A Mathematical Bridge: An Intuitive Journey in Higher Mathematics - Couverture souple

Hewson, Stephen Fletcher

 
9789812385550: A Mathematical Bridge: An Intuitive Journey in Higher Mathematics

Synopsis

This book is an alternative and highly engaging introduction to the highlights of a typical undergraduate mathematics course. Building on very simple principles, it develops these mathematical highlights, known to every well-rounded mathematician, in an intuitive and entertaining way. The aim of the book is to motivate and inspire the reader to discover and understand some of these truly amazing mathematical structures and ideas which are frequently not fully grasped, pass unnoticed or simply swamped in an undergraduate mathematics course. For the experienced mathematician the book offers refreshing, often enlightening, hindsight. For the novice it is an exciting intellectual journey.

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Présentation de l'éditeur

Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does. The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.

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Autres éditions populaires du même titre

9789812385543: A Mathematical Bridge: An Intuitive Journey in Higher Mathematics

Edition présentée

ISBN 10 :  9812385541 ISBN 13 :  9789812385543
Editeur : World Scientific Publishing Co P..., 2003
Couverture rigide