A First Course In Real Analysis I
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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 I
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Author : Dr Sathisha A B
language : en
Publisher: Blue Rose Publishers
Release Date : 2022-11-17
A First Course In Real Analysis I written by Dr Sathisha A B and has been published by Blue Rose Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-17 with Education categories.
This book is suitable for undergraduate and post graduate students ofn pure and applied mathematics. An attempt has been made to present detailed information of basic topics in Real analysis in a simple way so that it is easily understandable to the users. The book is designed as a self–contained comprehensive text. Each topic is treated in a systematic manner. The book focuses on a Real number system, the sequence of real numbers, the series of real numbers, limits and continuity, differentiation and means value theorems. A large number of theorems and related problems are included for a better understanding of the concepts. It also includes exercise problems at the end of every chapter. The book is useful for students, faculty and those who are actively involved in Research in the areas requiring basic knowledge of Real Analysis.
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 : 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 : 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 theway, (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 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.
A First Course In Real Analysis
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Author : Murray H. Proptter
language : en
Publisher:
Release Date : 1977-05-01
A First Course In Real Analysis written by Murray H. Proptter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-05-01 with categories.
A First Course In Complex Analysis With Applications
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Author : Dennis Zill
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2009
A First Course In Complex Analysis With Applications written by Dennis Zill and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.
A First Course In Real Analysis
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Author : Sterling K. Berberian
language : en
Publisher:
Release Date : 1997-05-01
A First Course In Real Analysis written by Sterling K. Berberian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-01 with categories.
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.
The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu lum, presents special pedagogical challenges. There is a change of stress from computational manipulation to "proof. " Indeed, the course can become more a course in Logic than one in Analysis. Many students, caught short by a weak command of the means of mathematical discourse and unsure of what is expected of them, what "the game" is, suffer bouts of a kind of mental paralysis. This text attempts to address these problems in several ways: First, we have attempted to define "the game" as that of "inquiry," by using a form of exposition that begins with a question and proceeds to analyze, ultimately to answer it, bringing in definitions, arguments, conjectures, exam ples, etc. , as they arise naturally in the course of a narrative discussion of the question. (The true, historical narrative is too convoluted to serve for first explanations, so no attempt at historical accuracy has been made; our narra tives are completely contrived. ) Second, we have kept the logic informal, especially in the course of preliminary speculative discussions, where common sense and plausibility tempered by mild skepticism-serve to energize the inquiry.