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Algebraic Number Theory

This volume focuses on algebraic number theory. It begins with an introduction to algebraic numbers and algebraic integers, followed by ideals, ramification theory, ideal class groups and units, p-adic numbers and valuation, before ending with p-adic fields. Learn about these algebraic theories through guided proofs, examples and detailed step-by-step explanations....

Keywords:: Algebraic Integers, NTU Singapore, Fractional Ideals, Archimedean Places, Hensel’s Lemmas, Ramification Theory, The Chinese Theorem, Non-archimedean Places, ASEAN University Network, Dirichlet Units Theorem, Ideal Class Group, AUN, Algebra, Number Theory, Algebraic Numbers, Valuations, Ideals, p-adic

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Mathematics and Statistics / Mathematics / Algebra and Number Theory / Number Theory

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Material Type:: Open (Access) Textbook
Date Added to MERLOT:: November 28, 2025
Date Modified in MERLOT:: December 2, 2025
Author:: Frederique Oggier, Nanyang Technological University, Singapore
Submitter:: Charlotte Choo
Primary Audience:: College General Ed, College Lower Division, College Upper Division
Technical Format:: PDF, Website

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: Unknown
Creative Commons:: This work is licensed under a Attribution-NonCommercial-NoDerivatives 4.0 International

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Algebraic Number Theory

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