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A01=Luther Pfahler Eisenhart
Absolute value
Affine connection
Author_Luther Pfahler Eisenhart
Basis (linear algebra)
Big O notation
Cartesian coordinate system
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Category=PBMP
Category=PH
Christoffel symbols
Coefficient
Conformal map
Constant curvature
Constant of integration
Coordinate system
Covariance and contravariance of vectors
Covariant derivative
Curvature
Derivative
Determinant
Differential form
Einstein notation
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eq_isMigrated=2
eq_nobargain
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Equation
Euclidean space
Euclidean vector
Existential quantification
First variation
Frenet-Serret formulas
Geometry
Homogeneous coordinates
Homotopy
Hypersphere
Hypersurface
Infinitesimal generator (stochastic processes)
Infinitesimal transformation
Integral curve
Kronecker delta
Linear combination
Linear differential equation
Linear map
Maxima and minima
Metric tensor
Minkowski space
Mixed tensor
Null vector
Orthogonality
Outer product
Parameter
Parametric equation
Partial differential equation
Prime number
Proportionality (mathematics)
Quadratic form
Quadric
Quantity
Ricci curvature
Riemannian geometry
Riemannian manifold
Scalar curvature
Second fundamental form
Semigroup
Simultaneous equations
Special case
Summation
Sylvester's law of inertia
Symmetric tensor
Tensor density
Theorem
Three-dimensional space (mathematics)
Umbilical point
Unit vector
Vector field
Zero of a function
Product details
- ISBN 9780691023533
- Weight: 454g
- Dimensions: 197 x 254mm
- Publication Date: 02 Nov 1997
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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In his classic work of geometry, Euclid focused on the properties of flat surfaces. In the age of exploration, mapmakers such as Mercator had to concern themselves with the properties of spherical surfaces. The study of curved surfaces, or non-Euclidean geometry, flowered in the late nineteenth century, as mathematicians such as Riemann increasingly questioned Euclid's parallel postulate, and by relaxing this constraint derived a wealth of new results. These seemingly abstract properties found immediate application in physics upon Einstein's introduction of the general theory of relativity. In this book, Eisenhart succinctly surveys the key concepts of Riemannian geometry, addressing mathematicians and theoretical physicists alike.
