This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.
• It promotes understanding and technical development on an equal footing
• By using monotonic sequences and dyadic numbers, it provides an intuitive, yet fully rigorous, treatment of the differential and integral calculus that is technically suitable for both mathematics and non-mathematics majors
• It motivates by providing a historical and cultural background for mathematics
Yale University Library