Author: J. Yeh
Publisher: World Scientific
ISBN: 9789810239367
Category : Mathematics
Languages : en
Pages : 568
Book Description
The theory of the Lebesgue integral is a main pillar in the foundation of modern analysis and its applications, including probability theory. This volume shows how and why the Lebesgue integral is such a universal and powerful concept. The lines of development of the theory are made clear by the order in which the main theorems are presented. Frequent references to earlier theorems made in the proofs emphasize the interdependence of the theorems and help to show how the various definitions and theorems fit together. Counter-examples are included to show why a hypothesis in a theorem cannot be dropped. The book is based upon a course on real analysis which the author has taught. It is particularly suitable for a one-year course at the graduate level. Precise statements and complete proofs are given for every theorem, with no obscurity left. For this reason the book is also suitable for self-study.
Lectures on Real Analysis
Author: J. Yeh
Publisher: World Scientific
ISBN: 9789810239367
Category : Mathematics
Languages : en
Pages : 568
Book Description
The theory of the Lebesgue integral is a main pillar in the foundation of modern analysis and its applications, including probability theory. This volume shows how and why the Lebesgue integral is such a universal and powerful concept. The lines of development of the theory are made clear by the order in which the main theorems are presented. Frequent references to earlier theorems made in the proofs emphasize the interdependence of the theorems and help to show how the various definitions and theorems fit together. Counter-examples are included to show why a hypothesis in a theorem cannot be dropped. The book is based upon a course on real analysis which the author has taught. It is particularly suitable for a one-year course at the graduate level. Precise statements and complete proofs are given for every theorem, with no obscurity left. For this reason the book is also suitable for self-study.
Publisher: World Scientific
ISBN: 9789810239367
Category : Mathematics
Languages : en
Pages : 568
Book Description
The theory of the Lebesgue integral is a main pillar in the foundation of modern analysis and its applications, including probability theory. This volume shows how and why the Lebesgue integral is such a universal and powerful concept. The lines of development of the theory are made clear by the order in which the main theorems are presented. Frequent references to earlier theorems made in the proofs emphasize the interdependence of the theorems and help to show how the various definitions and theorems fit together. Counter-examples are included to show why a hypothesis in a theorem cannot be dropped. The book is based upon a course on real analysis which the author has taught. It is particularly suitable for a one-year course at the graduate level. Precise statements and complete proofs are given for every theorem, with no obscurity left. For this reason the book is also suitable for self-study.
Author:
Publisher: Odile Jacob
ISBN: 2738181929
Category :
Languages : en
Pages : 159
Book Description
Publisher: Odile Jacob
ISBN: 2738181929
Category :
Languages : en
Pages : 159
Book Description
Lectures On Representation Theory
Author: Jing-song Huang
Publisher: World Scientific
ISBN: 9814495379
Category : Mathematics
Languages : en
Pages : 200
Book Description
This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997. It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge in representation theory. It only assumes that the reader has a good knowledge of linear algebra and some basic knowledge of abstract algebra.Parts I-III of the book cover the relatively elementary material of representation theory of finite groups, simple Lie algebras and compact Lie groups. These theories are natural continuation of linear algebra. The last chapter of Part III includes some recent results on extension of Weyl's construction to exceptional groups. Part IV covers some advanced material on infinite-dimensional representations of non-compact groups such as the orbit method, minimal representations and dual pair correspondences, which introduces some directions of the current research in representation theory.
Publisher: World Scientific
ISBN: 9814495379
Category : Mathematics
Languages : en
Pages : 200
Book Description
This book is an expanded version of the lectures given at the Nankai Mathematical Summer School in 1997. It provides an introduction to Lie groups, Lie algebras and their representations as well as introduces some directions of current research for graduate students who have little specialized knowledge in representation theory. It only assumes that the reader has a good knowledge of linear algebra and some basic knowledge of abstract algebra.Parts I-III of the book cover the relatively elementary material of representation theory of finite groups, simple Lie algebras and compact Lie groups. These theories are natural continuation of linear algebra. The last chapter of Part III includes some recent results on extension of Weyl's construction to exceptional groups. Part IV covers some advanced material on infinite-dimensional representations of non-compact groups such as the orbit method, minimal representations and dual pair correspondences, which introduces some directions of the current research in representation theory.
The Geometrical Lectures of Isaac Barrow
Author: Isaac Barrow
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 248
Book Description
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 248
Book Description
Teaching and learning to read in a multilingual context
Author: IBE
Publisher: UNESCO Publishing
ISBN: 9231001981
Category :
Languages : en
Pages : 323
Book Description
Publisher: UNESCO Publishing
ISBN: 9231001981
Category :
Languages : en
Pages : 323
Book Description
1979-1990
Author: Henryk Sawoniak
Publisher: Walter de Gruyter
ISBN: 3110975068
Category : Reference
Languages : en
Pages : 1284
Book Description
Publisher: Walter de Gruyter
ISBN: 3110975068
Category : Reference
Languages : en
Pages : 1284
Book Description
Lectures on Quaternions
Author: Sir William Rowan Hamilton
Publisher:
ISBN:
Category : Quaternions
Languages : en
Pages : 886
Book Description
Publisher:
ISBN:
Category : Quaternions
Languages : en
Pages : 886
Book Description
Lectures Introductory to the Theory of Functions of Two Complex Variables
Author: Andrew Russell Forsyth
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 308
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 308
Book Description
Steinmetz Electrical Engineering Library: Engineering mathematics; a series of lectures delivered at Union college (3rd ed. 1917)
Author: Charles Proteus Steinmetz
Publisher:
ISBN:
Category : Electrical engineering
Languages : en
Pages : 364
Book Description
Publisher:
ISBN:
Category : Electrical engineering
Languages : en
Pages : 364
Book Description
Lectures on Quaternions: Containing a Systematic Statement of a New Mathematical Method; ... with Numerous Illustrative Diagrams, and ... Geometrical and Physical Applications
Author: Sir William Rowan Hamilton
Publisher:
ISBN:
Category :
Languages : en
Pages : 882
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 882
Book Description