Intended for all students in their freshman year of college, this book is organized around eight fundamental mathematical processes: conjecture, logical argumentation, formal demonstration, algorithmic thinking, correspondence, enumeration, limiting processes, and approximation. Topically, the book cuts across several traditional branches of mathematics including algebra, trigonometry, number theory, and analysis. Both formal demonstrations and problem solving with extensive applications to the physical sciences are stressed. Use of the microcomputer as a working tool is also emphasized throughout the book. This text would be useful in courses such as general college mathematics, introduction to mathematical thinking, and pre-calculus.Dence, Joseph B. is the author of 'First Course of Collegiate Mathematics' with ISBN 9780894645921 and ISBN 0894645927.