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Arithmetic of Quadratic Forms
The aim of this book is to provide an introduction to quadratic forms that builds from basics up to the most recent results. Professor Kitaoka is well known for his work in this …
Arithmetic of Diagonal Hypersurfaces over Finite Fields
There is now a large body of theory concerning algebraic varieties over finite fields, and many conjectures exist in this area that are of great interest to researchers in number …
The Higher Arithmetic
The theory of numbers is generally considered to be the 'purest' branch of pure mathematics and demands exactness of thought and exposition from its devotees. It is also one of the …
Arithmetic of Blowup Algebras
This book provides an introduction to recent developments in the theory of blow up algebras - Rees algebras, associated graded rings, Hilbert functions, and birational morphisms. …
Arithmetic
First published in 1927, as the second edition of a 1915 original, this book presents exercises in arithmetic aimed at school students. The text is divided into three main …
Galois Representations in Arithmetic Algebraic Geometry
This book contains conference proceedings from the 1996 Durham Symposium on ‘Galois representations in arithmetic algebraic geometry’. The title was interpreted loosely and the …
Conversations on Arithmetic
In this 1835 work, Sarah Porter, née Ricardo (1790–1862) shows her enthusiasm for arithmetic, and her concern for teaching it in a way that will develop the pupil's mind: 'There is …
Subsystems of Second Order Arithmetic
Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics? Through a series of case …
L-Functions and Arithmetic
This volume is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of several short courses, aimed at presenting rigorous but …
Arithmetic Differential Operators over the p-adic Integers
The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of …