The Heart of Calculus

Explorations and Applications

Philip M. Anselone, John W. Lee

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Hardback

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English

Mathematical Association of America
13 August 2015

Calculus

Series: Classroom Resource Materials

This book contains enrichment material for courses in first and second year calculus, differential equations, modeling, and introductory real analysis. It targets talented students who seek a deeper understanding of calculus and its applications. The book can be used in honors courses, undergraduate seminars, independent study, capstone courses taking a fresh look at calculus, and summer enrichment programs. The book develops topics from novel and/or unifying perspectives. Hence, it is also a valuable resource for graduate teaching assistants developing their academic and pedagogical skills and for seasoned veterans who appreciate fresh perspectives.

The explorations, problems, and projects in the book impart a deeper understanding of and facility with the mathematical reasoning that lies at the heart of calculus and conveys something of its beauty and depth. A high level of rigor is maintained. However, with few exceptions, proofs depend only on tools from calculus and earlier. Analytical arguments are carefully structured to avoid epsilons and deltas. Geometric and/or physical reasoning motivates challenging analytical discussions. Consequently, the presentation is friendly and accessible to students at various levels of mathematical maturity. Logical reasoning skills at the level of proof in Euclidean geometry suffice for a productive use of the book.

By: Philip M. Anselone, John W. Lee
Imprint: Mathematical Association of America
Country of Publication: United States
Dimensions: Height: 260mm, Width: 182mm, Spine: 18mm
Weight: 587g
ISBN: 9780883857878
ISBN 10: 0883857871
Series: Classroom Resource Materials
Pages: 228
Publication Date: 13 August 2015
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Active

Philip M. Anselone is Professor Emeritus at Oregon State University. John Lee is Professor Emeritus at Oregon State University.

Reviews for The Heart of Calculus: Explorations and Applications

The Heart of Calculus guides readers through a variety of focused and in-depth investigations to demonstrate the beauty and completeness of the calculus..."" - Mathematics Teacher