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Mathematical Analysis: Linear and Metric Structures and Continuity

Mariano Giaquinta and Giuseppe Modica
Publisher: 
Birkhäuser
Publication Date: 
2007
Number of Pages: 
465
Format: 
Hardcover
Price: 
149.00
ISBN: 
978-0-8176-4374-4
Category: 
Textbook
We do not plan to review this book.

 Preface.- Part I: Linear Algebra.- Vectors, Matrices and Linear Systems.- Vector Spaces and Linear Maps.- Euclidean and Hermitian Spaces.- Self-Adjoint Operators.- Part II: Metrics and Topology.- Metric Spaces and Continuous Functions.- Compactness and Connectedness.- Curves.- Some Topics from the Topology of Rn.- Part III.- Continuity in Infinite-Dimensional Spaces.- Spaces of Continuous functions, Banach Spaces and Abstract Equations.- Hilbert Spaces, Dirichlet’s Principle and Linear compact Operators.- Some Applications.- A. Mathematicians and Other Scientists.- B. Bibliographical Notes.- C. Index.