A Course Of Analysis
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A Course Of Analysis
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Author : E. G. Phillips
language : en
Publisher: Cambridge University Press
Release Date : 1939
A Course Of Analysis written by E. G. Phillips 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 1939 with Mathematics categories.
Originally published in 1962, this book covers all of the cornerstones of complex mathematical analyses. Chapters include, 'Bounds and limits of sequences', 'Integral calculus' and 'Functions of more than one variable'. Multiple examples are included at the end of every chapter to support and illustrate the fundamental concepts.
A Course Of Analysis
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Author : Edgar Giraldus Phillips
language : en
Publisher:
Release Date : 1944
A Course Of Analysis written by Edgar Giraldus Phillips and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1944 with Calculus categories.
A Course Of Analysis
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Author : Edgar G. Phillips
language : en
Publisher:
Release Date : 1946
A Course Of Analysis written by Edgar G. Phillips and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1946 with categories.
Catalogue
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Author : University of Michigan
language : en
Publisher:
Release Date : 1898
Catalogue written by University of Michigan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Detroit (Mich.) categories.
Announcements for the following year included in some vols.
A Course In Analysis
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Author : Niels Jacob
language : en
Publisher: World Scientific Publishing Company
Release Date : 2016
A Course In Analysis written by Niels Jacob and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Calculus categories.
Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail before functions and their basic properties are handled. From this the authors move to differential and integral calculus. Many examples are discussed. Proofs not depending on a deeper understanding of the completeness of the real numbers are provided. As a typical calculus module, this part is thought as an interface from school to university analysis. Part 2 returns to the structure of the real numbers, most of all to the problem of their completeness which is discussed in great depth. Once the completeness of the real line is settled the authors revisit the main results of Part 1 and provide complete proofs. Moreover they develop differential and integral calculus on a rigorous basis much further by discussing uniform convergence and the interchanging of limits, infinite series (including Taylor series) and infinite products, improper integrals and the gamma function. In addition they discussed in more detail as usual monotone and convex functions. Finally, the authors supply a number of Appendices, among them Appendices on basic mathematical logic, more on set theory, the Peano axioms and mathematical induction, and on further discussions of the completeness of the real numbers. Remarkably, Volume I contains ca. 360 problems with complete, detailed solutions.
A First Course In Real Analysis
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Author : M.H. Protter
language : en
Publisher: Springer
Release Date : 1977-05-01
A First Course In Real Analysis written by M.H. Protter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-05-01 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 Course In Mathematical Analysis Volume 1 Foundations And Elementary Real Analysis
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Author : D. J. H. Garling
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-25
A Course In Mathematical Analysis Volume 1 Foundations And Elementary Real Analysis written by D. J. H. Garling 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 2013-04-25 with Mathematics categories.
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 II goes on to consider metric and topological spaces and functions of several variables. Volume III covers complex analysis and the theory of measure and integration.
A Select Course In Qualitative Analysis
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Author : Henry Adam Weber
language : en
Publisher:
Release Date : 1880
A Select Course In Qualitative Analysis written by Henry Adam Weber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1880 with Analytical chemistry categories.
A Course In Mathematical Analysis
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Author : D. J. H. Garling
language : en
Publisher:
Release Date : 2013
A Course In Mathematical Analysis written by D. J. H. Garling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
A Course In Mathematical Analysis
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Author : D. J. H. Garling
language : en
Publisher:
Release Date : 2013
A Course In Mathematical Analysis written by D. J. H. Garling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Electronic book categories.
The first volume of three providing a full and detailed account of undergraduate mathematical analysis.