Elementary Real Analysis, Second Edition

Author: Brian S. Thomson,Judith B. Bruckner,Andrew M. Bruckner

Publisher: ClassicalRealAnalysis.com

ISBN: 143484367X

Category: Mathematics

Page: 638

View: 1565

This is the second edition of the text Elementary Real Analysis originally published by Prentice Hall (Pearson) in 2001.Chapter 1. Real NumbersChapter 2. SequencesChapter 3. Infinite sumsChapter 4. Sets of real numbersChapter 5. Continuous functionsChapter 6. More on continuous functions and setsChapter 7. Differentiation Chapter 8. The IntegralChapter 9. Sequences and series of functionsChapter 10. Power seriesChapter 11. Euclidean Space R^nChapter 12. Differentiation on R^nChapter 13. Metric Spaces

Elementary real analysis

Author: Kenneth W. Anderson,Dick Wick Hall

Publisher: McGraw-Hill Companies


Category: Mathematics

Page: 178

View: 674

Elementary Mathematical Analysis

Author: John Wesley Young,Frank Millett Morgan

Publisher: Sagwan Press

ISBN: 9781376446647

Category: Juvenile Nonfiction

Page: 580

View: 9471

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Elementary Real Analysis

Author: H. G. Eggleston

Publisher: Cambridge University Press

ISBN: 9780521098687

Category: Mathematics

Page: 296

View: 4978

This textbook covers all the theoretical aspects of real variable analysis which undergraduates reading mathematics are likely to require during the first two or three years of their course. It is based on lecture courses which the author has given in the universities of Wales, Cambridge and London. The subject is presented rigorously and without padding. Definitions are stated explicitly and the whole development of the subject is logical and self-contained. Complex numbers are used but the complex variable calculus is not. 'Applied analysis', such as differential equations and Fourier series, is not dealt with. A large number of examples is included, with hints for the solution of many of them. These will be of particular value to students working on their own.

A Course in Mathematical Analysis: Volume 1, Foundations and Elementary Real Analysis

Author: D. J. H. Garling

Publisher: Cambridge University Press

ISBN: 1107311381

Category: Mathematics

Page: N.A

View: 7628

The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and instructors. This first volume focuses on the analysis of real-valued functions of a real variable. Besides developing the basic theory it describes many applications, including a chapter on Fourier series. It also includes a Prologue in which the author introduces the axioms of set theory and uses them to construct the real number system. Volume 2 goes on to consider metric and topological spaces and functions of several variables. Volume 3 covers complex analysis and the theory of measure and integration.

Real Mathematical Analysis

Author: Charles Chapman Pugh

Publisher: Springer Science & Business Media

ISBN: 0387216847

Category: Mathematics

Page: 440

View: 6621

Was plane geometry your favourite math course in high school? Did you like proving theorems? Are you sick of memorising integrals? If so, real analysis could be your cup of tea. In contrast to calculus and elementary algebra, it involves neither formula manipulation nor applications to other fields of science. None. It is Pure Mathematics, and it is sure to appeal to the budding pure mathematician. In this new introduction to undergraduate real analysis the author takes a different approach from past studies of the subject, by stressing the importance of pictures in mathematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians like Dieudonne, Littlewood and Osserman. The author has taught the subject many times over the last 35 years at Berkeley and this book is based on the honours version of this course. The book contains an excellent selection of more than 500 exercises.

Elementary Real and Complex Analysis

Author: Georgi E. Shilov

Publisher: Courier Corporation

ISBN: 0486135004

Category: Mathematics

Page: 544

View: 6602

DIVExcellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition. /div

Elementary Real Analysis

Author: Brian S. Thomson,Judith B. Bruckner,Andrew M. Bruckner

Publisher: ClassicalRealAnalysis.com

ISBN: 0130190756

Category: Mathematics

Page: 735

View: 9211

Elementary Real Analysis is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the “big picture” and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. Covers metric spaces. Ideal for readers interested in mathematics, particularly in advanced calculus and real analysis.

Lecture Notes in Elementary Real Analysis

Author: Rohan Dalpatadu

Publisher: Trafford Publishing

ISBN: 1490764712

Category: Mathematics

Page: 244

View: 5669

Elementary Real Analysis is a vital component of every Bachelors degree in Mathematics and Statistics. This book provides a somewhat detailed introduction to the subject. It may be used in an Introductory Real Analysis course as a main text or reference.

Limits, Limits Everywhere

The Tools of Mathematical Analysis

Author: David Applebaum

Publisher: Oxford University Press

ISBN: 0199640084

Category: Mathematics

Page: 200

View: 7610

An account of elementary real analysis positioned between a popular mathematics book and a first year college or university text. This book doesn't assume knowledge of calculus and, instead, the emphasis is on the application of analysis to number theory.

Elements of Real Analysis

Author: Charles G. Denlinger

Publisher: Jones & Bartlett Learning

ISBN: 0763779474

Category: Mathematics

Page: 739

View: 1548

Elementary Real Analysis is a core course in nearly all mathematics departments throughout the world. It enables students to develop a deep understanding of the key concepts of calculus from a mature perspective. Elements of Real Analysis is a student-friendly guide to learning all the important ideas of elementary real analysis, based on the author's many years of experience teaching the subject to typical undergraduate mathematics majors. It avoids the compact style of professional mathematics writing, in favor of a style that feels more comfortable to students encountering the subject for the first time. It presents topics in ways that are most easily understood, yet does not sacrifice rigor or coverage. In using this book, students discover that real analysis is completely deducible from the axioms of the real number system. They learn the powerful techniques of limits of sequences as the primary entry to the concepts of analysis, and see the ubiquitous role sequences play in virtually all later topics. They become comfortable with topological ideas, and see how these concepts help unify the subject. Students encounter many interesting examples, including "pathological" ones, that motivate the subject and help fix the concepts. They develop a unified understanding of limits, continuity, differentiability, Riemann integrability, and infinite series of numbers and functions.