Basic Analysis I

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781718862401
Total Pages : 282 pages
Book Rating : 4.8/5 (624 download)

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Book Synopsis Basic Analysis I by : Jiri Lebl

Download or read book Basic Analysis I written by Jiri Lebl and published by Createspace Independent Publishing Platform. This book was released on 2018-05-08 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Version 5.0. A first course in rigorous mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces. Originally developed to teach Math 444 at University of Illinois at Urbana-Champaign and later enhanced for Math 521 at University of Wisconsin-Madison and Math 4143 at Oklahoma State University. The first volume is either a stand-alone one-semester course or the first semester of a year-long course together with the second volume. It can be used anywhere from a semester early introduction to analysis for undergraduates (especially chapters 1-5) to a year-long course for advanced undergraduates and masters-level students. See http://www.jirka.org/ra/ Table of Contents (of this volume I): Introduction 1. Real Numbers 2. Sequences and Series 3. Continuous Functions 4. The Derivative 5. The Riemann Integral 6. Sequences of Functions 7. Metric Spaces This first volume contains what used to be the entire book "Basic Analysis" before edition 5, that is chapters 1-7. Second volume contains chapters on multidimensional differential and integral calculus and further topics on approximation of functions.

Basic Real Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644415
Total Pages : 656 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Basic Real Analysis by : Anthony W. Knapp

Download or read book Basic Real Analysis written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-10-04 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.

Basic Real Analysis

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Publisher : Springer
ISBN 13 : 1493918419
Total Pages : 683 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Basic Real Analysis by : Houshang H. Sohrab

Download or read book Basic Real Analysis written by Houshang H. Sohrab and published by Springer. This book was released on 2014-11-15 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. The text is a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten entirely and greatly improved. They now contain Lebesgue’s differentiation theorem as well as his versions of the Fundamental Theorem(s) of Calculus. With expanded chapters, additional problems, and an expansive solutions manual, Basic Real Analysis, Second Edition is ideal for senior undergraduates and first-year graduate students, both as a classroom text and a self-study guide. Reviews of first edition: The book is a clear and well-structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. The prerequisites are few, but a certain mathematical sophistication is required. ... The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact, this textbook can serve as a source of examples and exercises in real analysis. —Zentralblatt MATH The quality of the exposition is good: strong and complete versions of theorems are preferred, and the material is organised so that all the proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples. The reader is strongly encouraged to learn by doing: exercises are sprinkled liberally throughout the text and each chapter ends with a set of problems, about 650 in all, some of which are of considerable intrinsic interest. —Mathematical Reviews [This text] introduces upper-division undergraduate or first-year graduate students to real analysis.... Problems and exercises abound; an appendix constructs the reals as the Cauchy (sequential) completion of the rationals; references are copious and judiciously chosen; and a detailed index brings up the rear. —CHOICE Reviews

Basic Elements of Real Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227490
Total Pages : 284 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Basic Elements of Real Analysis by : Murray H. Protter

Download or read book Basic Elements of Real Analysis written by Murray H. Protter and published by Springer Science & Business Media. This book was released on 2006-03-29 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Basic Analysis: Japanese Grade 11

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Publisher : American Mathematical Soc.
ISBN 13 : 0821805800
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Basic Analysis: Japanese Grade 11 by : 小平邦彦

Download or read book Basic Analysis: Japanese Grade 11 written by 小平邦彦 and published by American Mathematical Soc.. This book was released on 1996 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is the translation of the Japanese textbook for the grade 11 course, "Basic Analysis", which is one of three elective courses offered at this level in Japanese high schools. The book includes a thorough treatment of exponential, logarithmic, and trigonometric functions, progressions, and induction method, as well as an extensive introduction to differential and integral calculus."--Publisher.

