Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos.
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 N...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1947 |
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Halmos, Paul R., author. aut http://id.loc.gov/vocabulary/relators/aut Finite Dimensional Vector Spaces. (AM-7), Volume 7 / Paul R. Halmos. Princeton, NJ : Princeton University Press, [2016] ©1947 1 online resource (196 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 7 PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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." Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Logic, Symbolic and mathematical. Mathematical models. Vector spaces. MATHEMATICS / Algebra / Linear. bisacsh Absolute value. Accuracy and precision. Addition. Affine space. Algebraic closure. Algebraic equation. Algebraic operation. Algebraically closed field. Associative property. Automorphism. Axiom. Banach space. Basis (linear algebra). Bilinear form. Bounded operator. Cardinal number. Cayley transform. Characteristic equation. Characterization (mathematics). Coefficient. Commutative property. Complex number. Complex plane. Computation. Congruence relation. Convex set. Coordinate system. Determinant. Diagonal matrix. Dimension (vector space). Dimension. Dimensional analysis. Direct product. Direct proof. Direct sum. Division by zero. Dot product. Dual basis. Eigenvalues and eigenvectors. Elementary proof. Equation. Euclidean space. Existential quantification. Function of a real variable. Functional calculus. Fundamental theorem. Geometry. Gram-Schmidt process. Hermitian matrix. Hilbert space. Infimum and supremum. Jordan normal form. Lebesgue integration. Linear combination. Linear function. Linear independence. Linear map. Linear programming. Linearity. Manifold. Mathematical induction. Mathematics. Minimal polynomial (field theory). Minor (linear algebra). Monomial. Multiplication sign. Natural number. Nilpotent. Normal matrix. Normal operator. Number theory. Orthogonal basis. Orthogonal complement. Orthogonal coordinates. Orthogonality. Orthonormality. Polynomial. Quotient space (linear algebra). Quotient space (topology). Real number. Real variable. Scalar (physics). Scientific notation. Series (mathematics). Set (mathematics). Sign (mathematics). Special case. Spectral theorem. Spectral theory. Summation. Tensor calculus. Theorem. Topology. Transitive relation. Unbounded operator. Uncountable set. Unit sphere. Unitary transformation. Variable (mathematics). Vector space. Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691090955 https://doi.org/10.1515/9781400882236 https://www.degruyter.com/isbn/9781400882236 Cover https://www.degruyter.com/document/cover/isbn/9781400882236/original |
language |
English |
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author |
Halmos, Paul R., Halmos, Paul R., |
spellingShingle |
Halmos, Paul R., Halmos, Paul R., Finite Dimensional Vector Spaces. (AM-7), Volume 7 / Annals of Mathematics Studies ; PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS |
author_facet |
Halmos, Paul R., Halmos, Paul R., |
author_variant |
p r h pr prh p r h pr prh |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Halmos, Paul R., |
title |
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / |
title_full |
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / Paul R. Halmos. |
title_fullStr |
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / Paul R. Halmos. |
title_full_unstemmed |
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / Paul R. Halmos. |
title_auth |
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / |
title_alt |
PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS |
title_new |
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / |
title_sort |
finite dimensional vector spaces. (am-7), volume 7 / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (196 p.) Issued also in print. |
contents |
PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS |
isbn |
9781400882236 9783110494914 9783110442496 9780691090955 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA186 |
callnumber-sort |
QA 3186 H34 41948EB |
url |
https://doi.org/10.1515/9781400882236 https://www.degruyter.com/isbn/9781400882236 https://www.degruyter.com/document/cover/isbn/9781400882236/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512.52 |
dewey-sort |
3512.52 |
dewey-raw |
512.52 |
dewey-search |
512.52 |
doi_str_mv |
10.1515/9781400882236 |
oclc_num |
979836508 |
work_keys_str_mv |
AT halmospaulr finitedimensionalvectorspacesam7volume7 |
status_str |
n |
ids_txt_mv |
(DE-B1597)467989 (OCoLC)979836508 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Finite Dimensional Vector Spaces. (AM-7), Volume 7 / |
container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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