**Fundamental Concepts of Mathematics**

by Farshid Hajir

**Publisher**: University of Massachusetts 2005**Number of pages**: 69

**Description**:

Contents: Problem Solving, Inductive vs. Deductive Reasoning, An introduction to Proofs; Logic and Sets; Sets and Maps; Counting Principles and Finite Sets; (Equivalence) Relations and Partitions; Induction; Number Theory; Counting and Uncountability; Complex Numbers.

Download or read it online for free here:

**Download link**

(500KB, PDF)

## Similar books

**Proof in Mathematics: An Introduction**

by

**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.

(

**3298**views)

**Proofs in Mathematics**

by

**Alexander Bogomolny**-

**Interactive Mathematics Miscellany and Puzzles**

I'll distinguish between two broad categories. The first is characterized by simplicity. In the second group the proofs will be selected mainly for their charm. Most of the proofs in this book should be accessible to a middle grade school student.

(

**7855**views)

**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.

(

**15837**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.

(

**7832**views)