Finite Dimensional Vector Spaces
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About this ebook
As a newly minted Ph.D., Paul Halmos came to the Institute for Advanced Study in 1938--even though he did not have a fellowship--to study among the many giants of mathematics who had recently joined the faculty. He eventually became John von Neumann's research assistant, and it was one of von Neumann's inspiring lectures that spurred Halmos to write Finite Dimensional Vector Spaces. The book brought him instant fame as an expositor of mathematics.
Finite Dimensional Vector Spaces combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. The book broke ground as the first formal introduction to linear algebra, a branch of modern mathematics that studies vectors and vector spaces. The book continues to exert its influence sixty years after publication, as linear algebra is now widely used, not only in mathematics but also in the natural and social sciences, for studying such subjects as weather problems, traffic flow, electronic circuits, and population genetics.
In 1983 Halmos received the coveted Steele Prize for exposition from the American Mathematical Society for "his many graduate texts in mathematics dealing with finite dimensional vector spaces, measure theory, ergodic theory, and Hilbert space."
Read more from Paul R. Halmos
Annals of Mathematics Studies
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Linear Inequalities and Related Systems Rating: 0 out of 5 stars0 ratingsStrong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 Rating: 0 out of 5 stars0 ratingsFunctional Operators, Volume 1: Measures and Integrals. (AM-21) Rating: 0 out of 5 stars0 ratingsInvariant Forms on Grassmann Manifolds. (AM-89), Volume 89 Rating: 0 out of 5 stars0 ratingsAdvances in Game Theory Rating: 0 out of 5 stars0 ratingsAdvances in the Theory of Riemann Surfaces. (AM-66), Volume 66 Rating: 0 out of 5 stars0 ratingsExponential Sums and Differential Equations. (AM-124), Volume 124 Rating: 0 out of 5 stars0 ratingsSmoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 Rating: 5 out of 5 stars5/5Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 Rating: 0 out of 5 stars0 ratingsMultiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 Rating: 0 out of 5 stars0 ratingsC*-Algebra Extensions and K-Homology. (AM-95), Volume 95 Rating: 0 out of 5 stars0 ratingsAutomorphic Forms on Adele Groups. (AM-83), Volume 83 Rating: 0 out of 5 stars0 ratingsSeminar On Minimal Submanifolds. (AM-103), Volume 103 Rating: 0 out of 5 stars0 ratingsCosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121), Volume 121 Rating: 0 out of 5 stars0 ratingsUnitary Representations of Reductive Lie Groups. (AM-118), Volume 118 Rating: 0 out of 5 stars0 ratingsCharacteristic Classes. (AM-76), Volume 76 Rating: 5 out of 5 stars5/5Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101 Rating: 0 out of 5 stars0 ratingsDiscrete Series of GLn Over a Finite Field. (AM-81), Volume 81 Rating: 0 out of 5 stars0 ratingsEntire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 Rating: 0 out of 5 stars0 ratingsRecent Developments in Several Complex Variables. (AM-100), Volume 100 Rating: 0 out of 5 stars0 ratingsKnots, Groups and 3-Manifolds (AM-84), Volume 84: Papers Dedicated to the Memory of R.H. Fox. (AM-84) Rating: 0 out of 5 stars0 ratingsSeminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 Rating: 3 out of 5 stars3/5The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 Rating: 0 out of 5 stars0 ratingsSeminar on Micro-Local Analysis. (AM-93), Volume 93 Rating: 0 out of 5 stars0 ratingsScattering Theory for Automorphic Functions. (AM-87), Volume 87 Rating: 0 out of 5 stars0 ratingsBraids, Links, and Mapping Class Groups. (AM-82), Volume 82 Rating: 0 out of 5 stars0 ratingsInfinite Loop Spaces (AM-90), Volume 90: Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) Rating: 0 out of 5 stars0 ratingsRiemann Surfaces and Related Topics (AM-97), Volume 97: Proceedings of the 1978 Stony Brook Conference. (AM-97) Rating: 0 out of 5 stars0 ratingsFoundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88 Rating: 0 out of 5 stars0 ratings
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