This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21-25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers o...Lasīt vairāk
(Izdošanas datums: 02-Mar-2025, Paperback / softback, Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783662691144)
This textbook presents a direct path from real analysis of one variable to function theory. Classical topics of one-dimensional real analysis, such as differential and integral calculus, are largely presented from a complex perspective. The goal i...Lasīt vairāk
Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more de...Lasīt vairāk
Gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors style is a mix of formal and informal, with the intent of illustrating the practice o...Lasīt vairāk
A gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserve...Lasīt vairāk
The aim of this book is to lead the reader out from the ordinary routine of computing and calculating by engaging in a more dynamic process of learning. This Learning-by-Doing Approach can be traced back to Aristotle who wrote in his Nicomachean Eth...Lasīt vairāk
The aim of this book is to lead the reader out from the ordinary routine of computing and calculating by engaging in a more dynamic process of learning. This Learning-by-Doing Approach can be traced back to Aristotle, who wrote in his Nicomach...Lasīt vairāk
(Izdošanas datums: 14-Nov-2023, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811278211)
This book presents an introduction to the key topics in Real Analysis and makes the subject easily understood by the learners. The book is primarily useful for students of mathematics and engineering studying the subject of Real Analysis. It include...Lasīt vairāk
The emphasis of this now classic text is on sequences of real numbers, compact subsets of IR, as well as real-valued functions. This classic textbook has been used successfully by instructors and students for nearly three decades. This tim...Lasīt vairāk
This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real...Lasīt vairāk
This book provides a resolution to the bridging-the-gap problem. The book not only presents the fundamental theorems of real analysis, but also shows the reader how to compose and produce the proofs of these theorems. ...Lasīt vairāk
A theoretical physicistand a genius for making complex notions entertainingshows how physics offers deep insights into the workings of the universe, in this inspiring introduction to a way of seeing that will resonate across cultural and generation...Lasīt vairāk
Discusses advances in maximal function methods related to Poincare and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardys inequalities, and partial differential equations....Lasīt vairāk
This new edition continues the effort to make the book accessible to a broader audience. Many students who take a real analysis course do not have the ideal background. The new edition offers chapters on background material like set theory, logic,...Lasīt vairāk
Designed for use in an introductory undergraduate course in real analysis. Much of the development is in the setting of the general metric space. The book makes substantial use not only of the real line and n-dimensional Euclidean space, but also...Lasīt vairāk
This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real...Lasīt vairāk
In a textbook for students who have completed a standard course in linear algebra and a course in basis analysis, Bisgard demonstrates the wide applicability of the analytic tools they have learned, and shows how to generalize many of the basic i...Lasīt vairāk
This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous...Lasīt vairāk
Typically, undergraduates see real analysis as one of the most difficult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with thes...Lasīt vairāk
(Izdošanas datums: 28-Oct-2020, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811227455)
A typical source of mistakes that frequently lead to a wrong or incomplete solution for the antiderivative of a given real function of one real variable is a misuse of the technique of change of variable. The increasing implementation of software in...Lasīt vairāk
This textbook is for the second part of a two-semester sequence on advanced calculus aimed at providing a firm logical foundation for analysis for students who have had three semesters of calculus and a course in linear algebra. He covers backgro...Lasīt vairāk
Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse a...Lasīt vairāk
(Izdošanas datums: 30-Jun-2020, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470451356)
The introductory textbook is for mathematics students at the advanced undergraduate level, and for students in the sciences and engineering who desire a rigorous introduction to mathematical analysis. Most of it provides a motivated introduction...Lasīt vairāk
Basic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra. This is a critical course in...Lasīt vairāk
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Weierstrass and Blancmange nowhere differentiable functions, Lebesgue integrable functions with everywhere divergent Fourier series, and various nonintegrable Lebesgue measurable functions. While dubbed strange or pathological, these functions are...Lasīt vairāk
