• Mathematics

Curves and Surfaces


Author: M. Abate,F. Tovena
Publisher: Springer Science & Business Media
ISBN: 8847019419
Category: Mathematics
Page: 396
View: 9920
The book provides an introduction to Differential Geometry of Curves and Surfaces. The theory of curves starts with a discussion of possible definitions of the concept of curve, proving in particular the classification of 1-dimensional manifolds. We then present the classical local theory of parametrized plane and space curves (curves in n-dimensional space are discussed in the complementary material): curvature, torsion, Frenet’s formulas and the fundamental theorem of the local theory of curves. Then, after a self-contained presentation of degree theory for continuous self-maps of the circumference, we study the global theory of plane curves, introducing winding and rotation numbers, and proving the Jordan curve theorem for curves of class C2, and Hopf theorem on the rotation number of closed simple curves. The local theory of surfaces begins with a comparison of the concept of parametrized (i.e., immersed) surface with the concept of regular (i.e., embedded) surface. We then develop the basic differential geometry of surfaces in R3: definitions, examples, differentiable maps and functions, tangent vectors (presented both as vectors tangent to curves in the surface and as derivations on germs of differentiable functions; we shall consistently use both approaches in the whole book) and orientation. Next we study the several notions of curvature on a surface, stressing both the geometrical meaning of the objects introduced and the algebraic/analytical methods needed to study them via the Gauss map, up to the proof of Gauss’ Teorema Egregium. Then we introduce vector fields on a surface (flow, first integrals, integral curves) and geodesics (definition, basic properties, geodesic curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then we shall present a proof of the celebrated Gauss-Bonnet theorem, both in its local and in its global form, using basic properties (fully proved in the complementary material) of triangulations of surfaces. As an application, we shall prove the Poincaré-Hopf theorem on zeroes of vector fields. Finally, the last chapter will be devoted to several important results on the global theory of surfaces, like for instance the characterization of surfaces with constant Gaussian curvature, and the orientability of compact surfaces in R3.

    • Mathematics

Finsler Metrics - A Global Approach

with Applications to Geometric Function Theory
Author: Marco Abate,Giorgio Patrizio
Publisher: Springer
ISBN: 354048812X
Category: Mathematics
Page: 182
View: 4299
Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics. After reviewing real Finsler geometry stressing global results, complex Finsler geometry is presented introducing connections, Kählerianity, geodesics, curvature. Finally global geometry and complex Monge-Ampère equations are discussed for Finsler manifolds with constant holomorphic curvature, which are important in geometric function theory. Following E. Cartan, S.S. Chern and S. Kobayashi, the global approach carries the full strength of hermitian geometry of vector bundles avoiding cumbersome computations, and thus fosters applications in other fields.

    • Science

Synchronization

From Simple to Complex
Author: Alexander Balanov,Natalia Janson,Dmitry Postnov,Olga Sosnovtseva
Publisher: Springer Science & Business Media
ISBN: 3540721282
Category: Science
Page: 426
View: 5261
This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

    • Architecture

Techa 2008. Technologies exploitation for the cultural heritage advancement

Atti del convegno e Catalogo delle tecnologie
Author: Filippo Ammirati,Francesca Balzan,Luciana Bordoni,Rosa Caffo,Giovanni Caligo,Francesca Ceccaroni,Riccardo Ginanni Corradini,Mauro Matteini,Maria Mautone,Laura Moltedo,Guglielmo Monti,Endrio Niero,Francesco Saverio Nucci,Marcello Pappagallo,Alessandro Paravicini,Adolfo Pasetti,Francesco M. Sacerdoti,Stella Styliani Fanou,Roberta Tedeschi,Lucrezia Ungaro,Pietro Alessandro Vigato
Publisher: Gangemi Editore spa
ISBN: 8849266995
Category: Architecture
Page: 432
View: 4951
Questo lavoro è frutto dell'evento internazionale TECHA 2008 - Technologies Exploitation for the Cultural Heritage Advancement, dedicato alla presentazione delle nuove tecnologie per la conoscenza, la conservazione e la valorizzazione del patrimonio culturale. Il volume si articola in due sezioni entrambe suddivise nei quattro temi strategici per il patrimonio culturale: Analisi, diagnostica e monitoraggio, Materiali e tecniche di intervento, ICT e Tecnologie sostenibili per il patrimonio culturale. La prima sezione raccoglie le relazioni di esperti nazionali e internazionali che hanno preso parte ai workshop del primo giorno; nella seconda sono presentate 150 schede tecniche di tecnologie innovative proposte da ricercatori e imprenditori di tutta Europa in occasione del Technology Transfer Day. La manifestazione ha favorito la divulgazione delle migliori metodologie e tecnologie esistenti sul mercato e dato vita a momenti di discussione tra i diversi operatori del settore (istituzioni, centri di ricerca, aziende) sulle metodologie, le innovazioni e le problematiche inerenti il restauro e la fruizione del patrimonio culturale. This work is the result of the international event TECHA 2008 - Technologies Exploitation for the Cultural Heritage Advancement, devoted to the presentation of new technologies for the knowledge, conservation and valorization of cultural heritage. The book is divided in two sections both including the four strategic topics for cultural heritage: Analysis, diagnostics and monitoring, Materials and intervention techniques, ICT and Sustainable technologies for cultural heritage. The first section collects lectures of national and international experts attended the workshops of the first day; the second put together 150 technology data sheets presented by European researchers and entrepreneurs during the Technology Transfer Day. The event aimed at promoting the dissemination of the best available techniques and methodologies and at creating fruitful discussion panels among the various experts of the field (public bodies, research centres and companies) on methodologies, innovations and problems pertaining restoration and enjoyment of cultural heritage.

