Introduction to Differential Geometry (eBook)

Luther Pfahler Eisenhart (Autor)

eBook Download: PDF

2015
316 Seiten
Princeton University Press (Verlag)
978-1-4008-7786-7 (ISBN)

Infos

Book 3 in the Princeton Mathematical Series.Originally published in 1950.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Produkt-Details

• Erscheint lt. Verlag: 8.12.2015
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Algebraic Method • algebraic surface • Basis (linear algebra) • Cartesian coordinate system • Center of curvature • Christoffel Symbols • coefficient • Conjugate transpose • coordinate system • Covariance and contravariance of vectors • covariant derivative • Curvature • Curvature form • Cylinder (geometry) • Derivative • Determinant • developable surface • Differential Calculus • differential equation • differential form • Differential Geometry • Differential geometry of curves • differential geometry of surfaces • direction cosine • Direction vector • Einstein notation • elliptic function • Equation • Equations of motion • Euler's Theorem • Evolute • existential quantification • first fundamental form • Frenet–Serret formulas • Gaussian curvature • geodesic • Geodesic Curvature • Geodesy • Geometry • Hyperbolic function • Hyperbolic point • Integral curve • Integrating factor • Intrinsic equation • Involute • Jacobian matrix and determinant • Kronecker delta • linear differential equation • Linear map • Line–line intersection • Line segment • mean curvature • Metric tensor • Metric tensor (general relativity) • Mixed tensor • Normal (geometry) • Normal plane (geometry) • ordinary differential equation • Orthogonal coordinates • Orthogonal trajectory • Parabola • parallelogram • parametric equation • partial derivative • partial differential equation • Plane curve • Polar coordinate system • Projection (linear algebra) • Proportionality (mathematics) • quadratic form • Quadric • Quantity • radius of curvature • Riccati Equation • Ricci curvature • Riemannian Geometry • scalar curvature • Scalar (physics) • Second fundamental form • Series (mathematics) • Sign (mathematics) • Simultaneous Equations • Skew-symmetric matrix • Summation • Surface of revolution • Symmetric tensor • Tangent • Tangent Space • Tangent vector • Tensor • tensor calculus • Theorem • Torsion of a curve • Total curvature • Trigonometric Functions • Umbilical point • Unit sphere • Unit vector • Variable (mathematics) • Vector field
• ISBN-10: 1-4008-7786-5 / 1400877865
• ISBN-13: 978-1-4008-7786-7 / 9781400877867