Jules Henri Poincaré was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The Last Universalist", since he excelled in all fields of the discipline as it existed during his lifetime.
Newton's laws of motion are three basic laws of classical mechanics that describe the relationship between the motion of an object and the forces acting on it. These laws can be paraphrased as follows:
- A body remains at rest, or in motion at a constant speed in a straight line, unless acted upon by a force.
- When a body is acted upon by a force, the time rate of change of its momentum equals the force.
- If two bodies exert forces on each other, these forces have the same magnitude but opposite directions.
Terrell rotation or Terrell effect is the visual distortion that a passing object would appear to undergo, according to the special theory of relativity if it were travelling at a significant fraction of the speed of light. This behaviour was described independently by both Roger Penrose and James Terrell. Penrose's article was submitted 29 July 1958 and published in January 1959. Terrell's article was submitted 22 June 1959 and published 15 November 1959. The general phenomenon was noted already in 1924 by Austrian physicist Anton Lampa.
Relativistic electromagnetism is a physical phenomenon explained in electromagnetic field theory due to Coulomb's law and Lorentz transformations.
In mathematics and physics, the Kadomtsev–Petviashvili equation is a partial differential equation to describe nonlinear wave motion. Named after Boris Borisovich Kadomtsev and Vladimir Iosifovich Petviashvili, the KP equation is usually written as
In probability theory, the Gillespie algorithm generates a statistically correct trajectory of a stochastic equation system for which the reaction rates are known. It was created by Joseph L. Doob and others, presented by Dan Gillespie in 1976, and popularized in 1977 in a paper where he uses it to simulate chemical or biochemical systems of reactions efficiently and accurately using limited computational power. As computers have become faster, the algorithm has been used to simulate increasingly complex systems. The algorithm is particularly useful for simulating reactions within cells, where the number of reagents is low and keeping track of the position and behaviour of individual molecules is computationally feasible. Mathematically, it is a variant of a dynamic Monte Carlo method and similar to the kinetic Monte Carlo methods. It is used heavily in computational systems biology.
The Mechanical Universe...And Beyond is a 52-part telecourse, filmed at the California Institute of Technology, that introduces university level physics, covering topics from Copernicus to quantum mechanics. The 1985-86 series was produced by Caltech and INTELECOM, a nonprofit consortium of California community colleges now known as Intelecom Learning, with financial support from Annenberg/CPB. The series, which aired on PBS affiliate stations before being distributed on LaserDisc and eventually YouTube, is known for its use of computer animation.
Wolfgang Rindler was a physicist working in the field of general relativity where he is known for introducing the term "event horizon", Rindler coordinates, and for the use of spinors in general relativity. An honorary member of the Austrian Academy of Sciences and foreign member of the Accademia delle Scienze di Torino, he was also a prolific textbook author.
Vladimir E. Korepin is a professor at the C. N. Yang Institute of Theoretical Physics of the Stony Brook University. Korepin made research contributions in several areas of mathematics and physics.
Mary Layne Boas (1917–2010) was an American mathematician and physics professor best known as the author of Mathematical Methods in the Physical Sciences (1966), an undergraduate textbook that was still widely used in college classrooms as of 1999.
In general relativity, the Weyl–Lewis–Papapetrou coordinates are a set of coordinates, used in the solutions to the vacuum region surrounding an axisymmetric distribution of mass–energy. They are named for Hermann Weyl, Thomas Lewis, and Achilles Papapetrou.
The Rüchardt experiment, invented by Eduard Rüchardt, is a famous experiment in thermodynamics, which determines the ratio of the molar heat capacities of a gas, i.e. the ratio of and and is denoted by or . It arises because the temperature of a gas changes as pressure changes.
Classical Electrodynamics is a textbook about that subject written by theoretical particle and nuclear physicist John David Jackson. The book originated as lecture notes that Jackson prepared for teaching graduate-level electromagnetism first at McGill University and then at the University of Illinois at Urbana-Champaign. Intended for graduate students, and often known as Jackson for short, it has been a standard reference on its subject since its first publication in 1962.
Stanley Jerome Farlow is an American mathematician specializing in differential equations. For many years he has been a professor at the University of Maine.
Integrable algorithms are numerical algorithms that rely on basic ideas from the mathematical theory of integrable systems.
Lectures on Theoretical Physics is a six-volume series of physics textbooks translated from Arnold Sommerfeld's classic German texts Vorlesungen über Theoretische Physik. The series includes the volumes Mechanics, Mechanics of Deformable Bodies, Electrodynamics, Optics, Thermodynamics and Statistical Mechanics, and Partial Differential Equations in Physics. Focusing on one subject each semester, the lectures formed a three-year cycle of courses that Sommerfeld repeatedly taught at the University of Munich for over thirty years. Sommerfeld's lectures were famous and he was held to be one of the greatest physics lecturers of his time.
Modern Quantum Mechanics, often called Sakurai or Sakurai and Napolitano, is a standard graduate-level quantum mechanics textbook written originally by J. J. Sakurai and edited by San Fu Tuan in 1985, with later editions coauthored by Jim Napolitano. Sakurai died in 1982 before he could finish the textbook and both the first edition of the book, published in 1985 by Benjamin Cummings, and the revised edition of 1994, published by Addison-Wesley, were edited and completed by Tuan posthumously. The book was updated by Napolitano and released two later editions. The second edition was initially published by Addison-Wesley in 2010 and rereleased as an eBook by Cambridge University Press, who released a third edition in 2020.
John Pascal Vinti was an American theoretical physicist, who published papers not only in physics, but also in mathematics and engineering. He is known for the Vinti integral.
