Calculus In Vector Spaces Revised Expanded
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Calculus In Vector Spaces Revised Expanded
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Author : Lawrence Corwin
language : en
Publisher: Routledge
Release Date : 2017-11-22
Calculus In Vector Spaces Revised Expanded written by Lawrence Corwin and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Mathematics categories.
Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Calculus In Vector Spaces Second Edition Revised Expanded
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Author : Lawrence Corwin
language : en
Publisher: CRC Press
Release Date : 1994-12-08
Calculus In Vector Spaces Second Edition Revised Expanded written by Lawrence Corwin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-08 with Mathematics categories.
Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Analysis In Vector Spaces
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Author : Mustafa A. Akcoglu
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-09
Analysis In Vector Spaces written by Mustafa A. Akcoglu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-09 with Mathematics categories.
A rigorous introduction to calculus in vector spaces The concepts and theorems of advanced calculus combined withrelated computational methods are essential to understanding nearlyall areas of quantitative science. Analysis in Vector Spacespresents the central results of this classic subject throughrigorous arguments, discussions, and examples. The book aims tocultivate not only knowledge of the major theoretical results, butalso the geometric intuition needed for both mathematicalproblem-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. Anelegant approach to eigenvector problems and the spectral theoremsets the stage for later results on volume and integration.Subsequent chapters present the major results of differential andintegral calculus of several variables as well as the theory ofmanifolds. 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 toreinforce new concepts and to illustrate how results can be appliedto additional problems. Furthermore, proofs and examples arepresented in a clear style that emphasizes the underlying intuitiveideas. Counterexamples are provided throughout the book to warnagainst possible mistakes, and extensive appendices outline theconstruction of real numbers, include a fundamental result aboutdimension, and present general results about determinants. Assuming only a fundamental understanding of linear algebra andsingle variable calculus, Analysis in Vector Spaces is anexcellent book for a second course in analysis for mathematics,physics, computer science, and engineering majors at theundergraduate and graduate levels. It also serves as a valuablereference for further study in any discipline that requires a firmunderstanding of mathematical techniques and concepts.
Calculus In Vector Spaces
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Author : Lawrence J. Corwin
language : en
Publisher:
Release Date : 1979
Calculus In Vector Spaces written by Lawrence J. Corwin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Calculus in Vector Spaces addresses linear algebra from the basics to the spectral theorem and examines a range of topics in multivariable calculus. This second edition introduces, among other topics, the derivative as a linear transformation, presents linear algebra in a concrete context based on complementary ideas in calculus, and explains differential forms on Euclidean space, allowing for Green's theorem, Gauss's theorem, and Stokes's theorem to be understood in a natural setting. Mathematical analysts, algebraists, engineers, physicists, and students taking advanced calculus and linear algebra courses should find this book useful.
Vector Calculus Linear Algebra And Differential Forms
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Author : John H. Hubbard
language : en
Publisher:
Release Date : 2002
Vector Calculus Linear Algebra And Differential Forms written by John H. Hubbard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Algebras, Linear categories.
Using a dual presentation that is rigorous and comprehensive-yetexceptionaly reader-friendly in approach-this book covers most of the standard topics in multivariate calculus and an introduction to linear algebra. It focuses in underlying ideas, integrates theory and applications, offers a host of learning aids, features coverage of differential forms, and emphasizes numerical methods that highlight modern applications of mathematics. The revised and expanded content of this edition includes new discussions of functions; complex numbers; closure, interior, and boundary; orientation; forms restricted to vector spaces; expanded discussions of subsets and subspaces of R^n ; probability, change of basis matrix; and more. For individuals interested in the fields of mathematics, engineering, and science-and looking for a unified approach and better understanding of vector calculus, linear algebra, and differential forms.
Student Solution Manual For The Second Edition Of Vector Calculus Linear Algebra And Differential Forms
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Author : John H. Hubbard
language : en
Publisher:
Release Date : 2002-01-01
Student Solution Manual For The Second Edition Of Vector Calculus Linear Algebra And Differential Forms written by John H. Hubbard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-01-01 with Algebras, Linear categories.
Contains worked-out solutions to odd exercises in "Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach," by John H. Hubbard, professor of mathematics at Cornell University, and Barbara Burke Hubbard
Calculus In Vector Spaces Without Norm
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Author : A. Frölicher
language : en
Publisher: Springer
Release Date : 2006-11-15
Calculus In Vector Spaces Without Norm written by A. Frölicher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Calculus On Normed Vector Spaces
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Author : Rodney Coleman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-25
Calculus On Normed Vector Spaces written by Rodney Coleman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-25 with Mathematics categories.
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.
Finite Dimensional Vector Spaces
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Author : P.R. Halmos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Finite Dimensional Vector Spaces written by P.R. Halmos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
From the reviews: "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity....The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher." --ZENTRALBLATT FÜR MATHEMATIK
Calculus In Vector Spaces Without Norm
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Author : A. Frolicher
language : en
Publisher:
Release Date : 2014-09-01
Calculus In Vector Spaces Without Norm written by A. Frolicher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.