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