Integral, Measure and Derivative: A Unified Approach (Dover Books on Mathematics)
7 ratings by Goodreads
Language: English
Published by Dover Publications 2000-02-01, 2000
- Softcover
- New
Seller: Chiron Media, Wallingford, United KingdomChiron Media
5-star seller
AbeBooks seller since August 2, 2010
Softcover
Condition: New
US$ 16.01
US$ 20.75 shipping
Ships from United Kingdom to U.S.A.
Quantity: 20 available
Add to basketFree 30-day returns
Seller Inventory # 6666-ING-9780486635194
- Title
- Integral, Measure and Derivative: A Unified Approach (Dover Books on Mathematics)
- Author
- G. E. Shilov
- Publisher
- Dover Publications 2000-02-01
- Publication year
- 2000
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0486635198
- ISBN 13
- 9780486635194
- Series
- Book 203 of 303: Dover Books on Mathematics
This graduate-level textbook and monograph defines the functions of a real variable through consistent use of the Daniell scheme, offering a rare and useful alternative to customary approaches. The treatment can be understood by any reader with a solid background in advanced calculus, and it features many problems with hints and answers. "The exposition is fresh and sophisticated," declared Sci-Tech Book News, "and will engage the interest of accomplished mathematicians."
Part one is devoted to the integral, moving from the Reimann integral and step functions to a general theory, and obtaining the "classical" Lebesgue integral in n space. Part two constructs the Lebesgue-Stieltjes integral through the Daniell scheme using the Reimann-Stieltjes integral as the elementary integral. Part three develops theory of measure with the general Daniell scheme, and the final part is devoted to the theory of the derivative.
Part one is devoted to the integral, moving from the Reimann integral and step functions to a general theory, and obtaining the "classical" Lebesgue integral in n space. Part two constructs the Lebesgue-Stieltjes integral through the Daniell scheme using the Reimann-Stieltjes integral as the elementary integral. Part three develops theory of measure with the general Daniell scheme, and the final part is devoted to the theory of the derivative.
"Synopsis" may belong to another edition of this title.
About the Author
Georgi Evgen'evich Shilov (1917–75) was a Soviet mathematician and an expert in the field of functional analysis who contributed to the theory of normed rings and generalized functions. He is the author of five Dover books.
B. L. Gurevich was a Soviet mathematician.
"About the title" may belong to another edition of this title.
Chiron Media
Wallingford, United Kingdom
5-star seller
AbeBooks seller since August 2, 2010
Shipping rates from United Kingdom to U.S.A.
| Item | 14 to 21 business days | 14 to 21 business days |
|---|---|---|
| First item | US$ 20.75 | US$ 20.75 |
Payment methods
Seller's business information
WRAP Ltd
Unit 4, 119 Loverock Rd
Reading, United Kingdom RG30 1DZ
Terms of sale
TBA
Shipping terms
Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.