**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

**Proofs and Concepts: the fundamentals of abstract mathematics**

by

**Dave Witte Morris, Joy Morris**-

**University of Lethbridge**

This 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.

(

**9080**views)

**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.

(

**2085**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.

(

**7060**views)

**An Introduction to Higher Mathematics**

by

**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).

(

**9086**views)