    • Medical

Handbook of Neurochemistry

Volume VII Pathological Chemistry of the Nervous System
Author: Abel Lajtha
Publisher: Springer Science & Business Media
ISBN: 1461571723
Category: Medical
Page: 675
View: 6911
Anyone who has any contact with mental patients, old or young, or their families, or just visits a mental hospital or school for the retarded, is aware of the tremendous suffering caused by malfunctioning of the brain. The func tion of no other organ is so crucial for our everyday life, our proper func tioning, indeed our happiness, and no other illness causes as much anguish to patients or their families as mental illness. It is surprising and sad, therefore, how little effort has been devoted to research in this area; more so because such research is the only hope to ameliorate this suffering, or, to speak in the language of politics or economics, to decrease the enormous sums that we spend on trying to help our patients, with what is must generally be agreed are the most primitive and inadequate methods of treatment. Clearly, since functions of the brain are vital not only in illness, but in health, pathology is not the only area of concern to neurochemists, but it is an area that urgently needs neurochemical contributions. Progress in this field has been slower than in other areas of neurochemistry, and it seems that solutions in this field are very elusive. The reason for this is that the experimental approach is especially difficult in conditions specific for humans, or specific for complex behavior.

    • Mathematics

Survival and Event History Analysis

A Process Point of View
Author: Odd Aalen,Ornulf Borgan,Hakon Gjessing
Publisher: Springer Science & Business Media
ISBN: 038768560X
Category: Mathematics
Page: 540
View: 786
The aim of this book is to bridge the gap between standard textbook models and a range of models where the dynamic structure of the data manifests itself fully. The common denominator of such models is stochastic processes. The authors show how counting processes, martingales, and stochastic integrals fit very nicely with censored data. Beginning with standard analyses such as Kaplan-Meier plots and Cox regression, the presentation progresses to the additive hazard model and recurrent event data. Stochastic processes are also used as natural models for individual frailty; they allow sensible interpretations of a number of surprising artifacts seen in population data. The stochastic process framework is naturally connected to causality. The authors show how dynamic path analyses can incorporate many modern causality ideas in a framework that takes the time aspect seriously. To make the material accessible to the reader, a large number of practical examples, mainly from medicine, are developed in detail. Stochastic processes are introduced in an intuitive and non-technical manner. The book is aimed at investigators who use event history methods and want a better understanding of the statistical concepts. It is suitable as a textbook for graduate courses in statistics and biostatistics.

    • Mathematics

Introduction to the Calculus of Variations

Third Edition
Author: Bernard Dacorogna
Publisher: World Scientific Publishing Company
ISBN: 178326554X
Category: Mathematics
Page: 324
View: 7671
The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology. This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist — mathematicians, physicists, engineers, students or researchers — in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions. In this new edition, several new exercises have been added. The book, containing a total of 119 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

    • Computers

Introduction to 3+1 Numerical Relativity


Author: Miguel Alcubierre
Publisher: Oxford University Press
ISBN: 0199205671
Category: Computers
Page: 444
View: 7248
This book is a self-contained introduction to the field of numerical relativity. Starting from basic general relativity, it introduces all the concepts and tools necessary for the fully relativistic simulation of astrophysical systems with strong and dynamical gravitational fields.

    • Mathematics

Linear Functional Analysis


Author: Bryan Rynne,M.A. Youngson
Publisher: Springer Science & Business Media
ISBN: 9781848000056
Category: Mathematics
Page: 324
View: 1369
This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. A highlight of the second edition is a new chapter on the Hahn-Banach theorem and its applications to the theory of duality.

