Geometry

Resolution of singularities is notorious as a difficult topic within algebraic geometry.

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

Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion.

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.

This book provides the first-ever systematic introduction to the theory of Riemannian submersions, which was initiated by Barrett O'Neill and Alfred Gray less than four decades ago.

Hellmuth Kneser (1898-1973) ist der Zweite von drei bedeutenden Mathematikern aus aufeinander folgenden Generationen der Familie Kneser, die wegweisende Erkenntnisse in einem erstaunlich breiten Spektrum von Spezialgebieten beisteuerten.

This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths.

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 (mathematical) heroes of this book are "e;perfect proofs"e;: brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory.

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.

This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg.

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

What is spectral action, how to compute it and what are the known examples?

This book is a tribute to the memory of Yuri Ivanovich Manin, who passed away on January 7, 2023.

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 volume of proceedings consists of 14 invited papers.

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 provides an introduction to state-of-the-art applications of homotopy theory to arithmetic geometry.

This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff-James orthogonality.

A no-nonsense practical guide to geometry, providing concise summaries, clear model examples, and plenty of practice, making this workbook the ideal complement to class study or self-study, preparation for exams or a brush-up on rusty skills.

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 textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

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

Historically, science has developed by reducing complex situations to simple ones, analyzing the components and synthesizing the original situation.

A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties.

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.

Philosophers have studied geometry since ancient times.

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.