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

Format:

Book

Author/Creator:

Halmos, Paul R. (Paul Richard), 1916-2006, author.

Series:

Annals of mathematics studies ; no. 7.

Annals of Mathematics Studies ; 285

Language:

English

Subjects (All):

Transformations (Mathematics).

Generalized spaces.

Physical Description:

1 online resource (206 pages)

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

In English.

Summary:

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."

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

Notes:

"Lithoprinted."

Bibliography.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400882236

1400882230

OCLC:

979836508