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Advanced Mathematical Methods

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ISBN-10: 0521289645

ISBN-13: 9780521289641

Edition: 1990

Authors: Adam Ostaszewski

List price: $89.99
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Description:

Written in an appealing and informal style, this text is a self-contained second course on mathematical methods in linear algebra and multivariate calculus. The prerequisites are elementary courses in linear algebra and calculus, but the author has maintained a balance between a rigorous theoretical and a "cookbook" approach, so that the material will be accessible to students who have not studied mathematics in depth. Indeed, as much of the material is normally available only in technical textbooks, this book will have wide appeal to students whose interests are in application rather than theory. The book is amply supplied with examples and exercises: complete solutions to a large…    
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Book details

List price: $89.99
Copyright year: 1990
Publisher: Cambridge University Press
Publication date: 1/25/1991
Binding: Paperback
Pages: 560
Size: 6.00" wide x 9.00" long x 1.25" tall
Weight: 1.694
Language: English

Preface
Linear Algebra
Vector spaces (revision)
Geometry in R
Matrices
Projections
Spectral theory
The upper triangular form
The tri-diagonal form
Inverses
Convexity
The separating hyperplane theorem
Linear inequalities
Linear programming and game theory
The simplex method
Partial derivatives (revision)
Convex functions
Non-linear programming
Advanced Calculus
The integration process
Manipulation of integrals
Multiple integrals
Differential and difference equations (revision)
Laplace transforms
Series solutions of differential equations
Calculus of variations
Solutions to Selected Exercises
Index