- #1

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what are some good books for learning the p-adic numbers? What are the necessary pre-requisites?

Do I need to know introductory number theory or basics of algebraic/analytic number theory?

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- Number Theory
- Thread starter bacte2013
- Start date

- #1

- 398

- 47

what are some good books for learning the p-adic numbers? What are the necessary pre-requisites?

Do I need to know introductory number theory or basics of algebraic/analytic number theory?

- #2

- 18,378

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- #3

- 328

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The most recommended book was "p-adic Numbers: An Introduction" by Fernando Gouvea. In the introduction, Gouvea states that "the pre-requisites for reading this book are a basic knowledge of algebra and number theory, and a few courses in calculus or analysis." He says the reader needs to know congruences, fields and rings, and the basic facts of point-set topology, continuity, and infinite series. From context, he probably means you need to know the basic topology and properties of continuity and infinite series one learns in an undergraduate analysis course.

- #4

Ssnow

Gold Member

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''p-adic numbers, an introduction'', Gouvea Fernando , Springer

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