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Linear Algebra
  • Language: en
  • Pages: 276

Linear Algebra

  • Type: Book
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  • Published: 1972
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  • Publisher: Unknown

None

Positive Linear Maps of Operator Algebras
  • Language: en
  • Pages: 136

Positive Linear Maps of Operator Algebras

This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the study of entanglement in quantum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining the properties and structures of positive linear maps of operator algebras into the bounded operators on a Hilbert space, he guides readers through proofs of the Stinespring theorem and its applications to inequalities for positive maps. The text examines the maps’ positivity properties, as well as...

Fundamentals of linear algebra
  • Language: en
  • Pages: 279

Fundamentals of linear algebra

  • Type: Book
  • -
  • Published: 1970
  • -
  • Publisher: Unknown

None

Elementary Linear Algebra
  • Language: en
  • Pages: 475

Elementary Linear Algebra

Elementary Linear Algebra, First Canadian Edition, features a computational emphasis and contains just the right mix of theory and worked examples. The authors provide students with easy-to-read explanations, examples, proofs and procedures and also stress that linear algebra has many interesting and important applications, both in the sciences and the arts. The book mixes the theory and practice of linear algebra seamlessly, with a variety of interesting and topical applications such as music and fractals throughout, including one section that deals with using Fourier transforms to uncover the secrets behind the opening chords of a song!

Exercises in Linear Algebra
  • Language: en
  • Pages: 232

Exercises in Linear Algebra

This is a book of exercises in Linear Algebra. Through a systematic detailed discussion of 200 solved exercises, important concepts and topics are reviewed. The student is led to make a systematic review of topics from the basics to more advanced material, with emphasis on points that often cause the greatest difficulties. The solved exercises are followed by an additional 200 proposed exercises (with answers), thus guiding the student to a systematic consolidation of all topics. The contents follow closely the majority of the introductory courses of Linear Algebra. We consider in particular systems of linear equations, matrices, determinants, vector spaces, linear transformations, inner products, norms, eigenvalues and eigenvectors. The variety of exercises allows the adjustment to different levels in each topic.

Abstract Linear Algebra
  • Language: en
  • Pages: 168

Abstract Linear Algebra

Beginning from scratch and developing the standard topics of Linear Algebra, this book is intended as a text for a first course on the subject. The goal to which this work leads is the Theorem of Hurwitz - that the only normed algebras over the real numbers are the real numbers, the complex numbers, the quaternions, and the octonions. Unique in presenting this material at an elementary level, the book stresses the complete logical development of the subject and will provide a bavuable reference for mathematicians in general.

Introduction to linear algebra
  • Language: en
  • Pages: 226

Introduction to linear algebra

This is the first book on linear algebra written specifically for social scientists. It deals only with those aspects of the subject applicable in the social sciences and provides a thorough understanding of linear algebra for those who wish to use it as a tool in the design, execution, and interpretation of research. Linear mathematical models play an important role in all of the social sciences. This book provides a step-by-step introduction to those parts of linear algebra which are useful in such model building. It illustrates some of the applications of linear analysis and helps the reader learn how to convert his formulation of a social science problem into algebraic terms. The author ...

Linear Algebra
  • Language: en
  • Pages: 444

Linear Algebra

None

Text Book of Linear Algebra
  • Language: en
  • Pages: 510

Text Book of Linear Algebra

None

Special Set Linear Algebra and Special Set Fuzzy Linear Algebra
  • Language: en
  • Pages: 467

Special Set Linear Algebra and Special Set Fuzzy Linear Algebra

Special Set Linear Algebras introduced by the authors in this book is an extension of Set Linear Algebras, which are the most generalized form of linear algebras. These structures can be applied to multi-expert models. The dominance of computers in everyday life calls for a paradigm shift in the concepts of linear algebras. The authors belief that special set linear algebra will cater to that need.