文档介绍：Diflerential Equations,
Dynamical Systems,
and Linear Algebra
Differential Equations,
Dynamical Systems,
and Linear Algebra
MORRIS W. RIRSCH AND STEPHEN SMALE
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This I. d volume in
PURE AND APPLIED MATHEMATICS ACADEMIC PRESS. INC.
Harcoun BmJovamvkh, Publishem
A Serlcs of Monographs and Textbooks San Diego New Yark Boston
London Sydney Tokyo Toronto
Editors: SAMUELE~LENBERG AND HYMAN BASS
A con~~leleIt\! of tixles in this series is available from the Publishen upon requesl.
Contents
CHAPTER 1 FIRST EXAMPLES
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OI MECHANICAL. WCLUDWO ~HOTOCDIY. ~ECOU)LIIO, a Am
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PEIMISSION IN WRITING nou rue PUILUH~.
CHAPTER 2 NEWIQN'S EQUATION AND KEPLER'S LAW
1. H~monichillntors
2. %me CaImlus Brbund
AC4DLhlIC PRESS. INC. 3. Conservative Force Fields
Sm Dlegu. Crl~tom~a92101 4. Centnl Fom Fields
5.
6. Elliptied uy Wik
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Linirrd Ktnydont Edirion puhlirhrd hy
ACADEMIC PRESS LIMITED
CHAPTER '3 LINEAR SYSTEMS WITH CONSTANT COEFFICIENTS
24-28 Oval Road. Lmdon NWI 7DX
AND REAL EIGENVALUES
I. Basic Linear Alebra
2. Real Ebnvalues
3. UiKemntial Equstions rith Red, Uiatinct vduca
4. Compkr Eenvduea
CHAPTER 4 LINEAR SYSTEMS VIMCONSTANT COEFFICIENTS
(Pure and applied : I wries d ~l~noawhs PLEX EICENVALUES
an4 tsrtbootr. r. )
1. Differentid a(. 2. Alprbru. Line-. Complex Vector Spaas
I. Smde.. Dak joint suchor. 11. Title. Real Operatom plex Eigenvducs
Ill. Serier. Application plex Linear Abbnto Eqlutiona
lQA3721 S10'.8r [SLS'.35I 73-18951
ISBN 0-12-349550-4 CHAPTER 5 LINEAR SYSTEMS AND EXPONENTIALS OFOPEEATORS
AMS (MOS) 1970 Subject : -01 1. Revier of Toplwin R'
2. New Norms for Old
3. Expnentida of Oprslors
4. Homogeneous Lineer Systems
5. A Nonhomogeneous Equation
6. Higher Older Systems