Description
Book SynopsisThis 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.
Table of ContentsQuadratic Equations; Diagrams; Functions; Inverse Functions; Numbers; Sets of Real Numbers; Series with Positive Entries; Review and Transition; Continuous Functions; Differentiable Functions; Applications of Differentiation; The Real Numbers; Integration Theory; Applications of Integration Theory.
