Analysis, manifolds and physics
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Review of fundamental notions of analysis. Differential calculus on Banach spaces. Differentiable manifolds, finite dimensional case. Integration on manifolds. Riemannian manifolds. V bis.
Connections on a principle fibre bundle. Differentiable manifolds, infinite dimensional case. This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections.
Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over entries.
Ebook Analysis Manifolds And Physics Part Ii
This book belongs on the shelf of every mathematically inclined physicist and every mathematician who is interested in physics I can wholeheartedly recommend it to anyone who aspires to participate in the exciting developments in modern elementary particle physics and relativity. The lowest-priced brand-new, unused, unopened, undamaged item in its original packaging where packaging is applicable. Packaging should be the same as what is found in a retail store, unless the item is handmade or was packaged by the manufacturer in non-retail packaging, such as an unprinted box or plastic bag.
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See details. Be the first to write a review About this product. About this product Product Information This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. Homomorphisms and antihomomorphisms of a Lie algebra into spaces of vector fields. Homogeneous spaces symmetric spaces. Examples of homogeneous spaces Stiefel and Grass man n manifolds. Abelian representations of nonabelian groups. Differentiable Manifolds Finite Dimensional Case.
Lie algebras of linear groups. B Vector Fields Tensor Fields. Obstruction to the construction of Spin and Pin bun dles StiefelWhitney classes. Groups of Transformations. Inequivalent spin structures. Cohomology of groups. Lifting a group action.
Short exact sequence Weyl Heisenberg group. Cohomology of Lie algebras. Quasilinear firstorder partial differential equation. Exterior differential systems contributed by B Kent Harrison. The strain tensor. Backlund transformations for evolution equations con tributed by N H Ibragimov. Poisson manifolds I. Global properties. Characteristic system.
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Conformal transformation of nonlinear wave equations. Masses of nomothetic spacetime.
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Invariant geometries on the squashed seven spheres. Composition of maps. Riemannian Manifolds Kahlerian Manifolds. KaluzaKlein theories. Kahler manifolds CalabiYau spaces.
B Linear Connections. Gauge transformations.
Hopf fibering S3S2. Subbundles and reducible bundles. Broken symmetry and bundle reduction Higgs mech anism. The EulerPoincare characteristic. Geodesies on a proper riemannian manifold. Equivalent bundles.