Normal Forms and Bifurcation of Planar Vector Fields by Shui-Nee Chow PDF

By Shui-Nee Chow

ISBN-10: 0521102235

ISBN-13: 9780521102230

This e-book is especially concerned about the bifurcation idea of ODEs. Chapters 1 and a couple of of the publication introduce systematic tools of simplifying equations: middle manifold thought and general shape concept, through which one may possibly decrease the size of equations and alter different types of equations to be so simple as attainable. Chapters 3-5 of the publication learn in substantial element the bifurcation of these one or dimensional equations with one, or a number of parameters.

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Download e-book for iPad: Origami Polyhedra Design by John Montroll

By John Montroll

ISBN-10: 143987106X

ISBN-13: 9781439871065

ISBN-10: 1568814585

ISBN-13: 9781568814582

This ebook unravels the secret of Geometry in Origami with a different method: sixty four Polyhedra designs, every one made up of a unmarried sq. sheet of paper, no cuts, no glue; every one polyhedron the biggest attainable from the beginning measurement of sq. and every having an inventive locking mechanism to carry its form.

the writer covers the 5 Platonic solids (cube, tetrahedron, octahedron, icosahedron and dodecahedron). There are plentiful adaptations with diversified colour styles and sunken facets. Dipyramids and Dimpled Dipyramids, unexplored earlier than this in Origami, also are lined. There are a complete of sixty four types within the booklet. all of the designs have a fascinating glance and a delightful folding series and are in line with certain mathematical equations

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Get Quelques Questions D'algèbre Géométrie Et Probabilités PDF

By Louis Magnin

ISBN-10: 2729811079

ISBN-13: 9782729811075

Algèbre, géométrie usuelle, calcul des probabilités : trois piliers de l'édifice des mathématiques, qui devraient faire partie du bagage de tout futur enseignant scientifique, comme du citoyen.Ce livre, élaboré à partir d'un cours de los angeles Licence Pluridisciplinaire de Sciences et Technologie de l'université de Bourgogne, s'adresse à des étudiants de moment cycle, qui ne voudraient pas suivre un cycle spécialisé en mathématiques, mais désireraient acquérir une formation générale en mathématiques sur ces sujets, afin de pouvoir préparer des concours ouverts aux titulaires d'une Licence : concours administratifs de l. a. catégorie A, concours de recrutement d'enseignants tels que CERPE (concours externe de recrutement des Professeurs des Écoles) ou CAPLP2 (Certificat d'aptitude au Professorat des lycées professionnels)...Les prérequis sont très limités ; le texte est available aux étudiants ayant suivi un DEUG, un DUT ou même un BTS. Pour autant, il ne néglige pas l. a. rigueur mathématique tout en restant dans le cadre fixé.Chaque chapitre est suivi d'exercices, dont los angeles plupart avec des symptoms formant un véritable corrigé.**

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Download PDF by Günter Harder: Lectures on Algebraic Geometry I, 2nd Edition: Sheaves,

By Günter Harder

ISBN-10: 3834818445

ISBN-13: 9783834818447

This e-book and the next moment quantity is an advent into glossy algebraic geometry. within the first quantity the equipment of homological algebra, idea of sheaves, and sheaf cohomology are built. those equipment are crucial for contemporary algebraic geometry, yet also they are primary for different branches of arithmetic and of serious curiosity of their personal. within the final bankruptcy of quantity I those options are utilized to the speculation of compact Riemann surfaces. during this bankruptcy the writer makes transparent how influential the tips of Abel, Riemann and Jacobi have been and that a number of the glossy equipment were expected by means of them. For this moment version the textual content was once thoroughly revised and corrected. the writer additionally further a quick part on moduli of elliptic curves with N-level buildings. This new paragraph anticipates a number of the concepts of quantity II.

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Regulators in Analysis, Geometry and Number Theory - download pdf or read online

By Don Blasius, Jonathan Rogawski (auth.), Alexander Reznikov, Norbert Schappacher (eds.)

