**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:

**Download link**

(3.2MB, PDF)

## Similar books

**First Year Calculus**

by

**W W L Chen**-

**Macquarie University**

These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.

(

**16868**views)

**Elementary Textbook on the Calculus**

by

**Virgil Snyder**-

**Cornell University Library**

The author made special effort to present the calculus in a simple and direct form. Easy applications of the calculus to maxima and minima, tangents and normals, inflexions, asymptotes, and curve tracing have been introduced.

(

**12610**views)

**Dr. Vogel's Gallery of Calculus Pathologies**

by

**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.

(

**8211**views)

**The Calculus for Engineers and Physicists**

by

**Robert H. Smith**-

**Griffin**

This work presents the leading features in the study and application of the higher mathematics. The development of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination.

(

**9734**views)