The subject of concave analysis involves both concave and convex functions and their generalizations. The aim of the book is to provide a basic and self-contained introduction to concepts and detailed study of concave and convex functions. It is writ...Lasīt vairāk
This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to di...Lasīt vairāk
(Izdošanas datums: 16-Dec-2017, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781493973675)
This book develops the theory of multivariable analysis, building on the single variable foundations established in the companion volume, Real Analysis: Foundations and Functions of One Variable....Lasīt vairāk
(Izdošanas datums: 08-Dec-2017, Hardback, Izdevniecība: Taylor & Francis Ltd, ISBN-13: 9781315897097)
Written by one of the best-known probabilists in the world this text offers a clear and modern presentation of modern probability theory and an exposition of the interplay between the properties of metric spaces and those of probability measures. Thi...Lasīt vairāk
This book explores a number of important examples and constructions of pathological functions. After introducing the basic concepts, the author begins with Cantor and Peano-type functions, then moves to functions whose constructions require essent...Lasīt vairāk
(Izdošanas datums: 06-Oct-2017, Hardback, Izdevniecība: John Wiley & Sons Inc, ISBN-13: 9781119314721)
An engaging and accessible introduction to mathematical proof incorporating ideas from real analysis A mathematical proof is an inferential argument for a mathematical statement. Since the time of the ancient Greek mathematicia...Lasīt vairāk
Editors Berhanu, Mir, and Straube present readers with a collection of academic papers selected from materials presented at a workshop on Analysis and Geometry in Several Complex Variables held on the campus of Texas A&M University at Qatar in Ja...Lasīt vairāk
Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver...Lasīt vairāk
(Izdošanas datums: 10-Jan-2017, Hardback, Izdevniecība: Princeton University Press, ISBN-13: 9780691173870)
Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver...Lasīt vairāk
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The new edition of this popular text is revised to meet the suggestions of users of the previous edition. A readable yet rigorous approach to an essential part of mathematical thinking, this text bridges the gap between classic theoretical texts a...Lasīt vairāk
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Long out of print volume by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics. 1955 and 1961 editions....Lasīt vairāk
(Izdošanas datums: 18-Sep-2016, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781493940035)
The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and conci...Lasīt vairāk
The 19 papers in this collection were presented at an August 2014 conference held at the University of Paderborn, Germany, and consider recent developments in various areas of non-Archimedean analysis. The topics include spectral theory for finite ra...Lasīt vairāk
Contains the proceedings of the conference Constructive Functions 2014, held in May 2014. The papers in this volume include results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fract...Lasīt vairāk
This undergraduate textbook is based on lectures given bythe author on the differential and integral calculus of functions of severalreal variables. The book has a modern approach and includes topics such as:-The p-norms on vector space and their...Lasīt vairāk
(Izdošanas datums: 30-Dec-2015, Hardback, Izdevniecība: Mathematical Association of America, ISBN-13: 9781939512055)
A broad and rigorous treatment of real analysis and a platform to higher mathematics, with historical material and 600 exercises. An Invitation to Real Analysis is written both as a stepping stone to higher calculus and analysis courses, and...Lasīt vairāk
Mikula presents readers with a comprehensive examination of the fundamentals of real analysis up to the beginning graduate level. The book covers the set of real numbers, elementary point-set topology, sequences and series of real numbers, limits and...Lasīt vairāk
(Izdošanas datums: 29-May-2015, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9781493926503)
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are w...Lasīt vairāk
A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The books material has been extensively classroom tested in the authors two-se...Lasīt vairāk
Sērija : Encyclopedia of Mathematics and its Applications
(Izdošanas datums: 21-Aug-2014, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107071896)
Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose we...Lasīt vairāk
Kumar and Kumaresan have left out a few topics that are included in standard introductory real analysis courses because their teaching experience shows that they are too abstract for beginning students. These are a rigorous treatment of the real numb...Lasīt vairāk
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A Readable yet Rigorous Approach to an Essential Part of Mathematical ThinkingBack by popular demand, Real Analysis and Foundations, Third Edition bridges the gap between classic theoretical texts and less rigorous on...Lasīt vairāk
