Franklin

Calculus With Applications / by Peter D. Lax, Maria Shea Terrell.

Author/Creator:
Lax, Peter D. author., Author,
Publication:
New York, NY : Springer New York : Imprint: Springer, 2014.
Format/Description:
Book
1 online resource (XII, 503 pages 220 illustrations)
Edition:
2nd ed. 2014.
Series:
Undergraduate texts in mathematics 0172-6056
Undergraduate Texts in Mathematics, 0172-6056
Contained In:
Springer Nature eBook
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Subjects:
Calculus.
Local subjects:
Calculus. (search)
System Details:
text file PDF
Summary:
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.
Contents:
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 Problems
Index.
Contributor:
Terrell, Maria Shea, author., Author,
SpringerLink (Online service)
Other format:
Printed edition:
Printed edition:
Printed edition:
ISBN:
978-1-4614-7946-8
Publisher Number:
10.1007/978-1-4614-7946-8 doi
Access Restriction:
Restricted for use by site license.