Calculus with applications

✍ Scribed by Peter D. Lax, Maria Shea Terrell (auth.)

• Publisher: Springer-Verlag New York
• Year: 2014
• Tongue: English
• Leaves: 509
• Series: Undergraduate Texts in Mathematics
• Edition: 2
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xii
Numbers and Limits....Pages 1-49
Functions and Continuity....Pages 51-116
The Derivative and Differentiation....Pages 117-169
The Theory of Differentiable Functions....Pages 171-216
Applications of the Derivative....Pages 217-244
Integration....Pages 245-289
Methods for Integration....Pages 291-332
Approximation of Integrals....Pages 333-345
Complex Numbers....Pages 347-373
Differential Equations....Pages 375-434
Probability....Pages 435-473
Back Matter....Pages 475-503

✦ Subjects

Analysis; Applications of Mathematics