Download e-book for iPad: Differential Geometry: The Mathematical Works of J. H. C. by I. M. James

By I. M. James

ISBN-10: 008009869X

ISBN-13: 9780080098692

The Mathematical Works of J. H. C. Whitehead, quantity 1: Differential Geometry includes all of Whitehead's released paintings on differential geometry, besides a few papers on algebras. each one of these have been written within the interval 1929-1937, yet a number of later articles are incorporated.
The ebook starts off with a listing of Whitehead's works, in chronological order of writing in addition to a biographical notice through M. H. A. Newman and Barbara Whitehead, and a mathematical appreciation via John Milnor. this can be by means of separate chapters on themes similar to linear connections; a style of acquiring basic representations for a projective connection; illustration of projective areas; convex areas within the geometry of paths; in the neighborhood homogeneous areas in differential geometry; and the decomposition of an infinitesimal crew. additionally integrated are chapters on in the community homogeneous areas in differential geometry; Maurer's equations; linear associative algebras; an expression of Hopf's invariant as an imperative; and normalizators of transformation groups.

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Read e-book online Algebraic Geometry and Commutative Algebra (Universitext) PDF

By Siegfried Bosch

ISBN-10: 1447148282

ISBN-13: 9781447148289

Algebraic geometry is an engaging department of arithmetic that mixes equipment from either, algebra and geometry. It transcends the restricted scope of natural algebra via geometric development rules. furthermore, Grothendieck’s schemes invented within the past due Fifties allowed the appliance of algebraic-geometric tools in fields that previously far-off from geometry, like algebraic quantity thought. the hot thoughts cleared the path to astounding development reminiscent of the facts of Fermat’s final Theorem by means of Wiles and Taylor.The scheme-theoretic method of algebraic geometry is defined for non-experts. extra complicated readers can use the e-book to expand their view at the topic. A separate half bargains with the required must haves from commutative algebra. On a complete, the e-book presents a truly obtainable and self-contained creation to algebraic geometry, as much as a particularly complex level.Every bankruptcy of the publication is preceded by way of a motivating advent with a casual dialogue of the contents. common examples and an abundance of routines illustrate each one part. this manner the publication is a superb answer for studying on your own or for complementing wisdom that's already current. it may possibly both be used as a handy resource for classes and seminars or as supplemental literature.

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Read e-book online Algebraic Cobordism (Springer Monographs in Mathematics) PDF

By Marc Levine,Fabien Morel

ISBN-10: 3540368221

ISBN-13: 9783540368229

ISBN-10: 3642071910

ISBN-13: 9783642071911

Following Quillen's method of complicated cobordism, the authors introduce the proposal of orientated cohomology concept at the type of gentle types over a hard and fast box. They end up the life of a common such thought (in attribute zero) known as Algebraic Cobordism. The e-book additionally comprises a few examples of computations and applications.

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Download PDF by Maurice Fréchet,Ky Fan,Howard W. Eves: Invitation to Combinatorial Topology (Dover Books on

By Maurice Fréchet,Ky Fan,Howard W. Eves

ISBN-10: 0486427862

ISBN-13: 9780486427867

An basic textual content that may be understood via someone with a heritage in highschool geometry, Invitation to Combinatorial Topology deals a stimulating initiation to big topological principles. This translation from the unique French does complete justice to the text's coherent presentation in addition to to its wealthy ancient content material. matters comprise the issues inherent to coloring maps, homeomorphism, purposes of Descartes' theorem, and topological polygons. issues of the topological type of closed surfaces conceal simple operations, use of ordinary types of polyhedra, aid to basic shape, and alertness to the geometric conception of services. 1967 variation. 108 figures. Bibliography. Index.

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Get Birational Geometry of Algebraic Varieties (Cambridge Tracts PDF

By Janos Kollár,Shigefumi Mori

ISBN-10: 0521060222

ISBN-13: 9780521060226

ISBN-10: 0521632773

ISBN-13: 9780521632775

one of many significant discoveries of the final 20 years of the 20th century in algebraic geometry is the conclusion that the idea of minimum versions of surfaces could be generalized to raised dimensional kinds. This generalization, referred to as the minimum version application or Mori's application, has constructed right into a strong software with functions to varied questions in algebraic geometry and past. This e-book offers the a complete advent to the circle of rules built round the application, the necessities being just a uncomplicated wisdom of algebraic geometry. it will likely be of serious curiosity to graduate scholars and researchers operating in algebraic geometry and similar fields.

