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Author: Rao, Venkateswara V., Murthy, Krishna N., Sarma B.V.S.S., Sastry Anjaneya S. & Ranganatham S.
Publisher: S. Chand Publishing
Published:
Total Pages: 396
ISBN-13: 9352830377
DOWNLOAD EBOOKA Textbook of B.Sc. Mathematics
Author: V Venkateswara Rao, N Krishnamurthy, B V S S Sarma S Anjaneya Sastry & S Ranganatham
Publisher: S. Chand Publishing
Published:
Total Pages: 384
ISBN-13: 9352836278
DOWNLOAD EBOOKThis book has been thoroughly revised according to the syllabus of 1st year's 2nd semester students of all universities in Andhra Pradesh. The revised syllabus is being adopted by all the universities in Andhra Pradesh, following Common Core Syllabus 2015-16 (revised in 2016) based on CBCS. This book strictly covers the new curriculum for 1st year, 2nd semester of the theory as well as practical.
Author: Halsey Royden
Publisher: Pearson Modern Classics for Advanced Mathematics Series
Published: 2017-02-13
Total Pages: 0
ISBN-13: 9780134689494
DOWNLOAD EBOOKThis text is designed for graduate-level courses in real analysis. Real Analysis, 4th Edition, covers the basic material that every graduate student should know in the classical theory of functions of a real variable, measure and integration theory, and some of the more important and elementary topics in general topology and normed linear space theory. This text assumes a general background in undergraduate mathematics and familiarity with the material covered in an undergraduate course on the fundamental concepts of analysis.
Author: Asuman G. Aksoy
Publisher: Springer Science & Business Media
Published: 2010-03-10
Total Pages: 257
ISBN-13: 1441912967
DOWNLOAD EBOOKEducation is an admirable thing, but it is well to remember from time to time that nothing worth knowing can be taught. Oscar Wilde, “The Critic as Artist,” 1890. Analysis is a profound subject; it is neither easy to understand nor summarize. However, Real Analysis can be discovered by solving problems. This book aims to give independent students the opportunity to discover Real Analysis by themselves through problem solving. ThedepthandcomplexityofthetheoryofAnalysiscanbeappreciatedbytakingaglimpseatits developmental history. Although Analysis was conceived in the 17th century during the Scienti?c Revolution, it has taken nearly two hundred years to establish its theoretical basis. Kepler, Galileo, Descartes, Fermat, Newton and Leibniz were among those who contributed to its genesis. Deep conceptual changes in Analysis were brought about in the 19th century by Cauchy and Weierstrass. Furthermore, modern concepts such as open and closed sets were introduced in the 1900s. Today nearly every undergraduate mathematics program requires at least one semester of Real Analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of this book is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, we hope that learning analysis becomes less taxing and thereby more satisfying.
Author: Charles Chapman Pugh
Publisher: Springer Science & Business Media
Published: 2013-03-19
Total Pages: 445
ISBN-13: 0387216847
DOWNLOAD EBOOKWas 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.
Author: William F. Trench
Publisher: Prentice Hall
Published: 2003
Total Pages: 0
ISBN-13: 9780130457868
DOWNLOAD EBOOKUsing an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
Published: 2007-10-04
Total Pages: 671
ISBN-13: 0817644415
DOWNLOAD EBOOKSystematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.
Author: Robert G. Bartle
Publisher:
Published: 2006
Total Pages: 0
ISBN-13: 9780470088265
DOWNLOAD EBOOKAuthor: V Venkateswara Rao, N Krishnamurthy, B V S S Sarma, S Anjaneya Sastry & S Ranganatham
Publisher: S. Chand Publishing
Published:
Total Pages: 456
ISBN-13: 9352836286
DOWNLOAD EBOOKThis book has been thoroughly revised according to the syllabus of Semester-IV (2nd year's 2nd semester) students of all universities of Andhra Pradesh. The revised syllabus is being adopted by all the universities in Andhra Pradesh, following Common Core Syllabus 2015-16 (revised in 2016) based on CBCS. This book strictly covers the new curriculum for 2nd year's 2nd semester of the theory as well as practical.
Author: Ajit Kumar
Publisher: CRC Press
Published: 2014-01-10
Total Pages: 320
ISBN-13: 1482216388
DOWNLOAD EBOOKBased on the authors’ combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand the underlying principles, and coming up with guesses or conjectures and then proving them rigorously based on his or her explorations. With more than 100 pictures, the book creates interest in real analysis by encouraging students to think geometrically. Each difficult proof is prefaced by a strategy and explanation of how the strategy is translated into rigorous and precise proofs. The authors then explain the mystery and role of inequalities in analysis to train students to arrive at estimates that will be useful for proofs. They highlight the role of the least upper bound property of real numbers, which underlies all crucial results in real analysis. In addition, the book demonstrates analysis as a qualitative as well as quantitative study of functions, exposing students to arguments that fall under hard analysis. Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this book explains the hows and whys of real analysis and provides guidance that makes readers think at every stage.
