Geometry

This collection of essays aims to promote constructive mathematics, not by defining it or formalizing it, but by practicing it.

The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinoya Rorbuer, Svolvaer in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry.

The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stephane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frederic Faure and Masato Tsujii).

These original research papers, written during a period of over a quarter of a century, have two main objectives.

Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work.

This volume of expository papers is the outgrowth of a conference in combinatorics and invariant theory.

In Commutative Algebra certain /-adic filtrations of Noetherian rings, i.

The aim of this volume is to offer a set of high quality contributions on recent advances in Differential Geometry and Topology, with some emphasis on their application in physics.

A comprehensive, self-contained treatment presenting general results of the theory.

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

"e;Star Origami is a festival of folding fun that is sure to inspire.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

This book is the second volume of a work on complex analytic cycles and the results, stated without proof in the first volume, are proved here.

This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics.

The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology and Gromov-Witten theory.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

In this book, Cathleen Heil addresses the question of how to conceptually understand children's spatial thought in the context of geometry education.

Dieses kleine Handbuch der Darstellenden Geometrie bringt in ge­ drängter Form den Stoff, der auch heute noch in einer vier- bis fünfstün­ digen Vorlesung unseren Mathematikern, Ingenieuren und Architekten an einer deutschen Universität oder Technischen Hochschule geboten werden kann oder müßte.

This book provides an introduction to topology, differential topology, and differential geometry.

Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find references, problems, original expositions, new viewpoints, etc.

A gentle introduction to the geometry of convex sets in n-dimensional spaceGeometry of Convex Sets begins with basic definitions of the concepts of vector addition and scalar multiplication and then defines the notion of convexity for subsets of n-dimensional space.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

The theory of hyperbolic groups has its starting point in a fundamental paper by M.

This book lays out the theory of Mordell-Weil lattices, a very powerful and influential tool at the crossroads of algebraic geometry and number theory, which offers many fruitful connections to other areas of mathematics.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

Surveys, research articles, and commented problems based on a 2004 MRSI research workshop in symplectic geometry, ergodicity, hyperbolic dynamics, and other areas.

One of the disappointments experienced by most mathematics students is that they never get a course in mathematics.

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory.

This book offers a detailed exploration of the intrinsic geometrical properties of warped product spaces through the lens of mathematical analysis and global differential geometry.

Dieses Buch bietet Ihnen einen übersichtlichen, umfassenden und klar verständlichen Einblick in die elementare Geometrie und verwandte Gebiete.

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines.

From the reviews: "e;This book gives a thorough introduction to several theories that are fundamental to research on modular forms.

In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together.

This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanta, Romania, on August 26-September 1, 2018.

The contributions making up this volume are expanded versions of the courses given at the C.

The Hauptvermutung is the conjecture that any two triangulations of a poly- hedron are combinatorially equivalent.

The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry.

This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work.

Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy.

This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process.

Aus den Besprechungen: ".

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members.

From the reviews of the hardcover edition: .