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Download e-book for kindle: Transcendental Aspects of Algebraic Cycles: Proceedings of by S. Müller-Stach,C. Peters

By S. Müller-Stach,C. Peters

ISBN-10: 0521545471

ISBN-13: 9780521545471

it is a selection of lecture notes from the summer season institution 'Cycles Algébriques; facets Transcendents, Grenoble 2001'. the themes diversity from introductory lectures on algebraic cycles to extra complex fabric. The complex lectures are grouped less than 3 headings: Lawson (co)homology, factors and motivic cohomology and Hodge theoretic invariants of cycles. one of the subject matters taken care of are: cycle areas, Chow topology, morphic cohomology, Grothendieck explanations, Chow-Künneth decompositions of the diagonal, motivic cohomology through better Chow teams, the Hodge conjecture for yes fourfolds, a good model of Nori's connectivity theorem, Beilinson's Hodge and Tate conjecture for open entire intersections. because the lectures have been meant for non-specialists many examples were incorporated to demonstrate the idea. As such this ebook could be perfect for graduate scholars or researchers looking a contemporary advent to the state of the art idea during this subject.

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Thermodynamic Formalism and Applications to Dimension - download pdf or read online

By Luis Barreira

ISBN-10: 3034802056

ISBN-13: 9783034802055

ISBN-10: 3034803362

ISBN-13: 9783034803366

This self-contained monograph provides a unified exposition of the thermodynamic formalism and a few of its major extensions, with emphasis at the relation to size conception and multifractal research of dynamical structures. specifically, the ebook considers 3 various flavors of the thermodynamic formalism, particularly nonadditive, subadditive, and nearly additive, and offers a close dialogue of a few of the main major ends up in the world, a few of them particularly fresh. it is also a dialogue of the main massive functions of those flavors of the thermodynamic formalism to measurement concept and multifractal research of dynamical systems.

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Differential Manifolds (Dover Books on Mathematics) - download pdf or read online

By Antoni A. Kosinski

ISBN-10: 0124218504

ISBN-13: 9780124218505

ISBN-10: 0486462447

ISBN-13: 9780486462448

The recommendations of differential topology shape the guts of many mathematical disciplines resembling differential geometry and Lie crew thought. Differential Manifolds offers to complex undergraduates and graduate scholars the systematic research of the topological constitution of delicate manifolds. writer Antoni A. Kosinski, Professor Emeritus of arithmetic at Rutgers college, deals an available method of either the h-cobordism theorem and the class of differential buildings on spheres.
"How important it is," famous the Bulletin of the yankee Mathematical Society, "to have a unmarried, brief, well-written publication on differential topology." This quantity starts off with a close, self-contained evaluation of the principles of differential topology that calls for just a minimum wisdom of undemanding algebraic topology. next chapters clarify the means of becoming a member of manifolds alongside submanifolds, the deal with presentation theorem, and the evidence of the h-cobordism theorem in keeping with those structures. There follows a bankruptcy at the Pontriagin Construction—the primary hyperlink among differential topology and homotopy concept. the ultimate bankruptcy introduces the tactic of surgical procedure and applies it to the class of gentle constructions of spheres. The textual content is supplemented via quite a few attention-grabbing old notes and incorporates a new appendix, "The paintings of Grigory Perelman," via John W. Morgan, which discusses the newest advancements in differential topology.

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Get Deformations of Algebraic Schemes: 334 (Grundlehren der PDF

By Edoardo Sernesi

ISBN-10: 3540306080

ISBN-13: 9783540306085

ISBN-10: 3642067875

ISBN-13: 9783642067877

This account of deformation idea in classical algebraic geometry over an algebraically closed box offers for the 1st time a few effects formerly scattered within the literature, with proofs which are particularly little recognized, but appropriate to algebraic geometers. Many examples are supplied. many of the algebraic effects wanted are proved. the fashion of exposition is stored at a degree amenable to graduate scholars with a standard historical past in algebraic geometry.

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Metric Structures for Riemannian and Non-Riemannian Spaces by Mikhail Gromov,Jacques LaFontaine,Pierre Pansu,S. M. PDF

By Mikhail Gromov,Jacques LaFontaine,Pierre Pansu,S. M. Bates,M. Katz,P. Pansu,S. Semmes

ISBN-10: 0817638989

ISBN-13: 9780817638986

ISBN-10: 0817645829

ISBN-13: 9780817645823

This e-book is an English translation of the well-known "Green publication" through Lafontaine and Pansu (1979). it's been enriched and improved with new fabric to mirror fresh growth. also, 4 appendices, by way of Gromov on Levy's inequality, via Pansu on "quasiconvex" domain names, by way of Katz on systoles of Riemannian manifolds, and via Semmes overviewing research on metric areas with measures, in addition to an intensive bibliography and index around out this distinctive and gorgeous book.

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