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All the mathematics you missed : but need to know for graduate school / Thomas A. Garrity.

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Author/Creator:
Garrity, Thomas A., 1959-
Language:
English.
Publication date:
2002
Imprint:
Cambridge, UK ; New York, NY : Cambridge University Press, 2002.
Format:
  • Book
  • xxvii, 347 p. : ill ; 24 cm.
Bibliography:
Includes bibliographical references (p. [329]-337) and index.
Contents:
  • On the Structure of Mathematics
  • Linear Algebra
  • Real Analysis
  • Differentiating Vector-Valued Functions
  • Point Set Topology
  • Classical Stokes' Theorems
  • Differential Forms and Stokes' Theorem
  • Curvature for Curves and Surfaces
  • Geometry
  • Complex Analysis
  • Countability and the Axiom of Choice
  • Algebra
  • Lebesgue Integration
  • Fourier Analysis
  • Differential Equations
  • Combinatorics and Probability Theory
  • Algorithms
  • Linear Algebra
  • The Basic Vector Space R[superscript n]
  • Vector Spaces and Linear Transformations
  • Bases and Dimension
  • The Determinant
  • The Key Theorem of Linear Algebra
  • Similar Matrices
  • Eigenvalues and Eigenvectors
  • Dual Vector Spaces
  • [epsilon] and [delta] Real Analysis
  • Limits
  • Continuity
  • Differentiation
  • Integration
  • The Fundamental Theorem of Calculus
  • Pointwise Convergence of Functions
  • Uniform Convergence
  • The Weierstrass M-Test
  • Weierstrass' Example
  • Calculus for Vector-Valued Functions
  • Vector-Valued Functions
  • Limits and Continuity
  • Differentiation and Jacobians
  • The Inverse Function Theorem
  • Implicit Function Theorem
  • Point Set Topology
  • The Standard Topology on R[superscript n]
  • Metric Spaces
  • Bases for Topologies
  • Zariski Topology of Commutative Rings
  • Classical Stokes' Theorems
  • Preliminaries about Vector Calculus
  • Vector Fields
  • Manifolds and Boundaries
  • Path Integrals
  • Surface Integrals
  • The Gradient
  • The Divergence
  • The Curl
  • Orientability.
Subjects:
ISBN:
0521792851
9780521792851
0521797071
9780521797078

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