Problems In Real And Functional Analysis
Alberto Torchinsky
ISBN 10: 9393330239 ISBN 13: 9789393330239
Verlag: Universities Press
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Titel: Problems In Real And Functional Analysis
Verlag: Universities Press
Einband: N.A.
Zustand: New
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Problems In Real And Functional Analysis
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N.A. Zustand: New. ISBN:9789393330239 N.A. Bestandsnummer des Verkäufers 2459054
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Soft cover. Zustand: New. Contents: Preface. Part 1. Problems. 1. Set Theory and Metric Spaces. 2. Measures. 3. Lebesgue Measure. 4. Measurable and Integrable Functions. 5. Lp Spaces. 6. Sequences of Functions. 7. Product Measures. 8. Normed Linear Spaces. Functionals. 9. Normed Linear Spaces. Linear Operators. 10. Hilbert Spaces. Part 2. Solutions. 11. Set Theory and Metric Spaces. 12. Measures. 13. Lebesgue Measure. 14. Measurable and Integrable Functions. 15. Lp Spaces. 16. Sequences of Functions. 17. Product Measures. 18. Normed Linear Spaces. Functionals. 19. Normed Linear Spaces. Linear Operators. 20. Hilbert Spaces. Index. It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand the definitions, comb through the theorems and proofs, and think at length about the mathematics. The purpose of this book is to complement the existing literature in introductory real and functional analysis at the graduate level with a variety of conceptual problems (1,457 in total), ranging from easily accessible to thought provoking, mixing the practical and the theoretical aspects of the subject. Problems are grouped into ten chapters covering the main topics usually taught in courses on real and functional analysis. Each of these chapters opens with a brief reader's guide stating the needed definitions and basic results in the area and closes with a short description of the problems. The Problem chapters are accompanied by Solution chapters, which include solutions to two-thirds of the problems. Students can expect the solutions to be written in a direct language that they can understand; usually the most 'natural' rather than the most elegant solution is presented. Bestandsnummer des Verkäufers 137978A
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