The art of teaching, Mark Van Doren said, is the art of assisting discovery. I have tried to
write a book that assists students in discovering calculus—both for its practical power and
its surprising beauty. In this edition, as in the first six editions, I aim to convey to the student
a sense of the utility of calculus and... Ordinary Differential Equations Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,... Curves and Singularities The object of this book is to introduce to a new generation of students an area of mathematics that has received a tremendous impetus during the last twenty years or so from developments in singularity theory.
The differential geometry of curves, families of curves and surfaces in Euclidean space has fascinated mathematicians and users...
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