**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

**A Introduction to Proofs and the Mathematical Vernacular**

by

**Martin Day**-

**Virginia Tech**

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.

(

**15635**views)

**Mathematical 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.

(

**7654**views)

**A Gentle Introduction to the Art of Mathematics**

by

**Joseph Fields**-

**Southern Connecticut State University**

The point of this book is to help you with the transition from doing math at an elementary level (concerned mostly with solving problems) to doing math at an advanced level (which is much more concerned with axiomatic systems and proving statements).

(

**9188**views)

**Fundamental 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.

(

**9971**views)