The Indiana University Mathematics Journal is a journal of mathematics published by Indiana University. Its first volume was published in 1952, under the name Journal of Rational Mechanics and Analysis and edited by Zachery D. Paden and Clifford Truesdell. In 1957, Eberhard Hopf became editor, the journal name changed to the Journal of Mathematics and Mechanics, and Truesdell founded a separate successor journal, the Archive for Rational Mechanics and Analysis, now published by Springer-Verlag. The Journal of Mathematics and Mechanics later changed its name again to the present name.
The full text of all articles published under the various incarnations of this journal is available online from the journal's web site. The web site lists all such papers under the Indiana University Mathematics Journal name, but other bibliographies generally use the name of the journal as of the date each paper was published.
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers, or defined as generalizations of the integers.
Rational mechanics may refer to:
Francis William Lawvere was an American mathematician known for his work in category theory, topos theory and the philosophy of mathematics.
Paul Felix Nemenyi was a Hungarian mathematician and physicist who specialized in continuum mechanics. He was known for using what he called the inverse or semi-inverse approach, which applied vector field analysis, to obtain numerous exact solutions of the nonlinear equations of gas dynamics, many of them representing rotational flows of nonuniform total energy. His work applied geometrical solutions to fluid dynamics. In continuum mechanics, "Nemenyi's theorem" proves that, given any net of isothermal curves, there exists a five parameter family of plane stress systems for which these curves are stress trajectories.
Clifford Ambrose Truesdell III was an American mathematician, natural philosopher, and historian of science.
Qian Weichang or Chien Wei-zang was a Chinese physicist and applied mathematician, as well as academician of the Chinese Academy of Sciences. He served as President of Shanghai University.
The G.W.C. Whiting School of Engineering is the engineering college of the Johns Hopkins University, a private research university in Baltimore, Maryland.
Giacinto Morera, was an Italian engineer and mathematician. He is known for Morera's theorem in the theory of functions of a complex variable and for his work in the theory of linear elasticity.
The Archive for Rational Mechanics and Analysis is a scientific journal that is devoted to research in mechanics as a deductive, mathematical science. The current editors in chief of the journal are Felix Otto and Vladimir Sverak. It was founded in 1956 by Clifford Truesdell when he moved from Indiana University to Johns Hopkins and lost control of a similar journal he had founded a few years previously, the Journal of Rational Mechanics and Analysis.
Walter Noll was a mathematician, and Professor Emeritus at Carnegie Mellon University. He is best known for developing mathematical tools of classical mechanics, thermodynamics, and continuum mechanics.
Roger Meyer Temam is a French applied mathematician working in numerical analysis, nonlinear partial differential equations and fluid mechanics. He graduated from the University of Paris – the Sorbonne in 1967, completing a doctorate under the direction of Jacques-Louis Lions. He has published over 400 articles, as well as 12 books.
James Burton Serrin was an American mathematician, and a professor at University of Minnesota.
Jerald LaVerne Ericksen was an American mathematician specializing in continuum mechanics.
Morton E. Gurtin was a mechanical engineer who became a mathematician and mathematical physicist. He was an emeritus professor of mathematical sciences at Carnegie-Mellon University, where for many years he held an endowed chair as the Alumni Professor of Mathematical Science. His main work is in materials science, in the form of the mathematical, rational mechanics of non-linear continuum mechanics and thermodynamics, in the style of Clifford Truesdell and Walter Noll, a field also known under the combined name of continuum thermomechanics. He has published over 250 papers, many among them in Archive for Rational Mechanics and Analysis, as well as a number of books.
Martin Feinberg is an American chemical engineer and mathematician known for his work in chemical reaction network theory.
Chemical reaction network theory is an area of applied mathematics that attempts to model the behaviour of real-world chemical systems. Since its foundation in the 1960s, it has attracted a growing research community, mainly due to its applications in biochemistry and theoretical chemistry. It has also attracted interest from pure mathematicians due to the interesting problems that arise from the mathematical structures involved.
David Egorovich Dolidze was a Georgian and Soviet mathematician, known from his work in the mathematical theory of fluid motion. In particular he rediscovered an important uniqueness theorem for the classical solutions to the Navier–Stokes equations for an incompressible fluid, previously proved by Emanuele Foà.
Rational thermodynamics is a school of thought in statistical thermodynamics developed in the 1960s. Its introduction is attributed to Clifford Truesdell (1919–2000), Bernard Coleman and Walter Noll (1925–2017). The aim was to develop a mathematical model of thermodynamics that would go beyond the traditional "thermodynamics of irreversible processes" or TIP developed in the late 19th to early 20th centuries. Truesdell's "flamboyant style" and "satirical verve" caused controversy between "rational thermodynamics" and proponents of traditional thermodynamics.
Robert Ronald Jensen is an American mathematician, specializing in nonlinear partial differential equations with applications to physics, engineering, game theory, and finance.
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