Number theory

French mathematician Pierre de Fermat became most well known for his pioneering work in the area of number theory.

A deep understanding of prime numbers is one of the great challenges in mathematics.

Discrete mathematics is quickly becoming one of the most important areas of mathematical research, with applications to cryptography, linear programming, coding theory and the theory of computing.

The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study.

This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations.

This book is designed for a topics course in computational number theory.

ItisnowwellknownthatFermat'slasttheoremhasbeenproved.

Gauss created the theory of binary quadratic forms in "e;Disquisitiones Arithmeticae"e; and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat's Last Theorem.

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

Reveals how the number science found in ancient sacred monuments reflects wisdom transmitted from the angelic orders Explains how the angels transmitted megalithic science to early humans to further our conscious development Decodes the angelic science hidden in a wide range of monuments, including Carnac in Brittany, the Great Pyramid in Egypt, early Christian pavements, the Hagia Sophia in Istanbul, Stonehenge in England, and the Kaaba in Mecca Explores how the number science behind ancient monuments gave rise to religions and spiritual practices The angelic mind is founded on a deep understanding of number and the patterns they produce.

"e;A complete introduction to the geometric code of nature, written and illustrated by the most perceptive of its modern investigators.

This is an invaluable book that presents the original work published in French, in 1904, by Henry Leon Lebesgue, the creator of the theory of integration.

This is an invaluable book that presents the original work published in French, in 1904, by Henry Leon Lebesgue, the creator of the theory of integration.

This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization.

What''s in a name?

This book contains 28 research articles from among the 49 papers and abstracts presented at the Tenth International Conference on Fibonacci Numbers and Their Applications.

Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects.

A gentle introduction to the highly sophisticated world of discrete mathematics, Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers, generating functions, properties of Fibonacci numbers, and Euclidean algorithm.

Natural numbers are the oldest human invention.

Number theory has been a perennial topic of inspiration and importance throughout the history of philosophy and mathematics.

Understanding maths has never been easier.

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.

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 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 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.