Introductory Concepts for Abstract Mathematics

ISBN-13: 9781584881346 / Angielski / Twarda / 2000 / 344 str.

Kenneth E. Hummel

Opis

Introductory Concepts for Abstract Mathematics helps readers bridge th at gap. It teaches them to work with abstract ideas and develop a faci lity with definitions, theorems, and proofs. They learn logical princi ples, 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. Introd uctory 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 ha rmony, and inspires an eagerness and increased enthusiasm for moving f orward in the study of mathematics.

Recenzje

"... very clearly written. Sophomore-level undergraduates should have no difficulty with the book."
-Zentralblatt fur Mathematik

Spis treści

Logical and Propositional Calculus. Sets and Set Operations. Cartesian Products. Relations, and Functions. Algebraic and Order Properties. Transfinite Cardinal Numbers. The Axiom of Choice and Ordinal Numbers. Reading List, Solutions to Selected Problems. Index

NTI/Sales Copy

O autorze

Hummel, Kenneth E.