nach der Bestellung gedruckt Neuware - Printed after ordering - The fundamental tool of theoretical mathematics is mathematical proof. Any claim or justification a mathematician makes must be proven. This book is designed for a reader who wants to learn what exactly a mathematical proof is, how they are constructed, and how to go about writing one.

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Detalles bibliogr�ficos

T�tulo: A Transition to Proof : An Introduction to Advanced Mathematics
Editor: CRC Press
Fecha de publicaci�n: 2019
Idioma: Ingl�s
ISBN 10: 0367201577
ISBN 13: 9780367201579
Encuadernaci�n: Buch
Estado: Neu

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Sinopsis

A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively.

The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof.

Features:

The text is aimed at transition courses preparing students to take analysis

Promotes creativity, intuition, and accuracy in exposition

The language of proof is established in the first two chapters, which cover logic and set theory

Includes chapters on cardinality and introductory topology

Acerca del autor

Dr. Neil R. Nicholson is Associate Professor of Mathematics at North Central College. He holds a Ph.D. in Mathematics from The University of Iowa, specializing in knot theory. His research interests have consistently been topics accessible to undergraduates; collaborating with them on original research is a fundamental goal of his professional development. In 2015, he earned the Clarence F. Dissinger Award for Junior Faculty Teaching at North Central College. He serves as the Faculty Athletic Representative to the NCAA for North Central College.

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