Mathematical Analysis: Linear and Metric Structures and Continuity - Couverture rigide

Giaquinta, Mariano; Modica, Giuseppe

 
9780817643744: Mathematical Analysis: Linear and Metric Structures and Continuity

Synopsis

This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. It motivates the study of linear and metric structures with examples, observations, exercises, and numerous beautiful illustrations. It also includes applications to geometry and differential equations, historical notes and a comprehensive index. The book may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. This book builds upon the discussion in the authors' previously published books to provide the reader with a strong foundation in modern-day analysis.

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Présentation de l'éditeur

Examines linear structures, the topology of metric spaces, and continuity in infinite dimensions, with detailed coverage at the graduate level Includes applications to geometry and differential equations, numerous beautiful illustrations, examples, exercises, historical notes, and comprehensive index May be used in graduate seminars and courses or as a reference text by mathematicians, physicists, and engineers

Présentation de l'éditeur

This superb and self-contained work is an introductory presentation of basic ideas, structures, and results of differential and integral calculus for functions of several variables. The wide range of topics covered include the differential calculus of several variables, including that of Banach spaces.

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