Tristan Needham is a British mathematician and professor of mathematics at the University of San Francisco.
Tristan is the son of social anthropologist Rodney Needham of Oxford, England. He attended the Dragon School. Later Needham attended the University of Oxford and studied physics at Merton College, and then transferred to the Mathematical Institute where he studied under Roger Penrose. He obtained his D.Phil. in 1987 and in 1989 took up his post at University of San Francisco.
In 1993 he published A Visual Explanation of Jensen's inequality .The following year he published The Geometry of Harmonic Functions, which won the Carl B. Allendoerfer Award for 1995.
Needham wrote the book Visual Complex Analysis, which has received positive reviews.Though it is described as a "radical first course in complex analysis aimed at undergraduates", writing in Mathematical Reviews D.H. Armitage said that "the book will be appreciated most by those who already know some complex analysis." In fact Douglas Hofstadter wrote "Needham's work of art with its hundreds and hundreds of beautiful figures á la Latta, brings complex analysis alive in an unprecedented manner". Hofstadter had studied complex analysis at Stanford with Gordon Latta, and he recalled "Latta's amazingly precise and elegant blackboard diagrams". In 2001 a German language version, translated by Norbert Herrmann and Ina Paschen, was published by R. Oldenbourg Verlag, Munich.
Needham has completed a new book, originally called Visual Differential Geometry, but ultimately called Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts (Princeton University Press), 2021.
John Willard Milnor is an American mathematician known for his work in differential topology, K-theory and dynamical systems. Milnor is a distinguished professor at Stony Brook University and one of the five mathematicians to have won the Fields Medal, the Wolf Prize, and the Abel Prize
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Oswald Veblen was an American mathematician, geometer and topologist, whose work found application in atomic physics and the theory of relativity. He proved the Jordan curve theorem in 1905; while this was long considered the first rigorous proof of the theorem, many now also consider Camille Jordan's original proof rigorous.
Serge Lang was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group.
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Geometry of Complex Numbers: Circle Geometry, Moebius Transformation, Non-Euclidean Geometry is an undergraduate textbook on geometry, whose topics include circles, the complex plane, inversive geometry, and non-Euclidean geometry. It was written by Hans Schwerdtfeger, and originally published in 1962 as Volume 13 of the Mathematical Expositions series of the University of Toronto Press. A corrected edition was published in 1979 in the Dover Books on Advanced Mathematics series of Dover Publications (ISBN 0-486-63830-8). The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries.
Carl Barnett Allendoerfer was an American mathematician in the mid-twentieth century, known for his work in topology and mathematics education.
Phillip Augustus Griffiths IV is an American mathematician, known for his work in the field of geometry, and in particular for the complex manifold approach to algebraic geometry. He was a major developer in particular of the theory of variation of Hodge structure in Hodge theory and moduli theory. He also worked on partial differential equations, coauthored with Shiing-Shen Chern, Robert Bryant and Robert Gardner on Exterior Differential Systems.
John Colin Stillwell is an Australian mathematician on the faculties of the University of San Francisco and Monash University.
Geometry is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space that are related with distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a geometer.
Shoshichi Kobayashi was a Japanese mathematician. He was the eldest brother of electrical engineer and computer scientist Hisashi Kobayashi. His research interests were in Riemannian and complex manifolds, transformation groups of geometric structures, and Lie algebras.
Jeremy John Gray is an English mathematician primarily interested in the history of mathematics.
Steven George Krantz is an American scholar, mathematician, and writer. He has authored more than 280 research papers and more than 135 books. Additionally, Krantz has edited journals such as the Notices of the American Mathematical Society and The Journal of Geometric Analysis.
Raymond O'Neil Wells Jr., "Ronny", is an American mathematician, working in complex analysis in several variables as well as wavelets.
Michael Eugene Taylor is an American mathematician, working in partial differential equations.
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Frank A. Farris is an American mathematician. Hi is a Professor of Mathematics and Computer Science at Santa Clara University. He is also an editor, author, and artist whose work concerns mathematical topics. Farris is known primarily for mathematical exposition and his promotion of visual mathematics through computer science.