
Proofs and Concepts: the fundamentals of abstract mathematics
by Dave Witte Morris, Joy Morris
Publisher: University of Lethbridge 2009
Number of pages: 220
Description:
This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.
Download or read it online for free here:
Download link
(1.8MB, PDF)
Similar books
Handbook of Mathematical Proofby Edward D. Kim - American Mathematical Society
This text can be used for an intro to proofs course, or a reference in a proof-based course. By going through this handbook, you will learn all that is necessary to prove and use mathematical statements. This will take some work ...
(1963 views)
Proof in Mathematics: An Introductionby James Franklin, Albert Daoud - Kew Books
This is a small (98 page) textbook designed to teach mathematics and computer science students the basics of how to read and construct proofs. The book takes a straightforward, no nonsense approach to explaining the core technique of mathematics.
(15884 views)
An Introduction to Higher Mathematicsby Patrick Keef, David Guichard, Russ Gordon - Whitman College
Contents: Logic (Logical Operations, De Morgan's Laws, Logic and Sets); Proofs (Direct Proofs, Existence proofs, Mathematical Induction); Number Theory (The Euclidean Algorithm); Functions (Injections and Surjections, Cardinality and Countability).
(17848 views)
An Introduction to Mathematical Reasoningby Peter J. Eccles - Cambridge University Press
This book introduces basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory.
(17822 views)