A Modern Theory of Integration

Valutazione media 3,92
( su 12 valutazioni fornite da GoodReads )
 
9780821808450: A Modern Theory of Integration

The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is "better" because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with "improper" integrals. This book is an introduction to a relatively new theory of the integral (called the "generalized Riemann integral" or the "Henstock-Kurzweil integral") that corrects the defects in the classical Riemann theory and both simplifies and extends the Lebesgue theory of integration. Although this integral includes that of Lebesgue, its definition is very close to the Riemann integral that is familiar to students from calculus. One virtue of the new approach is that no measure theory and virtually no topology is required. Indeed, the book includes a study of measure theory as an application of the integral. Part 1 fully develops the theory of the integral of functions defined on a compact interval. This restriction on the domain is not necessary, but it is the case of most interest and does not exhibit some of the technical problems that can impede the reader's understanding. Part 2 shows how this theory extends to functions defined on the whole real line. The theory of Lebesgue measure from the integral is then developed, and the author makes a connection with some of the traditional approaches to the Lebesgue integral. Thus, readers are given full exposure to the main classical results. The text is suitable for a first-year graduate course, although much of it can be readily mastered by advanced undergraduate students. Included are many examples and a very rich collection of exercises. There are partial solutions to approximately one-third of the exercises.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

A comprehensive, beautifully written exposition. ( Zentralblatt MATH )

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

Edizione Internazionale
Edizione Internazionale

1.

AMS
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Quantità: 5
Edizione Internazionale
Da
firstbookstore
(New Delhi, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Codice libro della libreria AIND-33526

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 30,60
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: India a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

2.

Bartle, Robert
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Quantità: 1
Edizione Internazionale
Da
EBOOKSTORE2010
(New Delhi, ND, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Codice libro della libreria SHUB49004

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 30,92
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: India a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

3.

Bartle, Robert
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Quantità: 1
Edizione Internazionale
Da
Bookshub
(Karol Bagh, India)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. New. International edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Codice libro della libreria ABE-FEB-49004

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 30,97
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: India a: U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

4.

AMS
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Brossura Quantità: 5
Edizione Internazionale
Da
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Codice libro della libreria AUSBNEW-33526

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 33,14
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

5.

Bartle, Robert
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Brossura Quantità: 1
Edizione Internazionale
Da
Basi6 International
(Irving, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Codice libro della libreria ABEUSA-49004

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 33,16
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi
Edizione Internazionale
Edizione Internazionale

6.

ROBERT G BARTLE
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Soft cover Quantità: > 20
Edizione Internazionale
Da
University Bookstore
(DELHI, DELHI, India)
Valutazione libreria
[?]

Descrizione libro 2001. Soft cover. Condizione libro: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number & cover page may be different but contents identical to the US edition word by word. Book is in English language. Codice libro della libreria UN-STOCK-UPIN-1488

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 24,17
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,00
Da: India a: U.S.A.
Destinazione, tempi e costi

7.

Bartle, Robert G.
Editore: Providence, Rhode Island, U.S.A.: Amer Mathematical Society (2001)
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Soft cover Quantità: > 20
Edizione Internazionale
Da
University Bookstore
(DELHI, DELHI, India)
Valutazione libreria
[?]

Descrizione libro Providence, Rhode Island, U.S.A.: Amer Mathematical Society, 2001. Soft cover. Condizione libro: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number and cover page may be different but contents identical to the US edition word by word. Book is in English language. Codice libro della libreria up1139

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 28,49
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 10,00
Da: India a: U.S.A.
Destinazione, tempi e costi

8.

Bartle, Robert
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Quantità: 1
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218084500000000

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 74,63
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

9.

Robert G. Bartle
Editore: American Mathematical Society, United States (2001)
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Rilegato Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, United States, 2001. Hardback. Condizione libro: New. 262 x 180 mm. Language: English . Brand New Book. The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is better because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with improper integrals. This book is an introduction to a relatively new theory of the integral (called the generalized Riemann integral or the Henstock-Kurzweil integral ) that corrects the defects in the classical Riemann theory and both simplifies and extends the Lebesgue theory of integration. Although this integral includes that of Lebesgue, its definition is very close to the Riemann integral that is familiar to students from calculus. One virtue of the new approach is that no measure theory and virtually no topology is required.Indeed, the book includes a study of measure theory as an application of the integral. Part 1 fully develops the theory of the integral of functions defined on a compact interval. This restriction on the domain is not necessary, but it is the case of most interest and does not exhibit some of the technical problems that can impede the reader s understanding. Part 2 shows how this theory extends to functions defined on the whole real line. The theory of Lebesgue measure from the integral is then developed, and the author makes a connection with some of the traditional approaches to the Lebesgue integral. Thus, readers are given full exposure to the main classical results.The text is suitable for a first-year graduate course, although much of it can be readily mastered by advanced undergraduate students. Included are many examples and a very rich collection of exercises. There are partial solutions to approximately one-third of the exercises. A complete solutions manual is available separately. Codice libro della libreria AAN9780821808450

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 76,68
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

10.

Robert G. Bartle
Editore: American Mathematical Society, United States (2001)
ISBN 10: 0821808451 ISBN 13: 9780821808450
Nuovi Rilegato Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, United States, 2001. Hardback. Condizione libro: New. 262 x 180 mm. Language: English . Brand New Book. The theory of integration is one of the twin pillars on which analysis is built. The first version of integration that students see is the Riemann integral. Later, graduate students learn that the Lebesgue integral is better because it removes some restrictions on the integrands and the domains over which we integrate. However, there are still drawbacks to Lebesgue integration, for instance, dealing with the Fundamental Theorem of Calculus, or with improper integrals. This book is an introduction to a relatively new theory of the integral (called the generalized Riemann integral or the Henstock-Kurzweil integral ) that corrects the defects in the classical Riemann theory and both simplifies and extends the Lebesgue theory of integration. Although this integral includes that of Lebesgue, its definition is very close to the Riemann integral that is familiar to students from calculus. One virtue of the new approach is that no measure theory and virtually no topology is required.Indeed, the book includes a study of measure theory as an application of the integral. Part 1 fully develops the theory of the integral of functions defined on a compact interval. This restriction on the domain is not necessary, but it is the case of most interest and does not exhibit some of the technical problems that can impede the reader s understanding. Part 2 shows how this theory extends to functions defined on the whole real line. The theory of Lebesgue measure from the integral is then developed, and the author makes a connection with some of the traditional approaches to the Lebesgue integral. Thus, readers are given full exposure to the main classical results.The text is suitable for a first-year graduate course, although much of it can be readily mastered by advanced undergraduate students. Included are many examples and a very rich collection of exercises. There are partial solutions to approximately one-third of the exercises. A complete solutions manual is available separately. Codice libro della libreria AAN9780821808450

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 76,72
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro