**Author**: Luciano Boi

**Publisher:** World Scientific

**ISBN:** 1848166435

**Category : **Mathematics

**Languages : **en

**Pages : **329

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**Book Description**
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.

**Author**: Luciano Boi

**Publisher:** World Scientific

**ISBN:** 1848166435

**Category : **Mathematics

**Languages : **en

**Pages : **329

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**Book Description**
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.

**Author**: England) Euroconference on Algebraic Geometry (1996 Warwick

**Publisher:** Cambridge University Press

**ISBN:** 9780521646598

**Category : **Mathematics

**Languages : **en

**Pages : **500

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**Book Description**
This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing 17 survey and research articles selected from the most outstanding contemporary research topics in algebraic geometry. Several of the articles are expository: among these a beautiful short exposition by Paranjape of the new and very simple approach to the resolution of singularities; a detailed essay by Ito and Nakamura on the ubiquitous A,D,E classification, centred around simple surface singularities; a discussion by Morrison of the new special Lagrangian approach to giving geometric foundations to mirror symmetry; and two deep, informative surveys by Siebert and Behrend on Gromow-Witten invariants treating them from the point of view of algebraic and symplectic geometry. The remaining articles cover a wide cross-section of the most significant research topics in algebraic geometry. This includes Gromow-Witten invariants, Hodge theory, Calabi-Yau 3-folds, mirror symmetry and classification of varieties.

**Author**: Gergely Ambrus

**Publisher:** Springer

**ISBN:** 3662574136

**Category : **Mathematics

**Languages : **en

**Pages : **458

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**Book Description**
This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.

**Author**: Mohamed A. Khamsi

**Publisher:** Cambridge Scholars Publishing

**ISBN:** 1527546128

**Category : **Mathematics

**Languages : **en

**Pages : **401

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**Book Description**
This unique mathematical volume brings together geometers, analysts, differential equations specialists and graph-theorists to provide a glimpse on recent mathematical trends whose commonalities have hitherto remained, for the most part, unnoticed. The applied mathematician will be pleasantly surprised with the interpretation of a voting system in terms of the fixed points of a mapping given in the book, as much as the classical analyst will be enthusiastic to find detailed discussions on the generalization of the notion of metric space, in which the metric takes values on an abstract monoid. Classical themes on fixed point theory are adapted to the diverse setting of graph theory, thus uncovering a set of tools whose power and versatility will be appreciated by mathematicians working on either area. The volume also includes recent results on variable exponent spaces which reveal much-needed connections with partial differential equations, while the incipient field of variational inequalities on manifolds, also explored here, will be of interest to researchers from a variety of fields.

**Author**: Fabrice Baudoin

**Publisher:** Springer Nature

**ISBN:** 3030841413

**Category : **Calculus of variations

**Languages : **en

**Pages : **312

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**Book Description**
This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot-Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.

**Author**: Miguel Sánchez

**Publisher:** Springer Science & Business Media

**ISBN:** 1461448972

**Category : **Mathematics

**Languages : **en

**Pages : **356

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**Book Description**
Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classified, new applications to mathematical relativity and high energy physics have been found, and further connections with other geometries have been developed. Samples of these fresh trends are presented in this volume, based on contributions from the VI International Meeting on Lorentzian Geometry, held at the University of Granada, Spain, in September, 2011. Topics such as geodesics, maximal, trapped and constant mean curvature submanifolds, classifications of manifolds with relevant symmetries, relations between Lorentzian and Finslerian geometries, and applications to mathematical physics are included. This book will be suitable for a broad audience of differential geometers, mathematical physicists and relativists, and researchers in the field.

**Author**: Zalman Usiskin

**Publisher:** IAP

**ISBN:** 1617350087

**Category : **Education

**Languages : **en

**Pages : **347

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**Book Description**
This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula.

**Author**: Marcello Chiaberge

**Publisher:** BoD – Books on Demand

**ISBN:** 9533075171

**Category : **Technology & Engineering

**Languages : **en

**Pages : **681

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**Book Description**
In the last few years the automobile design process is required to become more responsible and responsibly related to environmental needs. Basing the automotive design not only on the appearance, the visual appearance of the vehicle needs to be thought together and deeply integrated with the power developed by the engine. The purpose of this book is to try to present the new technologies development scenario, and not to give any indication about the direction that should be given to the research in this complex and multi-disciplinary challenging field.

**Author**: G Rozenberg

**Publisher:** World Scientific

**ISBN:** 9814502944

**Category : **Computers

**Languages : **en

**Pages : **640

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**Book Description**
The book is a very up-to-date collection of articles in theoretical computer science, written by leading authorities in the field. The topics range from algorithms and complexity to algebraic specifications, and from formal languages and language-theoretic modeling to computational geometry. The material is based on columns and articles that have appeared in the EATCS Bulletin during the past two to three years. Although very recent research is discussed, the largely informal style of writing makes the book accessible to readers with little or no previous knowledge of the topics. Contents:Computational Geometry (H Edelsbrunner et al.)Algebraic Specification (H Ehrig et al.):On the Potential Role of Algebraic Specification within Computer Science (H Ehrig & P Pepper)Linking Schemas and Module Specifications: A Proposal (H Ehrig & M A Arbib)A Short Oxford Survey of Order Sorted Algebra (J Goguen & R Diaconescu)Logic in Computer Science (Y Gurevich et al.):On Kolmogorov Machines and Related IssuesTopoi and Computation (A Blass)Structural Complexity (J Hartmanis et al.):Gödel, von Neumann and the P = ? NP ProblemCounting Hierarchies: Polynomial Time and Constant Depth Circuits (E W Allender & K W Wagner)Formal Language Theory (A Salomaa et al.):Decidability in Finite AutomataParallel Communicating Grammar Systems (L Santean)and other papers Readership: Computer scientists, students and researchers. keywords:Theoretical Computer Science;Formal Methods;Algebraic Specification;Graph Transformation;Petri Net Technology;Integration;Consistency;Verification

**Author**: Huaizhong Zhao

**Publisher:** World Scientific

**ISBN:** 9814360910

**Category : **Mathematics

**Languages : **en

**Pages : **458

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**Book Description**
The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.