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The Geometrization Conjecture

This book gives a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces;

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Hamilton's Ricci Flow

solving the Poincare conjecture and Thurston's geometrization conjecture.;

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Lectures on the Ricci Flow

Poincare conjecture and Thurston's geometrization conjecture. This book gives a concise introduction to the subject with the hindsight;

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Polynomial Automorphisms and the Jacobian Conjecture

This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000. Many new;

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How to Prove The Collatz Conjecture

The first proof of the Collatz Conjecture.;

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Geometry and Topology of Manifolds

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincare;

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Beal's Conjecture

Beals Conjecture, with many new general methods, can solve many problems of the Diophantine Equation. I hope that: this book Beals;

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Dual Jet Geometrization for Time-Dependent Hamiltonians and Applications

the development of the distinguished geometrization on dual 1-jet spaces for time-dependent Hamiltonians, in contrast with the time;

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Volume Conjecture for Knots

The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the;

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Cambridge Tracts in Mathematics

This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra;

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Lie Theory and Its Applications in Physics

for physical systems.Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A;

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Dense Sphere Packings

The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar;

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The Computational and Theoretical Aspects of Elliptic Curves

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic;

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The Poincare Conjecture

The Poincare Conjecture tells the story behind one of the world's most confounding mathematical theories. Formulated in 1904 by Henri;

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The Novikov Conjecture

These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones;

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London Mathematical Society Lecture Note Series Novikov Conjectures, Index Theorems, and Rigidity

The Novikov Conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds;

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The Local Langlands Conjecture for GL(2)

The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research;

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First Conjecture on Nonelementary Functions

First Conjecture on Nonelementary Functions is een boek van Dharmendra Kumar Yadav;...

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Lagrangian and Hamiltonian geometries. Applications to Mechanics

; Analytical Mechanics of Lagrangian and Hamiltonian mechanical systems. The novelty consists of the following: a geometrization of the classical non;

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What's Happening in the Mathematical Sciences, Volume 9

(minimising area). Also in 2012, following up on the extraordinary proofs of the Poincare Conjecture and Thurston's Geometrization Conjecture;

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Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture

An account of one of the main directions of algebraic topology, this book focuses on the Sullivan conjecture and its generalizations and;

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Lie Theory and Its Applications in Physics

Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrization of the;

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London Mathematical Society Lecture Note Series

The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and;

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Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture

Ricci Flow, and the Poincare Conjecture introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat;

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Periods of Quaternionic Shimura Varieties. I.

of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have;

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The Science of Conjecture - Evidence and Probability before Pascal

How did we make reliable predictions before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law;

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Weil's Conjecture for Function Fields

A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms;

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