From the reviews of the second edition: 'This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here.' (David Parrott, Australian Mathematical Society) This third edition includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincare conjecture. The book has also been enriched by added exercises. New edition extensively revised and updated The author’s style and exposition are unique Features new exercises throughout the book Contains a new sectionon the Poincare conjecture Includes new chapters on simple groups and combinatorics INDICE: Preface to the Third Edition.- Preface to the Second Edition.- Preface to the First Edition.- The Theorem of Pythagoras.- Greek Geometry.- GreekNumber Theory.- Infinity in Greek Mathematics.- Number Theory in Asia.- Polynomial Equations.- Analytic Geometry.- Projective Geometry.- Calculus.- Infinite Series.- The Number Theory Revival.- Elliptic Functions.- Mechanics.- Complex Numbers in Algebra.- Complex Numbers and Curves.- Complex Numbers and Functions.- Differential Geometry.- Non-Euclidean Geometry.- Group Theory.- Hypercomplex Numbers.- Algebraic Number Theory.- Topology.- Simple Groups.- Sets, Logic, and Computation.- Combinatorics.- Bibliography.- Index.-
- ISBN: 978-1-4419-6052-8
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 660
- Fecha Publicación: 23/08/2010
- Nº Volúmenes: 1
- Idioma: Inglés