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Advanced Calculus
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CC BY-NC-SA
Advanced Calculus
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Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

Subject:
Calculus
Mathematics
Material Type:
Textbook
Provider:
Harvard University
Provider Set:
Individual Authors
Author:
Sternberg Shlomo and Lynn Loomis
Date Added:
02/16/2011
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Dynamical Systems
Conditional Remix & Share Permitted
CC BY-NC-SA
Dynamical Systems
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This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics. 151 page pdf file.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Harvard University
Provider Set:
Harvard University Mathematics Department
Author:
Shlomo Sternberg
Date Added:
02/16/2011
MoreLess