Real Analysis: A Comprehensive Course in Analysis, Part 1

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Publisher : American Mathematical Soc.
ISBN 13 : 1470410990
Total Pages : 789 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Real Analysis: A Comprehensive Course in Analysis, Part 1 by : Barry Simon

Download or read book Real Analysis: A Comprehensive Course in Analysis, Part 1 written by Barry Simon and published by American Mathematical Soc.. This book was released on 2015-11-02 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 1 is devoted to real analysis. From one point of view, it presents the infinitesimal calculus of the twentieth century with the ultimate integral calculus (measure theory) and the ultimate differential calculus (distribution theory). From another, it shows the triumph of abstract spaces: topological spaces, Banach and Hilbert spaces, measure spaces, Riesz spaces, Polish spaces, locally convex spaces, Fréchet spaces, Schwartz space, and spaces. Finally it is the study of big techniques, including the Fourier series and transform, dual spaces, the Baire category, fixed point theorems, probability ideas, and Hausdorff dimension. Applications include the constructions of nowhere differentiable functions, Brownian motion, space-filling curves, solutions of the moment problem, Haar measure, and equilibrium measures in potential theory.

Basic Content Analysis

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Publisher : SAGE
ISBN 13 : 9780803938632
Total Pages : 100 pages
Book Rating : 4.9/5 (386 download)

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Book Synopsis Basic Content Analysis by : Robert Philip Weber

Download or read book Basic Content Analysis written by Robert Philip Weber and published by SAGE. This book was released on 1990 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition has been completely updated to include new studies, new computer applications and an additional chapter on problems and issues that can arise when carrying out content analysis in four major categories: measurement, indication, representation and interpretation.

Basic Methods of Linear Functional Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486173631
Total Pages : 320 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Basic Methods of Linear Functional Analysis by : John D. Pryce

Download or read book Basic Methods of Linear Functional Analysis written by John D. Pryce and published by Courier Corporation. This book was released on 2014-05-05 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the themes of mathematical analysis, geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. Numerous exercises and worked examples.1973 edition.

Basic Analysis of Regularized Series and Products

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Publisher : Springer
ISBN 13 : 3540481931
Total Pages : 127 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Basic Analysis of Regularized Series and Products by : Jay Jorgenson

Download or read book Basic Analysis of Regularized Series and Products written by Jay Jorgenson and published by Springer. This book was released on 2006-11-15 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic number theory and part of the spectral theory of operators (differential, pseudo-differential, elliptic, etc.) are being merged under amore general analytic theory of regularized products of certain sequences satisfying a few basic axioms. The most basic examples consist of the sequence of natural numbers, the sequence of zeros with positive imaginary part of the Riemann zeta function, and the sequence of eigenvalues, say of a positive Laplacian on a compact or certain cases of non-compact manifolds. The resulting theory is applicable to ergodic theory and dynamical systems; to the zeta and L-functions of number theory or representation theory and modular forms; to Selberg-like zeta functions; andto the theory of regularized determinants familiar in physics and other parts of mathematics. Aside from presenting a systematic account of widely scattered results, the theory also provides new results. One part of the theory deals with complex analytic properties, and another part deals with Fourier analysis. Typical examples are given. This LNM provides basic results which are and will be used in further papers, starting with a general formulation of Cram r's theorem and explicit formulas. The exposition is self-contained (except for far-reaching examples), requiring only standard knowledge of analysis.

Basic Analysis I

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Publisher : CRC Press
ISBN 13 : 1351679457
Total Pages : 580 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Basic Analysis I by : James K. Peterson

Download or read book Basic Analysis I written by James K. Peterson and published by CRC Press. This book was released on 2020-05-13 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists. This book is written with the aim of balancing the theory and abstraction with clear explanations and arguments, so that students who are from a variety of different areas can follow this text and use it profitably for self-study. It can also be used as a supplementary text for anyone whose work requires that they begin to assimilate more abstract mathematical concepts as part of their professional growth. Features Can be used as a traditional textbook as well as for self-study Suitable for undergraduate mathematics students, or for those in other disciplines requiring a solid grounding in abstraction Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions

A Basic Course in Real Analysis

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Publisher : CRC Press
ISBN 13 : 1482216388
Total Pages : 322 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis A Basic Course in Real Analysis by : Ajit Kumar

Download or read book A Basic Course in Real Analysis written by Ajit Kumar and published by CRC Press. This book was released on 2014-01-10 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827839
Total Pages : 378 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analysis by : Elliott H. Lieb

Download or read book Analysis written by Elliott H. Lieb and published by American Mathematical Soc.. This book was released on 2001 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course in real analysis begins with the usual measure theory, then brings the reader quickly to a level where a wider than usual range of topics can be appreciated. Topics covered include Lp- spaces, rearrangement inequalities, sharp integral inequalities, distribution theory, Fourier analysis, potential theory, and Sobolev spaces. To illustrate these topics, there is a chapter on the calculus of variations, with examples from mathematical physics, as well as a chapter on eigenvalue problems (new to this edition). For graduate students of mathematics, and for students of the natural sciences and engineering who want to learn tools of real analysis. Assumes a previous course in calculus. Lieb is affiliated with Princeton University. Loss is affiliated with Georgia Institute of Technology. c. Book News Inc.

