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A Course in Analysis

2016 Calculus
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Release : 2016
Genre : Calculus
Kind : eBook
Book Rating : 090/5 ( reviews)

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Book Synopsis A Course in Analysis by : Niels Jacob

Download or read book A Course in Analysis written by Niels Jacob. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the contents of two typical modules in an undergraduate mathematics course: part 1 - introductory calculus and part 2 - analysis of functions of one variable. The book contains 360 problems with complete solutions

Real Analysis

2015-11-02 Mathematics
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Release : 2015-11-02
Genre : Mathematics
Kind : eBook
Book Rating : 990/5 ( reviews)

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Book Synopsis Real Analysis by : Barry Simon

Download or read book Real Analysis written by Barry Simon. This book was released on 2015-11-02. Available in PDF, EPUB and Kindle. Book excerpt: 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 of Modern Analysis

2020-07-15 Mathematics
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Release : 2020-07-15
Genre : Mathematics
Kind : eBook
Book Rating : 86X/5 ( reviews)

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Book Synopsis A Course of Modern Analysis by : E.T. Whittaker

Download or read book A Course of Modern Analysis written by E.T. Whittaker. This book was released on 2020-07-15. Available in PDF, EPUB and Kindle. Book excerpt: Historic text by two great mathematicians consists of two parts, The Processes of Analysis and The Transcendental Functions. Geared toward students of analysis and historians of mathematics. 1920 third edition.

A First Course in Analysis

2012-09-10 Mathematics
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Release : 2012-09-10
Genre : Mathematics
Kind : eBook
Book Rating : 549/5 ( reviews)

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Book Synopsis A First Course in Analysis by : George Pedrick

Download or read book A First Course in Analysis written by George Pedrick. This book was released on 2012-09-10. Available in PDF, EPUB and Kindle. Book excerpt: 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 in Abstract Analysis

2012-10-03 Mathematics
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Release : 2012-10-03
Genre : Mathematics
Kind : eBook
Book Rating : 832/5 ( reviews)

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Book Synopsis A Course in Abstract Analysis by : John B. Conway

Download or read book A Course in Abstract Analysis written by John B. Conway. This book was released on 2012-10-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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