Geometry

This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity.

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras.

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Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry.

A pioneering new nonlinear approach to a fundamental question in algebraic geometryOne of the crowning achievements of nineteenth-century mathematics was the proof that the geometry of lines in space uniquely determines the Cartesian coordinates, up to a linear ambiguity.

This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas.

This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces.

The featured review of the AMS describes the author's earlier work in the field of approach spaces as, 'A landmark in the history of general topology'.

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

Hofstadter's Law: It always takes longer than you think it will take, even if you take into account Hofstadter's Law.

Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution.

This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations.

This book provides a self-contained exposition of the theory of plane Cremona maps, reviewing the classical theory.

This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil.

This text provides a concise introduction, suitable for a one-semester special topicscourse, to the remarkable properties of Gaussian measures on both finite and infinitedimensional spaces.

Differentilil Geometry and Relativity Theory: An Introduction approaches relativity asa geometric theory of space and time in which gravity is a manifestation of space-timecurvature, rathe1 than a force.

We introduce mixed twistor D-modules and establish their fundamental functorial properties.

Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them.

This textbook, based on a one-semester course taught several times by the authors, provides a self-contained, comprehensive yet concise introduction to the theory of pseudoholomorphic curves.

This volume contains the proceedings from the first Women in MathArt Research Collaboration Conference for Women, showcasing women mathematicians researching and curating creative pedagogies at the intersection of mathematics and the arts.

This book presents a panorama of recent developments in the theory of tilings and related dynamical systems.

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "e;Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory"e;, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The book is an introduction to the foundations of Mathematics.

For most mathematicians and many mathematical physicists the name Erich Kähler is strongly tied to important geometric notions such as Kähler metrics, Kähler manifolds and Kähler groups.

Presentingthe first systematic treatment of the behavior of Neron models under ramifiedbase change, this book can be read as an introduction to various subtleinvariants and constructions related to Neron models of semi-abelian varieties,motivated by concrete research problems and complemented with explicitexamples.

This definitive synthesis of mathematician Gregory Margulis's research brings together leading experts to cover the breadth and diversity of disciplines Margulis's work touches upon.

Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory.

This book contains the notes of five short courses delivered at the "e;Centro Internazionale Matematico Estivo"e; session "e;Integral Geometry, Radon Transforms and Complex Analysis"e; held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems.

The present book contains the lecture notes from a "e;Nachdiplomvorlesung"e;, a topics course adressed to Ph.

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes).

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

INTRODUCTION TO DIFFERENTIAL GEOMETRY WITH TENSOR APPLICATIONS This is the only volume of its kind to explain, in precise and easy-to-understand language, the fundamentals of tensors and their applications in differential geometry and analytical mechanics with examples for practical applications and questions for use in a course setting.

As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense.

This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry.

The author's lectures, "e;Contact Manifolds in Riemannian Geometry,"e; volume 509 (1976), in the Springer-Verlag Lecture Notes in Mathematics series have been out of print for some time and it seems appropriate that an expanded version of this material should become available.

Several important aspects of moduli spaces and irreducible holomorphic symplectic manifolds were highlighted at the conference "e;Algebraic and Complex Geometry"e; held September 2012 in Hannover, Germany.

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields.

This book is an introduction to the theory and applications of "e;modern geometry"e; ~ roughly speaking, geometry that was developed after Euclid.

This book contains 22 lectures presented at the final conference of the Ger- man research program (Schwerpunktprogramm) Algorithmic Number The- ory and Algebra 1991-1997, sponsored by the Deutsche Forschungsgemein- schaft.

This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century.