Problems And Solutions For Undergraduate Real Analysis Ii
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Problems And Solutions For Undergraduate Real Analysis Ii
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Author : Kit-Wing Yu
language : en
Publisher: 978-988-78797-7-0
Release Date : 2019-07-22
Problems And Solutions For Undergraduate Real Analysis Ii written by Kit-Wing Yu and has been published by 978-988-78797-7-0 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-22 with Mathematics categories.
This book "Problems and Solutions for Undergraduate Real Analysis II " is the continuum of the first book "Problems and Solutions for Undergraduate Real Analysis I ". Its aim is the same as its first book: We want to assist undergraduate students or first-year students who study mathematics in learning their first rigorous real analysis course. The wide variety of problems, which are of varying difficulty, include the following topics: Sequences and Series of Functions, Improper Integrals, Lebesgue Measure, Lebesgue Measurable Functions, Lebesgue Integration, Differential Calculus of Functions of Several Variables and Integral Calculus of Functions of Several Variables.Furthermore, the main features of this book are listed as follows: 1. The book contains 226 problems, which cover the topics mentioned above, with detailed and complete solutions. Particularly, we include over 100 problems for the Lebesgue integration theory which, I believe, is totally new to all undergraduate students. 2. Each chapter starts with a brief and concise note of introducing the notations, terminologies, basic mathematical concepts or important/famous/frequently used theorems (without proofs) relevant to the topic. 3. Three levels of difficulty have been assigned to problems so that you can sharpen your mathematics step-by-step. 4. Different colors are used frequently in order to highlight or explain problems, examples, remarks, main points/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only)
Problems And Solutions For Undergraduate Real Analysis
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Author : Kit-Wing Yu
language : en
Publisher: 978-988-74155-3-4
Release Date : 2020-02-10
Problems And Solutions For Undergraduate Real Analysis written by Kit-Wing Yu and has been published by 978-988-74155-3-4 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-10 with Mathematics categories.
The present book "Problems and Solutions for Undergraduate Real Analysis" is the combined volume of author's two books "Problems and Solutions for Undergraduate Real Analysis I" and "Problems and Solutions for Undergraduate Real Analysis II". By offering 456 exercises with different levels of difficulty, this book gives a brief exposition of the foundations of first-year undergraduate real analysis. Furthermore, we believe that students and instructors may find that the book can also be served as a source for some advanced courses or as a reference.The wide variety of problems, which are of varying difficulty, include the following topics: (1) Elementary Set Algebra, (2) The Real Number System, (3) Countable and Uncountable Sets, (4) Elementary Topology on Metric Spaces, (5) Sequences in Metric Spaces, (6) Series of Numbers, (7) Limits and Continuity of Functions, (8) Differentiation, (9) The Riemann-StieltjesIntegral, (10) Sequences and Series of Functions, (11) Improper Integrals, (12) Lebesgue Measure, (13) Lebesgue Measurable Functions, (14) Lebesgue Integration, (15) Differential Calculus of Functions of Several Variables and (16) Integral Calculus of Functions of Several Variables. Furthermore, the main features of this book are listed as follows:1. The book contains 456 problems of undergraduate real analysis, which cover the topics mentioned above, with detailed and complete solutions. In fact, the solutions show every detail, every step and every theorem that I applied.2. Each chapter starts with a brief and concise note of introducing the notations, terminologies, basic mathematical concepts or important/famous/frequently used theorems (without proofs) relevant to the topic. As a consequence, students can use these notes as a quick review before midterms or examinations.3. Three levels of difficulty have been assigned to problems so that you can sharpen your mathematics step-by-step. 4. Different colors are used frequently in order to highlight or explain problems, examples, remarks, main points/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only)5. An appendix about mathematical logic is included. It tells students what concepts of logic (e.g. techniques of proofs) are necessary in advanced mathematics.
University Of Michigan Official Publication
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Author : University of Michigan
language : en
Publisher: UM Libraries
Release Date : 1974
University Of Michigan Official Publication written by University of Michigan and has been published by UM Libraries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Education, Higher categories.
Each number is the catalogue of a specific school or college of the University.
Partial Differential Equations For Scientists And Engineers
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Author : Stanley J. Farlow
language : en
Publisher: Courier Corporation
Release Date : 2012-03-08
Partial Differential Equations For Scientists And Engineers written by Stanley J. Farlow and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-08 with Mathematics categories.
Practical text shows how to formulate and solve partial differential equations. Coverage includes diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Solution guide available upon request. 1982 edition.
Probability
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Author : Samuel Goldberg
language : en
Publisher: Courier Corporation
Release Date : 1986-01-01
Probability written by Samuel Goldberg and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Mathematics categories.
Excellent basic text covers set theory, probability theory for finite sample spaces, binomial theorem, probability distributions, means, standard deviations, probability function of binomial distribution, and other key concepts and methods essential to a thorough understanding of probability. Designed for use by math or statistics departments offering a first course in probability. 360 illustrative problems with answers for half. Only high school algebra needed. Chapter bibliographies.
The Stanford Mathematics Problem Book
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Author : George Polya
language : en
Publisher: Courier Corporation
Release Date : 2013-04-09
The Stanford Mathematics Problem Book written by George Polya and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.
Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.
Mathematics For The Nonmathematician
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Author : Morris Kline
language : en
Publisher: Courier Corporation
Release Date : 2013-04-15
Mathematics For The Nonmathematician written by Morris Kline and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-15 with Mathematics categories.
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Mathematics For Physicists
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Author : Philippe Dennery
language : en
Publisher: Courier Corporation
Release Date : 2012-06-11
Mathematics For Physicists written by Philippe Dennery and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Science categories.
Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.
Calculus And Statistics
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Author : Michael C. Gemignani
language : en
Publisher: Courier Corporation
Release Date : 2014-06-10
Calculus And Statistics written by Michael C. Gemignani and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-10 with Mathematics categories.
Self-contained and suitable for undergraduate students, this text offers a working knowledge of calculus and statistics. It assumes only a familiarity with basic analytic geometry, presenting a coordinated study that develops the interrelationships between calculus, probability, and statistics. Starting with the basic concepts of function and probability, the text addresses some specific probabilities and proceeds to surveys of random variables and graphs, the derivative, applications of the derivative, sequences and series, and integration. Additional topics include the integral and continuous variates, some basic discrete distributions, as well as other important distributions, hypothesis testing, functions of several variables, and regression and correlation. The text concludes with an appendix, answers to selected exercises, a general index, and an index of symbols.
Theory Of Matrix Structural Analysis
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Author : J. S. Przemieniecki
language : en
Publisher: Courier Corporation
Release Date : 1985-01-01
Theory Of Matrix Structural Analysis written by J. S. Przemieniecki and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-01-01 with Technology & Engineering categories.
This classic text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover basic equations of elasticity, energy theorems, structural idealization, a comparison of force and displacement methods, analysis of substructures, structural synthesis, nonlinear structural analysis, and other topics. 1968 edition.