Topology

This book employs a computable general equilibrium (CGE) model - a widely used economic model which uses actual data to provide economic analysis and policy assessment - and applies it to economic data on Singapore's tourism industry.

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds.

A classic treatment of topological methods in the theory of functions of a complex variable from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Anomalies are ubiquitous features in quantum field theories.

A complete, self-contained introduction to a powerful and resurging mathematical discipline Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes T th, Rogers, and Erd's.

This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory.

A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized.

This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant.

Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.

This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics.

Calculus Using Mathematica is intended for college students taking a course in calculus.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

Discrete dynamical systems are essentially iterated functions.

This monograph considers several well-known mathematical theorems and asks the question, "e;Why prove it again?

This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values.

This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves.

In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom.

Fixed point theory of nonlinear operators has been a rapidly growing area of research and plays an important role in the study of variational inequalities, monotone operators, feasibility problems, and optimization theory, to name just several.

The special session on Decision Economics (DECON) is a scientific forum held annually, which is focused on sharing ideas, projects, research results, models, and experiences associated with the complexity of behavioural decision processes and socio-economic phenomena.

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

The topic of this book sits at the interface of the theory of higher categories (in the guise of (infinity,1)-categories) and the theory of properads.

The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology.

Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators; line, surface, and volume integrals; and the integral theorems of Gauss, Stokes, and Green.

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

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.

The main objective of this book is to give a broad uni?

 The book is the first formulation of a meta-philosophical scheme rooted in the embodied cognition paradigm.

In recent years, many students have been introduced to topology in high school mathematics.

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.

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

This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.

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.

A collection of research papers, both new and expository, based on the interests of Professor J.

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

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.

Graph Theory is a branch of discrete mathematics.

MATRIX is Australia's international, residential mathematical research institute.