The Art of Proof: Basic Training for Deeper Mathematics Tapa dura - 2010 - 2010th Edición
de Matthias Beck; Ross Geoghegan
Descripción de contraportada
The Art of Proof is designed for a one-semester or two-quarter course. A typical student will have studied calculus (perhaps also linear algebra) with reasonable success. With an artful mixture of chatty style and interesting examples, the student's previous intuitive knowledge is placed on solid intellectual ground. The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. Methods, such as axiom, theorem and proof, are taught while discussing the mathematics rather than in abstract isolation. Some of the proofs are presented in detail, while others (some with hints) may be assigned to the student or presented by the instructor. The authors recommend that the two parts of the book -- Discrete and Continuous -- be given equal attention. The book ends with short essays on further topics suitable for seminar-style presentation by small teams of students, either in class or in a mathematics club setting. These include: continuity, cryptography, groups, complex numbers, ordinal number, and generating functions.
Detalles
- Título The Art of Proof: Basic Training for Deeper Mathematics
- Autor Matthias Beck; Ross Geoghegan
- Encuadernación Tapa dura
- Número de edición 2010th
- Edición 2010
- Páginas 182
- Volúmenes 1
- Idioma ENG
- Editorial Springer
- Fecha de publicación 2010-08-31
- Ilustrado Sí
- Features Illustrated
- ISBN 9781441970220 / 1441970223
- Peso 1.27 libras (0.58 kg)
- Dimensiones 10 x 7 x 0.5 pulgadas (25.40 x 17.78 x 1.27 cm)
-
Temas
- Aspects (Academic): Science/Technology Aspects
- Número de catálogo de la Librería del Congreso de EEUU 2010934105
- Dewey Decimal Code 510
Reseñas en medios
Citas
- Choice, 04/01/2011, Page 0
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