Items related to Functional Analysis, Sobolev Spaces, and Calculus of...
- PublisherSpringer
- Publication date2024
- ISBN 10 3031492455
- ISBN 13 9783031492457
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages401
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Functional Analysis, Sobolev Spaces, and Calculus of Variations
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Functional Analysis Sobolev Spaces and Calculus of Variations
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Functional Analysis Sobolev Spaces and Calculus of Variations
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Functional Analysis, Sobolev Spaces, and Calculus of Variations (UNITEXT, 157)
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Functional Analysis, Sobolev Spaces, and Calculus of Variations (UNITEXT, 157)
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Functional Analysis, Sobolev Spaces, and Calculus of Variations (UNITEXT, 157)
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Functional Analysis, Sobolev Spaces, and Calculus of Variations
Published by
Springer, Berlin, Springer Nature Switzerland, Springer, 2024
ISBN 10: 3031492455
ISBN 13: 9783031492457
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book aims at introducing students into the modern analytical foundations to treat problems and situations in the Calculus of Variations solidly and rigorously. Since no background is taken for granted or assumed, as the textbook pretends to be self-contained, areas like basic Functional Analysis and Sobolev spaces are studied to the point that chapters devoted to these topics can be utilized by themselves as an introduction to these important parts of Analysis. The material in this regard has been selected to serve the needs of classical variational problems, leaving broader treatments for more advanced and specialized courses in those areas. It should not be forgotten that problems in the Calculus of Variations historically played a crucial role in pushing Functional Analysis as a discipline on its own right. The style is intentionally didactic. After a first general chapter to place optimization problems in infinite-dimensional spaces in perspective, the first part of the book focuses on the initial important concepts in Functional Analysis and introduces Sobolev spaces in dimension one as a preliminary, simpler case (much in the same way as in the successful book of H. Brezis). Once the analytical framework is covered, one-dimensional variational problems are examined in detail including numerous examples and exercises. The second part dwells, again as a first-round, on another important chapter of Functional Analysis that students should be exposed to, and that eventually will find some applications in subsequent chapters. The first chapter of this part examines continuous operators and the important principles associated with mappings between functional spaces; and another one focuses on compact operators and their fundamental and remarkable properties for Analysis. Finally, the third part advances to multi-dimensional Sobolev spaces and the corresponding problems in the Calculus of Variations.In this setting, problems become much more involved and,forthis same reason, much more interesting and appealing. In particular, the final chapter dives into a number of advanced topics, some of which reflect a personal taste. Other possibilities stressing other kinds of problems are possible. In summary, the text pretends to help students with their first exposure to the moderncalculus of variationsand the analytical foundation associated with it.Inparticular, it covers an extended introduction to basicfunctional analysisand to Sobolev spaces. The tone of the text and the set of proposed exercises will facilitate progressive understanding until the needforfurther challenges beyond the topicsaddressedhere will push students to more advanced horizons. 387 pp. Englisch. Seller Inventory # 9783031492457
Quantity: 2 available
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Functional Analysis, Sobolev Spaces, and Calculus of Variations
Published by
Springer Nature Switzerland, 2024
ISBN 10: 3031492455
ISBN 13: 9783031492457
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book aims at introducing students into the modern analytical foundations to treat problems and situations in the Calculus of Variations solidly and rigorously. Since no background is taken for granted or assumed, as the textbook pretends to be self-contained, areas like basic Functional Analysis and Sobolev spaces are studied to the point that chapters devoted to these topics can be utilized by themselves as an introduction to these important parts of Analysis. The material in this regard has been selected to serve the needs of classical variational problems, leaving broader treatments for more advanced and specialized courses in those areas. It should not be forgotten that problems in the Calculus of Variations historically played a crucial role in pushing Functional Analysis as a discipline on its own right. The style is intentionally didactic. After a first general chapter to place optimization problems in infinite-dimensional spaces in perspective, the first part of the book focuses on the initial important concepts in Functional Analysis and introduces Sobolev spaces in dimension one as a preliminary, simpler case (much in the same way as in the successful book of H. Brezis). Once the analytical framework is covered, one-dimensional variational problems are examined in detail including numerous examples and exercises. The second part dwells, again as a first-round, on another important chapter of Functional Analysis that students should be exposed to, and that eventually will find some applications in subsequent chapters. The first chapter of this part examines continuous operators and the important principles associated with mappings between functional spaces; and another one focuses on compact operators and their fundamental and remarkable properties for Analysis. Finally, the third part advances to multi-dimensional Sobolev spaces and the corresponding problems in the Calculus of Variations.In this setting, problems become much more involved and,forthis same reason, much more interesting and appealing. In particular, the final chapter dives into a number of advanced topics, some of which reflect a personal taste. Other possibilities stressing other kinds of problems are possible. In summary, the text pretends to help students with their first exposure to the moderncalculus of variationsand the analytical foundation associated with it.Inparticular, it covers an extended introduction to basicfunctional analysisand to Sobolev spaces. The tone of the text and the set of proposed exercises will facilitate progressive understanding until the needforfurther challenges beyond the topicsaddressedhere will push students to more advanced horizons. Seller Inventory # 9783031492457
Quantity: 1 available
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Functional Analysis, Sobolev Spaces, and Calculus of Variations
Published by
Springer Nature Switzerland, 2024
ISBN 10: 3031492455
ISBN 13: 9783031492457
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Softcover
Seller: moluna, Greven, Germany
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Covers, in a single source, the full road to treat standard variational problems in solid analytical foundationThe style facilitates progressive understanding, while the set of solved exercises helps in maturing conceptsReference text for a. Seller Inventory # 1199164705
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