Undergraduate Texts in Mathematics

Calculus With Applications

Authors: Lax, Peter D., Terrell, Maria Shea

  • 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
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eBook $44.99
price for USA (gross)
  • ISBN 978-1-4614-7946-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-1-4614-7945-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4939-3688-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this Textbook

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.

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.

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)

Table of contents (11 chapters)

  • Numbers and Limits

    Lax, Peter D. (et al.)

    Pages 1-49

  • Functions and Continuity

    Lax, Peter D. (et al.)

    Pages 51-116

  • The Derivative and Differentiation

    Lax, Peter D. (et al.)

    Pages 117-169

  • The Theory of Differentiable Functions

    Lax, Peter D. (et al.)

    Pages 171-216

  • Applications of the Derivative

    Lax, Peter D. (et al.)

    Pages 217-244

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-1-4614-7946-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $59.99
price for USA
  • ISBN 978-1-4614-7945-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $59.99
price for USA
  • ISBN 978-1-4939-3688-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Calculus With Applications
Authors
Series Title
Undergraduate Texts in Mathematics
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-1-4614-7946-8
DOI
10.1007/978-1-4614-7946-8
Hardcover ISBN
978-1-4614-7945-1
Softcover ISBN
978-1-4939-3688-5
Series ISSN
0172-6056
Edition Number
2
Number of Pages
XII, 503
Number of Illustrations and Tables
220 b/w illustrations
Topics