Author: M.D.Raisinghania
Publisher: S. Chand Publishing
ISBN: 8121903068
Category : Mathematics
Languages : en
Pages : 312
Book Description
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.
Elements of Real Anyalsis
Author: M.D.Raisinghania
Publisher: S. Chand Publishing
ISBN: 8121903068
Category : Mathematics
Languages : en
Pages : 312
Book Description
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.
Publisher: S. Chand Publishing
ISBN: 8121903068
Category : Mathematics
Languages : en
Pages : 312
Book Description
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.
Elements of Real Analysis
Author: Charles Denlinger
Publisher: Jones & Bartlett Learning
ISBN: 0763779474
Category : Mathematics
Languages : en
Pages : 769
Book Description
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.
Publisher: Jones & Bartlett Learning
ISBN: 0763779474
Category : Mathematics
Languages : en
Pages : 769
Book Description
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
Author: Charles G. Denlinger
Publisher: Jones & Bartlett Publishers
ISBN: 1449659934
Category : Mathematics
Languages : en
Pages : 769
Book Description
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.
Publisher: Jones & Bartlett Publishers
ISBN: 1449659934
Category : Mathematics
Languages : en
Pages : 769
Book Description
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 Analysis
Author: M.A. Al-Gwaiz
Publisher: CRC Press
ISBN: 1584886617
Category : Mathematics
Languages : en
Pages : 452
Book Description
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.
Publisher: CRC Press
ISBN: 1584886617
Category : Mathematics
Languages : en
Pages : 452
Book Description
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
Author: Shanti Narayan
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 205
Book Description
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 205
Book Description
Elements of Real Analysis
Author: David A. Sprecher
Publisher: Courier Corporation
ISBN: 0486153258
Category : Mathematics
Languages : en
Pages : 357
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486153258
Category : Mathematics
Languages : en
Pages : 357
Book Description
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
Author: Siri Krishan Wasan
Publisher:
ISBN: 9788120908826
Category : Mathematical analysis
Languages : en
Pages : 240
Book Description
Publisher:
ISBN: 9788120908826
Category : Mathematical analysis
Languages : en
Pages : 240
Book Description
Set Theoretical Aspects of Real Analysis
Author: Alexander B. Kharazishvili
Publisher: CRC Press
ISBN: 1482242028
Category : Mathematics
Languages : en
Pages : 456
Book Description
Set Theoretical Aspects of Real Analysis is built around a number of questions in real analysis and classical measure theory, which are of a set theoretic flavor. Accessible to graduate students, and researchers the beginning of the book presents introductory topics on real analysis and Lebesgue measure theory. These topics highlight the boundary b
Publisher: CRC Press
ISBN: 1482242028
Category : Mathematics
Languages : en
Pages : 456
Book Description
Set Theoretical Aspects of Real Analysis is built around a number of questions in real analysis and classical measure theory, which are of a set theoretic flavor. Accessible to graduate students, and researchers the beginning of the book presents introductory topics on real analysis and Lebesgue measure theory. These topics highlight the boundary b
Basic Elements of Real Analysis
Author: Murray H. Protter
Publisher: Springer Science & Business Media
ISBN: 0387227490
Category : Mathematics
Languages : en
Pages : 284
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 0387227490
Category : Mathematics
Languages : en
Pages : 284
Book Description
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
Author: Herbert S. Gaskill
Publisher:
ISBN: 9780136989042
Category : Funtions of real variables
Languages : en
Pages : 501
Book Description
Publisher:
ISBN: 9780136989042
Category : Funtions of real variables
Languages : en
Pages : 501
Book Description