An Introduction to Mathematical Reasoning: Numbers, Sets and Functions by Peter J. EcclesThis 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 mathematicians 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.
An Introduction to Mathematical Reasoning: Numbers, Sets and Functions / Edition 1
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This course offers an introduction to mathematical reasoning and proofs. It is intended as a bridge between the loose, heuristic approach often used to teach elementary calculus, and the precise, formal style needed for upper-division mathematics courses. Eccles, Cambridge University Press, The text should be available at the campus bookstore, Stony Books, and other local bookstores. Most such merchants offer overnight shipping for an additional charge. Some students have asked me to suggest a supplementary book to read alongside the assigned text.
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[Discrete Mathematics] Introduction to Propositional Logic
Peter John Eccles born 6 September is a British mathematician and emeritus professor of mathematics at the University of Manchester. Eccles specialises in homotopy theory and its applications to different topology. Eccles taught a wide variety of pure mathematics throughout his career, and published the book Introduction to mathematical reasoning  in In addition to his mathematical publications, Eccles has been active in the Religious Society of Friends Quakers nationally and internationally throughout his adult life and was invited to give the Swarthmore Lecture , which was published as The presence in the midst: reflections on discernment. Eccles grew up attending Blackpool Quaker Meeting and during his teenage years developed a passionate interest in classical music , playing the piano, violin and viola as a child. From until , Eccles taught in various roles at the University of Manchester , moving from Lecturer, through to Senior Lecturer, Professor and finally Emeritus Professor.
View Larger Image. Ask Seller a Question. Title: An Introduction to Mathematical Reasoning Publisher: Cambridge University Press. 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.