Differential equations with applications and historical notes / George F. Simmons.

Author
Simmons, George F. (George Finlay), 1925- [Browse]
Format
Book
Language
English
Εdition
Third edition.
Published/​Created
  • Boca Raton : CRC Press, [2017]
  • ©2017
Description
xxi, 740 pages : illustrations ; 25 cm.

Availability

Copies in the Library

Location Call Number Status Location Service Notes
Lewis Library - Stacks QA372 .S49 2017 Browse related items Request

    Details

    Subject(s)
    Series
    Summary note
    "Introduces the nature and significance of differential equations as a tool for studying change in the physical world, progressing from first- and second-order linear equations to Fourier series, boundary value problems, Laplace transforms, nonlinear equations, and the calculus of variations. Each chapter culminates with a classic scientific problem such as the brachistochrone problem, the Einstein formula, Newton's law of gravitation, the wave equation of the vibrating string, and Hamilton's principle."-- Provided by publisher.
    Bibliographic references
    Includes bibliographical references and index.
    Contents
    • The nature of differential equations. Separable equations
    • First order equations
    • Second order linear equations
    • Qualitative properties of solutions
    • Power series solutions and special functions
    • Fourier series and orthogonal functions
    • Partial differential equations and boundary value problems
    • Some special functions of mathematical physics
    • Laplace transforms
    • Systems of first order equations
    • Nonlinear equations
    • The calculus of variations
    • The existence and uniqueness of solutions
    • Numerical methods.
    ISBN
    • 9781498702591 (hardcover)
    • 1498702597 (hardcover)
    OCLC
    961248509
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