The Art of Proof: Basic Training for Deeper Mathematics by Beck, Matthias

The Art of Proof: Basic Training for Deeper Mathematics (Hardcover) (ISBN-13: 9781441970220)

Vendor: Matthias Beck
Product type: Books
Format: Hardcover
$39.95
$39.95
$39.95
Subtotal: $39.95
The Art of Proof: Basic Training for Deeper Mathematics by Beck, Matthias

The Art of Proof: Basic Training for Deeper Mathematics

$39.95
The Art of Proof: Basic Training for Deeper Mathematics by Beck, Matthias

The Art of Proof: Basic Training for Deeper Mathematics

$39.95
Format: Hardcover
Description
Description
x
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.

Author: Matthias Beck, Ross Geoghegan
ISBN-10: 1441970223
ISBN-13: 9781441970220
Publisher: Springer
Language: English
Published: 08/31/2010
Pages: 182
Format: Hardcover
Weight: 1.27lbs
Size: 10.00h x 7.00w x 0.50d

Review Citation(s):
Choice 04/01/2011
By Matthias Beck
By Matthias Beck
x

Matthias Beck received his initial training in mathematics in W?zburg, Germany, received his Ph.D. in mathematics from Temple University, and is now associate professor of mathematics at San Francisco State University. He is the recipient of the 2013 MAA Haimo Award for Distinguished College or University Teaching of Mathematics. He is the author of a previously published Springer book, Computing the Continuous Discretely (with Sinai Robins).

Ross Geoghegan received his initial training in mathematics in Dublin, Ireland, received his Ph.D. in mathematics from Cornell University, and is now professor of mathematics at the State University of New York at Binghamton. He is the author of a previously published Springer book, Topological Methods in Group Theory.

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