Problems in Mathematical Analysis
Author : Wieslawa J. Kaczor
Publisher : American Mathematical Soc.
Page : 400 pages
File Size : 21,40 MB
Release : 2000
Category : Mathematical analysis
ISBN : 9780821884430
Author : Wieslawa J. Kaczor
Publisher : American Mathematical Soc.
Page : 400 pages
File Size : 21,40 MB
Release : 2000
Category : Mathematical analysis
ISBN : 9780821884430
Author : Wiesława J. Kaczor
Publisher : American Mathematical Soc.
Page : 396 pages
File Size : 48,11 MB
Release : 2000
Category : Mathematics
ISBN : 0821820508
Solutions for all the problems are provided."--BOOK JACKET.
Author : Tomasz Radożycki
Publisher : Springer
Page : 369 pages
File Size : 28,2 MB
Release : 2020-02-21
Category : Mathematics
ISBN : 9783030358433
This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.
Author : Philip Russell Wallace
Publisher : Courier Corporation
Page : 644 pages
File Size : 13,84 MB
Release : 1984-01-01
Category : Science
ISBN : 0486646769
This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.
Author : B. Gelbaum
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 25,54 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461576792
These problems and solutions are offered to students of mathematics who have learned real analysis, measure theory, elementary topology and some theory of topological vector spaces. The current widely used texts in these subjects provide the background for the understanding of the problems and the finding of their solutions. In the bibliography the reader will find listed a number of books from which the necessary working vocabulary and techniques can be acquired. Thus it is assumed that terms such as topological space, u-ring, metric, measurable, homeomorphism, etc., and groups of symbols such as AnB, x EX, f: IR 3 X 1-+ X 2 - 1, etc., are familiar to the reader. They are used without introductory definition or explanation. Nevertheless, the index provides definitions of some terms and symbols that might prove puzzling. Most terms and symbols peculiar to the book are explained in the various introductory paragraphs titled Conventions. Occasionally definitions and symbols are introduced and explained within statements of problems or solutions. Although some solutions are complete, others are designed to be sketchy and thereby to give their readers an opportunity to exercise their skill and imagination. Numbers written in boldface inside square brackets refer to the bib liography. I should like to thank Professor P. R. Halmos for the opportunity to discuss with him a variety of technical, stylistic, and mathematical questions that arose in the writing of this book. Buffalo, NY B.R.G.
Author : Asuman G. Aksoy
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 13,78 MB
Release : 2010-03-10
Category : Mathematics
ISBN : 1441912967
Education is an admirable thing, but it is well to remember from time to time that nothing worth knowing can be taught. Oscar Wilde, “The Critic as Artist,” 1890. Analysis is a profound subject; it is neither easy to understand nor summarize. However, Real Analysis can be discovered by solving problems. This book aims to give independent students the opportunity to discover Real Analysis by themselves through problem solving. ThedepthandcomplexityofthetheoryofAnalysiscanbeappreciatedbytakingaglimpseatits developmental history. Although Analysis was conceived in the 17th century during the Scienti?c Revolution, it has taken nearly two hundred years to establish its theoretical basis. Kepler, Galileo, Descartes, Fermat, Newton and Leibniz were among those who contributed to its genesis. Deep conceptual changes in Analysis were brought about in the 19th century by Cauchy and Weierstrass. Furthermore, modern concepts such as open and closed sets were introduced in the 1900s. Today nearly every undergraduate mathematics program requires at least one semester of Real Analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of this book is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, we hope that learning analysis becomes less taxing and thereby more satisfying.
Author : G. Baranenkov
Publisher :
Page : 496 pages
File Size : 47,69 MB
Release : 1973
Category : Mathematical analysis
ISBN :
Author : Biler
Publisher : CRC Press
Page : 244 pages
File Size : 12,70 MB
Release : 2017-10-19
Category : Mathematics
ISBN : 1351421468
Chapter 1 poses 134 problems concerning real and complex numbers, chapter 2 poses 123 problems concerning sequences, and so it goes, until in chapter 9 one encounters 201 problems concerning functional analysis. The remainder of the book is given over to the presentation of hints, answers or referen
Author : Tomasz Radożycki
Publisher : Springer Nature
Page : 384 pages
File Size : 40,40 MB
Release : 2020-02-22
Category : Mathematics
ISBN : 3030368483
This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study.
Author : Vladimir A. Zorich
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 10,41 MB
Release : 2004-01-22
Category : Mathematics
ISBN : 9783540403869
This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.