Calculus with applications / Peter D. Lax, Maria Shea Terrell

By: Lax, Peter D [author.]Contributor(s): Terrell, Maria Shea [author.] | Ohio Library and Information NetworkMaterial type: TextTextSeries: Undergraduate texts in mathematicsPublisher: New York : Springer, [2013?]Copyright date: ©2014Edition: Second edition; Second editionDescription: 1 online resource (xii, 503 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 1461479460 (electronic bk.); 9781461479468 (electronic bk.)Subject(s): Calculus | Mathematics | Analysis | Applications of MathematicsGenre/Form: Electronic books. DDC classification: 515 LOC classification: QA303.2Online resources: SpringerLink Connect to resource | SpringerLink Connect to resource | SpringerLink Connect to resource (off-campus)
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
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
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Includes index

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

Available to OhioLINK libraries

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

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