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Elements Of Real Anyalsis

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Elements Of Real Anyalsis

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Author : M.D.Raisinghania
language : en
Publisher: S. Chand Publishing
Release Date : 2003-06-01

Elements Of Real Anyalsis written by M.D.Raisinghania and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-01 with Mathematics categories.

This book is an attempt to make presentation of Elements of Real Analysis more lucid. The book contains examples and exercises meant to help a proper understanding of the text. For B.A., B.Sc. and Honours (Mathematics and Physics), M.A. and M.Sc. (Mathematics) students of various Universities/ Institutions.As per UGC Model Curriculum and for I.A.S. and Various other competitive exams.

Basic Elements Of Real Analysis

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Author : Murray H. Protter
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-29

Basic Elements Of 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 2006-03-29 with Mathematics categories.

From the author of the highly-acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one-semester course in real analysis. Many students of mathematics and the physical and computer sciences need a text that presents the most important material in a brief and elementary fashion. The author meets this need with such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed, backed by illustrative examples throughout and no less than 45 figures.

Elements Of Real Analysis

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Author : M.A. Al-Gwaiz
language : en
Publisher: CRC Press
Release Date : 2006-08-21

Elements Of Real Analysis written by M.A. Al-Gwaiz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-21 with Mathematics categories.

Focusing on one of the main pillars of mathematics, Elements of Real Analysis provides a solid foundation in analysis, stressing the importance of two elements. The first building block comprises analytical skills and structures needed for handling the basic notions of limits and continuity in a simple concrete setting while the second component involves conducting analysis in higher dimensions and more abstract spaces. Largely self-contained, the book begins with the fundamental axioms of the real number system and gradually develops the core of real analysis. The first few chapters present the essentials needed for analysis, including the concepts of sets, relations, and functions. The following chapters cover the theory of calculus on the real line, exploring limits, convergence tests, several functions such as monotonic and continuous, power series, and theorems like mean value, Taylor's, and Darboux's. The final chapters focus on more advanced theory, in particular, the Lebesgue theory of measure and integration. Requiring only basic knowledge of elementary calculus, this textbook presents the necessary material for a first course in real analysis. Developed by experts who teach such courses, it is ideal for undergraduate students in mathematics and related disciplines, such as engineering, statistics, computer science, and physics, to understand the foundations of real analysis.

Elements Of Real Analysis

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Author : David A. Sprecher
language : en
Publisher: Courier Corporation
Release Date : 2012-04-25

Elements Of Real Analysis written by David A. Sprecher and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-25 with Mathematics categories.

Classic text explores intermediate steps between basics of calculus and ultimate stage of mathematics — abstraction and generalization. Covers fundamental concepts, real number system, point sets, functions of a real variable, Fourier series, more. Over 500 exercises.

Elements Of Real Analysis

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Author : Herbert S. Gaskill
language : en
Publisher: Upper Saddle River, NJ : Prentice Hall
Release Date : 1998

Elements Of Real Analysis written by Herbert S. Gaskill and has been published by Upper Saddle River, NJ : Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

Comprehensive in coverage, this book explores the principles of logic, the axioms for the real numbers, limits of sequences, limits of functions, differentiation and integration, infinite series, convergence, and uniform convergence for sequences of real-valued functions. Concepts are presented slowly and include the details of calculations as well as substantial explanations as to how and why one proceeds in the given manner.Uses the words WHY? and HOW? throughout; inviting readers to become active participants and to supply a missing argument or a simple calculation. Contains more than 1000 individual exercises. Stresses and reviews elementary algebra and symbol manipulation as essential tools for success at the kind of computations required in dealing with limiting processes.

Elements Of Real Analysis

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Author : Charles Denlinger
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2011

Elements Of Real Analysis written by Charles Denlinger 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 2011 with Mathematics categories.

A student-friendly guide to learning all the important ideas of elementary real analysis, this resource is based on the author's many years of experience teaching the subject to typical undergraduate mathematics majors.

Elements Of Real Analysis

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Author : Charles G. Denlinger
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2010-05-08

Elements Of Real Analysis written by Charles G. Denlinger and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-08 with Mathematics categories.

Elementary Real Analysis is a core course in nearly all mathematics departments throughout the world. It enables students to develop a deep understanding of the key concepts of calculus from a mature perspective. Elements of Real Analysis is a student-friendly guide to learning all the important ideas of elementary real analysis, based on the author's many years of experience teaching the subject to typical undergraduate mathematics majors. It avoids the compact style of professional mathematics writing, in favor of a style that feels more comfortable to students encountering the subject for the first time. It presents topics in ways that are most easily understood, yet does not sacrifice rigor or coverage. In using this book, students discover that real analysis is completely deducible from the axioms of the real number system. They learn the powerful techniques of limits of sequences as the primary entry to the concepts of analysis, and see the ubiquitous role sequences play in virtually all later topics. They become comfortable with topological ideas, and see how these concepts help unify the subject. Students encounter many interesting examples, including "pathological" ones, that motivate the subject and help fix the concepts. They develop a unified understanding of limits, continuity, differentiability, Riemann integrability, and infinite series of numbers and functions.

Elements Of Real Anyalsis

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