Advanced Real Analysis

Advanced Real Analysis PDF Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817644423
Category : Mathematics
Languages : en
Pages : 466

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Book Description
* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician

Advanced Real Analysis

Advanced Real Analysis PDF Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817644423
Category : Mathematics
Languages : en
Pages : 466

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Book Description
* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician

Basic Real Analysis

Basic Real Analysis PDF Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817644415
Category : Mathematics
Languages : en
Pages : 656

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Book Description
Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

A Guide to Advanced Real Analysis

A Guide to Advanced Real Analysis PDF Author: G. B. Folland
Publisher: American Mathematical Soc.
ISBN: 0883859157
Category : Education
Languages : en
Pages : 107

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Book Description
A concise guide to the core material in a graduate level real analysis course.

Advanced Analysis

Advanced Analysis PDF Author: R. Kannan
Publisher: Springer Science & Business Media
ISBN: 1461384745
Category : Mathematics
Languages : en
Pages : 270

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Book Description
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Problems in Real Analysis

Problems in Real Analysis PDF Author: Teodora-Liliana Radulescu
Publisher: Springer Science & Business Media
ISBN: 0387773797
Category : Mathematics
Languages : en
Pages : 452

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Book Description
Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis.

Advanced Calculus

Advanced Calculus PDF Author: G. B. Folland
Publisher: Pearson
ISBN: 9780130652652
Category : Calcul infinitésimal
Languages : en
Pages : 0

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Book Description
For undergraduate courses in Advanced Calculus and Real Analysis. This text presents a unified view of calculus in which theory and practice reinforce each other. It covers the theory and applications of derivatives (mostly partial), integrals, (mostly multiple or improper), and infinite series (mostly of functions rather than of numbers), at a deeper level than is found in the standard advanced calculus books.

Topology of Metric Spaces

Topology of Metric Spaces PDF Author: S. Kumaresan
Publisher: Alpha Science Int'l Ltd.
ISBN: 9781842652503
Category : Computers
Languages : en
Pages : 172

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Book Description
"Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis." "Eminently suitable for self-study, this book may also be used as a supplementary text for courses in general (or point-set) topology so that students will acquire a lot of concrete examples of spaces and maps."--BOOK JACKET.

Real Analysis

Real Analysis PDF Author: N. L. Carothers
Publisher: Cambridge University Press
ISBN: 9780521497565
Category : Mathematics
Languages : en
Pages : 420

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Book Description
A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.

Real Analysis

Real Analysis PDF Author: Gerald B. Folland
Publisher: John Wiley & Sons
ISBN: 1118626397
Category : Mathematics
Languages : en
Pages : 309

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Book Description
An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension.

Probability

Probability PDF Author: Rick Durrett
Publisher: Cambridge University Press
ISBN: 113949113X
Category : Mathematics
Languages : en
Pages :

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Book Description
This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.