Book Details
Format
Hardback or Cased Book
Book Series
Undergraduate Texts in Mathematics
ISBN-10
1441970223
ISBN-13
9781441970220
Edition
2010 ed.
Publisher
Springer-Verlag New York Inc.
Imprint
Springer-Verlag New York Inc.
Country of Manufacture
US
Country of Publication
GB
Publication Date
Aug 31st, 2010
Print length
182 Pages
Weight
570 grams
Dimensions
26.40 x 18.90 x 1.80 cms
Ksh 6,500.00
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The topics covered include: integers, induction, algorithms, real numbers, rational numbers, modular arithmetic, limits, and uncountable sets. 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 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. 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.
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