**An Introduction to Higher Mathematics**

by Patrick Keef, David Guichard, Russ Gordon

**Publisher**: Whitman College 2010**Number of pages**: 144

**Description**:

Contents: Logic (Logical Operations, De Morgan's Laws, Logic and Sets); Proofs (Direct Proofs, Existence proofs, Mathematical Induction, Indirect Proof); Number Theory (The Euclidean Algorithm, The Fundamental Theorem of Arithmetic); Functions (Injections and Surjections, Cardinality and Countability, Uncountability of the Reals).

Download or read it online for free here:

**Download link**

(730KB, 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.

(

**5180**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.

(

**11628**views)

**An Inquiry-Based Introduction to Proofs**

by

**Jim Hefferon**-

**Saint Michael's College**

Introduction to Proofs is a Free undergraduate text. It is inquiry-based, sometimes called the Moore method or the discovery method. It consists of a sequence of exercises, statements for students to prove, along with a few definitions and remarks.

(

**6390**views)

**How To Write Proofs**

by

**Larry W. Cusick**-

**California State University, Fresno**

Proofs are the heart of mathematics. What is the secret? The short answer is: there is no secret, no mystery, no magic. All that is needed is some common sense and a basic understanding of a few trusted and easy to understand techniques.

(

**7419**views)