Differential Equations, Dynamical Systems, and Linear Algebra MORRIS W.HIRSCH & STEPHEN SMALE.pdf

文档介绍：Differential Equations,
Dynamical Systems,
and Linear Algebra
Differential Equations,
Dynamical Systems,
and Linear Algebra
---------MORRIS W. HIRSCH AND STEPHEN SMALE
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This b d. volume in
PURE AND APPLIED MATHEMATICS ACADEMIC PRESS. INC.
Harcourt Brace Jovanovich, Publishers
A Series of Monographs and Textbooks San Diego New York Boston
London Sydney Tokyo Toronto
Editors: SAMUEL ElLENBERG AND HYMAN BASS
plete lis' of titles in this series is available from the Publishers upon request.
Contents
Preface is
CHAPTER I FIRST EXAMPLES
COPYaIOHTC 191....v ACADEMIC Pua, INC.
ALL RIGHTS RESEaYED. 1. The Simplelt Examples I
NO PART OF THIS PUBLICATtoJrri MAY IB OR 2. Linear Systems with Constant Coefficients
TaANSMllTEO IN ANY FoaM oa BY ANY MEANS, .ONIC e
OR MECHANICAL. INCLUDING PHOTOCOPY. . oa. ANY Notee 13
INFORMATION STORAGE AND RETRIEVAL SYSTEM. WITHOUT
PERMISSION IN WRITING FaOM THE PUBLISHEJl.
CHAPTER 2 NEWTON'S EQUATION AND KEPLER'S LAW
1. Harmonic Oscillators 15
2. Some Calculus Background Ie
ACADEMIC PRESS, INC. 3. Conservative Force Fields 17
San Diego. California 92101 4. Central Force Fields Ie
5. Statel!l 22
6. Elliptical ary Orbits 23
No.... '¥1
United KIn~d(/m Edi"o" puhlish~d hy
ACADEMIC PRESS LIMITED
24-28 Oval Road. London NWI 7DX CHAPTER '3 LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS
AND REAL EIGENVALUES
Library or in PubUcadon Data 1. Basic Linear Algebra 29
2. Real Eigenvalues 4'
Hinch, Morris, Date 3. Differential Equations with Real, Distinct Eigenvalues 47
Differential equations, dynamical systems, and 4. Complex Eigenvalues 65
linear algebra.
CHAPTER 4 LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS
(Pure and applied mathematics; I series or monOll'lphs PLEX EIGENVALUES
and textbooks, Y. )
1. rnrrerenlial equations. 2. AItebras. Lineu. 1. Complex Vector Spaces 112
I. Smale. Stephen. Date joint author. II. Title. 2. Real Opera