An Introduction To Mathematical Reasoning
Download An Introduction To Mathematical Reasoning full books in PDF, epub, and Kindle. Read online free An Introduction To Mathematical Reasoning ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
An Introduction to Mathematical Reasoning
Author | : Peter J. Eccles |
Publsiher | : Cambridge University Press |
Total Pages | : 366 |
Release | : 1997-12-11 |
Genre | : Mathematics |
ISBN | : 0521597188 |
Download An Introduction to Mathematical Reasoning Book in PDF, Epub and Kindle
The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. 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.
Mathematical Reasoning
Author | : Theodore A. Sundstrom |
Publsiher | : Prentice Hall |
Total Pages | : 0 |
Release | : 2007 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : 0131877186 |
Download Mathematical Reasoning Book in PDF, Epub and Kindle
Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom
Introduction to Mathematical Thinking
Author | : Keith J. Devlin |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0615653634 |
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.
An Introduction to Mathematical Thinking
Author | : William J. Gilbert,Scott A. Vanstone |
Publsiher | : Pearson |
Total Pages | : 0 |
Release | : 2005 |
Genre | : Algebraic logic |
ISBN | : 0131848682 |
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
Author | : Peter J. Eccles |
Publsiher | : Cambridge University Press |
Total Pages | : 393 |
Release | : 1997-12-11 |
Genre | : Mathematics |
ISBN | : 9781139643368 |
Download An Introduction to Mathematical Reasoning Book in PDF, Epub and Kindle
The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory, topics which include many fundamental ideas which are part of the tool kit of any mathematician. 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 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. Over 250 problems include questions to interest and challenge the most able student as well as plenty of routine exercises to help familiarize the reader with the basic ideas.
The Tools of Mathematical Reasoning
Author | : Tamara J. Lakins |
Publsiher | : American Mathematical Soc. |
Total Pages | : 217 |
Release | : 2016-09-08 |
Genre | : General -- Instructional exposition (textbooks, tutorial papers, etc.) |
ISBN | : 9781470428990 |
Download The Tools of Mathematical Reasoning Book in PDF, Epub and Kindle
This accessible textbook gives beginning undergraduate mathematics students a first exposure to introductory logic, proofs, sets, functions, number theory, relations, finite and infinite sets, and the foundations of analysis. The book provides students with a quick path to writing proofs and a practical collection of tools that they can use in later mathematics courses such as abstract algebra and analysis. The importance of the logical structure of a mathematical statement as a framework for finding a proof of that statement, and the proper use of variables, is an early and consistent theme used throughout the book.
Mathematical Reasoning
Author | : Lyn D. English |
Publsiher | : Routledge |
Total Pages | : 407 |
Release | : 2013-04-03 |
Genre | : Education |
ISBN | : 9781136491146 |
Download Mathematical Reasoning Book in PDF, Epub and Kindle
How we reason with mathematical ideas continues to be a fascinating and challenging topic of research--particularly with the rapid and diverse developments in the field of cognitive science that have taken place in recent years. Because it draws on multiple disciplines, including psychology, philosophy, computer science, linguistics, and anthropology, cognitive science provides rich scope for addressing issues that are at the core of mathematical learning. Drawing upon the interdisciplinary nature of cognitive science, this book presents a broadened perspective on mathematics and mathematical reasoning. It represents a move away from the traditional notion of reasoning as "abstract" and "disembodied", to the contemporary view that it is "embodied" and "imaginative." From this perspective, mathematical reasoning involves reasoning with structures that emerge from our bodily experiences as we interact with the environment; these structures extend beyond finitary propositional representations. Mathematical reasoning is imaginative in the sense that it utilizes a number of powerful, illuminating devices that structure these concrete experiences and transform them into models for abstract thought. These "thinking tools"--analogy, metaphor, metonymy, and imagery--play an important role in mathematical reasoning, as the chapters in this book demonstrate, yet their potential for enhancing learning in the domain has received little recognition. This book is an attempt to fill this void. Drawing upon backgrounds in mathematics education, educational psychology, philosophy, linguistics, and cognitive science, the chapter authors provide a rich and comprehensive analysis of mathematical reasoning. New and exciting perspectives are presented on the nature of mathematics (e.g., "mind-based mathematics"), on the array of powerful cognitive tools for reasoning (e.g., "analogy and metaphor"), and on the different ways these tools can facilitate mathematical reasoning. Examples are drawn from the reasoning of the preschool child to that of the adult learner.
Discrete Mathematics
Author | : Susanna S. Epp |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : OCLC:1301967373 |
Download Discrete Mathematics Book in PDF, Epub and Kindle