A Transition to Abstract Mathematics: Mathematical Thinking and Writing - Couverture rigide

Maddox, Randall

 
9780123744807: A Transition to Abstract Mathematics: Mathematical Thinking and Writing
Couverture rigide
ISBN 10 : 0123744806 ISBN 13 : 9780123744807
Editeur : Academic Press Inc, 2008

Synopsis

Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. A Transition to Abstract Mathematics teaches readers to construct proofs and communicate with the precision necessary for working with abstraction. It is based on two premises: composing clear and accurate mathematical arguments is critical in abstract mathematics, and that this skill requires development and support. Abstraction is the destination, not the starting point.Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure. After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas.

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À propos de l?auteur

By Randall Maddox, Pepperdine University, Malibu, CA, USA

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Academic Press Inc
Date d'édition
2008
Langue
anglais
ISBN 10 
0123744806
ISBN 13 
9780123744807
Reliure
Relié
Numéro d'édition
2
Nombre de pages
384
Coordonnées du fabricant
non disponible
Personne responsable
Yeepin GmbH
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sunshine12232@outlook.com

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Autres éditions populaires du même titre

9780323281256: A Transition to Abstract Mathematics: Learning Mathematical Thinking and Writing, Second Edition

Edition présentée

ISBN 10 :  0323281257 ISBN 13 :  9780323281256
Editeur : Academic Press, 2014
Couverture souple