Honors Calculus

Charles R. MacCluer

180 pages, parution le 27/04/2006

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Résumé

This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexibility for the instructor and allows the student to see the overall flow of the development. At the same time, the book reveals the origins of the calculus in celestial mechanics and number theory.

The book introduces many topics often left to the appendixes in standard calculus textbooks and develops their connections with physics, engineering, and statistics. The author uses applications of derivatives and integrals to show how calculus is applied in these disciplines. Solutions to all exercises (even those involving proofs) are available to instructors upon request, making this book unique among texts in the field.

Focuses on single variable calculus
Provides a balance of precision and intuition
Offers both routine and demanding exercises

L'auteur - Charles R. MacCluer

Charles R. MacCluer is Professor of Mathematics and director of the industrial mathematics program at Michigan State University. His first interest was algebraic number theory but later turned to the more practical disciplines of control theory, signal processing, building science, and industrial problems. He is the author of Industrial Mathematics, Boundary Value Problems and Fourier Expansions, and Calculus of Variations.

Sommaire

Functions on sets
The real numbers
Metric properties
Continuity
Limits and derivatives
Applications on the derivative
The Riemann integral
Infinite series

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Princeton University Press
Auteur(s)	Charles R. MacCluer
Parution	27/04/2006
Nb. de pages	180
Format	18,5 x 26
Couverture	Relié
Poids	490g
Intérieur	Noir et Blanc
EAN13	9780691125336
ISBN13	978-0-691-12533-6