The Poincare Conjecture

The Poincare Conjecture PDF Author: James Carlson
Publisher: American Mathematical Soc.
ISBN: 0821898655
Category : Mathematics
Languages : en
Pages : 185

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Book Description
The conference to celebrate the resolution of the Poincare conjecture, which is one of the Clay Mathematics Institute's seven Millennium Prize Problems, was held at the Institut Henri Poincare in Paris. Several leading mathematicians gave lectures providing an overview of the conjecture--its history, its influence on the development of mathematics, and, finally, its proof. This volume contains papers based on the lectures at that conference. Taken together, they form an extraordinary record of the work that went into the solution of one of the great problems of mathematics.

La conjetura de Poincaré

La conjetura de Poincaré PDF Author: Donal O'Shea
Publisher: Tusquets Editores, S.A.
ISBN: 9788483830932
Category : Mathematics
Languages : es
Pages : 0

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Book Description
El matemático francés Henri Poincaré (1854–1912) no sólo realizó aportaciones decisivas en el campo de la topología –la ciencia que estudia las propiedades de las formas geométricas–, sino que, además, legó a la posteridad uno de los problemas matemáticos más fascinantes de todos los tiempos, pues su respuesta puede contribuir a explicar la forma del universo. Desde 1904, lo que se conoce como «conjetura de Poincaré» ha desafiado a varias generaciones de investigadores, que han tratado infructuosamente de resolverla o refutarla. Con grandes dotes divulgativas, Donal O’Shea describe la trayectoria del saber geométrico desde los comienzos en Babilonia y Grecia hasta el presente, cuenta las vicisitudes de personalidades geniales como Euclides, Gauss o Riemann, y, sobre todo, relata el apasionante colofón de este enigma matemático: en efecto, en 2000, el Clay Mathematics Institute declaró la conjetura como uno de los siete problemas fundamentales irresueltos del milenio, y ofreció un millón de dólares de premio a quien lo solucionase. En 2003, el matemático ruso Grigory Perelmann –poco amante de la fama y que en 2006 se permitió rechazar la Medalla Fields, el Nobel de las matemáticas– asombró a la comunidad científica colgando en Internet una serie de artículos que parecían solucionar, finalmente, la conjetura. Un libro sorprendente sobre una auténtica odisea intelectual.

The Poincare Conjecture

The Poincare Conjecture PDF Author: James Carlson
Publisher: American Mathematical Soc.
ISBN: 0821898655
Category : Mathematics
Languages : en
Pages : 185

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Book Description
The conference to celebrate the resolution of the Poincare conjecture, which is one of the Clay Mathematics Institute's seven Millennium Prize Problems, was held at the Institut Henri Poincare in Paris. Several leading mathematicians gave lectures providing an overview of the conjecture--its history, its influence on the development of mathematics, and, finally, its proof. This volume contains papers based on the lectures at that conference. Taken together, they form an extraordinary record of the work that went into the solution of one of the great problems of mathematics.

Quantification, Definiteness, and Nominalization

Quantification, Definiteness, and Nominalization PDF Author: Anastasia Giannakidou
Publisher: Oxford University Press
ISBN: 0199541086
Category : Language Arts & Disciplines
Languages : en
Pages : 431

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Book Description
This book addresses recent developments in the study of quantifier phrases, nominalizations, and the linking definite determiner. It reflects the intense reconsideration of the nature of quantification, and of fundamental aspects of the syntax and semantics of quantifier phrases. Leading international scholars explore novel and challenging ideas at the interfaces between syntax and morphology, syntax and semantics, morphology and the lexicon. They examine core issues in the field, such as kind reference, number marking, partitivity, context dependence and the way presuppositions are built into the meanings of quantifiers. They also consider how in this context definiteness and the definite determiner D play a central role, and the way in which D is also instrumental in nominalizations. With nominalization, the lexical semantic contribution of verbs and their arguments becomes central, and within the perspective of this book the question is asked whether syntactic nominalizations share with noun phrases the same external layer, namely the functional projection DP. If so, what exactly is the contribution of D in this case, and how much of the lexical correspondence between nouns and verbs is preserved? This book presents the latest thinking on cross-paradigm and cross-linguistic approaches in three of the most vibrant and productive research areas in linguistics. It paves the way towards a more comprehensive understanding of how quantification, definiteness, and nominalizations are encoded in the grammar.

Knots, Groups and 3-Manifolds (AM-84), Volume 84

Knots, Groups and 3-Manifolds (AM-84), Volume 84 PDF Author: Lee Paul Neuwirth
Publisher: Princeton University Press
ISBN: 140088151X
Category : Mathematics
Languages : en
Pages : 346

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Book Description
There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.

Combinatorial Methods in Topology and Algebraic Geometry

Combinatorial Methods in Topology and Algebraic Geometry PDF Author: John R. Harper
Publisher: American Mathematical Soc.
ISBN: 9780821850398
Category : Mathematics
Languages : en
Pages : 372

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Book Description
A survey of the areas where combinatorial methods have proven especially fruitful: topology and combinatorial group theory, knot theory, 3-manifolds, homotopy theory and infinite dimensional topology, and four manifolds and algebraic surfaces.

A Complete Proof of the Poincaré and Geometrization Conjectures

A Complete Proof of the Poincaré and Geometrization Conjectures PDF Author: Huai-Dong Cao
Publisher:
ISBN: 9781571461599
Category :
Languages : en
Pages : 2

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Book Description


Knot Theory

Knot Theory PDF Author: J. C. Hausmann
Publisher: Springer
ISBN: 354035705X
Category : Mathematics
Languages : en
Pages : 321

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Book Description
Dedicated to the Memory of Christos Demetriou Papakyriakopoulos, 1914-1976

PERIODISTAS SIN MIEDO VII

PERIODISTAS SIN MIEDO VII PDF Author: NORMA ESTELA FERREYRA
Publisher: Lulu.com
ISBN: 1291974881
Category : Reference
Languages : en
Pages : 104

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Book Description
Es una versión diferente, una contra historia de los hechos de la realidad internacional, vista por periodistas muy bien conceptuados en su trabajo profesional, en contraposición a los medios hegemónicos, sobre diversos temas.

Canadian Journal of Mathematics

Canadian Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 228

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Book Description


Annals of Mathematics Studies

Annals of Mathematics Studies PDF Author: Lee Paul Neuwirth
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 360

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Book Description