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Measure and Integration
 
A publication of Hindustan Book Agency
Measure and Integration
Hardcover ISBN:  978-93-86279-77-4
Product Code:  HIN/77
List Price: $45.00
AMS Member Price: $36.00
Please note AMS points can not be used for this product
Measure and Integration
Click above image for expanded view
Measure and Integration
A publication of Hindustan Book Agency
Hardcover ISBN:  978-93-86279-77-4
Product Code:  HIN/77
List Price: $45.00
AMS Member Price: $36.00
Please note AMS points can not be used for this product
  • Book Details
     
     
    Hindustan Book Agency
    Volume: 772019; 252 pp
    MSC: 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.

    Readership

    Graduate students interested in the theory of measure and integration.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 772019; 252 pp
MSC: 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.

Readership

Graduate students interested in the theory of measure and integration.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.