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Differential equations with applications and historical notes /

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"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. E...

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Bibliographic Details
Main Author: Simmons, George F. (George Finlay), 1925- (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : CRC Press, [2017]
Edition:Third edition.
Series:Textbooks in mathematics (Boca Raton, Fla.)
Subjects:
Differential equations.
Équations différentielles.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of 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.