Chaim L. Pekeris and the Art of Applying Mathematics with WEIZAC, 1955-1963

Chaim Leib Pekeris and his collaborators used the Weizmann Automatic Computer to develop numerical methods for solving the Boltzmann equation, calculating energy levels, and producing geophysical and seismological models. This book describes their pioneering work and the rise of the Weizmann Institute as a center of scientific excellence.

Format: Paperback / softback
Length: 123 pages
Publication date: 25 April 2023
Publisher: Springer International Publishing AG

This captivating book delves into the groundbreaking work of Chaim Leib Pekeris and his esteemed collaborators, who, between 1955 and 1963, utilized the first electronic computer built in Israel, the Weizmann Automatic Computer (WEIZAC), to accomplish remarkable feats in applied mathematics. Their pioneering efforts resulted in the development of powerful numerical methods that played a pivotal role in achieving new and accurate solutions of the Boltzmann equation. These methods also facilitated the calculation of energy levels of the helium atom, the production of detailed geophysical and seismological models derived from the study of the earth's free oscillations, and the refinement of models used to predict meteorological phenomena and global oceanic tides.

Moreover, this book offers a unique perspective on the pioneering work of Chaim L. Pekeris in applied mathematics, shedding light on the historical backdrop that led to the establishment of the Weizmann Institute as a world-renowned center of scientific excellence. This hitherto untold story holds immense interest for historians of twentieth-century science, particularly those who are captivated by the application of computer-assisted numerical methods in diverse branches of mathematical physics.

The utilization of the Weizmann Automatic Computer (WEIZAC) during this period marked a significant milestone in the development of computational mathematics and its applications. The computer's capabilities and the expertise of Pekeris and his team enabled them to tackle complex mathematical problems with unprecedented precision and efficiency. Their work not only advanced the field of mathematics but also had far-reaching implications for various scientific disciplines, including physics, chemistry, and engineering.

The development of numerical methods for solving the Boltzmann equation was a particularly noteworthy achievement. The Boltzmann equation is a fundamental equation in statistical mechanics that describes the distribution of particles in a gas at equilibrium. By employing advanced computational techniques, Pekeris and his collaborators were able to obtain accurate solutions to this equation, which provided valuable insights into the behavior of particles in complex systems.

Furthermore, their work on the helium atom's energy levels was instrumental in advancing our understanding of atomic physics. The helium atom is a fundamental element in nature, and its properties play a crucial role in various fields, including astrophysics, quantum chemistry, and materials science. Pekeris and his team used numerical methods to calculate the energy levels of the helium atom with great precision, which helped in refining our knowledge of the atom's structure and behavior.

The geophysical and seismological models derived from the study of the earth's free oscillations were also groundbreaking. These models provided a detailed representation of the earth's interior and exterior, enabling scientists to study the earth's structure, dynamics, and the effects of natural phenomena on its surface. By employing advanced computational techniques, Pekeris and his collaborators were able to produce highly accurate models that helped in predicting earthquakes, volcanic eruptions, and other geological events.

In addition to their contributions to applied mathematics, Pekeris and his collaborators played a significant role in the establishment of the Weizmann Institute as a leading center of scientific research. The institute was founded in 1934 with the aim of promoting scientific research and education in Israel. Pekeris, who served as the institute's first director, played a pivotal role in shaping its early development and establishing its reputation as a hub of scientific excellence.

The book also provides a detailed account of the technological advancements that were made during this period, particularly in the field of computer science. The development of the first electronic computer in Israel, the WEIZAC, was a significant milestone in the history of computing. The computer's capabilities and the expertise of Pekeris and his team enabled them to explore new frontiers in computational mathematics and apply their methods to solve complex problems in various scientific disciplines.

In conclusion, this book offers a captivating account of the groundbreaking work of Chaim Leib Pekeris and his collaborators in applied mathematics. Their use of the Weizmann Automatic Computer (WEIZAC) to develop powerful numerical methods and achieve new and accurate solutions of the Boltzmann equation, calculate energy levels of the helium atom, produce detailed geophysical and seismological models derived from the study of the earth's free oscillations, and refine models used to predict meteorological phenomena and global oceanic tides is a testament to their exceptional talent and dedication.

Moreover, their pioneering work in applied mathematics not only advanced the field of mathematics but also had far-reaching implications for various scientific disciplines, including physics, chemistry, and engineering. The establishment of the Weizmann Institute as a world-renowned center of scientific research is a testament to the impact of their work and the importance of scientific research in shaping our understanding of the world.

This book is a valuable resource for historians of twentieth-century science, mathematicians, and anyone interested in the application of computer-assisted numerical methods in various branches of mathematical physics. It provides a detailed account of the historical backdrop, technological advancements, and scientific achievements that shaped the field of applied mathematics during this period.

Weight: 221g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031271243
Edition number: 1st ed. 2023