An Introduction To Mathematical Reasoning
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An Introduction To Mathematical Reasoning
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Author : Peter J. Eccles
language : en
Publisher: Cambridge University Press
Release Date : 1997-12-11
An Introduction To Mathematical Reasoning written by Peter J. Eccles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-11 with Mathematics categories.
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.
Discrete Mathematics
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Author : Susanna S. Epp
language : en
Publisher:
Release Date : 2011
Discrete Mathematics written by Susanna S. Epp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Discrete Mathematics Introduction To Mathematical Reasoning
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Author : Susanna S. Epp
language : en
Publisher: Cengage Learning
Release Date : 2014-07-18
Discrete Mathematics Introduction To Mathematical Reasoning written by Susanna S. Epp and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-18 with Mathematics categories.
Susanna Epp's DISCRETE MATHEMATICS: AN INTRODUCTION TO MATHEMATICAL REASONING, provides the same clear introduction to discrete mathematics and mathematical reasoning as her highly acclaimed DISCRETE MATHEMATICS WITH APPLICATIONS, but in a compact form that focuses on core topics and omits certain applications usually taught in other courses. The book is appropriate for use in a discrete mathematics course that emphasizes essential topics or in a mathematics major or minor course that serves as a transition to abstract mathematical thinking. The ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. This book offers a synergistic union of the major themes of discrete mathematics together with the reasoning that underlies mathematical thought. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision, helping students develop the ability to think abstractly as they study each topic. In doing so, the book provides students with a strong foundation both for computer science and for other upper-level mathematics courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
An Introduction To Mathematical Reasoning
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Author : Peter Eccles
language : en
Publisher:
Release Date : 1997
An Introduction To Mathematical Reasoning written by Peter Eccles and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
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.
Student Solutions Manual And Study Guide For Epp S Discrete Mathematics Introduction To Mathematical Reasoning
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Author : Susanna S. Epp
language : en
Publisher: Cengage Learning
Release Date : 2011
Student Solutions Manual And Study Guide For Epp S Discrete Mathematics Introduction To Mathematical Reasoning written by Susanna S. Epp and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Mathematical Reasoning
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Author : Theodore A. Sundstrom
language : en
Publisher: Prentice Hall
Release Date : 2007
Mathematical Reasoning written by Theodore A. Sundstrom and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Logic, Symbolic and mathematical categories.
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
An Introduction To Mathematical Reasoning
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Author : Boris Iglewicz
language : en
Publisher:
Release Date : 1973
An Introduction To Mathematical Reasoning written by Boris Iglewicz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
What is mathematics; Symbolic logic; A reviw of number and notation; Further review topics; Introduction to proofs; Direct proof I; Direct Proog II; Indirect proof; Analogy abnd geometric proof.
Elements Of Mathematical And Logical Reasoning An Introduction
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Author : Alberto Fragio Gistau
language : en
Publisher:
Release Date : 2020
Elements Of Mathematical And Logical Reasoning An Introduction written by Alberto Fragio Gistau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
Mathematical Reasoning
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Author : Lyn D. English
language : en
Publisher: Routledge
Release Date : 2013-04-03
Mathematical Reasoning written by Lyn D. English and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-03 with Education categories.
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.
An Introduction To Mathematical Cognition
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Author : Camilla Gilmore
language : en
Publisher: Routledge
Release Date : 2018-06-13
An Introduction To Mathematical Cognition written by Camilla Gilmore and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-13 with Psychology categories.
The last decade has seen a rapid growth in our understanding of the cognitive systems that underlie mathematical learning and performance, and an increased recognition of the importance of this topic. This book showcases international research on the most important cognitive issues that affect mathematical performance across a wide age range, from early childhood to adulthood. The book considers the foundational competencies of nonsymbolic and symbolic number processing before discussing arithmetic, conceptual understanding, individual differences and dyscalculia, algebra, number systems, reasoning and higher-level mathematics such as formal proof. Drawing on diverse methodology from behavioural experiments to brain imaging, each chapter discusses key theories and empirical findings and introduces key tasks used by researchers. The final chapter discusses challenges facing the future development of the field of mathematical cognition and reviews a set of open questions that mathematical cognition researchers should address to move the field forward. This book is ideal for undergraduate or graduate students of psychology, education, cognitive sciences, cognitive neuroscience and other academic and clinical audiences including mathematics educators and educational psychologists.