𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

Advanced Linear Algebra

✍ Scribed by Steven Roman (auth.)

Publisher
Springer
Year
2005
Tongue
English
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Table of Contents

Preliminaries....Pages 1-30
Front Matter....Pages 31-31
Vector Spaces....Pages 33-54
Linear Transformations....Pages 55-74
The Isomorphism Theorems....Pages 75-91
Modules I: Basic Properties....Pages 93-108
Modules II: Free and Noetherian Modules....Pages 109-120
Modules over a Principal Ideal Domain....Pages 121-140
The Structure of a Linear Operator....Pages 141-152
Eigenvalues and Eigenvectors....Pages 153-179
Real and Complex Inner Product Spaces....Pages 181-199
Structure Theory for Normal Operators....Pages 201-235
Front Matter....Pages 237-237
Metric Vector Spaces: The Theory of Bilinear Forms....Pages 239-282
Metric Spaces....Pages 283-306
Hilbert Spaces....Pages 307-335
Tensor Products....Pages 337-393
Positive Solutions to Linear Systems: Convexity and Separation....Pages 395-408
Affine Geometry....Pages 409-423
Operator Factorizations: QR and Singular Value....Pages 425-436
The Umbral Calculus....Pages 437-472

✦ Subjects

Linear and Multilinear Algebras, Matrix Theory

πŸ“œ SIMILAR VOLUMES

Advanced Linear Algebra
πŸ“ Advanced Linear Algebra
✍ Nicholas Loehr πŸ“‚ Library πŸ“… 2014 πŸ› Chapman and Hall/CRC 🌐 English

<P>Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, <STRONG>Advanced Linear Algebra</STRONG> covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear algebra that hig

Advanced linear algebra
πŸ“ Advanced linear algebra
✍ Woerdeman, Hugo Jan πŸ“‚ Library πŸ“… 2016 πŸ› CRC Press 🌐 English

Advanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The authors emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over

Advanced linear algebra
πŸ“ Advanced linear algebra
✍ Cooperstein, Bruce πŸ“‚ Library πŸ“… 2015 πŸ› Chapman & Hall/CRC 🌐 English

Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need

Advanced Linear Algebra
πŸ“ Advanced Linear Algebra
✍ Hugo Woerdeman πŸ“‚ Library πŸ“… 2015 πŸ› CRC Press 🌐 English

<p><strong>Advanced Linear Algebra</strong> features a student-friendly approach to the theory of linear algebra. The author’s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and<strike> </strike>complex numbers

Advanced Linear Algebra
πŸ“ Advanced Linear Algebra
✍ Nicholas A. Loehr πŸ“‚ Library πŸ“… 2024 πŸ› Chapman and Hall/CRC 🌐 English

<p><span>Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, </span><span>Advanced Linear Algebra</span><span> covers theoretical aspects of the subject, along with examples, computations, and proofs. It explores a variety of advanced topics in linear a