Calculus In Vector Spaces Revised Expanded

Author : Lawrence Corwin
Publisher : Routledge
ISBN 13 : 1351462830
Total Pages : 600 pages
Book Rating : 4.39/5 ( download)

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Download or read book Calculus in Vector Spaces, Revised Expanded written by Lawrence Corwin and published by Routledge. This book was released on 2017-11-22 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Lawrence Corwin
Publisher : CRC Press
ISBN 13 : 9780824792794
Total Pages : 616 pages
Book Rating : 4.93/5 ( download)

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Download or read book Calculus in Vector Spaces, Second Edition, Revised Expanded written by Lawrence Corwin and published by CRC Press. This book was released on 1994-12-08 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Lawrence Corwin
Publisher : Routledge
ISBN 13 : 1351462822
Total Pages : 334 pages
Book Rating : 4.22/5 ( download)

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Download or read book Calculus in Vector Spaces, Revised Expanded written by Lawrence Corwin and published by Routledge. This book was released on 2017-11-22 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Mustafa A. Akcoglu
Publisher : John Wiley & Sons
ISBN 13 : 1118164598
Total Pages : 480 pages
Book Rating : 4.94/5 ( download)

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Download or read book Analysis in Vector Spaces written by Mustafa A. Akcoglu and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Lawrence J. Corwin
Publisher :
ISBN 13 :
Total Pages : 806 pages
Book Rating : 4.15/5 ( download)

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Download or read book Calculus in Vector Spaces written by Lawrence J. Corwin and published by . This book was released on 1979 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : A. Frölicher
Publisher : Springer
ISBN 13 : 354034862X
Total Pages : 159 pages
Book Rating : 4.27/5 ( download)

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Download or read book Calculus in Vector Spaces without Norm written by A. Frölicher and published by Springer. This book was released on 2006-11-15 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John H. Hubbard
Publisher :
ISBN 13 : 9780971576605
Total Pages : 208 pages
Book Rating : 4.02/5 ( download)

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Download or read book Student solution manual for the second edition of vector calculus, linear algebra, and differential forms written by John H. Hubbard and published by . This book was released on 2002-01-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : John H. Hubbard
Publisher :
ISBN 13 : 9780130414083
Total Pages : 0 pages
Book Rating : 4.85/5 ( download)

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Download or read book Vector Calculus, Linear Algebra, and Differential Forms written by John H. Hubbard and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Rodney Coleman
Publisher : Springer Science & Business Media
ISBN 13 : 1461438942
Total Pages : 255 pages
Book Rating : 4.46/5 ( download)

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Download or read book Calculus on Normed Vector Spaces written by Rodney Coleman and published by Springer Science & Business Media. This book was released on 2012-07-25 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : John Hamal Hubbard
Publisher :
ISBN 13 : 9780971576674
Total Pages : 284 pages
Book Rating : 4.7X/5 ( download)

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Download or read book Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach written by John Hamal Hubbard and published by . This book was released on 2009 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: