Numbers and Geometry - Couverture rigide

Stillwell, John

Couverture rigide

ISBN 10 : 0387982892 ISBN 13 : 9780387982892

Editeur : Springer-Verlag New York Inc., 1997

Synopsis

NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields-algebra, analysis and geometry-meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre- calculus) book. It can be read by any well prepared student entering university and will appeal to graduate students and researchers in mathematics.

A propos du livre

À propos de l'auteur

John Stillwell is Professor Emeritus at the University of San Francisco and formerly Associate Professor at Monash University in Melbourne, Australia. He is an accomplished author, whose Springer books include: The Four Pillars of Geometry, Elements of Algebra, Naive Lie Theory, and many more.

À propos de la quatrième de couverture

NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields--algebra, analysis and geometry--meet. The aim of this book is to give a broad view of these subjects at the level of calculus, without being a calculus (or a pre-calculus) book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. The key is algebra, which brings arithmetic and geometry together, and allows them to flourish and branch out in new directions. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He believes that most of mathematics is about numbers, curves and functions, and the links between these concepts can be suggested by a thorough study of simple examples, such as the circle and the square. This book covers the main ideas of Euclid--geometry, arithmetic and the theory of real numbers, but with 2000 years of extra insights attached. NUMBERS AND GEOMETRY presupposes only high school algebra and therefore can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics because it is such an attractive and unusual treatment of fundamental topics. Also, it will serve admirably in courses aimed at giving students from other areas a view of some of the basic ideas in mathematics. There is a set of well-written exercises at the end of each section, so new ideas can be instantly tested and reinforced.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 0387982892
• ISBN 13: 9780387982892
• Reliure: Relié
• Nombre de pages: 343
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne