Finite Dimensional Vector Spaces Am 7 Volume 7

Author : Paul R. Halmos
Publisher : Princeton University Press
Page : 196 pages
File Size : 48,9 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882236

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Finite Dimensional Vector Spaces. (AM-7), Volume 7 by Paul R. Halmos Pdf

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."

Author : Paul R. Halmos
Publisher : Courier Dover Publications
Page : 208 pages
File Size : 50,7 Mb
Release : 2017-05-24
Category : Mathematics
ISBN : 9780486822266

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Finite-Dimensional Vector Spaces by Paul R. Halmos Pdf

Classic, widely cited, and accessible treatment offers an ideal supplement to many traditional linear algebra texts. "Extremely well-written and logical, with short and elegant proofs." — MAA Reviews. 1958 edition.

Author : Paul R. Halmos
Publisher : Courier Dover Publications
Page : 209 pages
File Size : 50,8 Mb
Release : 2017-08-15
Category : Mathematics
ISBN : 9780486814865

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Finite-Dimensional Vector Spaces by Paul R. Halmos Pdf

Originally published: Princeton, NJ: D. Van Nostrand Company, Inc., 1958.

Author : P.R. Halmos
Publisher : Springer Science & Business Media
Page : 207 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461263876

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Finite-Dimensional Vector Spaces by P.R. Halmos Pdf

From the reviews: "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity....The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher." --ZENTRALBLATT FÜR MATHEMATIK

Author : Paul Richard Halmos
Publisher : Unknown
Page : 0 pages
File Size : 48,9 Mb
Release : 1949
Category : Electronic
ISBN : OCLC:916118893

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Finite dimensional Vector Spaces by Paul Richard Halmos Pdf

Author : John Milnor
Publisher : Princeton University Press
Page : 160 pages
File Size : 45,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881802

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Morse Theory. (AM-51), Volume 51 by John Milnor Pdf

One of the most cited books in mathematics, John Milnor's exposition of Morse theory has been the most important book on the subject for more than forty years. Morse theory was developed in the 1920s by mathematician Marston Morse. (Morse was on the faculty of the Institute for Advanced Study, and Princeton published his Topological Methods in the Theory of Functions of a Complex Variable in the Annals of Mathematics Studies series in 1947.) One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. Morse theory has received much attention in the last two decades as a result of a famous paper in which theoretical physicist Edward Witten relates Morse theory to quantum field theory. Milnor was awarded the Fields Medal (the mathematical equivalent of a Nobel Prize) in 1962 for his work in differential topology. He has since received the National Medal of Science (1967) and the Steele Prize from the American Mathematical Society twice (1982 and 2004) in recognition of his explanations of mathematical concepts across a wide range of scienti.c disciplines. The citation reads, "The phrase sublime elegance is rarely associated with mathematical exposition, but it applies to all of Milnor's writings. Reading his books, one is struck with the ease with which the subject is unfolding and it only becomes apparent after re.ection that this ease is the mark of a master.? Milnor has published five books with Princeton University Press.

Author : Paul R Halmos
Publisher : Unknown
Page : 0 pages
File Size : 40,8 Mb
Release : 2022-08-20
Category : Electronic
ISBN : 1773238868

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Finite-Dimensional Vector Spaces by Paul R Halmos Pdf

Master expositor Paul Halmos presents Linear Algebra in the pure axiomatic spirit. He writes "My purpose in this book is to treat linear transformations on finite dimensional vector spaces by the methods of more general theories. The idea is to emphasize the simple geometric notions common to many parts of mathematics and its applications, and to do so in a language that gives away the trade secrets ...". This text is an ideal supplement to modern treatments of Linear Algebra. "The theory is systematically developed by the axiomatic method that has, since von Neumann, dominated the general approach to linear functional analysis and that achieves here a high degree of lucidity and clarity....The book contains about 350 well placed and instructive problems, which cover a considerable part of the subject. All in all this is an excellent work, of equally high value for both student and teacher." --Zentralblatt für Mathematik.

Author : Paul R. Halmos
Publisher : Unknown
Page : 208 pages
File Size : 55,6 Mb
Release : 2013-09
Category : Electronic
ISBN : 1258812584

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Finite Dimensional Vector Spaces by Paul R. Halmos Pdf

Author : Robert Schatten
Publisher : Princeton University Press
Page : 162 pages
File Size : 55,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881963

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A Theory of Cross-Spaces. (AM-26), Volume 26 by Robert Schatten Pdf

The description for this book, A Theory of Cross-Spaces. (AM-26), Volume 26, will be forthcoming.

Author : Thomas L., Saaty ,Joseph, Bram
Publisher : RWS Publications
Page : 396 pages
File Size : 43,9 Mb
Release : 2014-12-22
Category : Business & Economics
ISBN : 9781888603385

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Non Linear Mathematics Vol. I by Thomas L., Saaty ,Joseph, Bram Pdf

"We are surrounded and deeply involved, in the natural world, with non- linear events which are not necessarily mathematical," the authors write. "For example . . . the nonlinear problem of pedalling a bicycle up and down a hillside. On a grand scale . . . the struggle for existence between two species, one of which preys exclusively on the other." This book is' for mathematicians and researchers who believe that "nonlinear mathematics is' the mathematics of today"; it is also for economists, engineers, operations analysts, "the reader who has been thus bemused into an artificially linear conception of the universe." Nonlinear Mathematics is the first attempt to consider the widest range of nonlinear topics found in the -scattered literature. Accessible to non- mathematics professionals as well as college seniors and graduates, it offers a discussion both particular and broad enough to stimulate research towards a unifying theory of nonlinear mathematics. Ideas are presented "according to existence and uniqueness theorems, characterization (e.g., stability and asymptotic behavior), construction of solutions, convergence, approximation and errors."

Author : R. D. Anderson
Publisher : Princeton University Press
Page : 308 pages
File Size : 54,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881406

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Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 by R. D. Anderson Pdf

In essence the proceedings of the 1967 meeting in Baton Rouge, the volume offers significant papers in the topology of infinite dimensional linear spaces, fixed point theory in infinite dimensional spaces, infinite dimensional differential topology, and infinite dimensional pointset topology. Later results of the contributors underscore the basic soundness of this selection, which includes survey and expository papers, as well as reports of continuing research.

Author : John von Neumann
Publisher : Princeton University Press
Page : 116 pages
File Size : 50,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882250

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Functional Operators (AM-22), Volume 2 by John von Neumann Pdf

Measures and integrals

Author : Harold William Kuhn,Albert William Tucker
Publisher : Princeton University Press
Page : 346 pages
File Size : 47,9 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881987

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Linear Inequalities and Related Systems. (AM-38), Volume 38 by Harold William Kuhn,Albert William Tucker Pdf

The description for this book, Linear Inequalities and Related Systems. (AM-38), Volume 38, will be forthcoming.

Author : Ali H. Sayed
Publisher : Cambridge University Press
Page : 1106 pages
File Size : 43,9 Mb
Release : 2022-12-22
Category : Technology & Engineering
ISBN : 9781009218139

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Inference and Learning from Data: Volume 1 by Ali H. Sayed Pdf

This extraordinary three-volume work, written in an engaging and rigorous style by a world authority in the field, provides an accessible, comprehensive introduction to the full spectrum of mathematical and statistical techniques underpinning contemporary methods in data-driven learning and inference. This first volume, Foundations, introduces core topics in inference and learning, such as matrix theory, linear algebra, random variables, convex optimization and stochastic optimization, and prepares students for studying their practical application in later volumes. A consistent structure and pedagogy is employed throughout this volume to reinforce student understanding, with over 600 end-of-chapter problems (including solutions for instructors), 100 figures, 180 solved examples, datasets and downloadable Matlab code. Supported by sister volumes Inference and Learning, and unique in its scale and depth, this textbook sequence is ideal for early-career researchers and graduate students across many courses in signal processing, machine learning, statistical analysis, data science and inference.

Author : I-Hsiung Lin
Publisher : World Scientific Publishing Company
Page : 880 pages
File Size : 50,7 Mb
Release : 2005-03-21
Category : Computers
ISBN : 9789813102088

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Geometric Linear Algebra by I-Hsiung Lin Pdf

This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on geometric characterizations. The book applies known results to describe various geometries and their invariants, and presents problems concerned with linear algebra, such as in real and complex analysis, differential equations, differentiable manifolds, differential geometry, Markov chains and transformation groups. The clear and inductive approach makes this book unique among existing books on linear algebra both in presentation and in content.