Counterexamples in 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 Counterexamples in Analysis write by Bernard R. Gelbaum. This book was released on 2012-07-12. Counterexamples in Analysis available in PDF, EPUB and Kindle. These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.
Counterexamples in Topology
Counterexamples in Topology - 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 Counterexamples in Topology write by Lynn Arthur Steen. This book was released on 2013-04-22. Counterexamples in Topology available in PDF, EPUB and Kindle. Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.
Theorems and Counterexamples in Mathematics
Theorems and Counterexamples in Mathematics - 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 Theorems and Counterexamples in Mathematics write by Bernard R. Gelbaum. This book was released on 2012-12-06. Theorems and Counterexamples in Mathematics available in PDF, EPUB and Kindle. The gratifying response to Counterexamples in analysis (CEA) was followed, when the book went out of print, by expressions of dismay from those who were unable to acquire it. The connection of the present volume with CEA is clear, although the sights here are set higher. In the quarter-century since the appearance of CEA, mathematical education has taken some large steps reflected in both the undergraduate and graduate curricula. What was once taken as very new, remote, or arcane is now a well-established part of mathematical study and discourse. Consequently the approach here is designed to match the observed progress. The contents are intended to provide graduate and ad vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. The items included are presented in the spirit of a conversation among mathematicians who know the language but are interested in some of the ramifications of the subjects with which they routinely deal. Although such an approach might be construed as demanding, there is an extensive GLOSSARY jlNDEX where all but the most familiar notions are clearly defined and explained. The object ofthe body of the text is more to enhance what the reader already knows than to review definitions and notations that have become part of every mathematician's working context.
Counterexamples in Calculus
Counterexamples in Calculus - 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 Counterexamples in Calculus write by Sergiy Klymchuk. This book was released on 2010-12-31. Counterexamples in Calculus available in PDF, EPUB and Kindle. Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus.
Counterexamples in Probability
Counterexamples in Probability - 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 Counterexamples in Probability write by Jordan M. Stoyanov. This book was released on 2014-01-15. Counterexamples in Probability available in PDF, EPUB and Kindle. "While most mathematical examples illustrate the truth of a statement, counterexamples demonstrate a statement's falsity. Enjoyable topics of study, counterexamples are valuable tools for teaching and learning. The definitive book on the subject in regards to probability, this third edition features the author's revisions and corrections plus a substantial new appendix. 2013 edition"--
