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

ISBN-13: 9783031271243 / Angielski / Miękka / 2023 / 110 str.

Leo Corry; Raya Leviathan

Opis

This book describes the groundbreaking work of Chaim Leib Pekeris and his collaborators. Between 1955 and 1963 they used the first electronic computer built in Israel, the Weizmann Automatic Computer (WEIZAC), to develop powerful numerical methods that helped 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 free oscillations of the earth, and refine models used to predict meteorological phenomena and global oceanic tides. This book provides a unique account of the pioneering work of Chaim L. Pekeris in applied mathematics and explains in detail the background to the rise of the Weizmann Institute as a world-class center of scientific excellence. This hitherto untold story is of great interest to historians of twentieth-century science with special emphasis on the application of computer-assisted numerical methods in various branches of mathematical physics.

Spis treści

1 Introduction: Pekeris, Computing And Applied Mathematics

2 Numerical analysis in the age of electronic computing

2.1  methods

2.2  institutions

2.3  human challenges

2.4  numerical analysis with weizac

3 Integral Equations

3.1 from fredholm to hilbert and beyond

3.2 boltzmann-hilbert equation with weizac

3.3 further work on integral equations

4 Oscillations of the Earth

4.1 from classical physics to caltech’s seismographs

4.2 pekeris and geophysical research in israel

4.3 alterman, jarosch and pekeris on earth oscillations

4.3.1 oscillations and runge-kutta with weizac

4.4 aftermath in helsinki, 1960

5 Ground State of Helium

5.1 from göttingen to mit

5.2 pekeris and the helium atom

5.2.1    helium equations with weizac

5.3 aftermath

6 Additional Research With WEIZAC

6.1 nuclear magnetic resonance

6.2 magnetism and ferromagnetic materials

6.3 atomic spectroscopy

7 Concluding Remarks – Mathematics at WIS, Applied and Pure

8 References

O autorze

Leo Corry is the Bert and Barbara Cohn Professor of History and Philosophy of Exact Sciences, Tel Aviv University.

Raya Leviathan received a Ph.D. in Computer Science from the Weizmann Institute of Science and a Ph.D. in History of Technology from Tel Aviv University. She is a software programmer and team leader with both industrial and academic experience. Currently, she is a research associate at Tel Aviv University.