Geometric Integration Theory (eBook)

Hassler Whitney (Autor)

eBook Download: PDF

2015
404 Seiten
Princeton University Press (Verlag)
978-1-4008-7757-7 (ISBN)

Infos

A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and complete proofs of the basic theorems.Originally published in 1957.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: absolute continuity • Affine coordinate system • Affine space • affine transformation • Algebraic topology (object) • Antiderivative • Banach space • Barycentric coordinate system • Basis (linear algebra) • Betti number • Big O notation • bijection • bilinear map • Bivector • Borel set • Bounded set (topological vector space) • Bounded Variation • Cap product • Cartesian Product • Cauchy Sequence • Characterization (mathematics) • cohomology • Compact space • complete metric space • Complete theory • continuous function • coordinate system • Cup product • Dense set • differentiable manifold • differential form • Dimension (vector space) • Distribution (mathematics) • dot product • Euclidean space • Exact differential • existence theorem • Exterior algebra • exterior derivative • Exterior (topology) • Fubini's Theorem • Function (mathematics) • Grassmannian • Hausdorff measure • Homeomorphism • Homotopy • improper integral • Infimum and supremum • Integration by parts • Interior product • Intersection (set theory) • Jacobian matrix and determinant • Lebesgue integration • Lebesgue measure • Limit point • Linear combination • Linear extension • Linear Function • Linear map • Linear space (geometry) • Lipschitz continuity • Maximal set • Measurable function • Metric Space • Monotonic Function • Natural topology • N-vector • Open set • Orthogonal complement • Orthonormality • partial derivative • partially ordered set • partition of unity • Permutation • Projection (linear algebra) • Rademacher's theorem • Radon–Nikodym theorem • real number • Riemannian manifold • Sign (mathematics) • simplicial complex • Simply connected space • Skew-symmetric matrix • Smoothness • Special case • step function • Stokes' theorem • Stone–Weierstrass theorem • Subset • Summation • Support (mathematics) • Tangent Space • Theorem • Topological space • total variation • Triangle Inequality • uniform continuity • Unit vector • Upper and lower bounds • Vector Space
• ISBN-10: 1-4008-7757-1 / 1400877571
• ISBN-13: 978-1-4008-7757-7 / 9781400877577