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The Heart of Calculus: Explorations and Applications (Classroom Resource Materials) - Hardcover

 
9780883857878: The Heart of Calculus: Explorations and Applications (Classroom Resource Materials)

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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.

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About the Authors

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

John Lee is Professor Emeritus at Oregon State University.

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Anselone, Philip; Lee, John
ISBN 10: 0883857871 ISBN 13: 9780883857878
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ISBN 10: 0883857871 ISBN 13: 9780883857878
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Condition: New. Accessible enrichment material for talented undergraduate students taking courses in calculus, differential equations, modelling, and real analysis. Num Pages: 245 pages. BIC Classification: PBKA. Category: (U) Tertiary Education (US: College). Dimension: 253 x 177 x 18. . . 2015. Hardcover. . . . . Seller Inventory # V9780883857878

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ISBN 10: 0883857871 ISBN 13: 9780883857878
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Hardback. Condition: New. Illustrated. 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. Seller Inventory # LU-9780883857878

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Condition: New. Accessible enrichment material for talented undergraduate students taking courses in calculus, differential equations, modelling, and real analysis. Num Pages: 245 pages. BIC Classification: PBKA. Category: (U) Tertiary Education (US: College). Dimension: 253 x 177 x 18. . . 2015. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780883857878

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