The Heart of Calculus : Explorations and Applications

Philip M Anselone

ISBN 10: 0883857871 / ISBN 13: 9780883857878

Editore: Mathematical Association Of America (MAA) Aug 2015, 2015

Riguardo questo articolo

Neuware - 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.

Codice articolo 9780883857878

Dati bibliografici

• Titolo: The Heart of Calculus : Explorations and Applications
• Editore: Mathematical Association Of America (MAA) Aug 2015
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 0883857871
• ISBN 13: 9780883857878
• Rilegatura: Buch
• Condizione: Neu

Descrizione articolo

Riassunto

Accessible enrichment material for talented undergraduate students taking courses in calculus, differential equations, modelling, and real analysis.

Informazioni sugli autori

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

John Lee is Professor Emeritus at Oregon State University.