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burger e exploring number jungle journey diophantine analysis 2000

Type:: E-books
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Size:: 5.3 MB
Uploaded On:: Feb. 13, 2023, 4:13 p.m.
Added By:: andryold1
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Info Hash:: D2D1EE4A8A8834CD196CB4B83547CCC89C32E08F

Textbook in PDF format Welcome to diophantine analysis-an area of number theory in which we attempt to discover hidden treasures and truths within the jungle of numbers by exploring rational numbers. Diophantine analysis comprises two different but interconnected domains-diophantine approximation and diophantine equations. This highly readable book brings to life the fundamental ideas and theorems from diophantine approximation, geometry of numbers, diophantine geometry and $p$-adic analysis. Through an engaging style, readers participate in a journey through these areas of number theory. Each mathematical theme is presented in a self-contained manner and is motivated by very basic notions. The reader becomes an active participant in the explorations, as each module includes a sequence of numbered questions to be answered and statements to be verified. Many hints and remarks are provided to be freely used and enjoyed. Each module then closes with a Big Picture Question that invites the reader to step back from all the technical details and take a panoramic view of how the ideas at hand fit into the larger mathematical landscape. This book enlists the reader to build intuition, develop ideas and prove results in a very user-friendly and enjoyable environment

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Burger E. Exploring the Number Jungle. A Journey into Diophantine Analysis 2000.pdf 5.3 MB

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burger e exploring number jungle journey diophantine analysis 2000

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