Number theory

Number Systems: A Path into Rigorous Mathematics aims to introduce number systems to an undergraduate audience in a way that emphasises the importance of rigour, and with a focus on providing detailed but accessible explanations of theorems and their proofs.

This definitive synthesis of mathematician Gregory Margulis's research brings together leading experts to cover the breadth and diversity of disciplines Margulis's work touches upon.

An Introduction to Grids, Graphs, and Networks aims to provide a concise introduction to graphs and networks at a level that is accessible to scientists, engineers, and students.

Like the intriguing Fibonacci and Lucas numbers, Catalan numbers are also ubiquitous.

Number theory is one of the oldest branches of mathematics that is primarily concerned with positive integers.

In 1875, Elwin Bruno Christoffel introduced a special class of words on a binary alphabet linked to continued fractions which would go onto be known as Christoffel words.

Number theory is the branch of mathematics that is primarily concerned with the counting numbers.

Number theory is the branch of mathematics that is primarily concerned with the counting numbers.

Numbers are integral to our everyday lives and feature in everything we do.

Numbers are integral to our everyday lives and feature in everything we do.

Complex analysis is a classic and central area of mathematics, which is studies and exploited in a range of important fields, from number theory to engineering.

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.

This edited collection of chapters, authored by leading experts, provides a complete and essentially self-contained construction of 3-fold and 4-fold klt flips.

This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics.

In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers.

In 2013, a little known mathematician in his late 50s stunned the mathematical community with a breakthrough on an age-old problem about prime numbers.

Complex analysis is a classic and central area of mathematics, which is studies and exploited in a range of important fields, from number theory to engineering.

Our grasp of numbers and uncertainty is one of humankind's most distinctive and important traits.

Our grasp of numbers and uncertainty is one of humankind's most distinctive and important traits.

This innovative undergraduate textbook approaches number theory through the lens of abstract algebra.

Generating function (GF) is a mathematical technique to concisely represent a known ordered sequence into a simple continuous algebraic function in dummy variable(s).

This textbook originates from a course taught by the late Ken Ireland in 1972.

Matrix Methods: Applied Linear Algebra and Sabermetrics, Fourth Edition, provides a unique and comprehensive balance between the theory and computation of matrices.

This textbook offers a rigorous presentation of mathematics before the advent of calculus.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems.

The Linear Algebra Survival Guide offers a concise introduction to the difficult core topics of linear algebra, guiding you through the powerful graphic displays and visualization of Mathematica that make the most abstract theories seem simple - allowing you to tackle realistic problems using simple mathematical manipulations.

In this appealing and well-written text, Richard Bronson starts with the concrete and computational, and leads the reader to a choice of major applications.

Advances in Domain Adaptation Theory gives current, state-of-the-art results on transfer learning, with a particular focus placed on domain adaptation from a theoretical point-of-view.

Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems.

Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined.

A Concrete Approach to Abstract Algebra presents a solid and highly accessible introduction to abstract algebra by providing details on the building blocks of abstract algebra.

Algebra, as we know it today, consists of many different ideas, concepts and results.

Number and geometry are the foundations upon which mathematics has been built over some 3000 years.

Gaps and limits are two phenomena occuring in the Boolean algebra P(&ohgr;)/fin.

The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages.

Enzyme Mathematics

Theory of Extremal Problems

Differential Forms in Mathematical Physics

Convex Analysis and Variational Problems

This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time.

The first four chapters of this volume are based on lectures given by Stroock at MIT in 1987.

Initial-Boundary Value Problems and the Navier-Stokes Equations

Infinite Crossed Products

General Theory of Markov Processes

Real Reductive Groups II

Ring Theory V2

Ring Theory V1

Decompositions of Manifolds

Real-variable Methods in Harmonic Analysis