Local Fields (London Mathematical Society Student Texts, Series Number 3)
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Local Fields (London Mathematical Society Student Texts, Series Num...
Book Details
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Publisher: Cambridge University Press
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Author: J. W. S. Cassels
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Language: English
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Edition: 1st
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ISBN: 9780521315258
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Pages: 376
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Cover: Paperback
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Dimensions: 8.8 x 6.0 x 1.0 inches
About The Book
The p-adic Numbers by J. W. S. Cassels provides a clear, accessible introduction to one of the most significant tools in algebraic number theory—the p-adic numbers. Introduced by Hensel over 70 years ago, p-adic numbers and other local fields have become integral in various areas of mathematics, yet their simplicity and effectiveness are not as widely recognized as they should be.
Based on postgraduate lectures at Cambridge, this book serves as a self-contained guide aimed at remedying this knowledge gap. It starts with a general introduction to local fields before focusing specifically on p-adic numbers and their application in number theory. The text explores algebraic number theory, Diophantine equations, and the analysis of p-adic variables, offering a solid foundation in these crucial areas.
At 376 pages, this book is perfect for undergraduates, graduate students, and anyone with a keen interest in number theory. Whether you're new to the subject or looking to deepen your understanding, The p-adic Numbers offers a comprehensive, approachable, and insightful introduction to this fascinating topic in mathematics.
