9789332550070, Linear Algebra 2e, Kenneth M Hoffman (Author), Prentice Hall India Learning Private Limited, Paperback, English, Worldwide

Kenneth M. Hoffman was a renowned American mathematician and educator, best known for his contributions to linear algebra and functional analysis. He served as a professor of mathematics at various institutions and influenced many students throughout his career. Hoffman was committed to clear and rigorous teaching, which is reflected in his textbooks. His works are widely respected for their clarity and mathematical depth. In addition to his academic career, Hoffman wrote extensively, contributing significantly to the field of mathematics. His textbooks, including Linear Algebra, remain popular in mathematics education today.

• Linear Equations

  • 1.1. Fields
  • 1.2. Systems of Linear Equations
  • 1.3. Matrices and Elementary Row Operations
  • 1.4. Row-Reduced Echelon Matrices
  • 1.5. Matrix Multiplication
  • 1.6. Invertible Matrices

• Vector Spaces

  • 2.1. Vector Spaces
  • 2.2. Subspaces
  • 2.3. Bases and Dimension
  • 2.4. Coordinates
  • 2.5. Summary of Row-Equivalence
  • 2.6. Computations Concerning Subspaces

• Linear Transformations

  • 3.1. Linear Transformations
  • 3.2. The Algebra of Linear Transformations
  • 3.3. Isomorphism
  • 3.4. Representation of Transformations by Matrices
  • 3.5. Linear Functionals
  • 3.6. The Double Dual
  • 3.7. The Transpose of a Linear Transformation

• Polynomials

  • 4.1. The Algebra of Polynomials
  • 4.2. Lagrange Interpolation
  • 4.3. Polynomial Ideals
  • 4.4. The Prime Factorization of a Polynomial

• Determinants

  • 5.1. Determinant Functions
  • 5.2. Permutations and the Uniqueness of Determinants
  • 5.3. Additional Properties of Determinants

• Elementary Canonical Forms

  • 6.1. Characteristic Values
  • 6.2. Annihilating Polynomials
  • 6.3. Invariant Subspaces
  • 6.4. Simultaneous Triangulation; Simultaneous Diagonalization
  • 6.5. Direct-Sum Decompositions
  • 6.6. Invariant Direct Sums
  • 6.7. The Primary Decomposition Theorem

• The Rational and Jordan Forms

  • 7.1. Cyclic Subspaces and Annihilators
  • 7.2. Cyclic Decompositions and the Rational Form
  • 7.3. The Jordan Form
  • 7.4. Computation of Invariant Factors
  • 7.5. Summary; Semi-Simple Operators

• Inner Product Spaces

  • 8.1. Inner Products
  • 8.2. Inner Product Spaces
  • 8.3. Linear Functionals and Adjoints
  • 8.4. Unitary Operators
  • 8.5. Normal Operators

• Operators on Inner Product Spaces

  • 9.1. Forms on Inner Product Spaces
  • 9.2. Positive Forms
  • 9.3. Spectral Theory

• Bilinear Forms

  • 10.1. Bilinear Forms
  • 10.2. Symmetric Bilinear Forms
  • 10.3. Skew-Symmetric Bilinear Forms
  • 10.4. Groups Preserving Bilinear Forms

• Publisher ‏ : ‎ Prentice Hall India Learning Private Limited; 2nd edition (1 January 2015); Pearson Education
• Language ‏ : ‎ English
• Paperback ‏ : ‎ 416 pages
• ISBN-13 ‏ : ‎ 978-9332550070
• Item Weight ‏ : ‎ 0.418 Kg
• Dimensions ‏ : ‎ 20 x 5 x 25 cm