Concise Introduction to Basic Real Analysis

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Publisher : CRC Press
ISBN 13 : 0429876335
Total Pages : 188 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Concise Introduction to Basic Real Analysis by : Hemen Dutta

Download or read book Concise Introduction to Basic Real Analysis written by Hemen Dutta and published by CRC Press. This book was released on 2019-08-12 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to basic topics in Real Analysis and makes the subject easily understandable to all learners. The book is useful for those that are involved with Real Analysis in disciplines such as mathematics, engineering, technology, and other physical sciences. It provides a good balance while dealing with the basic and essential topics that enable the reader to learn the more advanced topics easily. It includes many examples and end of chapter exercises including hints for solutions in several critical cases. The book is ideal for students, instructors, as well as those doing research in areas requiring a basic knowledge of Real Analysis. Those more advanced in the field will also find the book useful to refresh their knowledge of the topic. Features Includes basic and essential topics of real analysis Adopts a reasonable approach to make the subject easier to learn Contains many solved examples and exercise at the end of each chapter Presents a quick review of the fundamentals of set theory Covers the real number system Discusses the basic concepts of metric spaces and complete metric spaces

Elementary Analysis

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Publisher : CUP Archive
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4./5 ( download)

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Book Synopsis Elementary Analysis by : Kenneth A. Ross

Download or read book Elementary Analysis written by Kenneth A. Ross and published by CUP Archive. This book was released on 2014-01-15 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamental Analysis For Dummies

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Publisher : John Wiley & Sons
ISBN 13 : 0470573228
Total Pages : 328 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Fundamental Analysis For Dummies by : Matthew Krantz

Download or read book Fundamental Analysis For Dummies written by Matthew Krantz and published by John Wiley & Sons. This book was released on 2009-10-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to determine the true strength and stability of any business What's the key to multibillionaire Warren Buffett's five-decade run as the most successful investor in history? Fundamental analysis. Now, Fundamental Analysis For Dummies puts this tried and true method for gauging any company's true underlying value into sensible and handy step-by-step instructions.. In this easy-to-understand, practical, and savvy guide you'll discover why this powerful tool is particularly important to investors in times of economic downturn and how it helps you assess a business's overall financial performance by using historical and present data to forecast its future monetary value. You'll also learn how to use fundamental analysis to spot bargains in the market, minimize your risk, and improve your overall investment skills. Shows how to predict the future value of a business based on its current and historical financial data Helps you guage a company's performance against its competitors Covers evaluation of internal management Reveals how to determine if in a company's credit standing is any jeopardy Applies fundamental analysis to other investment vehicles, including currency, bonds, and commodities Matt Krantz is a writer and reporter for USA TODAY and USATODAY.COM where he covers investments and financial markets Read Fundamental Analysis For Dummies and find the bargains that could make you the next Warren Buffett!

Basic Complex Analysis

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Publisher : Macmillan
ISBN 13 : 9780716728771
Total Pages : 530 pages
Book Rating : 4.7/5 (287 download)

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Book Synopsis Basic Complex Analysis by : Jerrold E. Marsden

Download or read book Basic Complex Analysis written by Jerrold E. Marsden and published by Macmillan. This book was released on 1999 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Complex Analysis skillfully combines a clear exposition of core theory with a rich variety of applications. Designed for undergraduates in mathematics, the physical sciences, and engineering who have completed two years of calculus and are taking complex analysis for the first time..

Multilevel Analysis

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Publisher : SAGE
ISBN 13 : 9780761958901
Total Pages : 282 pages
Book Rating : 4.9/5 (589 download)

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Book Synopsis Multilevel Analysis by : Tom A. B. Snijders

Download or read book Multilevel Analysis written by Tom A. B. Snijders and published by SAGE. This book was released on 1999 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multilevel analysis covers all the main methods, techniques and issues for carrying out multilevel modeling and analysis. The approach is applied, and less mathematical than many other textbooks.