Foundations of Real and Abstract Analysis

Download Foundations of Real and Abstract Analysis PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780387982397
Total Pages : 302 pages
Book Rating : 4.9/5 (823 download)

DOWNLOAD NOW!


Book Synopsis Foundations of Real and Abstract Analysis by : Douglas S. Bridges

Download or read book Foundations of Real and Abstract Analysis written by Douglas S. Bridges and published by Springer Science & Business Media. This book was released on 1998 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications. Of special interest are the 750 exercises, many with guidelines for their solutions, applications and extensions of the main propositions and theorems, pointers to new branches of the subject, and difficult challenges for the very best students.

Foundations of Real and Abstract Analysis

Download Foundations of Real and Abstract Analysis PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387226206
Total Pages : 322 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!


Book Synopsis Foundations of Real and Abstract Analysis by : Douglas S. Bridges

Download or read book Foundations of Real and Abstract Analysis written by Douglas S. Bridges and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete course on metric, normed, and Hilbert spaces, including many results and exercises seldom found in texts on analysis at this level. The author covers an unusually wide range of material in a clear and concise format, including elementary real analysis, Lebesgue integration on R, and an introduction to functional analysis. The book begins with a fast-paced course on real analysis, followed by an introduction to the Lebesgue integral. This provides a reference for later chapters as well as a preparation for students with only the typical sequence of undergraduate calculus courses as prerequisites. Other features include a chapter introducing functional analysis, the Hahn-Banach theorem and duality, separation theorems, the Baire Category Theorem, the Open Mapping Theorem and their consequences, and unusual applications. Of special interest are the 750 exercises, many with guidelines for their solutions, applications and extensions of the main propositions and theorems, pointers to new branches of the subject, and difficult challenges for the very best students.

Foundations of Abstract Analysis

Download Foundations of Abstract Analysis PDF Online Free

Author :
Publisher :
ISBN 13 : 9781461459637
Total Pages : 764 pages
Book Rating : 4.4/5 (596 download)

DOWNLOAD NOW!


Book Synopsis Foundations of Abstract Analysis by : Springer

Download or read book Foundations of Abstract Analysis written by Springer and published by . This book was released on 2012-11-10 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of Abstract Analysis

Download Foundations of Abstract Analysis PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 9781493943883
Total Pages : 764 pages
Book Rating : 4.9/5 (438 download)

DOWNLOAD NOW!


Book Synopsis Foundations of Abstract Analysis by : Jewgeni H. Dshalalow

Download or read book Foundations of Abstract Analysis written by Jewgeni H. Dshalalow and published by Springer. This book was released on 2016-05-01 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first of a two book series which comprises the expanded second edition of the previously published text Real Analysis, this volume covers topics in point-set topology and measure and integration. Includes examples and figures, and some 580 problems.

Foundations of Mathematical Analysis

Download Foundations of Mathematical Analysis PDF Online Free

Author :
Publisher : Courier Corporation
ISBN 13 : 9780486421742
Total Pages : 452 pages
Book Rating : 4.4/5 (217 download)

DOWNLOAD NOW!


Book Synopsis Foundations of Mathematical Analysis by : Richard Johnsonbaugh

Download or read book Foundations of Mathematical Analysis written by Richard Johnsonbaugh and published by Courier Corporation. This book was released on 2002-01-01 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises. 1981 edition. Includes 34 figures.

Fundamentals of Functional Analysis

Download Fundamentals of Functional Analysis PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 9819930294
Total Pages : 450 pages
Book Rating : 4.8/5 (199 download)

DOWNLOAD NOW!


Book Synopsis Fundamentals of Functional Analysis by : Ammar Khanfer

Download or read book Fundamentals of Functional Analysis written by Ammar Khanfer and published by Springer Nature. This book was released on 2023-12-24 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a comprehensive exploration of functional analysis, covering a wide range of topics. With over 150 solved examples and more than 320 problems, the book is designed to be both motivational and user-friendly for students for senior undergraduate and graduate courses in mathematics, providing clear and thorough explanations of all concepts. The second volume in a three-part series, this book delves into normed spaces, linear functionals, locally convex spaces, Banach spaces, Hilbert spaces, topology of Banach spaces, operators on Banach spaces and geometry of Banach spaces. The text is written in a clear and engaging style, making it ideal for independent study. It offers a valuable source for students seeking a deeper understanding of functional analysis, and provides a solid understanding of the topic.

Measure Theory and Integration

Download Measure Theory and Integration PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 9819928826
Total Pages : 237 pages
Book Rating : 4.8/5 (199 download)

DOWNLOAD NOW!


Book Synopsis Measure Theory and Integration by : Ammar Khanfer

Download or read book Measure Theory and Integration written by Ammar Khanfer and published by Springer Nature. This book was released on 2023-09-08 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains a detailed and thorough exposition of topics in measure theory and integration. With abundant solved examples and more than 200 problems, the book is written in a motivational and student-friendly manner. Targeted to senior undergraduate and graduate courses in mathematics, it provides a detailed and thorough explanation of all the concepts. Suitable for independent study, the book, the first of the three volumes, contains topics on measure theory, measurable functions, Lebesgue integration, Lebesgue spaces, and abstract measure theory.

