Introduction to Mathematical Thinking

Introduction to Mathematical Thinking
Title Introduction to Mathematical Thinking PDF eBook
Author Keith J. Devlin
Publisher
Pages 0
Release 2012
Genre Mathematics
ISBN 9780615653631

Download Introduction to Mathematical Thinking Book in PDF, Epub and Kindle

"Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.

A First Course in Topology

A First Course in Topology
Title A First Course in Topology PDF eBook
Author Robert A Conover
Publisher Courier Corporation
Pages 276
Release 2014-05-21
Genre Mathematics
ISBN 0486780015

Download A First Course in Topology Book in PDF, Epub and Kindle

Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects. Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text. Dover (2014) republication of the edition originally published by The Williams & Wilkins Company, Baltimore, 1975. See every Dover book in print at www.doverpublications.com

An Introduction to Mathematical Thinking

An Introduction to Mathematical Thinking
Title An Introduction to Mathematical Thinking PDF eBook
Author William J. Gilbert
Publisher Pearson
Pages 0
Release 2005
Genre Algebraic logic
ISBN 9780131848689

Download An Introduction to Mathematical Thinking Book in PDF, Epub and Kindle

Besides giving readers the techniques for solving polynomial equations and congruences, An Introduction to Mathematical Thinking provides preparation for understanding more advanced topics in Linear and Modern Algebra, as well as Calculus. This book introduces proofs and mathematical thinking while teaching basic algebraic skills involving number systems, including the integers and complex numbers. Ample questions at the end of each chapter provide opportunities for learning and practice; the Exercises are routine applications of the material in the chapter, while the Problems require more ingenuity, ranging from easy to nearly impossible. Topics covered in this comprehensive introduction range from logic and proofs, integers and diophantine equations, congruences, induction and binomial theorem, rational and real numbers, and functions and bijections to cryptography, complex numbers, and polynomial equations. With its comprehensive appendices, this book is an excellent desk reference for mathematicians and those involved in computer science.

An Introduction to Mathematical Reasoning

An Introduction to Mathematical Reasoning
Title An Introduction to Mathematical Reasoning PDF eBook
Author Peter J. Eccles
Publisher Cambridge University Press
Pages 364
Release 2013-06-26
Genre Mathematics
ISBN 1139632566

Download An Introduction to Mathematical Reasoning Book in PDF, Epub and Kindle

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

Puzzles, Paradoxes, and Problem Solving

Puzzles, Paradoxes, and Problem Solving
Title Puzzles, Paradoxes, and Problem Solving PDF eBook
Author Marilyn A. Reba
Publisher CRC Press
Pages 605
Release 2014-12-15
Genre Mathematics
ISBN 1482297930

Download Puzzles, Paradoxes, and Problem Solving Book in PDF, Epub and Kindle

A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress

How Not to Be Wrong

How Not to Be Wrong
Title How Not to Be Wrong PDF eBook
Author Jordan Ellenberg
Publisher Penguin Press
Pages 480
Release 2014-05-29
Genre Mathematics
ISBN 1594205221

Download How Not to Be Wrong Book in PDF, Epub and Kindle

A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Distilling Ideas

Distilling Ideas
Title Distilling Ideas PDF eBook
Author Brian P. Katz
Publisher MAA
Pages 189
Release 2013
Genre Education
ISBN 1939512034

Download Distilling Ideas Book in PDF, Epub and Kindle

Introduction -- Graphs -- Groups -- Calculus -- Conclusion.