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Applied Functional Analysis by Balakrishnan, A. V. is a book available to read on EtoBox.

What is Applied Functional Analysis about?

This book explores the background of a major intellectual revolution: the rigorous reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his contemporaries in the first part of the 19th century. Their generation changed the calculus from a method of solving problems to a collection of theorems, based on precise definitions, about limits, continuity, series, derivatives, and integrals. The book shows how Cauchy reshaped inherited 18th-century concepts to create an approach to rigor that we still accept today. In so doing, The Origins of Cauchy's Rigorous Calculus provides fresh insights and a new perspective on the foundations of analysis.

Author
Balakrishnan, A. V.
Publisher
New York: Springer-Verlag
Published
1976
Language
EN
ISBN
9783540901570
Subjects
Mathematics, Stem

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