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Applied mathematics / J. David Logan.

By: Material type: TextTextPublisher: Hoboken, N.J. : Wiley-Interscience, [2006]Copyright date: ©2006Edition: Third editionDescription: xiv, 529 pages : illustrations ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0471746622
  • 9780471746621
Subject(s): DDC classification:
  • 510 22
LOC classification:
  • QA37.3 .L64 2006
Contents:
1. Dimensional analysis, scaling, and differential equations -- 2. Perturbation methods -- 3. Calculus of variations -- 4. Eigenvalue problems, integral equations, and Green's functions -- 5. Discrete models -- 6. Partial differential equations -- 7. Wave phenomena -- 8. Mathematical models of continua.
Review: "The Third Edition of this critically acclaimed text is thoroughly updated and revised with new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. Readers are introduced to key ideas in mathematical methods and modeling, with an emphasis on the connections between mathematics and the applied and natural sciences. The book covers the gamut of both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green's functions and integral equations; nonlinear wave propagation; and stability and bifurcation." "Moreover, the text has been restructured to facilitate its use as a textbook. The first section covers models leading to ordinary differential equations and integral equations, and the second section focuses on partial differential equations and their applications. Exercises vary from routine calculations that reinforce basic techniques to challenging problems that stimulate advanced problem solving." "With its new exercises and structure, this book is highly recommended for upper-undergraduate and beginning graduate students in mathematics, engineering, and natural sciences. Scientists and engineers will find the book to be an excellent choice for reference and self-study."--BOOK JACKET.
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Includes bibliographical references and index.

1. Dimensional analysis, scaling, and differential equations -- 2. Perturbation methods -- 3. Calculus of variations -- 4. Eigenvalue problems, integral equations, and Green's functions -- 5. Discrete models -- 6. Partial differential equations -- 7. Wave phenomena -- 8. Mathematical models of continua.

"The Third Edition of this critically acclaimed text is thoroughly updated and revised with new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. Readers are introduced to key ideas in mathematical methods and modeling, with an emphasis on the connections between mathematics and the applied and natural sciences. The book covers the gamut of both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green's functions and integral equations; nonlinear wave propagation; and stability and bifurcation." "Moreover, the text has been restructured to facilitate its use as a textbook. The first section covers models leading to ordinary differential equations and integral equations, and the second section focuses on partial differential equations and their applications. Exercises vary from routine calculations that reinforce basic techniques to challenging problems that stimulate advanced problem solving." "With its new exercises and structure, this book is highly recommended for upper-undergraduate and beginning graduate students in mathematics, engineering, and natural sciences. Scientists and engineers will find the book to be an excellent choice for reference and self-study."--BOOK JACKET.

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