Real Analysis on Intervals by A.D.R. Choudary (English) Paperback Book

Description: Real Analysis on Intervals by A.D.R. Choudary, Constantin P. Niculescu The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real world. As well as providing a valuable source of inspiration for contemporary research in mathematics, the book helps students read, understand and construct mathematical proofs, develop their problem-solving abilities and comprehend the importance and frontiers of computer facilities and much more.It offers comprehensive material for both seminars and independent study for readers with a basic knowledge of calculus and linear algebra. The first nine chapters followed by the appendix on the Stieltjes integral are recommended for graduate students studying probability and statistics, while the first eight chapters followed by the appendix on dynamical systems will be of use to studentsof biology and environmental sciences. Chapter 10 and the appendixes are of interest to those pursuing further studies at specialized advanced levels. Exercises at the end of each section, as well as commentaries at the end of each chapter, further aid readers understanding. The ultimate goal of the book is to raise awareness of the fine architecture of analysis and its relationship with the other fields of mathematics. Back Cover The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real world. As well as providing a valuable source of inspiration for contemporary research in mathematics, the book helps students read, understand and construct mathematical proofs, develop their problem-solving abilities and comprehend the importance and frontiers of computer facilities and much more. It offers comprehensive material for both seminars and independent study for readers with a basic knowledge of calculus and linear algebra. The first nine chapters followed by the appendix on the Stieltjes integral are recommended for graduate students studying probability and statistics, while the first eight chapters followed by the appendix on dynamical systems will be of use to students of biology and environmental sciences. Chapter 10 and the appendixes are of interest to those pursuing further studies at specialized advanced levels. Exercises at the end of each section, as well as commentaries at the end of each chapter, further aid readers understanding. The ultimate goal of the book is to raise awareness of the fine architecture of analysis and its relationship with the other fields of mathematics. Author Biography A.D.R. CHOUDARY is professor and director general of the Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan. Professor Choudary is also the director of National Center of Mathematics (NCM), Pakistan, and professor emeritus at Central Washington University, USA, as well as the convener of the 6th World Conference on 20th Century Mathematics 2013. He is the coeditor-in-chief of the Journal of Prime Research in Mathematics.CONSTANTIN P. NICULESCU is former professor of mathematics at the University of Craiova, Romania. He continues to publish and supervise doctoral theses in Real Analysis and Convexity. Professor Niculescu is director of the Center for Nonlinear Analysis and its Applications in Craiova and a member of The Academy of Romanian Scientists. Table of Contents Preface.- Chapter 1. The Real Numbers.- Chapter 2. Limits of Real Sequences.- Chapter 3. The Euclidean Spaces RP and C.- Chapter 4. Numerical Series.- Chapter 5. Metric and Topology.- Chapter 6. Continuous Functions.- Chapter 7. Elementary Functions.- Chapter 8. Differential Calculus on R.- Chapter 9. The Riemann Integral.- Chapter 10. Improper Riemann Integrals.- Chapter 11. The Theory of Lebesgue Integral.- Chapter 12. Fourier Series.- Appendices. Review "The authors of this book intend to familiarize the reader with the basic concepts, principles, and methods of analysis and to ease access to more advanced topics. … Every section of the book ends with exercises … and every chapter of the book ends with a section of notes and remarks that provides historical information and supplementary material devoted to a better understanding of the present state of real analysis. I hope that this book achieves its mission." (Mansoor Saburov, Mathematical Reviews, January, 2016)"This book is a classical textbook on the theory of one variable real functions. … The book is carefully written, with rigorous proofs and a sufficient number of problems, both solved and unsolved. … The book goes under the surface of the topic and it is aimed in the first place to students of science … ." (Vladimír Janiš, zbMATH 1317.26001, 2015) Long Description The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real world. As well as providing a valuable source of inspiration for contemporary research in mathematics, the book helps students read, understand and construct mathematical proofs, develop their problem-solving abilities and comprehend the importance and frontiers of computer facilities and much more. It offers comprehensive material for both seminars and independent study for readers with a basic knowledge of calculus and linear algebra. The first nine chapters followed by the appendix on the Stieltjes integral are recommended for graduate students studying probability and statistics, while the first eight chapters followed by the appendix on dynamical systems will be of use to students of biology and environmental sciences. Chapter 10 and the appendixes are of interest to those pursuing further studies at specialized advanced levels. Exercises at the end of each section, as well as commentaries at the end of each chapter, further aid readers understanding. The ultimate goal of the book is to raise awareness of the fine architecture of analysis and its relationship with the other fields of mathematics. " Review Quote This book is a classical textbook on the theory of one variable real functions. The book is carefully written, with rigorous proofs and a sufficient number of problems, both solved and unsolved. The book goes under the surface of the topic and it is aimed in the first place to students of science . (Vladimir Jani, zbMATH 1317.26001, 2015)" Feature Presents theory, methods and basic algorithms of mathematical analysis of one real variable Offers short routes to many nowadays mathematical problems Makes the reader aware of the fine architecture of mathematics Outlines the usefulness of mathematical analysis in performing high precision computations Details ISBN8132235630 Author Constantin P. Niculescu Publisher Springer, India, Private Ltd Year 2016 ISBN-10 8132235630 ISBN-13 9788132235637 Format Paperback Language English Media Book Imprint Springer, India, Private Ltd Place of Publication New Delhi Country of Publication India Pages 525 Publication Date 2016-08-23 UK Release Date 2016-08-23 Illustrations 36 Illustrations, black and white; XI, 525 p. 36 illus. Edited by Shoichi Nakajima Birth 1955 Affiliation Marquette University Position Assistant Professor Qualifications Ph.D. Edition Description Softcover reprint of the original 1st ed. 2014 Alternative 9788132221470 DEWEY 515.8 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:99136248;

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