Elements of Numerical Analysis — Peter Henrici, First Edition 1964

Elements of Numerical Analysis by Peter Henrici is a rigorous and elegant first edition published in 1964 by John Wiley & Sons, widely regarded as one of the finest introductory texts on numerical analysis written in the 20th century.

Henrici's book develops the core methods of numerical analysis with an emphasis on mathematical clarity and theoretical depth. The text covers the fundamental topics of the field: interpolation and approximation of functions, numerical differentiation and integration, the solution of nonlinear equations, and the numerical solution of ordinary differential equations. What distinguishes Henrici's treatment is his insistence on rigorous error analysis throughout — rather than simply presenting algorithms, he carefully develops the mathematical conditions under which methods converge, the sources and propagation of rounding and truncation errors, and the theoretical bounds that govern numerical accuracy. The result is a text that trains readers not just to apply numerical methods but to understand why they work and when they fail.

Peter Henrici (1923–1987) was a Swiss mathematician who spent much of his career at ETH Zurich and later at the University of California, Los Angeles, where he became one of the leading figures in the mathematical foundations of numerical analysis and computational complex analysis. Published in 1964, this first edition appeared at a transformative moment: digital computers were rapidly becoming available to scientists and engineers, and the field of numerical analysis was evolving from a collection of hand-calculation techniques into a rigorous mathematical discipline suited to the new computational era. Henrici's text was part of a generation of foundational works — alongside those of Wilkinson, Forsythe, and Ralston — that established numerical analysis as a mature branch of applied mathematics. For collectors of the history of computing and mathematical sciences, this first edition is a significant artifact of that intellectual transition.