Geometry

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

This book teaches algebra and geometry.

Minimal surfaces I is an introduction to the field ofminimal surfaces and apresentation of the classical theoryas well as of parts of the modern development centeredaround boundary value problems.

This monograph on strongly regular graphs is an invaluable reference for anybody working in algebraic combinatorics.

In recent years, research in K3 surfaces and Calabi-Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics-in particular, in string theory.

A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas.

This book is an introduction to differential manifolds.

This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics.

This book gives a modern presentation of modular operands and their role in string field theory.

This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H.

The present book contains the lecture notes from a "e;Nachdiplomvorlesung"e;, a topics course adressed to Ph.

Oriented Projective Geometry: A Framework for Geometric Computations proposes that oriented projective geometry is a better framework for geometric computations than classical projective geometry.

Every group is represented in many ways as an epimorphic image of a free group.

This volume on pure and applied differential geometry, includes topics on submanifold theory, affine differential geometry and applications of geometry in engineering sciences.

The 100+ Series, Math Practice, offers in-depth practice and review for challenging middle school math topics including ratios and proportional relationships, the number system, expressions and equations, geometry, and statistics and probability.

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

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

This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.

Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself.

Approach your problems from the right end It isn't that they can't see the solution.

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role.

This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems - those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas.

Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry.

This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-integrable Hamiltonian systems, or integrable systems slightly perturbed by other forces.

This is the second edition of the only book dedicated to the Geometry of Polycentric Ovals.

Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in 1972 have submitted their contributions for publication in this volume.

The present book has been written by two mathematicians and one physicist: a pure mathematician specializing in Finsler geometry (Makoto Matsumoto), one working in mathematical biology (Peter Antonelli), and a mathematical physicist specializing in information thermodynamics (Roman Ingarden).

Topics include transformations, lighting and shading, ray tracing, radiosity, texture mapping, colour theory, and aspects of animation.

Anomalies are ubiquitous features in quantum field theories.

Coverage includes foundational material as well as current research, authored by top specialists within their fields.

This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces.

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Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Morse, Thom, Smale, Whitney, Milnor, and others.

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This book contains the proceedings of the workshop Uncertainty in Geomet- ric Computations that was held in Sheffield, England, July 5-6, 2001.

Geometric Methods in System Theory In automatic control there are a large number of applications of a fairly simple type for which the motion of the state variables is not free to evolve in a vector space but rather must satisfy some constraints.

This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University.

The Liber mahameleth is a work in Latin written in the mid-12th century based (mainly) on Arabic sources from Islamic Spain.

Fractal sets serve as excellent models in Physics, Chemistry, Biology and other fields.

In the fall of 1992 I was invited by Professor Changho Keem to visit Seoul National University and give a series of talks.

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic.

In this book international expert authors provide solutions for modern fundamental problems including the complexity of computing of critical points for set-valued mappings, the behaviour of solutions of ordinary differential equations, partial differential equations and difference equations, or the development of an abstract theory of global attractors for multi-valued impulsive dynamical systems.

The book provides an introduction to Differential Geometry of Curves and Surfaces.

This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals.

This corrected and clarified second edition, first published in 2006, includes a new chapter on the Riemannian geometry of surfaces.