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Viser: Mathematics and Its History
Detaljer Om Varen
- 3. Udgave
- Paperback: 684 sider
- Udgiver: Springer (Oktober 2012)
- ISBN: 9781461426325
"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 book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it's accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.
to the Third Edition. - Preface
to the Second Edition. - Preface
to the First Edition. - The Theorem of Pythagoras. - Greek Geometry. - Greek Number 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. -