An Introduction to the Theory of Linear Spaces

    An Introduction to the Theory of Linear Spaces

    By Georgi E. Shilov and Richard A. Silverman

    $19.95

    Publication Date: 21st October 2010

    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.

    Reprint of the Prentice-Hall, 1961 edition.
    Formats
    Paperback
    49 in stock
    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.

    Reprint of the Prentice-Hall, 1961 edition.
    Description
    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.

    Reprint of the Prentice-Hall, 1961 edition.
    Details
    • Price: $19.95
    • Pages: 320
    • Publisher: Dover Publications
    • Imprint: Dover Publications
    • Series: Dover Books on Mathematics
    • Publication Date: 21st October 2010
    • Trim Size: 5.37 x 8.5 in
    • ISBN: 9780486630700
    • Format: Paperback
    • BISACs:
      MATHEMATICS / Algebra / Linear
    Author Bio
    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.
    Table of Contents
    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
    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.

    Reprint of the Prentice-Hall, 1961 edition.
    • Price: $19.95
    • Pages: 320
    • Publisher: Dover Publications
    • Imprint: Dover Publications
    • Series: Dover Books on Mathematics
    • Publication Date: 21st October 2010
    • Trim Size: 5.37 x 8.5 in
    • ISBN: 9780486630700
    • Format: Paperback
    • BISACs:
      MATHEMATICS / Algebra / Linear
    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