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Ordinary differential equations : an elementary textbook for students of mathematics, engineering, and the sciences

Title
Ordinary differential equations : an elementary textbook for students of mathematics, engineering, and the sciences / Morris Tenebaum, Harry Pollard.
Author
Tenenbaum, Morris.
Publication
New York : Dover Publications, 1985, ©1963.

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Details

Additional Authors
Pollard, Harry, 1919-1985.
Description
xvii, 808 pages; 22 cm
Summary
"Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more." -- Publisher.
Uniform Title
Knovel Library.
Subject
  • Differential equations
  • Equações diferenciais ordinárias
  • Équations différentielles
Note
  • Reprint. Originally published: New York : Harper & Row, 1963.
  • Includes index.
Bibliography (note)
  • Bibliography: p. 791.
Contents
1. Basic concepts -- 2. Special types of differential equations of the first order -- 3. Problems leading to differential equations of the first order -- 4. Linear differential equations of order greater than one -- 5. Operators and Laplace transforms -- 6. Problems leading to linear differential equations of order two -- 7. Systems of differential equations : linearization of first order systems -- 8. Problems giving rise to systems of equations : special types of second order linear and nonlinear equations solvable by reducing to systems -- 9. Series methods -- 10. Numerical methods -- 11. Existence and uniqueness theorem for the first order differential equation y'=f(x, y) : Picard's method, envelopes, Clairaut equation -- 12. Existence and uniqueness theorems for a system of first order differential equations and for linear and nonlinear differential equations of order greater than one : Wronskians.
ISBN
  • 0486649407
  • 9780486649405
LCCN
85012983
OCLC
  • ocm12188701
  • 12188701
  • SCSB-1607928
Owning Institutions
Princeton University Library