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The Four-Color Theorem: History, Topological Foundations, and Idea of Proof

This book discusses a famous problem that helped to define the field now known as topology: What is the minimum number of colors required;

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Graphs on Surfaces

was best known by the famous four-color theorem stating that any map can be colored using only four colors such that no two bordering countries;

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Riemannian Manifolds

demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental;

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Introduction to Riemannian Manifolds

all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems;

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Introduction to Riemannian Manifolds

all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems;

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How to Label a Graph

illustrations. A new labeling with a connection to the four color theorem is described to aid mathematicians to initiate new methods and techniques to;

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The Pythagorean Theorem

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class;

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The Four-Color Theorem

of colors required to print a map such that no two adjoining countries have the same color, no matter how convoluted their boundaries. Many famous;

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Elliptic Operators, Topology, and Asymptotic Methods, Second Edition

Lefschetz formula and the full index theorem with four chapters of geometry, five chapters of analysis, and four chapters of topology. The topics;

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Elliptic Operators, Topology, and Asymptotic Methods

Lefschetz formula and the full index theorem with four chapters of geometry, five chapters of analysis, and four chapters of topology. The topics;

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The Pythagorean Theorem: A 4,000-Year History

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics, one remembered from high school geometry class;

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From Here To Infinity

the latest discoveries, including Andrew Wile's amazing proof of Fermat's Last Theorem, the newest advances in knot theory, the Four Colour;

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Mathematics

: Hilbert's tenth problem and the four-color theorem, Gaussian integers, chaotic dynamics and the Mandelbrot set, infinite numbers, and strange number;

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Earth's Magnetosphere

relations and the Lorentz transformation; Helmholtz' theorem, and Poynting's theorem, among other methods for understanding this interaction.

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Real and Complex Analysis

the Riemann mapping theorem, analytic continuation, monodromy theorem, prime number theorem, and Picard's little theorem. Further, it includes;

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Fermat's Last Theorem

This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem;

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Automated Deduction -- CADE-23

submissions. Furthermore, four invited lectures by distinguished experts in the area were included. Among the topics addressed are systems and tools;

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The Four Color Personalities

Learn the skill to quickly recognize the four personalities and how to use magic words to translate your message.;

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Mini-Scripts for the Four Color Personalities

As network marketing leaders, we want to move people to take positive actions. Using their own color language is how we will do it.;

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The Arrow Impossibility Theorem

Kenneth J. Arrow's pathbreaking impossibility theorem was a watershed innovation in the history of welfare economics, voting theory, and;

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Math and Art

mathematical theory, with complete proofs of the main results (including the classification theorem for similarities) Presents hundreds;

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Math and Art

complete proofs of the main results (including the classification theorem for similarities) Presents hundreds of figures, illustrations, computer;

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Time-Reversal Symmetry

levels and that magnetic groups of four-color symmetry are adequate for them. Further, it addresses the predicted structural distortions;

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Yellowstone Wild and Beautiful

Yellowstone National Park in all its four-season glory in full-color photography. 129 color photographs.;

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Absolute Measurable Spaces

, the Oxtoby-Ulam theorem on Lebesgue-like measures on the unit cube, and the extensions of this theorem to many other topological spaces;

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