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Advanced Mathematical Methods : London School of Economics Mathematics Series - Adam Ostaszewski

Advanced Mathematical Methods

London School of Economics Mathematics Series

Paperback

Published: 15th April 1991
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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 proportion of these are provided.

"A wonderful reference book." The American Mathematical Monthly

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
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521289641
ISBN-10: 0521289645
Series: London School of Economics Mathematics Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 560
Published: 15th April 1991
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 3.18
Weight (kg): 0.77