Nicolas Lerner

(Author)

A Course on Integration Theory: Including More Than 150 Exercises with Detailed Answers (2014)Paperback - 2014, 17 March 2014

A Course on Integration Theory: Including More Than 150 Exercises with Detailed Answers (2014)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Print Length
492 pages
Language
English
Publisher
Birkhauser
Date Published
17 Mar 2014
ISBN-10
3034806930
ISBN-13
9783034806930

Description

This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability.​

Product Details

Author:
Nicolas Lerner
Book Edition:
2014
Book Format:
Paperback
Country of Origin:
NL
Date Published:
17 March 2014
Dimensions:
23.19 x 15.77 x 2.62 cm
Genre:
Science/Technology Aspects
ISBN-10:
3034806930
ISBN-13:
9783034806930
Language:
English
Location:
Basel
Pages:
492
Publisher:
Weight:
707.6 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.