Vector Spaces and Matrices / Dover Publications (ePub)
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The early chapters supply a far more detailed exposition than found in many texts, important for the student having his first experience with mathematical rigor. Concepts of vector space, linear transformation, and matrix are presented, then applied to solution of systems of linear equations. A self-contained development of the theory of determinants is given; the student is introduced to the general concept of invariant; then to the theory of similarity. Exposition of the bilinear and quadratic forms and of orthogonal equivalence follow. The last four chapters are more advanced in nature and the level of treatment somewhat higher. The standard theory of polynomials in one indeterminate is given; the development of the general theory of simple algebraic extensions of a field is presented in a form that can be used as a foundation for Galois theory and also for the general similarity theory. The standard canonical forms for matrices with integral or polynomial elements are presented, followed by the similarity theory, with applications to geometry and to differential equations. The final chapter provides an introduction to the important topic of linear inequalities, often neglected in elementary texts on matrix theory. The objective is to provide the student with sufficient background to read books and papers on game theory and linear programming. Exercises follow each exposition.
- Autoren: Robert M. Thrall , Leonard Tornheim
- 2014, 336 Seiten, Englisch
- Verlag: Dover Publications
- ISBN-10: 0486321053
- ISBN-13: 9780486321059
- Erscheinungsdatum: 15.01.2014
Abhängig von Bildschirmgrösse und eingestellter Schriftgrösse kann die Seitenzahl auf Ihrem Lesegerät variieren.
- Dateiformat: ePub
- Grösse: 17 MB
- Mit Kopierschutz
Die Ernährungs-Docs - Zuckerfrei gesünder leben
Anne Dr. med. Fleck, Jörn Klasen, MATTHIAS DR. MED. RIEDL, Silja Schäfer
Statt Fr. 26.95 5
Fr. 19.95 4
Ein verheissenes Land
Barack Obama
Statt Fr. 54.95
Fr. 45.95
Die Frau zwischen den Welten
Hera Lind
Statt Fr. 14.95 19
Fr. 14.00
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