Geometry

This 1998 book explains the design of geometry algorithms, including discussion of implementation issues and working C code.

Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity.

This textbook provides a second course in complex analysis with a focus on geometric aspects.

The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian.

This book, Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B), is the second in a captivating series of four books presenting a choice of topics, among fundamental and more advanced in differential geometry (DG).

Focussing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD).

Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book.

to introduce these techniques and additional background is provided in appendices.

The falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together.

The main topics of the conference on "Curves in Projective Space" were good and bad families of projective curves, postulation of projective space curves and classical problems in enumerative geometry.

A timely collection of advanced, original material in the area of statistical methodology motivated by geometric problems, dedicated to the influential work of Kanti V.

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 book provides the solutions to all 347 exercises contained in the text Convexity from the Geometric Point of View, published in the same Cornerstones series.

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory.

The book covers a wide area of hot subjects in real and complex differential geometry, such as conformal geometry, special holonomy, Sasakian geometry, Kähler and non-Kähler metrics, classification of compact complex surfaces, Einstein metrics, bi-Hermitian geometry, non-integrable almost complex structures, etc.

This monograph presents a new model of mathematical structures called weak n-categories.

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

This book delves into the p-adic Simpson correspondence, its construction, and development.

Modern text examining the interplay between measure theory and Fourier analysis.

This book presents a selection of papers from the International Conference Geometrias'17, which was hosted by the Department of Architecture at the University of Coimbra from 16 to 18 June 2017.

The falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together.

This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students.

Differential geometry is an actively developing area of modern mathematics.

In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration.

This set of notes is aimed at graduate students who are specializing in algebraic topology.

The second volume of Shafarevich's introductory book on algebraic varieties and complex manifolds.

This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.

Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures.

This monograph could be used for a graduate course on symplectic geometry as well as for independent study.

An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables.

Barsotti Symposium in Algebraic Geometry contains papers corresponding to the lectures given at the 1991 memorial meeting held in Abano Terme in honor of Iacopo Barsotti.

An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

This book is a significant contribution within and across High Energy Physics and Algebraic Combinatorics.

Details the interaction between the two vigorous fields of non-commutative geometry and quantum stochastic processes.

Praise for the previous edition[.

This text presents a graduate-level introduction to differential geometry for mathematics and physics students.

Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray's famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones.

Many disciplines are concerned with manipulating geometric (or spatial) objects in the computer - such as geology, cartography, computer aided design (CAD), etc.

This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.

This book is an enhanced and expanded English edition of the treatise "e;Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,"e; published by the Accademia delle Scienze di Torino in volume no.

This book reports on an original approach to problems of loci.

A fully annotated edition of Abbott''s classic Flatland, with notes and commentary putting it in its historical and mathematical context.

The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective.

This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory.

This contributed volume is the result of a July 2010 workshop at the University of Wuppertal Interdisciplinary Centre for Science and Technology Studies which brought together world-wide experts from physics, philosophy and history, in order to address a set of questions first posed in the 1950s: How do we compare spacetime theories?