A First Course In Mathematical Analysis

Author : Dorairaj Somasundaram
Publisher :
ISBN 13 : 9788173190643
Total Pages : 616 pages
Book Rating : 4.4X/5 ( download)

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Download or read book A First Course in Mathematical Analysis written by Dorairaj Somasundaram and published by . This book was released on 1996-01-30 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intends to serve as a textbook in Real Analysis at the Advanced Calculus level. This book includes topics like Field of real numbers, Foundation of calculus, Compactness, Connectedness, Riemann integration, Fourier series, Calculus of several variables and Multiple integrals are presented systematically with diagrams and illustrations.

Author : M.H. Protter
Publisher : Springer Science & Business Media
ISBN 13 : 1461599903
Total Pages : 520 pages
Book Rating : 4.06/5 ( download)

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Download or read book A First Course in Real Analysis written by M.H. Protter and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : John B. Conway
Publisher : Cambridge University Press
ISBN 13 : 1107173140
Total Pages : 357 pages
Book Rating : 4.49/5 ( download)

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Download or read book A First Course in Analysis written by John B. Conway and published by Cambridge University Press. This book was released on 2018 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise text clearly presents the material needed for year-long analysis courses for advanced undergraduates or beginning graduates.

Author : J. C. Burkill
Publisher : Cambridge University Press
ISBN 13 : 9780521523431
Total Pages : 536 pages
Book Rating : 4.35/5 ( download)

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Download or read book A Second Course in Mathematical Analysis written by J. C. Burkill and published by Cambridge University Press. This book was released on 2002-10-24 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic calculus text reissued in the Cambridge Mathematical Library. Clear and logical, with many examples.

Author : Richard Johnsonbaugh
Publisher : Courier Corporation
ISBN 13 : 0486134776
Total Pages : 450 pages
Book Rating : 4.72/5 ( download)

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Download or read book Foundations of Mathematical Analysis written by Richard Johnsonbaugh and published by Courier Corporation. This book was released on 2012-09-11 with total page 450 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; some hints and solutions. 1981 edition.

Author : David Alexander Brannan
Publisher : Cambridge University Press
ISBN 13 : 1139458957
Total Pages : 103 pages
Book Rating : 4.55/5 ( download)

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Download or read book A First Course in Mathematical Analysis written by David Alexander Brannan and published by Cambridge University Press. This book was released on 2006-08-17 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Analysis (often called Advanced Calculus) is generally found by students to be one of their hardest courses in Mathematics. This text uses the so-called sequential approach to continuity, differentiability and integration to make it easier to understand the subject.Topics that are generally glossed over in the standard Calculus courses are given careful study here. For example, what exactly is a 'continuous' function? And how exactly can one give a careful definition of 'integral'? The latter question is often one of the mysterious points in a Calculus course - and it is quite difficult to give a rigorous treatment of integration! The text has a large number of diagrams and helpful margin notes; and uses many graded examples and exercises, often with complete solutions, to guide students through the tricky points. It is suitable for self-study or use in parallel with a standard university course on the subject.

Author : D. J. H. Garling
Publisher : Cambridge University Press
ISBN 13 : 1107355427
Total Pages : 335 pages
Book Rating : 4.22/5 ( download)

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Download or read book A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable written by D. J. H. Garling and published by Cambridge University Press. This book was released on 2014-01-23 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 teachers. Volume 1 focuses on the analysis of real-valued functions of a real variable. This second volume goes on to consider metric and topological spaces. Topics such as completeness, compactness and connectedness are developed, with emphasis on their applications to analysis. This leads to the theory of functions of several variables. Differential manifolds in Euclidean space are introduced in a final chapter, which includes an account of Lagrange multipliers and a detailed proof of the divergence theorem. Volume 3 covers complex analysis and the theory of measure and integration.

Author : Andrew Browder
Publisher : Springer Science & Business Media
ISBN 13 : 1461207150
Total Pages : 348 pages
Book Rating : 4.53/5 ( download)

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Download or read book Mathematical Analysis written by Andrew Browder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.

Author : George Pedrick
Publisher : Springer Science & Business Media
ISBN 13 : 1441985549
Total Pages : 293 pages
Book Rating : 4.45/5 ( download)

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Download or read book A First Course in Analysis written by George Pedrick and published by Springer Science & Business Media. This book was released on 2012-09-10 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Patrick Fitzpatrick
Publisher : American Mathematical Soc.
ISBN 13 : 0821847910
Total Pages : 610 pages
Book Rating : 4.16/5 ( download)

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Download or read book Advanced Calculus written by Patrick Fitzpatrick and published by American Mathematical Soc.. This book was released on 2009 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Advanced Calculus is intended as a text for courses that furnish the backbone of the student's undergraduate education in mathematical analysis. The goal is to rigorously present the fundamental concepts within the context of illuminating examples and stimulating exercises. This book is self-contained and starts with the creation of basic tools using the completeness axiom. The continuity, differentiability, integrability, and power series representation properties of functions of a single variable are established. The next few chapters describe the topological and metric properties of Euclidean space. These are the basis of a rigorous treatment of differential calculus (including the Implicit Function Theorem and Lagrange Multipliers) for mappings between Euclidean spaces and integration for functions of several real variables."--pub. desc.