Fundamentals of Differential Geometry

Download Fundamentals of Differential Geometry PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461205417
Total Pages : 553 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Fundamentals of Differential Geometry by : Serge Lang

Download or read book Fundamentals of Differential Geometry written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas. This new edition includes new chapters, sections, examples, and exercises. From the reviews: "There are many books on the fundamentals of differential geometry, but this one is quite exceptional; this is not surprising for those who know Serge Lang's books." --EMS NEWSLETTER

Mathematical Analysis: A Concise Introduction

Download Mathematical Analysis: A Concise Introduction PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9811221650
Total Pages : 274 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Analysis: A Concise Introduction by : Jiongmin Yong

Download or read book Mathematical Analysis: A Concise Introduction written by Jiongmin Yong and published by World Scientific. This book was released on 2020-12-29 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical analysis serves as a common foundation for many research areas of pure and applied mathematics. It is also an important and powerful tool used in many other fields of science, including physics, chemistry, biology, engineering, finance, and economics. In this book, some basic theories of analysis are presented, including metric spaces and their properties, limit of sequences, continuous function, differentiation, Riemann integral, uniform convergence, and series.After going through a sequence of courses on basic calculus and linear algebra, it is desirable for one to spend a reasonable length of time (ideally, say, one semester) to build an advanced base of analysis sufficient for getting into various research fields other than analysis itself, and/or stepping into more advanced levels of analysis courses (such as real analysis, complex analysis, differential equations, functional analysis, stochastic analysis, amongst others). This book is written to meet such a demand. Readers will find the treatment of the material is as concise as possible, but still maintaining all the necessary details.

Advanced Linear Algebra

Download Advanced Linear Algebra PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0387728317
Total Pages : 525 pages
Book Rating : 4.3/5 (877 download)

DOWNLOAD NOW!


Book Synopsis Advanced Linear Algebra by : Steven Roman

Download or read book Advanced Linear Algebra written by Steven Roman and published by Springer Science & Business Media. This book was released on 2007-09-20 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate level textbook covers an especially broad range of topics. The book first offers a careful discussion of the basics of linear algebra. It then proceeds to a discussion of modules, emphasizing a comparison with vector spaces, and presents a thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory, culminating in the finite dimensional spectral theorem for normal operators. The new edition has been revised and contains a chapter on the QR decomposition, singular values and pseudoinverses, and a chapter on convexity, separation and positive solutions to linear systems.

A Course in Computational Algebraic Number Theory

Download A Course in Computational Algebraic Number Theory PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9783540556404
Total Pages : 580 pages
Book Rating : 4.5/5 (564 download)

DOWNLOAD NOW!


Book Synopsis A Course in Computational Algebraic Number Theory by : Henri Cohen

Download or read book A Course in Computational Algebraic Number Theory written by Henri Cohen and published by Springer Science & Business Media. This book was released on 2000-08-01 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

Introduction to Elliptic Curves and Modular Forms

Download Introduction to Elliptic Curves and Modular Forms PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461209099
Total Pages : 262 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Introduction to Elliptic Curves and Modular Forms by : Neal I. Koblitz

Download or read book Introduction to Elliptic Curves and Modular Forms written by Neal I. Koblitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. This new edition details the current state of knowledge of elliptic curves.

Modular Functions and Dirichlet Series in Number Theory

Download Modular Functions and Dirichlet Series in Number Theory PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461209994
Total Pages : 218 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Modular Functions and Dirichlet Series in Number Theory by : Tom M. Apostol

Download or read book Modular Functions and Dirichlet Series in Number Theory written by Tom M. Apostol and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a classical treatment of elliptic and modular functions with some of their number-theoretic applications, this text offers an updated bibliography and an alternative treatment of the transformation formula for the Dedekind eta function. It covers many topics, such as Hecke’s theory of entire forms with multiplicative Fourier coefficients, and the last chapter recounts Bohr’s theory of equivalence of general Dirichlet series.

Introduction to Topological Manifolds

Download Introduction to Topological Manifolds PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 038722727X
Total Pages : 395 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!


Book Synopsis Introduction to Topological Manifolds by : John M. Lee

Download or read book Introduction to Topological Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.

The Symmetric Group

Download The Symmetric Group PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475768044
Total Pages : 254 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!


Book Synopsis The Symmetric Group by : Bruce E. Sagan

Download or read book The Symmetric Group written by Bruce E. Sagan and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH

A First Course in Noncommutative Rings

Download A First Course in Noncommutative Rings PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780387953250
Total Pages : 412 pages
Book Rating : 4.9/5 (532 download)

DOWNLOAD NOW!


Book Synopsis A First Course in Noncommutative Rings by : Tsit-Yuen Lam

Download or read book A First Course in Noncommutative Rings written by Tsit-Yuen Lam and published by Springer Science & Business Media. This book was released on 2001-06-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the understanding of the general theory in the text are included in this new edition.

Basic Homological Algebra

Download Basic Homological Algebra PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9780387989341
Total Pages : 414 pages
Book Rating : 4.9/5 (893 download)

DOWNLOAD NOW!


Book Synopsis Basic Homological Algebra by : M. Scott Osborne

Download or read book Basic Homological Algebra written by M. Scott Osborne and published by Springer Science & Business Media. This book was released on 2000-05-19 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. [...] I especially appreciated the lively style of the book; [...] one is quickly able to find necessary details." EMS Newsletter