Geometry

Kompetenzen in der Geometrie sind nicht nur wegen ihres mathematischen Gehalts bedeutsam, sondern sie dienen auch der Förderung der allgemeinen Intelligenz.

This book contains the proceedings of the conference "e;Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics"e; that was held in the second week of June 2001 at Graz University of Technology, in the capital of Styria, southeastern province of Austria.

The present volume contains, together with numerous additions 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 .

Das vorliegende Lehrbuch bietet eine moderne Einführung in die Differentialgeometrie etwa im Umfang einer einsemestrigen Vorlesung.

The authors describe mostly in non-technical language the development of a new scientific paradigm based on nonlinear deterministic dynamics and fractal geometry.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history.

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Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications.

Geometry is the cornerstone of computer graphics and computer animation, and provides the framework and tools for solving problems in two and three dimensions.

This book summarizes recent inventions, provides guidelines and recommendations, and demonstrates many practical applications of homomorphic encryption.

This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory.

Foliations, groups and pseudogroups are objects which are closely related via the notion of holonomy.

Holomorphic Maps and Invariant Distances

Wondrous One Sheet Origami is a how-to book full of beautiful origami designs covering a wide range of folding levels from simple to high intermediate, with more emphasis on the latter.

Although the study of dynamical systems is mainly concerned with single trans- formations and one-parameter flows (i.

In Riemannian geometry, measurements are made with both yardsticks and protractors.

An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space.

Sales HandleA no-nonsense practical guide to trigonometry, providing concise summaries, clear model examples, and plenty of practice, making this workbook the ideal complement to class study or self-study, preparation for exams or a brush-up on rusty skills.

This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America.

The second volume of three providing a full and detailed account of undergraduate mathematical analysis.

Algebraic K-Theory has become an increasingly active area of research.

In recent years, geometry has played a lesser role in undergraduate courses than it has ever done.

Aus den Besprechungen: "Das vorliegende Buch bringt eine sehr gute Einführung in die Stochastik.

This book provides concise descriptions of the various solutions of transition curves, which can be used in geometric design of roads and highways.

This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016.

In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems.

"e;This book is a jewel - it explains important, useful and deep topics in Algebraic Topology that you won't find elsewhere, carefully and in detail.

Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization.

Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: -as the solution of any Cauchy problem associated to a first-order autonomous differential system; -as the solution of a certain Cauchy problem associated to a second-order conservative prolongation of the initial system.

"e;Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.

The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non commutative algebras.

With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem.

This volume is an outcome of the workshop "e;Moduli of K-stable Varieties"e;, which was held in Rome, Italy in 2017.

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

This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work.

This volume resulted from presentations given at the international "e;Brainstorming Workshop on New Developments in Discrete Mechanics, Geometric Integration and Lie-Butcher Series"e;, that took place at the Instituto de Ciencias Matematicas (ICMAT) in Madrid, Spain.

Now in its third decade, the Colorado Mathematical Olympiad (CMO), founded by the author, has become an annual state-wide competition, hosting many hundreds of middle and high school contestants each year.

A self-contained exposition of local class field theory for students in advanced algebra.

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.

Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics.

Dedicated to the memory of Chih-Han Sah, this volume continues a long tradition of one of the most influential mathematical seminars of this century.