Principles Of Mathematical Analysis

Author: Walter Rudin
Editor: McGraw-Hill Publishing Company
ISBN: 9780070856134
Size: 20,63 MB
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The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included. This text is part of the Walter Rudin Student Series in Advanced Mathematics.

Principles Of Real Analysis

Author: S.C. Malik
Editor: New Age International
ISBN: 9780852265697
Size: 18,66 MB
Format: PDF, ePub, Docs
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Principles Of Real Analysis

Author: S. L. Gupta
Editor:
ISBN: 9780706988246
Size: 17,97 MB
Format: PDF, Kindle
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Principles Of Real Analysis

Author: Charalambos D. Aliprantis
Editor: Gulf Professional Publishing
ISBN: 9780120502578
Size: 13,39 MB
Format: PDF
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With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis. Gives a unique presentation of integration theory Over 150 new exercises integrated throughout the text Presents a new chapter on Hilbert Spaces Provides a rigorous introduction to measure theory Illustrated with new and varied examples in each chapter Introduces topological ideas in a friendly manner Offers a clear connection between real analysis and functional analysis Includes brief biographies of mathematicians

Author:
Editor: Al Masriah Al Lubnaniah
ISBN: 9772937557
Size: 11,63 MB
Format: PDF, ePub, Mobi
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أجل إننا لسنا نوافق أفلاطون في كل نظرياته, وقد نشرناها على مسؤوليته، ولكننا معجبون وأكثر من معجبين, بنظام تفكيره, ورحابة صدره, وضبطه في الإحكام, وفيض بلاغته وبيانه. ونشاركه في غرض التأليف العام وهو((السعادة)) وفي الوسيلة الخاصة المؤدية إلى ذلك الغرض وهي ((الفضيلة)) ونافقه في أن الفضيلة تراد لذاتها ونتائجها. وفي أن الفرد دولة مصغرة والدولة جسـم كبير, وأن ما يسعد الدولة يسـعد الفرد، وأن الرجل الكـامل – المثـل الأعلى – هو الذي تحكم عقله في شهواته, وانقادت حماسته إلى حكمته, وعاش ومات في خدمة المجموع. body,div,table,thead,tbody,tfoot,tr,th,td,p { font-family:"Calibri"; font-size:x-small } a.comment-indicator:hover + comment { background:#ffd; position:absolute; display:block; border:1px solid black; padding:0.5em; } a.comment-indicator { background:red; display:inline-block; border:1px solid black; width:0.5em; height:0.5em; } comment { display:none; }

Principles Of Topology

Author: Fred H. Croom
Editor: Courier Dover Publications
ISBN: 0486810445
Size: 20,62 MB
Format: PDF
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Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis. Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.

Teaching School Mathematics Pre Algebra

Author: Hung-Hsi Wu:
Editor: American Mathematical Soc.
ISBN: 1470427206
Size: 18,79 MB
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This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion. For example, it gives a precise definition of percent and explains how to use the definition to do all the standard problems about percent in an entirely routine manner. It also gives a leisurely explanation for “negative times negative is positive”. Another key feature is an intuitive introduction to plane geometry via rotations, translations, reflections, and dilations that, instead of treating these transformations as merely fun activities, shows how they make sense of the usual geometric topics in middle school, including congruence, similarity, length, area, and volume. In short, the readers will find in this volume a clear explanation of whatever was once puzzling to them in the mathematics of grades 5 to 8.

A Basic Course In Real Analysis

Author: Ajit Kumar
Editor: CRC Press
ISBN: 148221637X
Size: 13,94 MB
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Based 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.

Problems In Mathematical Analysis Continuity And Differentiation

Author: Wiesława J. Kaczor
Editor: American Mathematical Soc.
ISBN: 0821820516
Size: 10,65 MB
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We learn by doing. We learn mathematics by doing problems. And we learn more mathematics by doing more problems. This is the sequel to Problems in Mathematical Analysis I (Volume 4 in the Student Mathematical Library series). If you want to hone your understanding of continuous and differentiable functions, this book contains hundreds of problems to help you do so. The emphasis here is on real functions of a single variable. The book is mainly geared toward students studying the basic principles of analysis. However, given its selection of problems, organization, and level, it would be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. It is also suitable for self-study. The presentation of the material is designed to help student comprehension, to encourage them to ask their own questions, and to start research. The collection of problems will also help teachers who wish to incorporate problems into their lectures. The problems are grouped into sections according to the methods of solution. Solutions for the problems are provided.

Principles Of Mathematical Modeling

Author: Clive L. Dym
Editor: Academic Press
ISBN: 9780122265518
Size: 20,85 MB
Format: PDF, ePub, Docs
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This book provides a readable and informative introduction to the development and application of mathematical models in science and engineering. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimensional analysis, scaling techniques, and approximation and validation techniques). The second half then applies these foundational tools to a broad variety of subjects, including exponenttial growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. An extensive collection of more than 360 problems offer ample opportunity in both a formal course and for the individual reader. (Midwest).