Finite Dimensional Vector Spaces

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."

About the author

The author obtained his Ph.D. from the University of Illinois at Urbana-Champaign. He worked for the Institute for Advanced Study, the University of Chicago, . . . . He was recognized as a great analyst and mathematical expositor.

Summary

Combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. This book provides introduction to linear algebra, a branch of mathematics that studies vectors and vector spaces.

Product details

• Authors: P.R. Halmos, Paul Halmos, Paul R Halmos, Paul R. Halmos, Halmos Paul R., Paul R. Halmos
• Assisted by: Phillip Griffiths (Editor), Elias Halmos (Editor), John N. Mather (Editor)
• Publisher: Princeton University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 30.10.2001
• EAN: 9780691090955
• ISBN: 978-0-691-09095-5
• No. of pages: 208
• Dimensions: 152 mm x 230 mm x 13 mm
• Series: Annals of Mathematics Studies; Annals of Mathematics Studies
• Subjects: Education and learning > Teaching preparation > Vocational needs; Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Calculus and mathematical analysis