Geometry

These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampere equations, a theory largely developed by H.

The reduction of geometry to algebra requires the notion of a transformation group.

This book provides an overview of recent developments in web theory.

Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics.

This book offers a detailed treatment of a class of algebro-geometric solutions and their representations.

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra.

It is an historical goal of algebraic number theory to relate all algebraic extensionsofanumber?

This book provides a remarkable collection of contributions written by some of the most accredited world experts in the modern area of Knotted Fields.

Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.

This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors.

Mixing may be thought of as the operation by which a system evolves from one state of simplicity (initial segregation) to another state of simplicity (complete uniformity).

This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016.

This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990.

A unified analysis of first-order optimization methods, including parallel-distributed algorithms, using monotone operators.

This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits.

This book focuses on the study of the volume of vector fields on Riemannian manifolds.

This second edition of Alexander Soifer's How Does One Cut a Triangle?

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects.

The origami introduced in this book is based on simple techniques.

This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday.

Guides the reader through the nonlinear Perron–Frobenius theory, introducing them to recent developments and challenging open problems.

The Curves The Point of View of Max Noether Probably the oldest references to the problem of resolution of singularities are found in Max Noether's works on plane curves [cf.

The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra.

This book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world's leading theoretical physicists, mathematicians, historians and philosophers of science.

In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by the use of fully interactive three-dimensional graphics throughout the text.

Lectures: A.

Solutions Manual to accompany Classical Geometry: Euclidean, Transformational, Inversive, and Projective Written by well-known mathematical problem solvers, Classical Geometry: Euclidean, Transformational, Inversive, and Projective features up-to-date and applicable coverage of the wide spectrum of geometry and aids readers in learning the art of logical reasoning, modeling, and proof.

This book deals with the new class of one-dimensional variational problems - the problems with branching solutions.

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

Offering a concise collection of MatLab programs and exercises to accompany a third semester course in multivariable calculus, A MatLab Companion for Multivariable Calculus introduces simple numerical procedures such as numerical differentiation, numerical integration and Newton's method in several variables, thereby allowing students to tackle realistic problems.

No detailed description available for "e;Theory of Functions on Complex Manifolds"e;.

This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021.

This book deals with the geometry of visual space in all its aspects.

These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization.

The theory of algebraic stacks emerged in the late sixties and early seventies in the works of P.

This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects.

Lectures: C.

The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays.

A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world.

Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them.