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An Introduction to Mathematical Reasoning
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  • Cited by 3
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    This book has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Elmouki, Ilias and Saadi, Smahane 2016. Quadratic and linear controls developing an optimal treatment for the use of BCG immunotherapy in superficial bladder cancer. Optimal Control Applications and Methods, Vol. 37, Issue. 1, p. 176.

    Kercel, Stephen 2006. Systems Biology. p. 139.

    KERCEL, STEPHEN W. 2004. THE ENDOGENOUS BRAIN. Journal of Integrative Neuroscience, Vol. 03, Issue. 01, p. 61.

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Book description

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.

Reviews

‘The book is written with understanding of the needs of students …’

Source: European Mathematical Society

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