Calculus With Applications (eBook)

Peter D Lax, Maria Shea Terrell (Autoren)

eBook Download: PDF

2013 | 2nd ed. 2014
XII, 503 Seiten
Springer New York (Verlag)
9781461479468 (ISBN)

Infos

This book clearly explains the important theorems of single variable calculus. It includes an elementary introduction to complex numbers and complex-valued functions, key applications of calculus, and an introduction to probability and information theory.

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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.

Autor

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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 21.9.2013
• Reihe/Serie: Undergraduate Texts in Mathematics
• Verlagsort: New York
• Sprache: englisch
• Original-Titel: Calculus with Applications and Computing
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: approximation of integrals • complex valued functions • convergence of Newton’s method • Differentiability • Discrete Probability • least upper bound theorem
• ISBN-13: 9781461479468 / 9781461479468