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In this second edition, the notions of compactness and sequentially compactness are developed with independent proofs for the main results. Thereby the material on compactness is apt for direct applications also in functional analysis, where the notion of sequentially compactness prevails. This edition also covers a new section on partial derivatives, and new material has been incorporated to make a more complete account of higher order derivatives in Banach spaces, including full proofs for symmetry of higher order derivatives and Taylor's formula. The exercise material has been reorganized from a collection of problem sets at the end of the book to a section at the end of each chapter with further results. Readers will find numerous new exercises at different levels of difficulty for practice.
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Showing 3 featured editions. View all 3 editions?
Edition | Availability |
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1
Fundamental Concepts In Modern Analysis: An Introduction To Nonlinear Analysis: An Introduction To Nonlinear Analysis
28 November, 2019, World Scientific Publishing Co Pvt Ltd
Hardcover
in English
- Second Ed.
9811209405 9789811209406
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2
Fundamental Concepts in Modern Analysis
1999, World Scientific Publishing Co Pte Ltd
in English
1299614078 9781299614079
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3
Fundamental Concepts in Modern Analysis
1999, World Scientific Publishing Co Pte Ltd
in English
9812817980 9789812817983
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- Created August 17, 2023
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August 17, 2023 | Created by ImportBot | Imported from Better World Books record |