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25 Remote Warehouse Mathematics- Calculus

Geometric Function Theory and Non-Linear Analysis (Oxford Mathematical Monographs)

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Geometric Function Theory and Non-Linear Analysis (Oxford Mathematical Monographs) Cover

 

Synopses & Reviews

Book News Annotation:

Iwaniec (math, Syracuse U.) and Martin (math, U. of Auckland) explain recent developments in the geometry of mappings, related to functions or deformations between subsets of the Euclidean n-space Rn and more generally between manifolds or other geometric objects. Material on mappings intersects with aspects of differential geometry, topology, partial differential equations, harmonic analysis, and the calculus of variations. Chapters cover topics such as conformal mappings, stability of the M<:o>bius group, Sobolev theory and function spaces, the Liouville theorem, even dimensions, Picard and Montel theorems in space, uniformly quasiregular mappings, and quasiconformal groups.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Table of Contents

1. Introduction and overview

2. Conformal mappings

3. Stability of the Möbius group

4. Sobolev theory and function spaces

5. The Liouville theorem

6. Mappings of finite distortion

7. Continuity

8. Compactness

9. Topics from Multilinear Algebra

10. Differential Forms

11. Beltrami equations

12. Riesz transforms

13. Integral estimates

14. The Gehrng lemma

15. The governing equations

16. Topological properties of mappings of bounded distortion

17. Painlevé's theorem in space

18. Even dimensions

19. Picard and Montel theorems in space

20. Conformal structures

21. Uniformly quasiregular mappings

22. Quasiconformal groups

23. Analytic continuation for Beltrami systems

Bibliography

Index

Product Details

ISBN:
9780198509295
Author:
Iwaniec, Tadeusz
Publisher:
OUP Oxford
Author:
null, Tadeusz
Author:
null, Gaven
Author:
Martin, Gaven
Location:
Oxford
Subject:
Calculus
Subject:
Geometry, analytic
Subject:
Numerical analysis
Subject:
Nonlinear theories
Subject:
Mathematics | Pure Mathematics
Subject:
Mathematics-Calculus
Edition Number:
2
Edition Description:
Includes bibliographical references and index.
Series:
Oxford mathematical monographs
Series Volume:
13
Publication Date:
20011031
Binding:
HARDCOVER
Grade Level:
College/higher education:
Language:
English
Illustrations:
32 line illus
Pages:
568
Dimensions:
6.3 x 9.3 x 1.4 in 1.988 lb

Related Subjects

History and Social Science » Linguistics » General
Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Geometry » General

Geometric Function Theory and Non-Linear Analysis (Oxford Mathematical Monographs) New Hardcover
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