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Calculus With Applications

  • Peter D. Lax
  • Maria Shea Terrell

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Peter D. Lax, Maria Shea Terrell
    Pages 1-49
  3. Peter D. Lax, Maria Shea Terrell
    Pages 51-116
  4. Peter D. Lax, Maria Shea Terrell
    Pages 117-169
  5. Peter D. Lax, Maria Shea Terrell
    Pages 171-216
  6. Peter D. Lax, Maria Shea Terrell
    Pages 217-244
  7. Peter D. Lax, Maria Shea Terrell
    Pages 245-289
  8. Peter D. Lax, Maria Shea Terrell
    Pages 291-332
  9. Peter D. Lax, Maria Shea Terrell
    Pages 333-345
  10. Peter D. Lax, Maria Shea Terrell
    Pages 347-373
  11. Peter D. Lax, Maria Shea Terrell
    Pages 375-434
  12. Peter D. Lax, Maria Shea Terrell
    Pages 435-473
  13. Back Matter
    Pages 475-503

About this book

Introduction

This new edition of Lax, 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.

Keywords

approximation of integrals complex valued functions convergence of Newton’s method differentiability discrete probability least upper bound theorem

Authors and affiliations

  • Peter D. Lax
    • 1
  • Maria Shea Terrell
    • 2
  1. 1.Courant Institute of Math. SciencesNew York University Department of MathematicsNew YorkUSA
  2. 2.Department of MathematicsCornell UniversityIthacaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-7946-8
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-7945-1
  • Online ISBN 978-1-4614-7946-8
  • Series Print ISSN 0172-6056
  • Series Online ISSN 2197-5604
  • Buy this book on publisher's site