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Real Analysis: Measure and Integration (De Gruyter Text - Paperback NEW Markin,
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eBay item number:145561479747
Item specifics
- Condition
- Weight
- 200grams
- Subjects
- N/A
- Pages
- 354
- Size
- 23.9 x 16.8 x 2.3 centimetres (0
- Topic
- Unknown
- Book Title
- Real Analysis: Measure and Integration (De Gruyter Textbook)
- ISBN
- 9783110600971
- Publication Year
- 2019
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Publication Name
- Real Analysis: Measure and Integration
- Item Height
- 240mm
- Publisher
- De Gruyter
- Item Width
- 170mm
- Subject
- Mathematics
- Item Weight
- 678g
- Number of Pages
- 354 Pages
About this product
Product Information
The philosophy of the book, which makes it quite distinct from many existing texts on the subject, is based on treating the concepts of measure and integration starting with the most general abstract setting and then introducing and studying the Lebesgue measure and integration on the real line as an important particular case. The book consists of nine chapters and appendix, with the material flowing from the basic set classes, through measures, outer measures and the general procedure of measure extension, through measurable functions and various types of convergence of sequences of such based on the idea of measure, to the fundamentals of the abstract Lebesgue integration, the basic limit theorems, and the comparison of the Lebesgue and Riemann integrals. Also, studied are Lp spaces, the basics of normed vector spaces, and signed measures. The novel approach based on the Lebesgue measure and integration theory is applied to develop a better understanding of differentiation and extend the classical total change formula linking differentiation with integration to a substantially wider class of functions. Being designed as a text to be used in a classroom, the book constantly calls for the student's actively mastering the knowledge of the subject matter. There are problems at the end of each chapter, starting with Chapter 2 and totaling at 125. Many important statements are given as problems and frequently referred to in the main body. There are also 358 Exercises throughout the text, including Chapter 1 and the Appendix, which require of the student to prove or verify a statement or an example, fill in certain details in a proof, or provide an intermediate step or a counterexample. They are also an inherent part of the material. More difficult problems are marked with an asterisk, many problems and exercises are supplied with ``existential'' hints. The book is generous on Examples and contains numerous Remarks accompanying definitions, examples, and statements to discuss certain subtleties, raise questions on whether the converse assertions are true, whenever appropriate, or whether the conditions are essential. With plenty of examples, problems, and exercises, this well-designed text is ideal for a one-semester Master's level graduate course on real analysis with emphasis on the measure and integration theory for students majoring in mathematics, physics, computer science, and engineering. A concise but profound and detailed presentation of the basics of real analysis with emphasis on the measure and integration theory. Designed for a one-semester graduate course, with plethora of examples, problems, and exercises. Is of interest to students and instructors in mathematics, physics, computer science, and engineering. Prepares the students for more advanced courses in functional analysis and operator theory. Contents Preliminaries Basic Set Classes Measures Extension of Measures Measurable Functions Abstract Lebesgue Integral Lp Spaces Differentiation and Integration Signed Measures The Axiom of Choice and Equivalents
Product Identifiers
Publisher
De Gruyter
ISBN-13
9783110600971
eBay Product ID (ePID)
3046597323
Product Key Features
Publication Name
Real Analysis: Measure and Integration
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2019
Type
Textbook
Number of Pages
354 Pages
Dimensions
Item Height
240mm
Item Width
170mm
Item Weight
678g
Additional Product Features
Series Title
De Gruyter Textbook
Country/Region of Manufacture
Germany
Item description from the seller
Business seller information
Charlies Chapters Ltd
Charles Sword
81 Balmoral Drive
SOUTHPORT
Merseyside
PR9 8QH
United Kingdom
krddf
Value added tax number:
- GB 920245361
Company registration number:
- 06386895
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The book arrived well packed get & I pristine condition at a good price. I would have liked it by 1st class post & I contacted this Seller via EBAY 'CONTACT' but got NO RESPONSE via either my email account or on ebay and certainly not in my Spam folder...SO what can you say I was inconvenienced a bit but got a positive outcome? I think they're reliable for transactions but something is remiss with electronic communication via EBAY or perhaps not tech savvy or disinterested or unwell etc..
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As usual with this seller, the book was exactly as described and very well packed. However, delivery times can vary significantly. This was one of 4 books ordered at the same time. Two arrived in about a week, but this one took almost 3 weeks. A reliable seller who answers questions promptly, but could improve on dispatch times.
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I keep coming back to this seller to buy my books if they have what I want in stock, as they are always in beautiful mint condition, packaged well, and arrive earlier than listed. Brilliant and prompt communication too. Thanks again! ⭐️⭐️⭐️⭐️⭐️
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