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How to Prove The Collatz Conjecture

The first proof of the Collatz Conjecture.;

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Fermat Equation over several fields and other historical mathematical conjectures

possible simple proofs to complex mathematical problems. This book contains the results of these investigations, referring to Fermat's last theorem;

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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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An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants

difficulty in the $mathrm{SO(3)}$-monopole program relating the Seiberg-Witten and Donaldson invariants has been to compute intersection pairings on;

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The Science of Conjecture - Evidence and Probability before Pascal

theories; and how merchants counted shipwrecks to determine insurance rates. The Science of Conjecture provides a history of rational methods;

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Volume Conjecture for Knots

out to be a conjecture that relates an algebraic object, the colored Jones polynomial, with a geometric object, the volume. In this book we;

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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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Geometry and Topology of Manifolds

to approach such problems and obtain the required techniques, it is of the utmost importance to provide them with up-to-date information from;

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

kernel estimates to study Ricci flows, especially with surgeries. The author explains key ideas, difficult proofs, and important applications;

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A Local Relative Trace Formula for the Ginzburg-Rallis Model

is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author;

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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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Dense Sphere Packings

pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a;

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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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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

Poincare, his Conjecture promised to describe the very shape of the universe, but remained unproved until a huge prize was offered for its solution;

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Exploring Geometry

. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between;

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Exploring Geometry

. Exploratory projects play an integral role in this text. Students develop a better sense of how to prove a result and visualize connections between;

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Hoelder Continuous Euler Flows in Three Dimensions with Compact Support in Time

Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the;

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Hoelder Continuous Euler Flows in Three Dimensions with Compact Support in Time

Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the;

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

the subject of 'Novikov Conjectures, Index Theorems and Rigidity'. They are intended to give a snapshot of the status of work on the Novikov;

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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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London Mathematical Society Lecture Note Series

conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these;

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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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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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An Introduction to Symmetric Functions and Their Combinatorics

product; Cauchy's formula; the RSK correspondence and how to implement it with both insertion and growth diagrams; the Pieri rules; the Murnaghan;

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Euler Systems. (AM-147), Volume 147

systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s;

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Darwin's Conjecture

increasingly of interest to social scientists as well. But no one has provided a truly rigorous account of how the principles apply to the evolution;

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