This text develops the basic concepts and methods of calculus within the historical contexts in which the centreal ideas of trigonometry, analytic geometry, and calculus were first developed. Exercises are both thoughtful and applied, as are the numerous worked out examples found throughout the text.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Lower undergraduate
Illustrationen
540
540 s/w Abbildungen
XIV, 545 p. 540 illus.
Maße
Gewicht
ISBN-13
978-0-387-94606-1 (9780387946061)
Schweitzer Klassifikation
Part 1: From Archimedes to Newton.- The Greeks Measure the Universe.- Ptolemy and the dynamics of the universe.- Archimedes measures area.- A New Astronomy and a New Geometry.- The Calculus of Leibnitz.- The Calculus of Newton.- The Principia. Part 2: Calculus and the Sciences. - Analysis of Functions.- Statics, Dynamics and Optics.- Basic Functions and Their Graphs.- Exponential Functions.- The Calculus of Economics.- Integral Calculus: Meaning and Methods.- Integral Calculus and the meaning of Forces.