Geometry Books

Uchiyama's decomposition of BMO functions is considered the "Mount Everest of Hardy space theory". This book is based on the draft, which the author completed before his sudden death in 1997. Nowadays, his contributions are...

This book is an introduction to singularities for graduate students and researchers.It is said that algebraic geometry originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité...

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincaré conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture. There are still many important and...

Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National...

This book is designed for graduate students to acquire knowledge of dimension theory, ANR theory (theory of retracts), and related topics. These two theories are connected with various fields in geometric topology and in...

Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some...

This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, in...

This is an elegant and profound homage to the discipline of descriptive geometry. Sterile classroom lectures on the subject have long been the bane of engineering and architecture students and now it is widely thought that CAD...

New Directions in 4-Manifold Theory.- Lecture 1: Donaldson and Seiberg-Witten Invariants.- Lecture 2: The Immersed Thorn Conjecture.- Lecture 3: Intersection Forms of Smooth 4-Manifolds.- References.- On the Regularity of Classical Field Theories in...

In keeping with the general aim of the "D.M.V.-Seminar" series, this book is princi­ pally a report on a group of lectures held at Blaubeuren by Professors H. J. Baues, S. Halperin and J.-M. Lemaire, from October 30 to November...

From the book reviews:"This is the softcover reprint of a monograph that was awarded the Ferran Sunyer i Balaguer prize in 1996. It is devoted to a recurring theme in number theory, namely that the non-vanishing of L-functions implies important...

most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t > O. General references for much of the material on the derivation of spectral functions, asymptotic expansions...

0.1 Introduction These lecture notes describe a new development in the calculus of variations which is called Aubry-Mather-Theory. The starting point for the theoretical physicist Aubry was a model for the descrip­ tion of the...

The school, the book This book is based on lectures given by the authors of the various chapters in a three week long CIMPA summer school, held in Sophia-Antipolis (near Nice) in July 1992. The first week was devoted to the...

As an interesting object of arithmetic, algebraic and analytic geometry the complex ball was born in a paper of the French Mathematician E. PICARD in 1883. In recent developments the ball finds great interest again in the...

This book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals,...

During the time from June 28-July 1, 1978, representatives of different branches of geometry met in Siegen for discussion of and reports on current problems. In particular, the survey lectures, presented by well known ...

Mit diesem Buchlein ist eine EinfUhrung in die neueren Methoden der darsteUenden Geometrie beabsichtigt, welche einen Uberblick geben soU, wie sich dieser Zweig der Mathematik uber den durch lange Zeit hindurch festgehaltenen...

Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical...

Edwin A. Abbotts Flachland erzählt auf humorvolle Weise die Geschichte einer zweidimensionalen Welt aus der Sicht eines Quadrats, das in die Mysterien des dreidimensionalen Raums eingeweiht wird. Die vorliegende Neuübersetzung des Romans von...

In diesem Buch entdecken Sie die mathematischen Muster und Regelmäßigkeiten verschiedener ​Spiralen, Schraubenlinien und spiralartiger Figuren. Deren geometrische Aspekte und Zusammenhänge sind visuell ansprechend aufbereitet und bestmöglich um...

Als am 4. Oktober 1957 der erste Satellit in eine Erdumlaufbahn gebracht wurde, dachte noch niemand an eine Positionsbestimmung mit Hilfe von Satelliten, und doch war „Sputnik I" der Wegbereiter der heutigen Satellitennavigationssysteme. Ursprünglich als...

In diesem Lehrbuch werden alte und neue Probleme der Geometrie wie Kreisquadratur, Würfelverdopplung und Winkeldreiteilung vorgestellt und weitergedacht bis zu Fragen und Problemen der elementaren diskreten Geometrie. Der Zugang zu diesem im...

This book illustrates the deep roots of the geometrically nonlinear kinematics ofgeneralized continuum mechanics in differential geometry. Besides applications to first-order elasticity and elasto-plasticity an appreciation thereof is particularly...

This modern translation of Sophus Lie's and Friedrich Engel's "Theorie der Transformationsgruppen I" will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text. Volume I...

Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras first arose in the study of the so-called "multiplication algebras of...

I. The topics of this book The concept of a matroid has been known for more than five decades. Whitney (1935) introduced it as a common generalization of graphs and matrices. In the last two decades, it has become clear how...

Leonid Ryvkin gives a motivated and self-sustainedintroduction to n-plectic geometry with a special focus on symmetries. Therelevant algebraic structures from scratch are developed. The author generalizesknown symplectic notions, notably observables and...

Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which is one of the oldest and most powerful methods to construct exact solutions for the fundamental equations in classical and quantum...

The most immediate one-dimensional variation problem is certainly the problem of determining an arc of curve, bounded by two given and having a smallest possible length. The problem of deter­ points mining and investigating a...

Investigations in modem nonlinear analysis rely on ideas, methods and prob­ lems from various fields of mathematics, mechanics, physics and other applied sciences. In the second half of the twentieth century many prominent, ex­...

This volume is dedicated to the memory of Harry Ernest Rauch, who died suddenly on June 18, 1979. In organizing the volume we solicited: (i) articles summarizing Rauch's own work in differential geometry, complex analysis and...

Whoever you are! How can I but offer you divine leaves . . . ? Walt Whitman The object of study in modern differential geometry is a manifold with a differ­ ential structure, and usually some additional structure as well. Thus,...

In the late forties, Mathematical Programming became a scientific discipline in its own right. Since then it has experienced a tremendous growth. Beginning with economic and military applications, it is now among the most...

Wir unterhielten uns einmal dariiber, daB man sich in einer fremden Sprache nur unfrei ausdriicken kann und im Zweifelsfall lieber das sagt, was man richtig und einwandfrei zu sagen hofft, als das, was man eigentlich sagen will...

The present volume contains, together with numerous addition and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the Centro Internazionale Mate­ matico Estivo. The...

The words "microdifferential systems in the complex domain" refer to seve­ ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis. The microlocal point of view...

Content and Subject Matter: This research monograph deals with two main subjects, namely the notion of equimultiplicity and the algebraic study of various graded rings in relation to blowing ups. Both subjects are clearly...

General topology is the domain ofmathematics devoted to the investigation of the concepts of continuity and passage to a limit at their natural level of generality. The most basic concepts of general topology, that of a...

This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate...

This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to...

The so-called boundary element methods BEM, i.e. finite element approxima­ tions of boundary integral equations have been improved recently even more vividly then ever before and found some remarkable support by the German...