Goldstine H.H. A History of Numerical Analysis from the 16th through the 19th Century

New York: Springer-Verlag, 1977. – 360 p. — ISBN: 0-387-90277-5, ISBN: 3-540-90277-5.In this book I have attempted to trace the development of numerical analysis during the period in which the foundations of the modern theory were being laid. To do this I have had to exercise a certain amount of selectivity in choosing and in rejecting both authors and papers. I have rather arbitrarily chosen, in the main, the most famous mathematicians of the period in question and have concentrated on their major works in numerical analysis at the expense, perhaps, of other lesser known but capable analysts. This selectivity results from the need to choose from a large body of literature, and from my feeling that almost by definition the great masters of mathematics were the ones responsible for the most significant accomplishments. In any event I must accept full responsibility for the choices.The Sixteenth and Early Seventeenth Centuries.
The Age of Newton.
Euler and Lagrange.
Laplace, Legendre, and Gauss.
Other Nineteenth Century Figures.