Paperback. A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents the central results of this classic subject through rigorous arguments, discussions, and examples. The book aims to cultivate not only knowledge of the major theoretical results, but also the geometric intuition needed for both mathematical problem-solving and modeling in the formal sciences. The authors begin with an outline of key concepts, terminology, and notation and also provide a basic introduction to set theory, the properties of real numbers, and a review of linear algebra. An elegant approach to eigenvector problems and the spectral theorem sets the stage for later results on volume and integration. Subsequent chapters present the major results of differential and integral calculus of several variables as well as the theory of manifolds. Additional topical coverage includes: Sets and functionsReal numbersVector functionsNormed vector spacesFirst- and higher-order derivativesDiffeomorphisms and manifoldsMultiple integralsIntegration on manifoldsStokes' theoremBasic point set topology Numerous examples and exercises are provided in each chapter to reinforce new concepts and to illustrate how results can be applied to additional problems. Furthermore, proofs and examples are presented in a clear style that emphasizes the underlying intuitive ideas. Counterexamples are provided throughout the book to warn against possible mistakes, and extensive appendices outline the construction of real numbers, include a fundamental result about dimension, and present general results about determinants. Assuming only a fundamental understanding of linear algebra and single variable calculus, Analysis in Vector Spaces is an excellent book for a second course in analysis for mathematics, physics, computer science, and engineering majors at the undergraduate and graduate levels. It also serves as a valuable reference for further study in any discipline that requires a firm understanding of mathematical techniques and concepts. The concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents the central results of this classic subject through rigorous arguments, discussions, and examples. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

N� de ref. del art�culo 9780470148259

Contactar al vendedor

Denunciar este art�culo

Detalles bibliogr�ficos

T�tulo

Solutions Manual to accompany Analysis in Vector Spaces (Paperback)

Editor

John Wiley & Sons Inc, New York

Fecha de publicaci�n

2009

Idioma

Ingl�s

ISBN 10

047014825X

ISBN 13

9780470148259

Encuadernaci�n

Paperback

Edici�n

1� Edici�n

Estado

new

Cat�logos de vendedores

Acerca de

Sinopsis

A rigorous introduction to calculus in vector spaces

The concepts and theorems of advanced calculus combined with related computational methods are essential to understanding nearly all areas of quantitative science. Analysis in Vector Spaces presents the central results of this classic subject through rigorous arguments, discussions, and examples. The book aims to cultivate not only knowledge of the major theoretical results, but also the geometric intuition needed for both mathematical problem-solving and modeling in the formal sciences.

The authors begin with an outline of key concepts, terminology, and notation and also provide a basic introduction to set theory, the properties of real numbers, and a review of linear algebra. An elegant approach to eigenvector problems and the spectral theorem sets the stage for later results on volume and integration. Subsequent chapters present the major results of differential and integral calculus of several variables as well as the theory of manifolds. Additional topical coverage includes:

Sets and functions
Real numbers
Vector functions
Normed vector spaces
First- and higher-order derivatives
Diffeomorphisms and manifolds
Multiple integrals
Integration on manifolds
Stokes' theorem
Basic point set topology

Numerous examples and exercises are provided in each chapter to reinforce new concepts and to illustrate how results can be applied to additional problems. Furthermore, proofs and examples are presented in a clear style that emphasizes the underlying intuitive ideas. Counterexamples are provided throughout the book to warn against possible mistakes, and extensive appendices outline the construction of real numbers, include a fundamental result about dimension, and present general results about determinants.

Assuming only a fundamental understanding of linear algebra and single variable calculus, Analysis in Vector Spaces is an excellent book for a second course in analysis for mathematics, physics, computer science, and engineering majors at the undergraduate and graduate levels. It also serves as a valuable reference for further study in any discipline that requires a firm understanding of mathematical techniques and concepts.

Acerca del autor

MUSTAFA A. AKCOGLU, PhD, is Professor Emeritus in the Department of Mathematics at the University of Toronto, Canada. He has authored or coauthored over sixty journal articles on the topics of ergodic theory, functional analysis, and harmonic analysis.

PAUL F.A. BARTHA, PhD, is Associate Professor in the Department of Philosophy at The University of British Columbia, Canada. He has authored or coauthored journal articles on topics such as probability and symmetry, probabilistic paradoxes, and the general philosophy of science.

DZUNG MINH HA, PhD, is Associate Professor in the Department of Mathematics at Ryerson University, Canada. Dr. Ha focuses his research in the areas of ergodic theory and operator theory.

"Sobre este t�tulo" puede pertenecer a otra edici�n de este libro.

Descripci�n de la librer�a

Online business

Ver la p�gina web de la librer�a

Informaci�n empresarial del vendedor

ABC BOOKS LIMITED
10 John Street, London, WC1N 2EB, United Kingdom

Condiciones de venta y env�o

Condiciones de venta

Orders can be returned within 30 days of receipt.

Derecho a cancelaci�n

Condiciones de env�o

Please note that titles are dispatched from our US, Canadian or Australian warehouses. Delivery times specified in shipping terms. Orders ship within 2 business days. Delivery to your door then takes 7-14 days.

Tarifas de env�o de Reino Unido a Espa�a

Tarifas de env�o de Reino Unido a Espa�a
Cantidad del pedido	De 7 a 60 d�as h�biles	De 7 a 14 d�as h�biles
Primer art�culo	EUR 34.71	EUR 42.81

Los plazos de entrega los establecen los vendedores y var�an seg�n el transportista y la ubicaci�n. Los pedidos que pasan por la aduana pueden sufrir retrasos y los compradores son responsables de los aranceles o tarifas asociadas. Los vendedores pueden ponerse en contacto con usted en relaci�n con cargos adicionales para cubrir cualquier aumento en los costes de env�o de los art�culos.