Designed for undergraduate math majors, this rewarding and rigorous treatment, Calculus: A Rigorous First Course (PDF/ePub) covers the usual topics of first-year calculus: derivatives, limits, infinite series and integrals. Author Daniel J. Velleman focuses on calculus as a tool for real problem-solving rather than the subject’s theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this etextbook teaches problem-solving by reasoning, not just calculation or rote learning. The goal of the textbook is an understanding of calculus that is deep enough to allow the undergrad student to not only find answers to problems but also achieve certainty of the answers’ correctness.
No background in calculus is necessary. Prerequisites include proficiency in trigonometry and basic algebra, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the textbook and includes selected answers. Complete solutions are available to instructors separately.
NOTE: This sale only includes the ebook Calculus: A Rigorous First Course in the original ePub format. A converted PDF is also available on request.