Proofs and Concepts: the fundamentals of abstract mathematics

Proofs and Concepts: the fundamentals of abstract mathematics

Proofs and Concepts: the fundamentals of abstract mathematics
by Dave Witte Morris, Joy Morris

Publisher: University of Lethbridge 2009
Number of pages: 220

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.

Home page url

Download or read it online here:
Download link
(1.8MB, PDF)

Similar books

Fundamental Concepts of MathematicsFundamental Concepts of Mathematics
by Farshid Hajir - University of Massachusetts
Problem Solving, Inductive vs. Deductive Reasoning, An introduction to Proofs; Logic and Sets; Sets and Maps; Counting Principles and Finite Sets; Relations and Partitions; Induction; Number Theory; Counting and Uncountability; Complex Numbers.
An Introduction to Mathematical ReasoningAn Introduction to Mathematical Reasoning
by 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.
A Introduction to Proofs and the Mathematical VernacularA Introduction to Proofs and the Mathematical Vernacular
by Martin Day
The book helps students make the transition from freshman-sophomore calculus to more proof-oriented upper-level mathematics courses. Another goal is to train students to read more involved proofs they may encounter in textbooks and journal articles.
Mathematical Reasoning: Writing and ProofMathematical Reasoning: Writing and Proof
by Ted Sundstrom - Pearson Education, Inc.
'Mathematical Reasoning' is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.