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

by Martin Day

**Publisher**: Virginia Tech 2016**Number of pages**: 147

**Description**:

The students taking this course have completed a standard technical calculus sequence. We now want them to start thinking in terms of properties of mathematical objects and logical deduction, and to get them used to writing in the customary language of mathematics. Another goal is to train students to read more involved proofs such as they may encounter in textbooks and journal articles.

Download or read it online for free here:

**Download link**

(1.2MB, 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.

(

**10421**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).

(

**12289**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.

(

**8714**views)

**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.

(

**12211**views)