ISBN-10: 1461213142

ISBN-13: 9781461213147

ISBN-10: 1461270898

ISBN-13: 9781461270898

This booklet is an outgrowth of the Workshop on "Regulators in research, Geom­ etry and quantity idea" held on the Edmund Landau middle for examine in Mathematical research of The Hebrew college of Jerusalem in 1996. in the course of the coaching and the conserving of the workshop we have been tremendously helped through the director of the Landau heart: Lior Tsafriri through the time of the making plans of the convention, and Hershel Farkas through the assembly itself. Organizing and operating this workshop used to be a real excitement, due to the professional technical aid supplied by way of the Landau heart usually, and through its secretary Simcha Kojman particularly. we want to specific our hearty because of them all. despite the fact that, the articles assembled within the current quantity don't signify the court cases of this workshop; neither may possibly all members to the booklet make it to the assembly, nor do the contributions herein unavoidably replicate talks given in Jerusalem. within the creation, we define our view of the idea to which this quantity intends to give a contribution. The an important aim of the current quantity is to assemble options, tools, and effects from research, differential in addition to algebraic geometry, and quantity idea on the way to paintings in the direction of a deeper and extra entire knowing of regulators and secondary invariants. Our thank you visit all of the members of the workshop and authors of this quantity. might the readers of this publication get pleasure from and make the most of the mix of mathematical rules right here documented.

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Reconstructive Integral Geometry by Victor Palamodov PDF

By Victor Palamodov

ISBN-10: 3034879415

ISBN-13: 9783034879415

ISBN-10: 3034896298

ISBN-13: 9783034896290

One hundred years in the past (1904) Hermann Minkowski [58] posed an issue: to re­ 2 build an excellent functionality I at the sphere eight from wisdom of the integrals MI (C) = fc Ids over enormous circles C. Paul Funk came across an particular reconstruction formulation for I from facts of huge circle integrals. Johann Radon studied an identical challenge for the ecu­ clidean airplane and house. The curiosity in reconstruction difficulties like Minkowski­ Funk's and Radon's has grown vastly within the final 4 a long time, encouraged by means of the spectrum of recent modalities of photo reconstruction. those are X-ray, MRI, gamma and positron radiography, ultrasound, seismic tomography, electron mi­ croscopy, man made radar imaging and others. The actual rules of those tools are very assorted, despite the fact that their mathematical types and answer meth­ ods have greatly in universal. The umbrella identify reconstructive imperative geom­ etryl is used to specify the range of those difficulties and techniques. the target of this e-book is to provide in a uniform means the scope of good­ recognized and up to date effects and strategies within the reconstructive quintessential geometry. we don't contact right here the issues coming up in model of analytic tips on how to numerical reconstruction algorithms. We seek advice from the books [61], [62] that are occupied with those difficulties. numerous elements of interaction of essential geometry and differential equations are mentioned in Chapters 7 and eight. the implications provided listed below are partly new.

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Peter Semrl's The optimal version of Hua's fundamental theorem of geometry PDF

By Peter Semrl

ISBN-10: 0821898450

ISBN-13: 9780821898451

Hua's basic theorem of geometry of matrices describes the final kind of bijective maps at the area of all m�n matrices over a department ring D which safeguard adjacency in either instructions. influenced through numerous purposes the writer reports a protracted status open challenge of attainable advancements. There are 3 average questions. will we exchange the idea of protecting adjacency in either instructions by way of the weaker assumption of protecting adjacency in a single course in simple terms and nonetheless get a similar end? do we chill out the bijectivity assumption? do we receive a similar outcome for maps appearing among the areas of oblong matrices of other sizes? A department ring is related to be EAS whether it is now not isomorphic to any right subring. For matrices over EAS department earrings the writer solves all 3 difficulties concurrently, hence acquiring the optimum model of Hua's theorem. when it comes to common department jewelry he will get such an optimum end result just for sq. matrices and provides examples exhibiting that it can't be prolonged to the non-square case

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