Calculus

Difference Equations to Differential Equations

Difference Equations to Differential Equations: An introduction to calculus by Dan Sloughter is available in pdf format for free. Thorough, relatively concise calculus text. Includes many examples, graphs, and problems.

The Calculus of Functions of Several Variables

The Calculus of Functions of Several Variables by Dan Sloughter is available in pdf format for free. In your first exposure to calculus, the primary focus of your attention was on functions involving a single independent variable and a single dependent variable.

Multivariable Calculus

Multivariable Calculus by George Cain & James Herod. Download it in pdf format.

Calculus for Beginners and Artists

This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician. Calculus is the study of how things change. It provides a framework for modeling systems in which there is change, and a way to deduce the predictions of such models.

Elementary Calculus: An Approach Using Infinitesimals

Elementary Calculus: An Approach Using Infinitesimals

This is a calculus textbook at the college Freshman level based on Abraham Robinson’s infinitesimals, which date from 1960. Robinson’s modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits.

Calculus

Calculus

This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed.

Tensor Calculus and Continuum Mechanics

Tensor Calculus and Continuum Mechanics

This is an introductory text which presents fundamental concepts from the subject areas of tensor calculus, diff erential geometry and continuum mechanics. The material presented is suitable for a two semester course in applied mathematics and is flexible enough to be presented to either upper level undergraduate or beginning graduate students majoring in applied mathematics, engineering or physics.