.E. Hirst
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 50,8 Mb
Release : 2005-12-17
Category : Mathematics
ISBN : 9781846282225

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Calculus of One Variable by K.E. Hirst Pdf

Adopts a user-friendly approach, with an emphasis on worked examples and exercises, rather than abstract theory The computer algebra and graphical package MAPLE is used to illustrate many of the ideas and provides an additional aid to teaching and learning Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web

Author : Ron Larson,Robert P. Hostetler,Bruce H. Edwards
Publisher : Houghton Mifflin
Page : 0 pages
File Size : 48,5 Mb
Release : 2002
Category : Calculus
ISBN : 0618149163

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Calculus of a Single Variable by Ron Larson,Robert P. Hostetler,Bruce H. Edwards Pdf

One CD-Rom in pocket.

Author : Stanley I. Grossman
Publisher : Academic Press
Page : 1177 pages
File Size : 48,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483262437

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Calculus by Stanley I. Grossman Pdf

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.

Author : Colin Adams,Abigail Thompson,Joel Hass
Publisher : Times Books
Page : 340 pages
File Size : 45,7 Mb
Release : 2015-10-06
Category : Mathematics
ISBN : 9781627798853

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How to Ace Calculus by Colin Adams,Abigail Thompson,Joel Hass Pdf

Written by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

Author : Laura Taalman,Peter Kohn
Publisher : Worth Publishers
Page : 128 pages
File Size : 42,5 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 1464125333

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Calculus by Laura Taalman,Peter Kohn Pdf

Author : Daniel Kleppner,Norman Ramsey
Publisher : John Wiley & Sons
Page : 274 pages
File Size : 53,6 Mb
Release : 1985-11-11
Category : Education
ISBN : STANFORD:36105003885121

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Quick Calculus by Daniel Kleppner,Norman Ramsey Pdf

A self study guide designed to teach the elementary techniques of differential and integral calculus. Includes problems and solutions.

Author : Robert Alexander Adams
Publisher : Unknown
Page : 688 pages
File Size : 47,8 Mb
Release : 2006
Category : Mathematics
ISBN : CORNELL:31924105423622

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Calculus by Robert Alexander Adams Pdf

Author : Lynn H. Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 0 pages
File Size : 54,9 Mb
Release : 2014
Category : Analysis
ISBN : 9814583936

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Advanced Calculus by Lynn H. Loomis,Shlomo Sternberg Pdf

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.