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.
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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.
1. Determinants 2. Linear Spaces 3. Systems of Linear Equations 4. Linear Functions of a Vector Argument 5. Coordinate Transformations 6. Bilinear and Quadratic Forms 7. Euclidean Spaces 8. Orthogonalization and the Measurement of Volume 9. Invariant Subspaces and Eigenvectors 10. Quadratic Forms in a Euclidean Space 11. Quadric Surfaces 12. Infinite-Dimensional Euclidean Spaces Bibliography Index
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Paperback. Condizione: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780486630700
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