Advanced Mathematical Methods

Front Cover
Cambridge University Press, 1990 - Mathematics - 545 pages
2 Reviews
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.
 

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User Review  - amarcobio - LibraryThing

It is more like a compilation of methods rather than an accurate description of them. The Calculus part is particularly good, with tons of exercises to practice. I miss some detail on Fourier ... Read full review

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very good

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Contents

Linear algebra
1
Geometry in Rⁿ
15
Matrices
30
Projections
48
Spectral theory
59
Reduction to upper triangular form
80
Reduction to tridiagonal form
92
Inverses
101
Nonlinear programming
195
Advanced calculus
207
Manipulation of integrals
257
Multiple integrals
300
Differential and difference equations revision
347
Laplace transforms
380
Series solution of linear ordinary differential equations
406
Calculus of variations
423

Convexity
113
The separating hyperplane theorem
122
Linear inequalities
135
Linear programming and game theory
143
The simplex method
162
Partial derivatives revision
178
Convex functions
184
Solutions to selected exercises
443
Miscellany
522
Appendix A
529
Appendix B
533
Index
541
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