Difference Equations to Differential Equations - An introduction to calculus
by Dan Sloughter
2000
Number of pages: 599
Description:
The study of calculus begins with questions about change. What happens to the velocity of a swinging pendulum as its position changes? What happens to the position of a planet as time changes? What happens to a population of owls as its rate of reproduction changes? Mathematically, one is interested in learning to what extent changes in one quantity affect the value of another related quantity. Through the study of the way in which quantities
change we are able to understand more deeply the relationships between the quantities themselves.
Download or read it online for free here:
Read online
(online reading)
Similar books
Elementary Calculus: An Approach Using Infinitesimalsby H. Jerome Keisler - Bodgen & Quigley
This is a calculus textbook at the college Freshman level based on infinitesimals. This approach puts the ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners than the more common approach via limits.
(20991 views)
Dr. Vogel's Gallery of Calculus Pathologiesby Thomas I. Vogel
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.
(16123 views)
Differential and Integral Calculusby C. E. Love, E. D. Rainville - The MacMillan Company
This book presents a first course in the calculus. The text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without a multitude of details.
(29926 views)
Mathematics For Engineering Studentsby Samuel Keller - D. Van Nostrand Company
Much that is ordinarily included in treatises on Analytics and Calculus, has been omitted from this book, not because it was regarded as worthless, but because it was considered quite unnecessary for the student of engineering.
(19855 views)