Introduction to the Theory of Linear Spaces (eBook)

Georgi E. Shilov, Richard A. Silverman (Autoren)

eBook Download: EPUB

2012
320 Seiten
Dover Publications (Verlag)
978-0-486-13943-2 (ISBN)

Infos

Introductory treatment offers a clear exposition of algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. Numerous examples illustrate many different fields, and problems include hints or answers. 1961 edition.

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This introduction to linear algebra and functional analysis offers a clear expository treatment, viewing algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. All abstract ideas receive a high degree of motivation, and numerous examples illustrate many different fields of mathematics. Abundant problems include hints or answers.

Autor

Soviet mathematician Georgi E. Shilov (1917-75) was a longtime Professor of Mathematics at Moscow State University and the author of several other successful Dover reprints.

Inhalt

1. Determinants2. Linear Spaces3. Systems of Linear Equations4. Linear Functions of a Vector Argument5. Coordinate Transformations6. Bilinear and Quadratic Forms7. Euclidean Spaces8. Orthogonalization and the Measurement of Volume9. Invariant Subspaces and Eigenvectors10. Quadratic Forms in a Euclidean Space11. Quadric Surfaces12. Infinite-Dimensional Euclidean SpacesBibliographyIndex

Produkt-Details

• Erscheint lt. Verlag: 3.12.2012
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 353 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Schlagworte: Analysis • Answers • Examples • expository treatment • Functional Analysis • Geometry • Hints • illustrate • integrated whole • Introduction • linear algebra • Mathematics • Motivation • Physics • Problems • Science • science and math • separate subjects
• ISBN-10: 0-486-13943-3 / 0486139433
• ISBN-13: 978-0-486-13943-2 / 9780486139432