Topological Vector Spaces and Algebras

Topological Vector Spaces and Algebras

Author: Lucien Waelbroeck

Publisher: Springer

Published: 2006-11-15

Total Pages: 165

ISBN-13: 3540369384

DOWNLOAD EBOOK

The lectures associated with these notes were given at the Instituto de Matematica Pura e Aplicada (IMPA) in Rio de Janeiro, during the local winter 1970. To emphasize the properties of topological algebras, the author had started out his lecture with results about topological algebras, and introduced the linear results as he went along.


Modern Methods in Topological Vector Spaces

Modern Methods in Topological Vector Spaces

Author: Albert Wilansky

Publisher: Courier Corporation

Published: 2013-01-01

Total Pages: 324

ISBN-13: 0486493539

DOWNLOAD EBOOK

"Designed for a one-year course in topological vector spaces, this text is geared toward beginning graduate students of mathematics. Topics include Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators,inductive limits, and compactness and barrelled spaces. Extensive tables cover theorems and counterexamples. Rich problem sections throughout the book. 1978 edition"--


Topological Uniform Structures

Topological Uniform Structures

Author: Warren Page

Publisher: Courier Dover Publications

Published: 1988

Total Pages: 398

ISBN-13: 9780486658087

DOWNLOAD EBOOK

Exceptionally smooth, clear, detailed examination of uniform spaces, topological groups, topological vector spaces, topological algebras and abstract harmonic analysis. Also, topological vector-valued measure spaces as well as numerous problems and examples. For advanced undergraduates and beginning graduate students. Bibliography. Index.


Topological Vector Spaces, Algebras and Related Areas

Topological Vector Spaces, Algebras and Related Areas

Author: A Lau

Publisher: CRC Press

Published: 1995-05-15

Total Pages: 284

ISBN-13: 9780582257771

DOWNLOAD EBOOK

This volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.


Topological Vector Spaces and Their Applications

Topological Vector Spaces and Their Applications

Author: V.I. Bogachev

Publisher: Springer

Published: 2017-05-16

Total Pages: 466

ISBN-13: 3319571176

DOWNLOAD EBOOK

This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.


Mathematics For Physics: An Illustrated Handbook

Mathematics For Physics: An Illustrated Handbook

Author: Adam Marsh

Publisher: World Scientific

Published: 2017-11-27

Total Pages: 301

ISBN-13: 9813233931

DOWNLOAD EBOOK

This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions, alternative notations and jargon, and relevant facts and theorems. Special attention is given to detailed figures and geometric viewpoints. Certain topics which are well covered in textbooks, such as historical motivations, proofs and derivations, and tools for practical calculations, are avoided. The primary physical models targeted are general relativity, spinors, and gauge theories, with notable chapters on Riemannian geometry, Clifford algebras, and fiber bundles.


Calculus on Normed Vector Spaces

Calculus on Normed Vector Spaces

Author: Rodney Coleman

Publisher: Springer Science & Business Media

Published: 2012-07-25

Total Pages: 255

ISBN-13: 1461438942

DOWNLOAD EBOOK

This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.


Topological Vector Spaces

Topological Vector Spaces

Author: Lawrence Narici

Publisher: CRC Press

Published: 2010-07-26

Total Pages: 628

ISBN-13: 1584888679

DOWNLOAD EBOOK

With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on v


A Physicists Introduction to Algebraic Structures

A Physicists Introduction to Algebraic Structures

Author: Palash B. Pal

Publisher: Cambridge University Press

Published: 2019-05-23

Total Pages: 717

ISBN-13: 1108492207

DOWNLOAD EBOOK

Algebraic structures including vector space, groups, topological spaces and more, all covered in one volume, showing the mutual connections.