Introductory Concepts for Abstract Mathematics (Hardcover) (ISBN-13: 9781584881346)

Beyond calculus, the world of mathematics grows increasingly abstract and places new and challenging demands on those venturing into that realm. As the focus of calculus instruction has become increasingly computational, it leaves many students ill prepared for more advanced work that requires the ability to understand and construct proofs.

Introductory Concepts for Abstract Mathematics helps readers bridge that gap. It teaches them to work with abstract ideas and develop a facility with definitions, theorems, and proofs. They learn logical principles, and to justify arguments not by what seems right, but by strict adherence to principles of logic and proven mathematical assertions - and they learn to write clearly in the language of mathematics

The author achieves these goals through a methodical treatment of set theory, relations and functions, and number systems, from the natural to the real. He introduces topics not usually addressed at this level, including the remarkable concepts of infinite sets and transfinite cardinal numbers

Introductory Concepts for Abstract Mathematics takes readers into the world beyond calculus and ensures their voyage to that world is successful. It imparts a feeling for the beauty of mathematics and its internal harmony, and inspires an eagerness and increased enthusiasm for moving forward in the study of mathematics.

Author: Kenneth E. Hummel
ISBN-10: 1584881348
ISBN-13: 9781584881346
Publisher: CRC Press
Language: English
Published: 03/23/2000
Pages: 344
Format: Hardcover
Weight: 1.45lbs
Size: 9.21h x 6.14w x 0.81d

Review Citation(s):
Scitech Book News 09/01/2000 pg. 15
Choice 12/01/2000 pg. 741