Learning Basic Calculus: From Archimedes to Newton to Its Role in ScienceSpringer Science & Business Media, 1998 - 545 עמודים This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject. |
תוכן
Ptolemy and the Dynamics of the Universe | 29 |
A New Astronomy and a New Geometry | 71 |
Connections with Statics Dynamics and Optics | 249 |
The Exponential Function and the Measurement | 333 |
Meaning and Method | 435 |
Integral Calculus and the Action of Forces | 475 |
535 | |
מונחים וביטויים נפוצים
acceleration analysis angle antiderivative approximation Archimedes atoms axis barbell barrel basic calculus centripetal force chain rule circle circular sector compute Consider constant coordinate cos² cost curve definite integral demand derivative determined distance Earth ellipse equal Example Exercises feet follows force formula function f(x Galileo given graph of ƒ gravitational hence horizontal hyperbola ice cube increase interval Kepler's latus rectum Leibniz length lens lim f(x main cables mass mathematical meters million Moon motion neutrons Newton object Observe orbit output parabola plane population position pounds radians radioactive radius ratio real numbers Recall Refer to Figure rotation segment semimajor axis shown in Figure shows slope specific growth rate sphere Suppose surface t₁ tangent theorem triangle units velocity vertical weight x-axis zero
הפניות לספר זה
Groundbreaking Scientific Experiments, Inventions, and Discoveries of the ... <span dir=ltr>Jonathan Shectman</span> אין תצוגה מקדימה זמינה - 2003 |