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The Heart of Calculus

Explorations and Applications

Philip M. Anselone (Oregon State University) John Lee (Oregon State University)



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Mathematical Association of America
13 August 2015
Targeting talented students who seek a deeper understanding of calculus and its applications, this book contains enrichment material for courses in first- and second-year calculus, differential equations, modelling, and introductory real analysis. Maintaining a high level of rigour whilst avoiding epsilons and deltas, the explorations, problems, and projects in the book impart a deeper understanding of the mathematical reasoning that lies at the heart of calculus and conveys its beauty and depth. The presentation is friendly and accessible to students at various levels of mathematical maturity, requiring only basic logical reasoning skills as a prerequisite. The sixteen largely independent chapters, divided equally between pure and applied mathematics, present material that includes fundamentals of differential calculus and celestial motion and gravitation, along with other significant topics chosen for their intrinsic interest, historical influence, and continuing importance.
By:   Philip M. Anselone (Oregon State University), John Lee (Oregon State University)
Imprint:   Mathematical Association of America
Country of Publication:   United States
Dimensions:   Height: 261mm,  Width: 182mm,  Spine: 18mm
Weight:   600g
ISBN:   9780883857878
ISBN 10:   0883857871
Pages:   245
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

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