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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 ...
Starting at e 0 = 1, travelling at the velocity i relative to one's position for the length of time π, and adding 1, one arrives at 0. (The diagram is an Argand diagram .) Some mathematicians see beauty in mathematical results that establish connections between two areas of mathematics that at first sight appear to be unrelated. [ 5 ]
Examples of unexpected applications of mathematical theories can be found in many areas of mathematics. A notable example is the prime factorization of natural numbers that was discovered more than 2,000 years before its common use for secure internet communications through the RSA cryptosystem. [127]
The Feynman Lectures on Physics is a physics textbook based on a great number of lectures by Richard Feynman, a Nobel laureate who has sometimes been called "The Great Explainer". [1] The lectures were presented before undergraduate students at the California Institute of Technology (Caltech), during 1961–1964.
For example, geometry has its origins in the calculation of distances and areas in the real world, and algebra started with methods of solving problems in arithmetic. Abstraction is an ongoing process in mathematics and the historical development of many mathematical topics exhibits a progression from the concrete to the abstract.
A video abstract accompanying a journal article. An example extracted from New Journal of Physics.. Video abstracts represent a new genre in science-communication. They can be defined as “peer-to-peer video summaries, three to five minutes long versions of academic papers” [Berkowitz, 2013] [1] that “describe dynamic phenomena which are simply too complicated, too complex, too unusual ...
[1] Feynman had given the lecture on the motion of bodies at Caltech on March 13, 1964, but the notes and pictures were lost for a number of years and consequently not included in The Feynman Lectures on Physics series. The lecture notes were later found, but without the photographs of his illustrative chalkboard drawings. One of the editors ...
The two-dimensional "spin 1/2" representation of the Lie algebra so(3), for example, does not correspond to an ordinary (single-valued) representation of the group SO(3). (This fact is the origin of statements to the effect that "if you rotate the wave function of an electron by 360 degrees, you get the negative of the original wave function.")