Linear Algebra

Front Cover
Courier Corporation, 1988 - Mathematics - 304 pages
Superb innovative introductory text covers sets and mappings, vector spaces, determinants, matrices, linear functionals, forms of the second degree, other basics; also linear programming, Tchebychev approximations, game theory, more.Problems and exercises. Detailed proofs. Ideal text for undergraduates; reference for theoretical and applied mathematicians. Bibliography.
 

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Contents

SETS AND MAPPINGs
1
WECTOR SPACEs
9
EIGENVALUES AND EIGENVECTORs of ENDoMoRPHISMs of
13
Subspaces of a Vector Space
21
DETERMINANTs
69
LINEAR MAPPINGs of VECTOR SPACEs MATRICEs
82
SYSTEMs of LINEAR EQUATIONS AND INEQUALITIES
131
LINEAR PROGRAMMING
149
ToHEBYCHEv APPRoxIMATIONs
184
GAME THEORY
195
FoRMs of THE SEcond DEGREE
207
EUCLIDEAN AND UNITARY VECTOR SPACEs
220
INVARIANT SUBSPACEs CANoNICAL FoRMs of MATRICEs
280
Bibliography
300
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Page 301 - Ralston, A., A First Course in Numerical Analysis, McGraw-Hill Book Co., Inc., New York, NY, 1965. 20. Rubinstein, MF, Structural System — Statics, Dynamics and Stability, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1970. 21. Stevens, LK, "Control of Stability by Limitation of Deformations," Proceedings of the Institution of Civil Engineers, London, England, Vol.

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