Calculus With Applications

Author:   Peter D. Lax ,  Maria Shea Terrell
Publisher:   Springer-Verlag New York Inc.
Edition:   2nd ed. 2014
ISBN:  

9781493936885


Pages:   503
Publication Date:   21 September 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Calculus With Applications


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Overview

Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of  functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.

Full Product Details

Author:   Peter D. Lax ,  Maria Shea Terrell
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2nd ed. 2014
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   7.723kg
ISBN:  

9781493936885


ISBN 10:   1493936883
Pages:   503
Publication Date:   21 September 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

1 Numbers and Limits.- 2 Functions and Continuity.- 3 The Derivative and Differentiation.- 4 The Theory of Differentiable Functions.- 5 Applications of the Derivative.- 6 Integration.- 7 Methods for Integration.- 8 Approximation of Integrals.- 9 Complex Numbers.- 10 Differential Equations.- 11 Probability.- Answers to Selected Probems.- Index.

Reviews

From the book reviews: The book under review, a little over 500 pages co-authored with Maria Terrell, is a first-approximation to Lax's dream come true: a `thorough revision' of the 1976 Lax-Burstein-Lax. ... This reviewer will attempt to use them as a pedagogical tool when teaching single-variable calculus or introductory analysis in the future. ... It is filled with beautiful ideas that are elegantly explained and chock-full with problems that will enchant both the experienced teacher and the curious novice. (Tushar Das, MAA Reviews, December, 2014) The text starts with introductory facts on real numbers, sequences and limits, followed by chapters aimed at differential and integral calculus. ... The text is accompanied by a lot of worked examples, figures and applications. Together with detailed proofs of theorems this makes the text suitable also for self-study. (Vladimir Janis, zbMATH, 2014)


From the book reviews: The book under review, a little over 500 pages co-authored with Maria Terrell, is a first-approximation to Lax's dream come true: a 'thorough revision' of the 1976 Lax-Burstein-Lax. ... This reviewer will attempt to use them as a pedagogical tool when teaching single-variable calculus or introductory analysis in the future. ... It is filled with beautiful ideas that are elegantly explained and chock-full with problems that will enchant both the experienced teacher and the curious novice. (Tushar Das, MAA Reviews, December, 2014) The text starts with introductory facts on real numbers, sequences and limits, followed by chapters aimed at differential and integral calculus. ... The text is accompanied by a lot of worked examples, figures and applications. Together with detailed proofs of theorems this makes the text suitable also for self-study. (Vladimir Janis, zbMATH, 2014)


From the book reviews: The book under review, a little over 500 pages co-authored with Maria Terrell, is a first-approximation to Lax's dream come true: a 'thorough revision' of the 1976 Lax-Burstein-Lax. ... This reviewer will attempt to use them as a pedagogical tool when teaching single-variable calculus or introductory analysis in the future. ... It is filled with beautiful ideas that are elegantly explained and chock-full with problems that will enchant both the experienced teacher and the curious novice. (Tushar Das, MAA Reviews, December, 2014) The text starts with introductory facts on real numbers, sequences and limits, followed by chapters aimed at differential and integral calculus. ... The text is accompanied by a lot of worked examples, figures and applications. Together with detailed proofs of theorems this makes the text suitable also for self-study. (Vladimir Janis, zbMATH, 2014)


From the book reviews: The book under review, a little over 500 pages co-authored with Maria Terrell, is a first-approximation to Lax's dream come true: a `thorough revision' of the 1976 Lax-Burstein-Lax. ... This reviewer will attempt to use them as a pedagogical tool when teaching single-variable calculus or introductory analysis in the future. ... It is filled with beautiful ideas that are elegantly explained and chock-full with problems that will enchant both the experienced teacher and the curious novice. (Tushar Das, MAA Reviews, December, 2014) The text starts with introductory facts on real numbers, sequences and limits, followed by chapters aimed at differential and integral calculus. ... The text is accompanied by a lot of worked examples, figures and applications. Together with detailed proofs of theorems this makes the text suitable also for self-study. (Vladimir Janis, zbMATH, 2014)


Author Information

Peter D. Lax is currently an Emeritus Professor of Mathematics at the Courant Institute of Mathematical Sciences.   Maria Shea Terrell is currently a Senior Lecturer of Mathematics and Director of Teaching Assistant Programs at Cornell University.

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