Geometry

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries.

This book presents a complete proof of Connes'' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential geometry.

Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.

There are three new appendices, one by Stefan Theisen on the role of Calabi- Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory.

An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

In one sense, the problem of finding the densest packing of congruent circles in a square is easy to understand.

Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices.

Graph Theory is a branch of discrete mathematics.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

The Handbook presents an overview of most aspects of modernBanach space theory and its applications.

This volume is the result of a (mainly) instructional conference on arithmetic geometry, held from July 30 through August 10, 1984 at the University of Connecticut in Storrs.

The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications.

This book is for all lovers ofmathematics.

manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology.

This book, first published in 2006, details how limit processes can be represented algebraically.

Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.

Algebra & Geometry: An Introduction to University Mathematics, Second Edition provides a bridge between high school and undergraduate mathematics courses on algebra and geometry.

Far from being separate entities, many social and engineering systems can be considered as complex network systems (CNSs) associated with closely linked interactions with neighbouring entities such as the Internet and power grids.

A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory.

This coherent introduction provides a new perspective on group actions on R-trees.

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

Designed for mathematics majors and other students who intend to teach mathematics at the secondary school level, College Geometry: A Unified Development unifies the three classical geometries within an axiomatic framework.

The leveraging of artificial intelligence (AI) for model discovery in dynamical systems is cross-fertilizing and revolutionizing both disciplines, heralding a new era of data-driven science.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces.

This book returns geometry to its natural habitats: the arts, nature and technology.

A self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory.

The legacy of Galois was the beginning of Galois theory as well as group theory.

String art is a well-known and popular activity that uses string, a board, and nails to produce artistic images (although there are variations that use different modalities).

Quaternion and Clifford Fourier Transforms describes the development of quaternion and Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years.

There is a strong case for electrical network topologists and submodular function theorists being aware of each other's fields.

The world''s leading authorities describe the state of the art in Serre''s conjecture and rational points on algebraic varieties.

This book is essential reading for anyone interested in low-dimensional topology.

This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students.

A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.

This volume consists of the proceedings of a conference held at the University College of North Wales in July of 1979.

This English translation of Daniel Coray's original French textbook Notes de geometrie et d'arithmetique introduces students to Diophantine geometry.

Lavishly illustrated and entertaining account of the surprising and useful results of the maths of folding and unfolding.

Practice makes perfect!

The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume.

This book introduces path-breaking applications of concepts from mathematical topology to music-theory topics including harmony, chord progressions, rhythm, and music classification.

Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range.

The book consists of a presentation from scratch of cycle space methodology in complex geometry.

One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition.