A First Course In Real Analysis
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A First Course In Real Analysis
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Author : M.H. Protter
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A First Course In Real Analysis written by M.H. Protter 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 2012-12-06 with Mathematics categories.
The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading impression of what mathematics is all about; on the other hand the current approach, with its emphasis on theory, gives the student insight in the fundamentals of analysis. In A First Course in Real Analysis we present a theoretical basis of analysis which is suitable for students who have just completed a course in elementary calculus. Since the sixteen chapters contain more than enough analysis for a one year course, the instructor teaching a one or two quarter or a one semester junior level course should easily find those topics which he or she thinks students should have. The first Chapter, on the real number system, serves two purposes. Because most students entering this course have had no experience in devising proofs of theorems, it provides an opportunity to develop facility in theorem proving. Although the elementary processes of numbers are familiar to most students, greater understanding of these processes is acquired by those who work the problems in Chapter 1. As a second purpose, we provide, for those instructors who wish to give a comprehen sive course in analysis, a fairly complete treatment of the real number system including a section on mathematical induction.
A First Course In Real Analysis
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Author : Murray H. Protter
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-14
A First Course In Real Analysis written by Murray H. Protter 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 2012-11-14 with Mathematics categories.
Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.
A First Course In Real Analysis
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Author : E.R. Suryanarayan
language : en
Publisher: Universities Press
Release Date : 2003
A First Course In Real Analysis written by E.R. Suryanarayan and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematical analysis categories.
A First Course In Real Analysis
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Author : Sterling K. Berberian
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-10
A First Course In Real Analysis written by Sterling K. Berberian 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.
Mathematics is the music of science, and real analysis is the Bach of mathematics. There are many other foolish things I could say about the subject of this book, but the foregoing will give the reader an idea of where my heart lies. The present book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done.
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.
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 First Course In Real Analysis
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Author : Murray H. Protter
language : en
Publisher:
Release Date : 1977
A First Course In Real Analysis written by Murray H. Protter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematical analysis categories.
This book is designed for a first course in real analysis which follows the standard course in elementary calculus. Since many students encounter rigorous mathematical theory for the first time in this course, the authors include such elementary topics as the axioms of algebra and their immediate consequences and proofs of theorems on limits. The pace is deliberately slow, the proofs are detailed. The emphasis of the presentation is on theory, but the books also contains a full treatment (with many illustrative examples and exercises) of the standard topics in infinite series, Fourier series, multidimensional calculus, elements of metric spaces, and vector field theory. There are many problems which require the student to learn techniques of proofs and the standard tools of analysis. -- Back cover.
Real Mathematical Analysis
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Author : Charles Chapman Pugh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-19
Real Mathematical Analysis written by Charles Chapman Pugh 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 2013-03-19 with Mathematics categories.
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.
Real Analysis
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Author : Russell A. Gordon
language : en
Publisher: Pearson
Release Date : 2002
Real Analysis written by Russell A. Gordon and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This text presents ideas of elementary real analysis, with chapters on real numbers, sequences, limits and continuity, differentiation, integration, infinite series, sequences and series of functions, and point-set topology. Appendices review essential ideas of mathematical logic, sets and functions, and mathematical induction. Students are required to confront formal proofs. Some background in calculus or linear or abstract algebra is assumed. This second edition adds material on functions of bounded variation, convex functions, numerical methods of integration, and metric spaces. There are 1,600 exercises in this edition, an addition of some 120 pages. c. Book News Inc.
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.