Topology of Numbers by Allen Hatcher
Topology of Numbers - Table of Contents
- 0. A Preview
- 1. The Farey Diagram
- 2. Continued Fractions
- 3. Symmetries of the Farey Diagram
- 4. Quadratic Forms
- 5. Classification of Quadratic Forms
- 6. Representations by Quadratic Forms
- 7. The Class Group for Quadratic Forms
- 8. Quadratic Fields
What You Will Learn in Topology of Numbers
Topology of Numbers by Allen Hatcher is an innovative, open-access online textbook that bridges geometric topology with foundational number theory. Designed for undergraduate students and research mathematicians, this web edition functions as an engaging reference for topology of numbers problem solving practice.
The book systematically presents Farey diagrams, continued fractions, binary quadratic forms, quadratic fields, and modular groups using explicit topological trees and geometric figures. By replacing abstract algebra with concrete visual intuition, Hatcher enables readers to explore essential quadratic form geometric derivations seamlessly online.
Universally admired for its exquisite illustrations and geometric perspective, this online edition remains a groundbreaking contribution to modern mathematical exposition. Hatcher’s clear web presentation arms learners with vital visual tools necessary for mastering visual number theory principles.
Book Details & Specifications
Title:
Topology of Numbers by Allen Hatcher
Publisher:
AMS
Year:
2022
Pages:
361
Type:
PDF
Language:
English
ISBN-10 #:
1470456117
ISBN-13 #:
978-1470456115
License:
University Educational Resource
Amazon:
Amazon
About the Author: Allen Hatcher
The author Allen Hatcher
is Professor Emeritus of Mathematics at Cornell University, world-renowned for his classic textbook Algebraic Topology and his influential contributions to geometric topology.
Throughout his career at Cornell, Professor Hatcher has been celebrated for his intuitive, illustration-driven teaching style and freely accessible web resources, providing generations of mathematicians with authoritative geometric topology study guides.
Read or Downloadable Topology of Numbers
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