Category: Geometry

Download E-books Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of Mathematics and its Applications) PDF

By Rolf Schneider

On the center of this monograph is the Brunn-Minkowski concept, which are used to nice impact in learning such principles as quantity and floor quarter and their generalizations. specifically, the notions of combined quantity and combined sector degree come up certainly and the basic inequalities which are chuffed through combined volumes are thought of right here intimately. the writer offers a accomplished advent to convex our bodies, together with complete proofs for a few deeper theorems. The e-book presents tricks and tips that could connections with different fields and an exhaustive reference record. This moment version has been significantly multiplied to mirror the fast advancements of the prior 20 years. It contains new chapters on valuations on convex our bodies, on extensions just like the Lp Brunn-Minkowski conception, and on affine structures and inequalities. There also are many supplementations and updates to the unique chapters, and a considerable enlargement of bankruptcy notes and references.

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Download E-books Latent Variable and Latent Structure Models (Quantitative Methodology Series) PDF

This edited quantity positive aspects state-of-the-art subject matters from the best researchers within the components of latent variable modeling. content material highlights contain insurance of methods facing lacking values, semi-parametric estimation, powerful research, hierarchical info, issue ratings, multi-group research, and version checking out. New methodological issues are illustrated with actual purposes. the cloth provided brings jointly traditions: psychometrics and structural equation modeling. Latent Variable and Latent constitution Models' thought-provoking chapters from the major researchers within the region can assist to stimulate rules for additional learn for a few years to return.

This quantity could be of curiosity to researchers and practitioners from a wide selection of disciplines, together with biology, company, economics, schooling, drugs, psychology, sociology, and different social and behavioral sciences. A operating wisdom of easy multivariate data and size conception is assumed.

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Download E-books Fibonacci's De Practica Geometrie (Sources and Studies in the History of Mathematics and Physical Sciences) PDF

Leonardo da Pisa, possibly higher often called Fibonacci (ca. 1170 – ca. 1240), chosen the main precious elements of Greco-Arabic geometry for the e-book referred to as De Practica Geometrie. This translation bargains a reconstruction of De Practica Geometrie because the writer judges Fibonacci wrote it, thereby correcting inaccuracies present in a number of glossy histories. it's a top of the range translation with supplemental textual content to give an explanation for textual content that has been extra freely translated. A bibliography of basic and secondary assets follows the interpretation, accomplished by way of an index of names and distinctive words.

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Download E-books Global Analysis in Mathematical Physics. : Geometric and Scholastic Methods PDF

By Yuri Gliklikh

The 1st version of this ebook entitled research on Riemannian Manifolds and a few difficulties of Mathematical Physics was once released by way of Voronezh Univer­ sity Press in 1989. For its English version, the ebook has been considerably revised and accelerated. particularly, new fabric has been extra to Sections 19 and 20. i'm thankful to Viktor L. Ginzburg for his exertions at the transla­ tion and for writing Appendix F, and to Tomasz Zastawniak for his quite a few feedback. My precise thank you visit the referee for his useful feedback at the thought of stochastic tactics. eventually, i need to recognize the help of the AMS fSU reduction Fund and the foreign technological know-how starting place (Grant NZBOOO), which made attainable my paintings on a few of the new effects integrated within the English variation of the booklet. Voronezh, Russia Yuri Gliklikh September, 1995 Preface to the Russian version the current e-book is outwardly the 1st in monographic literature during which a standard therapy is given to 3 parts of world research formerly consid­ ered relatively far away from one another, particularly, differential geometry and classical mechanics, stochastic differential geometry and statistical and quantum me­ chanics, and infinite-dimensional differential geometry of teams of diffeomor­ phisms and hydrodynamics. The unification of those themes lower than the canopy of 1 publication seems, even if, really typical, because the exposition relies on a geometrically invariant type of the Newton equation and its analogs taken as a basic legislations of movement.

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Download E-books Algebraic geometry 05 Fano varieties PDF

By A.N. Parshin (editor), I.R. Shafarevich (editor), Yu.G. Prokhorov, Yu.G. Prokhorov, S. Tregub, V.A. Iskovskikh

This EMS quantity offers an exposition of the constitution idea of Fano forms, i.e. algebraic types with an plentiful anticanonical divisor. This booklet could be very priceless as a reference and examine consultant for researchers and graduate scholars in algebraic geometry.

