A01=Paul R. Halmos
Addition
Affine space
Aldehyde
Algebraic operation
Algebraic structure
Araldite
Author_Paul R. Halmos
Automorphism
Banach space
Basis (linear algebra)
Big O notation
Butyl
Category=PBK
Characteristic polynomial
Commutative property
Complex number
Continuous function (set theory)
Convex polygon
Coordinate system
Dimension
Dimension (vector space)
Dimensional analysis
Direct product
Direct sum
Dual basis
Eigenvalues and eigenvectors
Electron microscope
Elementary proof
Embedding
Epoxy
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclidean space
Existential quantification
Fixation (histology)
Formaldehyde
Glutaraldehyde
Hilbert space
Inequality (mathematics)
Infimum and supremum
Isomorphism
Isomorphism theorem
Linear combination
Linear independence
Linear map
Linear programming
Linearity
Lipid
Methacrylate
Minimal polynomial (linear algebra)
Monomial
Orthonormality
Osmium tetroxide
Paragraph
Polynomial
Polypropylene glycol
Processing (programming language)
Quantity
Quotient space (topology)
Real number
Russians
Scalar (physics)
Scalar multiplication
Series (mathematics)
Set (mathematics)
Spectral theorem
Summation
Theorem
Unbounded operator
Uranyl acetate
Vacuum
Variable (mathematics)
Vector space
Weak convergence (Hilbert space)
Product details
- ISBN 9780691090955
- Weight: 312g
- Dimensions: 152 x 229mm
- Publication Date: 21 Jan 1947
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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."
