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1

## Concise Introduction To The Theory Of Integration, A (Series in Pure Mathematics) (1990) (?)

### ISBN: 9789810201456 (?) or 9810201451, in english, 158 pages, Wspc, Paperback, Used

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From Seller/Antiquarian, Oregon Trail Book Company

The choice of topics included in this book, as well as the presentation of those topics, has been guided by the author's experience in teaching this material to classes consisting of advanced graduate students who are not concentrating in mathematics. This book contains an introduction to the modern theory of integration with a strong emphasis on the case of Lebesgue's measure for (Rn and eye toward applications to real analysis and probability theory. Following a brief review of the classical Riemann theory in Chapter I, the details of Lebesgue's construction are given in Chapter Ii, which also contains a derivation of the transformation properties of Lebesgue's measure under linear maps. Chapter Iii is devoted to Lebesgue's theory of integration of real-valued functions on a general measure space. Besides the basic convergence theorems, this chapter introduces product measures and Fubini's Theorem. In Chapter Iv, various topics having to do with the transformation properties of measures are derived. These include: the representation of general integrals in terms of Riemann integrals with respect to the distribution function, polar coordinates, Jacobi's transformation formula and finally the introduction of surface measure followed by a proof of the Divergence Theorem. A few of the basic inequalitites of measure theory are derived in Chapter V. In particular, the inequalities of Jensen, Minkowski and HÖLder are presented. Finally, Chapter Vi starts with the Daniell integral and its applications to the CarathÉOdory Extension and Riesz Representation Theorems. It closes with Von Neumann's derivation of the Radon-Nikodym Theorem. paperback, Label: Wspc, Wspc, Produktgruppe: Book, Publiziert: 1990-03-01, Studio: Wspc, Verkaufsrang: 4114760

From Seller/Antiquarian, Oregon Trail Book Company

The choice of topics included in this book, as well as the presentation of those topics, has been guided by the author's experience in teaching this material to classes consisting of advanced graduate students who are not concentrating in mathematics. This book contains an introduction to the modern theory of integration with a strong emphasis on the case of Lebesgue's measure for (Rn and eye toward applications to real analysis and probability theory. Following a brief review of the classical Riemann theory in Chapter I, the details of Lebesgue's construction are given in Chapter Ii, which also contains a derivation of the transformation properties of Lebesgue's measure under linear maps. Chapter Iii is devoted to Lebesgue's theory of integration of real-valued functions on a general measure space. Besides the basic convergence theorems, this chapter introduces product measures and Fubini's Theorem. In Chapter Iv, various topics having to do with the transformation properties of measures are derived. These include: the representation of general integrals in terms of Riemann integrals with respect to the distribution function, polar coordinates, Jacobi's transformation formula and finally the introduction of surface measure followed by a proof of the Divergence Theorem. A few of the basic inequalitites of measure theory are derived in Chapter V. In particular, the inequalities of Jensen, Minkowski and HÖLder are presented. Finally, Chapter Vi starts with the Daniell integral and its applications to the CarathÉOdory Extension and Riesz Representation Theorems. It closes with Von Neumann's derivation of the Radon-Nikodym Theorem. paperback, Label: Wspc, Wspc, Produktgruppe: Book, Publiziert: 1990-03-01, Studio: Wspc, Verkaufsrang: 4114760

Platform order number Amazon.com: zEMEr3IU0%2F10dXzPLQr1s%2Beiw9 rTI98Jx3%2BgeuW1ZtuCfhO%2FCdaw 8yOfj6MmV%2Bh1ANZGsVXUeHPJn9j7 jEhwF5NrRTw6XllhWWjy1pkGb2Edza I1uFBs8w%3D%3D

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Data from 08/07/2014 07:11h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

