Geometry

An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications.

Shafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago.

This book contains an up-to-date survey and self-contained chapters on complex slant submanifolds and geometry, authored by internationally renowned researchers.

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

While it is well known that the Delian problems are impossible to solve with a straightedge and compass - for example, it is impossible to construct a segment whose length is cube root of 2 with these instruments - the discovery of the Italian mathematician Margherita Beloch Piazzolla in 1934 that one can in fact construct a segment of length cube root of 2 with a single paper fold was completely ignored (till the end of the 1980s).

A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.

This collective volume is the first to discuss systematically what are the possibilities to model different aspects of brain and mind functioning with the formal means of fractal geometry and deterministic chaos.

These proceedings include selected and refereed original papers; most are research papers, a few are comprehensive survey articles.

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This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties.

This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces.

The topological fundamental group of a smooth complex algebraic variety is poorly understood.

This book provides an introduction to geometric invariant theory from a differential geometric viewpoint.

This book consists of contributions from the participants of the Abel Symposium 2019 held in Alesund, Norway.

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("e;generators"e;).

This proceedings volume gathers together selected works from the 2018 "e;Asymptotic, Algebraic and Geometric Aspects of Integrable Systems"e; workshop that was held at TSIMF Yau Mathematical Sciences Center in Sanya, China, honoring Nalini Joshi on her 60th birthday.

This proceedings volume covers a range of research topics in algebra from the Southern Regional Algebra Conference (SRAC) that took place in March 2017.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.

Analytic Functions and Manifolds in Infinite Dimensional Spaces

This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds.

This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions.

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

In this monograph, we de?

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

This textbook provides a coherent, integrated look at various topics from undergraduate analysis.

Written by a world expert on the subject, this is the first complete reference on the mathematics of origami.

This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover.

In this monograph, the authors develop a new theory of p-adic cohomology for varieties over Laurent series fields in positive characteristic, based on Berthelot's theory of rigid cohomology.

An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space.

Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets).

An introduction to the state of the art in the study of Kahler groupsThis book gives an authoritative and up-to-date introduction to the study of fundamental groups of compact Kahler manifolds, known as Kahler groups.

Semi-Infinite Geometry is a theory of "e;doubly infinite-dimensional"e; geometric or topological objects.

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampere and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences.

This volume is based on four advanced courses held at the Centre de Recerca Matematica (CRM), Barcelona.

In 19 articles presented by leading experts in the field of geometric modelling the state-of-the-art on representing,modeling, and analyzing curves, surfaces as well as other 3-dimensional geometry is given.

Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical reasoning.

This book represents the first synthesis of the considerable body of new research into positive definite matrices.

As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying geometric concepts in detail.