Description
Book SynopsisThis textbook covers key topics of Elementary Calculus through selected exercises, in a sequence that facilitates development of problem-solving abilities and techniques. It opens with an introduction to fundamental facts of mathematical logic, set theory, and pre-calculus, extending toward functions, limits, derivatives, and integrals. Over 300 solved problems are approached with a simple, direct style, ordered in a way that positively challenges students and helps them build self-confidence as they progress. A special final chapter adds five carefully crafted problems for a comprehensive recap of the work.
The book is aimed at first-year students of fields in which calculus and its applications have a role, including Science, Technology, Engineering, Mathematics, Economics, Architecture, Management, and Applied Social Sciences, as well as students of Quantitative Methods courses. It can also serve as rich supplementary reading for self-study.
Trade Review“Mastering Calculus through Practice offers a large number of challenging exercises, as well as complete solutions to these problems. … for someone who has seen the material before and is looking to strengthen (or, indeed, master) the material, working through these problems could prove beneficial.” (John Ross, MAA Reviews, June 20, 2022)
Table of ContentsPreface.- Preliminaries.- Functions.- Limits.- Derivatives.- Integrals.- Brief recap.- Solutions.- Appendix A: Pyramid and inequality.- Appendix B: Sources.- Index.
