Overview
- New edition extensively revised and updated, including many new problems
- Features early treatment of sequences and series relates calculus to calculation and approximation
- Offers explanations of all the important theorems to help students understand their meaning
- Includes supplementary material: sn.pub/extras
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
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.” (Vladimír Janiš, zbMATH, 2014)Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Calculus With Applications
Authors: Peter D. Lax, Maria Shea Terrell
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-7946-8
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2014
Hardcover ISBN: 978-1-4614-7945-1Published: 21 September 2013
Softcover ISBN: 978-1-4939-3688-5Published: 21 September 2013
eBook ISBN: 978-1-4614-7946-8Published: 21 September 2013
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 2
Number of Pages: XII, 503
Number of Illustrations: 220 b/w illustrations
Topics: Calculus