A Course In Analysis
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A Course In Analysis
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Author : Niels Jacob
language : en
Publisher: World Scientific Publishing Company
Release Date : 2020-01-16
A Course In Analysis written by Niels Jacob and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-16 with Calculus categories.
The book is an advanced textbook and a reference text in functional analysis in the wide sense. It provides advanced undergraduate and graduate students with a coherent introduction to the field, i.e. the basic principles, and leads them to more demanding topics such as the spectral theorem, Choquet theory, interpolation theory, analysis of operator semigroups, Hilbert-Schmidt operators and Hille-Tamarkin operators, topological vector spaces and distribution theory, fundamental solutions, or the Schwartz kernel theorem.All topics are treated in great detail and the text provided is suitable for self-studying the subject. This is enhanced by more than 270 problems solved in detail. At the same time the book is a reference text for any working mathematician needing results from functional analysis, operator theory or the theory of distributions.Embedded as Volume V in the Course of Analysis, readers will have a self-contained treatment of a key area in modern mathematics. A detailed list of references invites to further studies.
A First Course In Analysis
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Author : John B. Conway
language : en
Publisher: Cambridge University Press
Release Date : 2018
A First Course In Analysis written by John B. Conway and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.
Real Analysis A Comprehensive Course In Analysis Part 1
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-11-02
Real Analysis A Comprehensive Course In Analysis Part 1 written by Barry Simon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-02 with Mathematical analysis categories.
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.
A Course In Abstract Analysis
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Author : John B. Conway
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-10-03
A Course In Abstract Analysis written by John B. Conway and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-03 with Mathematics categories.
This book covers topics appropriate for a first-year graduate course preparing students for the doctorate degree. The first half of the book presents the core of measure theory, including an introduction to the Fourier transform. This material can easily be covered in a semester. The second half of the book treats basic functional analysis and can also be covered in a semester. After the basics, it discusses linear transformations, duality, the elements of Banach algebras, and C*-algebras. It concludes with a characterization of the unitary equivalence classes of normal operators on a Hilbert space. The book is self-contained and only relies on a background in functions of a single variable and the elements of metric spaces. Following the author's belief that the best way to learn is to start with the particular and proceed to the more general, it contains numerous examples and exercises.
A First Course In Analysis
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Author : George Pedrick
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-10
A First Course In Analysis written by George Pedrick 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 2012-09-10 with Mathematics categories.
This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.
A Course Of Analysis
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Author : E. G. Phillips
language : en
Publisher:
Release Date : 1962
A Course Of Analysis written by E. G. Phillips and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with categories.
A Course Of Analysis
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Author : Edgar Giraldus Phillips
language : en
Publisher:
Release Date : 1956
A Course Of Analysis written by Edgar Giraldus Phillips and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Calculus categories.
A First Course In Analysis
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Author : Donald Yau
language : en
Publisher: World Scientific
Release Date : 2013
A First Course In Analysis written by Donald Yau and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This book is an introductory text on real analysis for undergraduate students. The prerequisite for this book is a solid background in freshman calculus in one variable. The intended audience of this book includes undergraduate mathematics majors and students from other disciplines who use real analysis. Since this book is aimed at students who do not have much prior experience with proofs, the pace is slower in earlier chapters than in later chapters. There are hundreds of exercises, and hints for some of them are included.
A Course Of Modern Analysis
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Author : E. T. Whittaker
language : en
Publisher: Cambridge University Press
Release Date : 1927
A Course Of Modern Analysis written by E. T. Whittaker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.
This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.
A Course In Functional Analysis And Measure Theory
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Author : Vladimir Kadets
language : en
Publisher: Springer
Release Date : 2018-07-10
A Course In Functional Analysis And Measure Theory written by Vladimir Kadets and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-10 with Mathematics categories.
Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.