• Title Number Theory and Geometry: An Introduction to Arithmetic Geometry
• Author(s) Alvaro Lozano-robledo
• Publisher: American Mathematical Society (March 21, 2019); eBook (Preliminary Version)
• Permission: This preliminary version is made available with the permission of AMS and may not be changed, edited or reposted at any other website without explicit written permission from the author and the AMS.
• Hardcover/Paperback 488 pages
• eBook PDF (501 pages)
• Language: English
• ISBN-10: 147045016X
• ISBN-13: 978-1470450168
• Share This:  

Book Description

Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. This book is an introduction to number theory and Arithmetic Geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book.

• Álvaro Lozano-Robledo: University of Connecticut, Storrs, CT.

• Amazon

• Number Theory
• Geometry
• Algebra, Abstract Algebra, and Linear Algebra
• Elementry and High School Mathematics

• Number Theory and Geometry: An Introduction to Arithmetic Geometry (Alvaro Lozano-robledo)

• Topology of Numbers (Allen Hatcher)

  A textbook on elementary number theory from a geometric point of view, as opposed to the usual strictly algebraic approach. A fair amount of the book is devoted to studying Conway's topographs associated to quadratic forms in two variables.

• An Introduction to Number Theory (J. J. P. Veerman)

  Unlock the mysteries of integers and their properties with this comprehensive guide to the fascinating world of number theory. It offers a meticulous exploration of the core concepts and advanced topics within number theory.

• Number Fields (Frans Keune)

  This is a textbook for Algebraic Number Theory, focuses on the abstract theory and contains many examples and exercises. It is self-contained in the sense that it uses only mathematics of a bachelor level, including some Galois theory.

• Number Theory: In Context and Interactive (Karl-Dieter Crisman)

  This is a textbook for an upper-level number theory course, with a clear vision to expose students to the connections to all areas of mathematics, and nearly every concept can be visualized or experimented with using the mathematics software SageMath.

• Elementary Number Theory: Primes, Congruences, and Secrets

  This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. Many numerical examples are given throughout the book using the SageMath mathematical software.

• Topology: A Categorical Approach (Tai-Danae Bradley, et al)

  A graduate-level textbook that presents basic topology from the perspective of category theory. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them.

• Introduction to Topology (Bert Mendelson, et al.)

  This concise book offers an ideal introduction to the fundamentals of topology. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.

• Elementary Topology: Problem Textbook (O.Ya.Viro, et al.)

  This textbook on elementary topology contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space.

• Topology for the Working Mathematician (Michael Muger)

  Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis. Written with the mathematician, this book provides a user-friendly, clear, and concise introduction to this fascinating area of mathematics.

• Introduction to Topology (Renzo Cavalieri)

  This introductory topology book requires only a knowledge of calculus and a general familiarity with set theory and logic. Clear organization, worked examples, and concise writing style support a thorough understanding of basic topological principles.