Introduction to Commutative Algebra is a well-known commutative algebra textbook written by Michael Francis Atiyah,who was born on which date, an English mathematician specialising in geometry?
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Introduction to Commutative Algebra Introduction to Commutative Algebra is a well-known commutative algebra textbook written by Michael Atiyah and Ian G. Macdonald. It deals with elementary concepts of commutative algebra including localization, primary decomposition, integral dependence, Noetherian and Artinian rings and modules, Dedekind rings, completions and a moderate amount of dimension theory. It is notable for being among the shorter English-language introductory textbooks in the subject, relegating a good deal of material to the exercises.
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Michael Atiyah Sir Michael Francis Atiyah ( ; born 22 April 1929) is an English mathematician specialising in geometry.
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Miles Reid Miles Anthony Reid FRS (born 30 January 1948) is a mathematician who works in algebraic geometry.
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Harold Davenport Harold Davenport FRS (30 October 1907 – 9 June 1969) was an English mathematician, known for his extensive work in number theory.
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Susan Montgomery M. Susan Montgomery (born 2 April 1943 in Lansing, MI) is a distinguished mathematician whose current research interests concern noncommutative algebras: in particular, Hopf algebras, their structure and representations, and their actions on other algebras. Her early research was on group actions on rings.
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Shimshon Amitsur Shimshon Avraham Amitsur (born Kaplan; Hebrew: שמשון אברהם עמיצור‎ ‎ ; August 26, 1921 – September 5, 1994) was an Israeli mathematician. He is best known for his work in ring theory, in particular PI rings, an area of abstract algebra.
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William Lax William Lax {'1': ", '2': ", '3': 'FRS', '4': "} (1761 – 29 October 1836) was an English astronomer and mathematician who served as Lowndean Professor of Astronomy and Geometry at the University of Cambridge for 41 years.
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George Ridsdale Goldsbrough George Ridsdale Goldsbrough FRS (19 May 1881, Sunderland, Tyne and Wear – 26 May 1963, Stratford-upon-Avon) was an English mathematician and mathematical physicist.
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David A. Cox David Archibald Cox (born September 23, 1948 in Washington, D.C.) is an American mathematician, working in algebraic geometry.
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Akshay Venkatesh Akshay Venkatesh (born 21 November 1981) is an Indian Australian mathematician. His research interests are in the fields of counting, equidistribution problems in automorphic forms and number theory, in particular representation theory, locally symmetric spaces and ergodic theory. He is the only Australian to have won medals at both the International Physics Olympiad and International Mathematics Olympiad, which he did at the age of 12.
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Graeme Segal Graeme Bryce Segal FRS (born 21 December 1941) is an Australian mathematician, and professor at the University of Oxford.
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Bernard Teissier Bernard Teissier (] ; b. 1945) is a French mathematician and a member of the Nicolas Bourbaki group. His research interests include commutative algebra and algebraic geometry.
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Augustin-Louis Cauchy Baron Augustin-Louis Cauchy FRS FRSE (] ; 21 August 1789 – 23 May 1857) was a French mathematician and physicist who made pioneering contributions to analysis. He was one of the first to state and prove theorems of calculus rigorously, rejecting the heuristic principle of the generality of algebra of earlier authors. He almost singlehandedly founded complex analysis and the study of permutation groups in abstract algebra. A profound mathematician, Cauchy had a great influence over his contemporaries and successors. His writings range widely in mathematics and mathematical physics.
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Carl Friedrich Gauss Johann Carl Friedrich Gauss ( ; German: "Gauß" , ] ; Latin: "Carolus Fridericus Gauss" ) (30 April 177723 February 1855) was a German mathematician who contributed significantly to many fields, including number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, magnetic fields, astronomy, matrix theory, and optics.
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Trevor Wooley Trevor Dion Wooley FRS (born 17 September 1964) FRS is a British mathematician and currently Professor of Mathematics at the University of Bristol. His fields of interest include analytic number theory, Diophantine equations and Diophantine problems, harmonic analysis,
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David Hilbert David Hilbert (] ; 23 January 1862 – 14 February 1943) was a German mathematician. He is recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
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Alexey Parshin Aleksei (or Alexei) Nikolaevich Parshin (Russian: Алексей Николаевич Паршин ; born 7 November 1942 in Sverdlovsk) is a Russian mathematician, specializing in number theory and algebraic geometry.
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Reinhold Baer Reinhold Baer (22 July 1902 – 22 October 1979) was a German mathematician, known for his work in algebra. He introduced injective modules in 1940. He is the eponym of Baer rings and Baer groups.
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Alexandre Borovik Alexandre V. Borovik (born 1956) is a Professor of Pure Mathematics at the University of Manchester, United Kingdom, where he has been working for the past 20 years. He was born in Russia and graduated from Novosibirsk State University in 1978. His principal research lies in algebra, model theory, and combinatorics—topics on which he published several monographs and a number of papers. He also has an interest in mathematical practice and recently published a book "Mathematics under the Microscope: Notes on Cognitive Aspects of Mathematical Practice" which examines a mathematician's outlook on psychophysiological and cognitive issues in mathematics.
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Robert Woodhouse Robert Woodhouse {'1': ", '2': ", '3': ", '4': "} (28 April 1773 – 23 December 1827) was an English mathematician.
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Hilbert C*-module Hilbert C*-modules are mathematical objects which generalise the notion of a Hilbert space (which itself is a generalisation of Euclidean space), in that they endow a linear space with an "inner product" which takes values in a C*-algebra. Hilbert C*-modules were first introduced in the work of Irving Kaplansky in 1953, which developed the theory for commutative, unital algebras (though Kaplansky observed that the assumption of a unit element was not "vital"). In the 1970s the theory was extended to non-commutative C*-algebras independently by William Lindall Paschke and Marc Rieffel, the latter in a paper which used Hilbert C*-modules to construct a theory of induced representations of C*-algebras. Hilbert C*-modules are crucial to Kasparov's formulation of KK-theory, and provide the right framework to extend the notion of Morita equivalence to C*-algebras. They can be viewed as the generalization of vector bundles to noncommutative C*-algebras and as such play an important role in noncommutative geometry, notably in C*-algebraic quantum group theory, and groupoid C*-algebras.
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John Clayton Taylor John Clayton Taylor {'1': ", '2': ", '3': ", '4': "} (born 4 August 1930) is a British mathematical physicist. He is an Emeritus Professor of Mathematical Physics at the Department of Applied Mathematics and Theoretical Physics of the University of Cambridge and an Emeritus Fellow of Robinson College.