Problems in Mathematical Analysis: Real numbers, sequences, and series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Problems in Mathematical Analysis: Real numbers, sequences, and series write by Wiesława J. Kaczor. This book was released on 2000. Problems in Mathematical Analysis: Real numbers, sequences, and series available in PDF, EPUB and Kindle. Solutions for all the problems are provided."--BOOK JACKET.
Problems in Mathematical Analysis
Problems in Mathematical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Problems in Mathematical Analysis write by Wiesława J. Kaczor. This book was released on 2000. Problems in Mathematical Analysis available in PDF, EPUB and Kindle. "We learn by doing. We learn mathematics by doing problems. This book is the first volume of a series of books of problems in mathematical analysis. It is mainly intended for students studying the basic principles of analysis. However, given its organization, level, and selection of problems, it would also be an ideal choice for tutorial or problem-solving seminars, particularly those geared toward the Putnam exam. The volume is also suitable for self-study. Each section of the book begins with relatively simple exercises, yet may also contain quite challenging problems. Very often a few consecutive exercises are concerned with different aspects of one mathematical problem or theorem. This presentation of material is designed to help student comprehension and to encourage them to ask their own questions and to start research. The collection of problems in the book is also intended to help teachers who wish to incorporate the problems into lectures. Solutions for all the problems are provided."--Résumé de l'éditeur.
Problems in Mathematical Analysis
Problems in Mathematical Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Problems in Mathematical Analysis write by Wieslawa J. Kaczor. This book was released on 2000. Problems in Mathematical Analysis available in PDF, EPUB and Kindle.
Real Analysis via Sequences and Series
Real Analysis via Sequences and Series - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Real Analysis via Sequences and Series write by Charles H.C. Little. This book was released on 2015-05-28. Real Analysis via Sequences and Series available in PDF, EPUB and Kindle. 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 well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.
A Problem Book in Real Analysis
A Problem Book in Real Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Problem Book in Real Analysis write by Asuman G. Aksoy. This book was released on 2010-03-10. A Problem Book in Real Analysis available in PDF, EPUB and Kindle. 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.
