From Vector Spaces to Function Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook From Vector Spaces to Function Spaces write by Yutaka Yamamoto. This book was released on 2012-10-31. From Vector Spaces to Function Spaces available in PDF, EPUB and Kindle. A guide to analytic methods in applied mathematics from the perspective of functional analysis, suitable for scientists, engineers and students.
A Vector Space Approach to Geometry
A Vector Space Approach to Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Vector Space Approach to Geometry write by Melvin Hausner. This book was released on 2018-10-17. A Vector Space Approach to Geometry available in PDF, EPUB and Kindle. A fascinating exploration of the correlation between geometry and linear algebra, this text also offers elementary explanations of the role of geometry in other branches of math and science. 1965 edition.
Modern Methods in Topological Vector Spaces
Modern Methods in Topological Vector Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Methods in Topological Vector Spaces write by Albert Wilansky. This book was released on 2013-01-01. Modern Methods in Topological Vector Spaces available in PDF, EPUB and Kindle. "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"--
A Course on Topological Vector Spaces
A Course on Topological Vector Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Course on Topological Vector Spaces write by Jürgen Voigt. This book was released on 2020-03-06. A Course on Topological Vector Spaces available in PDF, EPUB and Kindle. This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem. The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
Analysis in Vector Spaces
Analysis in Vector Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis in Vector Spaces write by Mustafa A. Akcoglu. This book was released on 2011-09-09. Analysis in Vector Spaces available in PDF, EPUB and Kindle. 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.
