Synopsis
This book deals with topics usually studied in a masters or graduate level course on the theory of measure and integration. It starts with the Riemann integral and points out some of its shortcomings which motivate the theory of measure and the Lebesgue integral.
Starting with abstract measures and outermeasures, the Lebesgue measure is constructed and its important properties are highlighted. Measurable functions, different notions of convergence, the Lebesgue integral, the fundamental theorem of calculus, product spaces, and signed measures are studied. There is a separate chapter on the change of variable formula and one on Lp- spaces. Most of the material in this book can be covered in a one semester course. The prerequisite for following this book is familiarity with basic real analysis and elementary topological notions, with special emphasis on the topology of the N- dimensional euclidean space. Each chapter is provided with a variety of exercises.
"synopsis" may belong to another edition of this title.
Search results for Measure and Integration (Texts and Readings in Mathematics)
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Measure and Integration
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Hindustan Book Agency (India), 2019
ISBN 10: 9386279770
ISBN 13: 9789386279774
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Seller: Majestic Books, Hounslow, United Kingdom
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Measure and Integration
Published by
Hindustan Book Agency (India) HBA, 2019
ISBN 10: 9386279770
ISBN 13: 9789386279774
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Seller: Books Puddle, New York, NY, U.S.A.
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Measure and Integration (Texts and Readings in Mathematics)
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hardcover. Condition: Good. Minor wear on edges and corners. Clean pages with no markings. Ships same day in most cases!The image in this listing is stock photo for reference. Actual item may differ. Any queries, just ask for photos. Your satisfaction matters!Textbooks may not include supplemental items i.e. CDs, access codes etc. Seller Inventory # T4-12-01-26-005
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Measure and Integration
Published by
Hindustan Book Agency, 2019
ISBN 10: 9386279770
ISBN 13: 9789386279774
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First Edition
Seller: Vedams eBooks (P) Ltd, New Delhi, India
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Soft cover. Condition: New. 1st Edition. Contents: Preamble. 1. Measure. 2. The Lebesgue measure. 3. Measurable functions. 4. Convergence. 5. Integration. 6. Differentiation. 7. Change of variable. 8. Product spaces. 9. Signed measures. 10. Lp spaces. Bibliography. Index. This book deals with topics usually studied in a masters or graduate level course on the theory of measure and integration. It starts with the Riemann integral and points out some of its shortcomings which motivate the theory of measure and the Lebesgue integral. Starting with abstract measures and outer-measures, the Lebesgue mea- sure is constructed and its important properties are highlighted. Measurable functions, different notions of convergence, the Lebesgue integral, the funda-mental theorem of calculus, product spaces and signed measures are studied. There is a separate chapter on the change of variable formula and one on Lp-spaces. Most of the material in this book can be covered in a one semester course. The pre-requisite for following this book is familiarity with basic real analysis and elementary topological notions, with special emphasis on the topology of the N- dimensional euclidean space. Seller Inventory # 128590
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Measure and Integration
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Measure and Integration
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MEASURE AND INTEGRATION
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Measure and Integration
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Measure and Integration
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Measure and Integration
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