Geometry

Algebraic curves and surfaces are an old topic of geometric and algebraic investigation.

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

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students.

It has been said that `String theorists talk to string theorists and everyone else wonders what they are saying'.

How is the Beatles' "e;Help!

The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature.

Eine gleichermaßen aktuelle wie zusammenfassende Darstellung der wichtigsten Methoden zur Untersuchung der klassischen Gruppen fehlte bislang in deutschsprachigen Lehrbüchern.

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28.

curvilinear coordinates.

Surveys of recent important developments in combinatorics covering a wide range of areas in the field.

In 1993, M Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry.

This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics.

These lecture notes are an introduction to several ideas and applications of noncommutative geometry.

This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics.

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 - February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics.

The main focus of this book is disseminating research results regarding the pencil of ellipses inscribing arbitrary convex quadrilaterals.

In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field.

This easy-to-read introduction takes the reader from elementary problems through to current research.

This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the study of scalar curvature rigidity and positive mass theorems using spinors and the Dirac operator It is intended for both graduate students and researchers.

This volume collects contributions by leading experts in the area of commutative algebra related to the INdAM meeting "e;Homological and Computational Methods in Commutative Algebra"e; held in Cortona (Italy) from May 30 to June 3, 2016 .

A broad introduction, perfect for a one-year graduate course.

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The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve.

This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics.

The present work grew out of a study of the Maslov class (e.

Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings.

This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry.

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.

An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.

Difference sets are of central interest in finite geometry and design theory.

Tough Test Questions?

Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general.

In recent decades, quantization has led to interesting applications in various mathematical branches.

Computational Geometry: Curve and Surface Modeling provides information pertinent to the fundamental aspects of computational geometry.

Real Variable Methods in Fourier Analysis

This book presents a unified mathematical treatment of diverse problems in thegeneral domain of robotics and associated fields using Clifford or geometric alge-bra.

George Collins' discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.

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