A Guide to Advanced Linear Algebra (Dolciani Mathematical Expositions)

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9780883853511: A Guide to Advanced Linear Algebra (Dolciani Mathematical Expositions)

Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level, and is directed at graduate students and professional mathematicians. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Students in algebra, analysis, and topology will find much of interest and use to them, and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.

Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups.

The book treats vector spaces in full generality, though it concentrates on the finite dimensional case. Also, it treats vector spaces over arbitrary fields, specializing to algebraically closed fields or to the fields of real and complex numbers as necessary.

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Book Description:

The core of linear algebra is essential to most mathematicians. This book is ideal for graduate students and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives.

About the Author:

Steven H. Weintraub is Professor of Mathematics at Lehigh University. He was born in New York, received his undergraduate and graduate degrees from Princeton University, and was on the permanent faculty at Louisiana State University for many years before moving to Lehigh in 2001. He is the author of over 50 research papers and this is his ninth book.

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Steven H. Weintraub
Editorial: Mathematical Association of America, United States (2011)
ISBN 10: 0883853515 ISBN 13: 9780883853511
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Descripción Mathematical Association of America, United States, 2011. Hardback. Estado de conservación: New. New.. Language: English . Brand New Book. Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups. Students in algebra, analysis and topology will all find much of interest and use to them and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives. Nº de ref. de la librería AAA9780883853511

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Steven H. Weintraub
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Descripción Mathematical Association of America. Hardback. Estado de conservación: new. BRAND NEW, A Guide to Advanced Linear Algebra, Steven H. Weintraub, Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups. Students in algebra, analysis and topology will all find much of interest and use to them and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives. Nº de ref. de la librería B9780883853511

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Weintraub, Steven H.
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ISBN 10: 0883853515 ISBN 13: 9780883853511
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Descripción Mathematical Association of America, 2011. Hardcover. Estado de conservación: New. Brand new. Clean, unmarked pages. Fine binding and cover. Hardcover. Ships daily. Nº de ref. de la librería 1603230074

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Steven H. Weintraub
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Descripción Mathematical Association of America, United States, 2011. Hardback. Estado de conservación: New. New.. Language: English . Brand New Book. Linear algebra occupies a central place in modern mathematics. This book provides a rigorous and thorough development of linear algebra at an advanced level. It approaches linear algebra from an algebraic point of view, but its selection of topics is governed not only for their importance in linear algebra itself, but also for their applications throughout mathematics. Topics treated in this book include: vector spaces and linear transformations; dimension counting and applications; representation of linear transformations by matrices; duality; determinants and their uses; rational and especially Jordan canonical form; bilinear forms; inner product spaces; normal linear transformations and the spectral theorem; and an introduction to matrix groups as Lie groups. Students in algebra, analysis and topology will all find much of interest and use to them and the careful treatment and breadth of subject matter will make this book a valuable reference for mathematicians throughout their professional lives. Nº de ref. de la librería AAA9780883853511

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Weintraub, Steven H.
Editorial: The Mathematical Association of America (2011)
ISBN 10: 0883853515 ISBN 13: 9780883853511
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Descripción The Mathematical Association of America, 2011. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería FM-9780883853511

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Weintraub, Steven H.
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Descripción Mathematical Assn of Amer, 2011. Hardcover. Estado de conservación: Brand New. 251 pages. 9.50x6.00x0.80 inches. In Stock. Nº de ref. de la librería __0883853515

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STEVEN H. WEINTRAUB
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Descripción 2011. Hardback. Estado de conservación: NEW. 9780883853511 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0483760

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Descripción Mathematical Association of America, 2011. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0883853515

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Descripción Mathematical Association of America, 2011. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0883853515

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Descripción Mathematical Association of America. Hardcover. Estado de conservación: New. 0883853515 New Condition. Nº de ref. de la librería NEW6.0584804

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