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Advanced Linear Algebra (Textbooks in Mathematics) - Hardcover

 
9781466559011: Advanced Linear Algebra (Textbooks in Mathematics)

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Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics.

The book’s 20 chapters are grouped into six main areas: algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. The level of abstraction gradually increases as students proceed through the text, moving from matrices to vector spaces to modules.

Each chapter consists of a mathematical vignette devoted to the development of one specific topic. Some chapters look at introductory material from a sophisticated or abstract viewpoint while others provide elementary expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel treatments of standard results. Unlike similar advanced mathematical texts, this one minimizes the dependence of each chapter on material found in previous chapters so that students may immediately turn to the relevant chapter without first wading through pages of earlier material to access the necessary algebraic background and theorems.

Chapter summaries contain a structured list of the principal definitions and results. End-of-chapter exercises aid students in digesting the material. Students are encouraged to use a computer algebra system to help solve computationally intensive exercises.

"synopsis" may belong to another edition of this title.

  • PublisherChapman and Hall/CRC
  • Publication date2014
  • ISBN 10 1466559012
  • ISBN 13 9781466559011
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages632

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ISBN 10: 1466559012 ISBN 13: 9781466559011
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Hardcover. Condition: new. Hardcover. Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that highlight the rich interconnections of the subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The books 20 chapters are grouped into six main areas: algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra. The level of abstraction gradually increases as students proceed through the text, moving from matrices to vector spaces to modules.Each chapter consists of a mathematical vignette devoted to the development of one specific topic. Some chapters look at introductory material from a sophisticated or abstract viewpoint while others provide elementary expositions of more theoretical concepts. Several chapters offer unusual perspectives or novel treatments of standard results. Unlike similar advanced mathematical texts, this one minimizes the dependence of each chapter on material found in previous chapters so that students may immediately turn to the relevant chapter without first wading through pages of earlier material to access the necessary algebraic background and theorems. Chapter summaries contain a structured list of the principal definitions and results. End-of-chapter exercises aid students in digesting the material. Students are encouraged to use a computer algebra system to help solve computationally intensive exercises. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781466559011

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Condition: New. Series: Textbooks in Mathematics. Num Pages: 632 pages, 25 black & white illustrations, 15 black & white tables. BIC Classification: PBF. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 259 x 180 x 39. Weight in Grams: 1238. . 2014. 1st Edition. Hardcover. . . . . Seller Inventory # V9781466559011

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Condition: New. Series: Textbooks in Mathematics. Num Pages: 632 pages, 25 black & white illustrations, 15 black & white tables. BIC Classification: PBF. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 259 x 180 x 39. Weight in Grams: 1238. . 2014. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9781466559011

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