Keywords: Almanacs & Yearbooks, Atlases & Maps, Careers, Catalogs & Directories, Consumer Guides, Dictionaries & Thesauruses, Encyclopedias & Subject Guides, English as a Second Language, Etiquette, Foreign Language Study & Reference, Genealogy, Quotations, Survival & Emergency Preparedness, Test Preparation, Words, Language & Grammar, Writing, Research & Publishing Guides, Books, Science & Math, Mathematics, Pure Mathematics, Calculus, Specialty Boutique, New, Used & Rental Textbooks, Science & Mathematics

Data from 08/07/2014 07:11h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

2

## Concise Introduction To The Theory Of Integration, A (Series in Pure Mathematics) (?)

### ISBN: 9789810201456 (?) or 9810201451, unknown language, Wspc, Paperback, New

From Seller/Antiquarian, ExtremelyReliable [8304062], Richmond, TX, U.S.A.

seller comment ExtremelyReliable [8304062], Richmond, TX, U.S.A.:

Händlerbewertung: 5, NEW BOOK, New

Platform order number Abebooks.de: 13064051679

Data from 08/07/2014 07:11h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

Händlerbewertung: 5, NEW BOOK, New

Platform order number Abebooks.de: 13064051679

Data from 08/07/2014 07:11h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

3

## Concise Introduction to the Theory of in (?)

### ISBN: 9789810201456 (?) or 9810201451, unknown language, New

From Seller/Antiquarian, GreatBookPrices [5352716], Westminster, MD, U.S.A.

seller comment GreatBookPrices [5352716], Westminster, MD, U.S.A.:

Händlerbewertung: 4, NEW BOOK, New

Platform order number Abebooks.de: 12847939595

Data from 08/07/2014 07:11h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

Händlerbewertung: 4, NEW BOOK, New

Platform order number Abebooks.de: 12847939595

Data from 08/07/2014 07:11h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

4

## A Concise Introduction to the Theory of Integration (Hardcover) (1990) (?)

### ISBN: 9789810201456 (?) or 9810201451, unknown language, hardcover, New

From Seller/Antiquarian, ABC Books [9235530], Lowfield Heath, CRAWL, United Kingdom

hardcover. The get-up and printing are inviting. This text is designed for a semester course at graduate level. K Chandrasekhara Rao Mathematics Abstracts, 1992 This book, unusual in many respects, fully a.Shipping may be from our UK, US or Australian warehouse depending on stock availability. 148 pages. 0.386

hardcover. The get-up and printing are inviting. This text is designed for a semester course at graduate level. K Chandrasekhara Rao Mathematics Abstracts, 1992 This book, unusual in many respects, fully a.Shipping may be from our UK, US or Australian warehouse depending on stock availability. 148 pages. 0.386

seller comment ABC Books [9235530], Lowfield Heath, CRAWL, United Kingdom:

Händlerbewertung: 4, NEW BOOK, New

Platform order number Abebooks.de: 11600674169

Category: Mathematics|Calculus

Data from 08/07/2014 07:11h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

Händlerbewertung: 4, NEW BOOK, New

Platform order number Abebooks.de: 11600674169

Category: Mathematics|Calculus

Data from 08/07/2014 07:11h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

5

## CONCISE INTRODUCTION TO THE THEORY OF INTEGRATION: PURE MATHEMATICS - VOLUME 12 (?)

### ISBN: 9789810201456 (?) or 9810201451, unknown language, New

**SGD 48.33 (€ 30.28)¹**(free shipping, without obligation)

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From Seller/Antiquarian, Bookshub [56517106], Karol Bagh, India

New. US edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority.

From Seller/Antiquarian, Bookshub [56517106], Karol Bagh, India

New. US edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority.

seller comment Bookshub [56517106], Karol Bagh, India:

Händlerbewertung: 5, NEW BOOK, New

Platform order number Abebooks.de: 15823391126

Data from 07/06/2015 04:38h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

Händlerbewertung: 5, NEW BOOK, New

Platform order number Abebooks.de: 15823391126

Data from 07/06/2015 04:38h

ISBN (alternative notations): 981-02-0145-1, 978-981-02-0145-6

### 9789810201456

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