Download e-book for kindle: Lie Groups and Lie Algebras III: Structure of Lie Groups and by A.L. Onishchik, E.B. Vinberg, V. Minachin, V.V. Gorbatsevich

By A.L. Onishchik, E.B. Vinberg, V. Minachin, V.V. Gorbatsevich

ISBN-10: 3540546839

ISBN-13: 9783540546832

A accomplished and sleek account of the constitution and type of Lie teams and finite-dimensional Lie algebras, by way of the world over identified experts within the box. This Encyclopaedia quantity can be immensely worthy to graduate scholars in differential geometry, algebra and theoretical physics.

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Read e-book online Nonlinear Continua (Computational Fluid and Solid Mechanics) PDF

By Eduardo N. Dvorkin, Marcela B. Goldschmit

ISBN-10: 3540249850

ISBN-13: 9783540249856

ISBN-10: 3540292640

ISBN-13: 9783540292647

This ebook develops a contemporary presentation of Continuum Mechanics, orientated in the direction of numerical purposes within the fields of nonlinear research of solids, constructions and fluid mechanics. The kinematics of the continuum deformation, together with pull-back / push-forward ameliorations among assorted configurations, pressure and pressure measures, stability rules, constitutive relatives and variational rules are constructed utilizing common curvilinear coordinates. even if the mathematical presentation of different issues is sort of rigorous, an attempt is made to hyperlink formal advancements with engineering actual instinct.

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Get Geometric analysis of hyperbolic differential equations : an PDF

By S. Alinhac

ISBN-10: 0521128226

ISBN-13: 9780521128223

Its self-contained presentation and 'do-it-yourself' strategy make this the proper consultant for graduate scholars and researchers wishing to entry fresh literature within the box of nonlinear wave equations and normal relativity. It introduces all the key instruments and ideas from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and gives entire simple proofs. the writer additionally discusses functions to subject matters in nonlinear equations, together with null stipulations and balance of Minkowski house. No past wisdom of geometry or relativity is needed.

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Smooth Manifolds And Observables - download pdf or read online

By Jet Nestruev

ISBN-10: 1441930477

ISBN-13: 9781441930477

This ebook supplies an advent to fiber areas and differential operators on gentle manifolds. over the past twenty years, the authors built an algebraic method of the topic and so they clarify during this e-book why differential calculus on manifolds should be regarded as a side of commutative algebra. This new strategy relies at the primary suggestion of observable that is utilized by physicists and may extra the certainty of the maths underlying quantum box concept.

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Read e-book online Geometry of Harmonic Maps PDF

By Yuanlong Xin (auth.)

ISBN-10: 1461240840

ISBN-13: 9781461240846

ISBN-10: 1461286441

ISBN-13: 9781461286448

Harmonic maps are strategies to a average geometrical variational prob­ lem. This idea grew out of crucial notions in differential geometry, akin to geodesics, minimum surfaces and harmonic capabilities. Harmonic maps also are heavily regarding holomorphic maps in different complicated variables, to the speculation of stochastic techniques, to nonlinear box thought in theoretical physics, and to the speculation of liquid crystals in fabrics technological know-how. in past times thirty years this topic has been constructed commonly. The monograph is not at all meant to offer an entire description of the idea of harmonic maps. for instance, the ebook excludes a wide a part of the idea of harmonic maps from 2-dimensional domain names, the place the tools are fairly diversified from these mentioned the following. the 1st bankruptcy involves introductory fabric. numerous identical definitions of harmonic maps are defined, and engaging examples are awarded. numerous very important homes and formulation are derived. between them are Bochner-type formulation for the strength density and the second one varia­ tional formulation. This bankruptcy serves not just as a foundation for the later chapters, but in addition as a quick advent to the idea. bankruptcy 2 is dedicated to the conservation legislation of harmonic maps. Em­ phasis is put on purposes of conservation legislation to the mono tonicity formulation and Liouville-type theorems.

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Download e-book for iPad: Algebra, Geometry and Mathematical Physics: AGMP, Mulhouse, by Abdenacer Makhlouf, Eugen Paal, Sergei D. Silvestrov,

By Abdenacer Makhlouf, Eugen Paal, Sergei D. Silvestrov, Alexander Stolin

ISBN-10: 3642553605

ISBN-13: 9783642553608

ISBN-10: 3642553613

ISBN-13: 9783642553615

This publication collects the court cases of the Algebra, Geometry and Mathematical Physics convention, held on the college of Haute Alsace, France, October 2011. equipped within the 4 parts of algebra, geometry, dynamical symmetries and conservation legislation and mathematical physics and functions, the e-book covers deformation thought and quantization; Hom-algebras and n-ary algebraic constructions; Hopf algebra, integrable platforms and comparable math constructions; jet concept and Weil bundles; Lie idea and functions; non-commutative and Lie algebra and more.

The papers discover the interaction among learn in modern arithmetic and physics desirous about generalizations of the most buildings of Lie thought aimed toward quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative buildings, activities of teams and semi-groups, non-commutative dynamics, non-commutative geometry and functions in physics and beyond.

The booklet merits a wide viewers of researchers and complex students.

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Gui-Qiang G. Chen, Michael Grinfeld, R. J. Knops's Differential Geometry and Continuum Mechanics PDF

By Gui-Qiang G. Chen, Michael Grinfeld, R. J. Knops

ISBN-10: 3319185721

ISBN-13: 9783319185729

ISBN-10: 331918573X

ISBN-13: 9783319185736

This ebook examines the intriguing interface among differential geometry and continuum mechanics, now known as being of accelerating technological importance. subject matters mentioned comprise isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, using manifolds within the description of microstructure in continuum mechanics, experimental dimension of microstructure, defects, dislocations, floor energies, and nematic liquid crystals. Compensated compactness in partial differential equations can be treated.

The quantity is meant for experts and non-specialists in natural and utilized geometry, continuum mechanics, theoretical physics, fabrics and engineering sciences, and partial differential equations. it's going to even be of curiosity to postdoctoral scientists and complicated postgraduate learn students.

These complaints contain revised written models of the vast majority of papers provided via major specialists on the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers were peer reviewed.

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Nonpositive Curvature: Geometric and Analytic Aspects by Jürgen Jost PDF

By Jürgen Jost

ISBN-10: 3764357363

ISBN-13: 9783764357368

Discusses quite a few geometric and analytic points of non-positive curvature, beginning with Riemannian examples and stress theorems. Treats generalized notions of nonpositive curvature within the experience of Alexandrov and Busemann & the idea of harmonic maps with values in such areas. Paper.

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