# Principles of Mathematics

## Overview

**Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics**

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An accessible treatment of the fundamentals of modern mathematics, *Principles of Mathematics: A Primer *provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra.

The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, *Principles of Mathematics: A* *Primer *features:

- Detailed explanations of important theorems and their applications
- Hundreds of completely solved problems throughout each chapter
- Numerous exercises at the end of each chapter to encourage further exploration
- Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics

*Principles of Mathematics: A Primer *is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences.

**Vladimir Lepetic, PhD,** is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, foundations of mathematics, and the philosophy of mathematics.