For centuries, differential equations have been the key to unlocking
nature's deepest secrets. Over 300 years ago, Isaac Newton invented
differential equations to understand the problem of motion, and he
developed calculus in order to solve differential equations.

Since then, differential equations have been the essential tool
for analyzing the process of change, whether in physics, engineering,
biology, or any other field where it's important to predict how
something behaves over time.

The pinnacle of a mathematics education, differential equations
assume a basic knowledge of calculus, and they have traditionally
required the rote memorization of a vast "cookbook" of formulas and
specialized tricks needed to find explicit solutions. Even then, most
problems involving differential equations had to be simplified, often
in unrealistic ways; and a huge number of equations defied solution
at all using these techniques.

But that was before computers revolutionized the field, extending
the reach of differential equations into previously unexplored areas
and allowing solutions to be approximated and displayed in easy-to-
grasp computer graphics. For the first time, a method exists that can
start a committed learner on the road to mastering this beautiful
application of the ideas and techniques of calculus.

Mastering Differential Equations: The Visual Method takes you on this
amazing mathematical journey in 24 intellectually stimulating and
visually engaging half-hour lectures taught by a pioneer of the visual
approach, Professor Robert L. Devaney of Boston University, coauthor
of one of the most widely used textbooks on ordinary differential
equations.

Download File Size:2.33 GB

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