**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

**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.

(

**8125**views)

**Book of Proof**

by

**Richard Hammack**-

**Virginia Commonwealth University**

This textbook is an introduction to the standard methods of proving mathematical theorems. It is written for an audience of mathematics majors at Virginia Commonwealth University, and is intended to prepare the students for more advanced courses.

(

**28858**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.

(

**5486**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).

(

**10682**views)