By Earl A. Coddington
This concise textual content deals undergraduates in arithmetic and technological know-how an intensive and systematic first direction in easy differential equations. Presuming a data of uncomplicated calculus, the e-book first experiences the mathematical necessities required to grasp the fabrics to be offered.
The subsequent 4 chapters take in linear equations, these of the 1st order and people with consistent coefficients, variable coefficients, and standard singular issues. The final chapters handle the lifestyles and area of expertise of options to either first order equations and to structures and n-th order equations.
Throughout the booklet, the writer contains the speculation a long way adequate to incorporate the statements and proofs of the better lifestyles and distinctiveness theorems. Dr. Coddington, who has taught at MIT, Princeton, and UCLA, has incorporated many routines designed to increase the student's approach in fixing equations. He has additionally incorporated difficulties (with solutions) chosen to sharpen figuring out of the mathematical constitution of the topic, and to introduce various suitable themes no longer coated within the textual content, e.g. balance, equations with periodic coefficients, and boundary price difficulties.
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Extra resources for An Introduction to Ordinary Differential Equations (Dover Books on Mathematics)
An Introduction to Ordinary Differential Equations (Dover Books on Mathematics) by Earl A. Coddington