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Download E-books The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds (London Mathematical Society Student Texts) PDF

By Steven Rosenberg

This article on research on Riemannian manifolds is a radical advent to themes coated in complicated examine monographs on Atiyah-Singer index idea. the most topic is the examine of warmth move linked to the Laplacians on differential types. this offers a unified therapy of Hodge conception and the supersymmetric evidence of the Chern-Gauss-Bonnet theorem. particularly, there's a cautious remedy of the warmth kernel for the Laplacian on capabilities. the writer develops the Atiyah-Singer index theorem and its functions (without whole proofs) through the warmth equation procedure. Rosenberg additionally treats zeta services for Laplacians and analytic torsion, and lays out the lately exposed relation among index concept and analytic torsion. The textual content is geared toward scholars who've had a primary path in differentiable manifolds, and the writer develops the Riemannian geometry used from the start. There are over a hundred workouts with tricks.

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Download E-books Analytic Geometry (7th Edition) PDF

By Dalton Tarwater

Tailored for a primary direction within the research of analytic geometry, the textual content emphasizes the basic parts of the topic and stresses the techniques wanted in calculus. This new version used to be revised to provide the topic in a contemporary, up-to-date demeanour. colour is used to focus on thoughts. expertise is built-in with the textual content, with references to the Calculus Explorer and assistance for utilizing graphing calculators. numerous new subject matters, together with curve becoming related to mathematical modeling have been extra. workouts have been up to date. New and sundry purposes from drugs to navigation to public health and wellbeing have been added.

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Download E-books Singular Semi-Riemannian Geometry (Mathematics and Its Applications) by Demir N. Kupeli (2010-12-06) PDF

By Demir N. Kupeli

This e-book is an exposition of "Singular Semi-Riemannian Geometry"- the examine of a tender manifold offered with a degenerate (singular) metric tensor of arbitrary signature. the most subject of curiosity is these instances the place the metric tensor is believed to be nondegenerate. within the literature, manifolds with degenerate metric tensors were studied extrinsically as degenerate submanifolds of semi­ Riemannian manifolds. One significant element of this ebook is first to review the intrinsic constitution of a manifold with a degenerate metric tensor after which to review it extrinsically via contemplating it as a degenerate submanifold of a semi-Riemannian manifold. This ebook is split into 3 elements. half I bargains with singular semi­ Riemannian manifolds in 4 chapters. In bankruptcy I, the linear algebra of indefinite actual internal product areas is reviewed. ordinarily, homes of yes geometric tensor fields are bought basically from the algebraic perspective with no relating their geometric beginning. bankruptcy II is dedicated to a evaluate of covariant by-product operators in genuine vector bundles. bankruptcy III is the most a part of this e-book the place, intrinsically, the Koszul connection is brought and its curvature identities are got. In bankruptcy IV, an software of bankruptcy III is made to degenerate submanifolds of semi-Riemannian manifolds and Gauss, Codazzi and Ricci equations are acquired. half II offers with singular Kahler manifolds in 4 chapters parallel to half I.

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Download E-books Low-Dimensional Geometry (Student Mathematical Library: IAS/Park City Mathematical Subseries) PDF

By Francis Bonahon

The learn of third-dimensional areas brings jointly parts from a number of parts of arithmetic. the main striking are topology and geometry, yet components of quantity concept and research additionally make appearances. long ago 30 years, there were notable advancements within the arithmetic of three-dimensional manifolds. This e-book goals to introduce undergraduate scholars to a couple of those vital advancements. Low-Dimensional Geometry starts off at a comparatively straight forward point, and its early chapters can be utilized as a quick advent to hyperbolic geometry. although, the last word aim is to explain the very lately accomplished geometrization application for three-d manifolds. the adventure to arrive this objective emphasizes examples and urban buildings as an creation to extra basic statements. This contains the tessellations linked to the method of gluing jointly the perimeters of a polygon. Bending a few of these tessellations offers a normal creation to three-d hyperbolic geometry and to the speculation of kleinian teams, and it will definitely results in a dialogue of the geometrization theorems for knot enhances and third-dimensional manifolds. This e-book is illustrated with many photos, because the writer meant to proportion his personal enthusiasm for the wonderful thing about a number of the mathematical gadgets concerned. notwithstanding, it additionally emphasizes mathematical rigor and, except for the newest learn breakthroughs, its structures and statements are rigorously justified.

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