
Hardcover ISBN: | 978-93-86279-77-4 |
Product Code: | HIN/77 |
List Price: | $45.00 |
AMS Member Price: | $36.00 |

Hardcover ISBN: | 978-93-86279-77-4 |
Product Code: | HIN/77 |
List Price: | $45.00 |
AMS Member Price: | $36.00 |
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Book DetailsHindustan Book AgencyVolume: 77; 2019; 252 ppMSC: Primary 28
This book deals with topics usually studied in a master's 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 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.
A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.
ReadershipGraduate students interested in the theory of measure and integration.
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This book deals with topics usually studied in a master's 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 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.
A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.
Graduate students interested in the theory of measure and integration.