Geometry

An introduction to Ricci flow suitable for graduate students and research mathematicians.

This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory' at the ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014.

Quaternionic and Clifford analysis are an extension of complex analysis into higher dimensions.

The conical approach provides a geometrical understanding of optimization and is a powerful research tool and useful problem-solving technique (for example, in decision support and real time control applications).

Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry.

This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc.

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.

This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria.

This book combines the classical and contemporary approaches to differential geometry.

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

The aim of this book is to throw light on various facets of geometry through development of four geometrical themes.

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This book presents problems and solutions in calculus with curvilinear coordinates.

Spencer Bloch''s landmark lectures are finally back in print, with a new preface by the author reflecting on recent developments.

Traditional point of view: pinched manifolds 147 Almost flat pinching 148 Coarse point of view: compactness theorems of Gromov and Cheeger 149 K.

This book and the following second volume is an introduction into modern algebraic geometry.

Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry.

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

This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory.

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.

This is a unified treatment of the various algebraic approaches to geometric spaces.

Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge-Ampere and linearized Monge-Ampere equations.

This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization.

This book examines the life and work of mathematician Giovanni Battista Guccia, founder of the Circolo Matematico di Palermo and its renowned journal, the Rendiconti del Circolo matematico di Palermo.

Unifies discrete and computational geometry by using forbidden patterns of points to characterize many of its problems.

Diese Einführung in die algebraische Geometrie richtet sich an Studierende mittlere und höhere Semester.

This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces.

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997.

This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds.

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory.

Computer languages and computer graphics have become the primary modes of human-computer interaction.

A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.

This book is an introduction to fiber bundles and fibrations.

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

In recent years hyperbolic geometry has been the object and the preparation for extensive study that has produced important and often amazing results and also opened up new questions.

Questo è un libro di testo sulla geometria differenziale di curve e superfici, adatto agli studenti universitari del secondo e terzo anno dei corsi di Laurea in Matematica, Fisica, Ingegneria e Informatica.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world.

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

This third volume of four describes all the most important techniques, mainly based on Gröbner bases.

This volume consists of 15 papers contributing to the Hayama Symposium on Complex Analysis in Several Variables XXIII, which was dedicated to the 100th anniversary of the creation of the Bergman kernel.