Brown P. Foundations of Mathematics. Algebra, Geometry,...2016

Textbook in PDF format

Foundations of Mathematicsoffers the university student or interested reader a unique reference book by covering the basics of algebra, trigonometry, geometry, and calculus. There are many instances in the book to demonstrate the interplay and interconnectedness of these topics. The book presents definitions and examples throughout for clear, easy learning. Numerous exercises are included at the ends of the chapters, and readers are encouraged to complete all of them as an essential part of working through the book. It offers a unique experience for readers to understand different areas of mathematics in one clear, concise text. Instructors' resources are available upon adoption.
Preface
The Laws of Algebra
The Cartesian Plane
Solving Equations and Factorizing Polynomials
Trigonometry
Functions
Techniques of Algebra
Limits
Differential Calculus
Euclidean Geometry
Spherical Trigonometry
Appendix A. Answers to Selected Exercises