Geometry

This book presents, in a clear and structured way, the set function \mathcal{T} and how it evolved since its inception by Professor F.

This book develops the thesis that structure and function in a variety of condensed systems - from the atomic assemblies in inorganic frameworks and organic molecules, through molecular self-assemblies to proteins - can be unified when curvature and surface geometry are taken together with molecular shape and forces.

This 2003 volume consists of the first two volumes of Mukai''s series on moduli theory.

This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.

Aimed at advanced undergraduate and beginning graduate students, this book provides a first taste of the theory of Lie groups as an appetiser for a more substantial further course.

This monograph covers the concept of cartesian tensors with the needs and interests of physicists, chemists and other physical scientists in mind.

There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science.

Why don''t things fall down?

This book presents a complete proof of Connes'' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors.

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This volume contains a collection of research papers and useful surveys by experts in the field which provide a representative picture of the current status of this fascinating area.

This book provides the first-ever systematic introduction to the theory of Riemannian submersions, which was initiated by Barrett O'Neill and Alfred Gray less than four decades ago.

This textbook offers a rigorous presentation of mathematics before the advent of calculus.

A breathtakingly illustrated look at botanical spirals and the scientists who puzzled over themCharles Darwin was driven to distraction by plant spirals, growing so exasperated that he once begged a friend to explain the mystery ';if you wish to save me from a miserable death.

The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry.

Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage.

In this book the seminal 1970 Moscow thesis of Grigoriy A.

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.

Configurations can be studied from a graph-theoretical viewpoint via the so-called Levi graphs and lie at the heart of graphs, groups, surfaces, and geometries, all of which are very active areas of mathematical exploration.

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry.

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.

This book offers a non-standard introduction to quantum mechanics and quantum field theory, approaching these topics from algebraic and geometric perspectives.

This book provides an overview of the latest progress on rationality questions in algebraic geometry.

The book gathers contributions from the fourth conference on Information Geometry and its Applications, which was held on June 12-17, 2016, at Liblice Castle, Czech Republic on the occasion of Shun-ichi Amari's 80th birthday and was organized by the Czech Academy of Sciences' Institute of Information Theory and Automation.

In 1854, B Riemann introduced the notion of curvature for spaces with a family of inner products.

In many fields of modern mathematics specialised scientific software becomes increasingly important.

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the engineering, mathematical, and scienti?

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure.

The world is continuous, but the mind is discrete.

Locally semialgebraic spaces serve as an appropriateframework for studying the topological properties ofvarieties and semialgebraic sets over a real closed field.

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra.

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

A fascinating exploration of the pentagon and its role in various culturesThe pentagon and its close cousin, the pentagram, have inspired individuals for the last two and half millennia, from mathematicians and philosophers to artists and naturalists.

This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinary discussions.

This book is a remarkable contribution to the literature on dynamical systems and geometry.

This book provides the first unified examination of the relationship between Radon transforms on symmetric spaces of compact type and the infinitesimal versions of two fundamental rigidity problems in Riemannian geometry.

The problem of enumerating maps (a map is a set of polygonal "e;countries"e; on a world of a certain topology, not necessarily the plane or the sphere) is an important problem in mathematics and physics, and it has many applications ranging from statistical physics, geometry, particle physics, telecommunications, biology, .

The groundbreaking results of the near past - Donaldson's result on Lef- schetz pencils on symplectic manifolds and Giroux's correspondence be- tween contact structures and open book decompositions - brought a top- ological flavor to global symplectic and contact geometry.

This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups.

This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems.

Graph Theory is a branch of discrete mathematics.