    • Science

Women and Physcis


Author: Laura McCullough
Publisher: Morgan & Claypool Publishers
ISBN: 1681742780
Category: Science
Page: 59
View: 3236
This book begins with an examination of the numbers of women in physics in English-speaking countries, moving on to examine factors that affect girls and their decision to continue in science, right through to education and on into the problems that women in physics careers face. Looking at all of these topics with one eye on the progress that the field has made in the past few years, and another on those things that we have yet to address, the book surveys the most current research as it tries to identify strategies and topics that have significant impact on issues that women have in the field.

    • Science

The Cambridge N-Body Lectures


Author: Sverre Aarseth,Christopher Tout,Rosemary Mardling
Publisher: Springer
ISBN: 1402084315
Category: Science
Page: 402
View: 7719
Published under the auspices of the Royal Astronomical Society, this volume contains a set of extensive school tested lectures, with the aim to give a coherent and thorough background knowledge of the subject and to introduce the latest developments in N-body computational astrophysics. The topics cover a wide range from the classical few-body problem with discussions of resonance, chaos and stability to realistic modelling of star clusters as well as descriptions of codes, algorithms and special hardware for N-body simulations. This collection of topics, related to the gravitational N-body problem, will prove useful to both students and researchers in years to come. 1) Published under the auspices of the Royal Astronomical Society.

    • Juvenile Nonfiction

Bathtub Science


Author: Shar Levine,Leslie Johnstone
Publisher: Sterling Publishing Company, Inc.
ISBN: 9781402740947
Category: Juvenile Nonfiction
Page: 80
View: 439
Shows how to turn a bathtub into a laboratory and perform all sorts of experiments with water, such as showing how a submarine works, finding out when water moves upward by itself, and learning how to time your bath without a watch. Reprint.

    • Business & Economics

Stochastic Calculus and Differential Equations for Physics and Finance


Author: Joseph L. McCauley
Publisher: Cambridge University Press
ISBN: 0521763401
Category: Business & Economics
Page: 220
View: 869
Provides graduate students and practitioners in physics and economics with a better understanding of stochastic processes.

    • Language Arts & Disciplines

Moving theory into practice

digital imaging for libraries and archives
Author: Anne R. Kenney,Oya Y. Rieger
Publisher: N.A
ISBN: N.A
Category: Language Arts & Disciplines
Page: 189
View: 7479

    • Fiction

Transformers: Retribution


Author: David J. Williams,Mark Williams
Publisher: Del Rey
ISBN: 0345546725
Category: Fiction
Page: 400
View: 2505
For decades, Transformers fans across the globe have marveled at the mighty clashes of Megatron and Optimus Prime, and speculated about their arrival on planet Earth. Now, in Transformers: Retribution, the prequel to the Transformers animated series, the epic odyssey of these two great warriors is finally revealed as Autobots and Decepticons battle one another . . . and the most diabolic foe they’ve ever encountered. Aboard the Ark, Optimus Prime leads his Autobots through deep space, searching for the AllSpark so vital to their home planet, Cybertron. Megatron’s not far behind, and his Decepticons are itching for war. But a mysterious planet conceals an enemy far more cunning and powerful: the Quintessons. Masters of tyranny, technology, and twisted double crosses, the Quintessons are out to enslave both Autobots and Decepticons. Their deadly bag of tricks includes fiendish trials and a secret link all the way back to Cybertron, where Shockwave is wreaking havoc with supercomputer Vector Sigma. In the coming conflagration, Star Seekers, Wreckers, Alpha Trion, and Sharkticons all have their parts to play. For none can dodge the Quintesson juggernaut of evil, and none will escape the cataclysmic life-and-death battles that will catapult Autobots and Decepticons to Earth. From the Paperback edition.

    • Mathematics

Differential Geometry and Continuum Mechanics


Author: Gui-Qiang Chen,Michael Grinfeld,R. J. Knops
Publisher: Springer
ISBN: 331918573X
Category: Mathematics
Page: 387
View: 9101
This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed.

    • Language Arts & Disciplines

The Didactics of Audiovisual Translation


Author: Jorge Díaz-Cintas
Publisher: John Benjamins Publishing
ISBN: 902721686X
Category: Language Arts & Disciplines
Page: 263
View: 8388
While complementing other volumes in the BTL series in its exploration of the state of the art of translator training, this collection of essays is solely focused on audiovisual translation, one of the most complex and dynamic areas of the translation discipline. The book offers an easily accessible yet comprehensive introduction to the fascinating subject of translating films, video games and other audiovisual material. Offering a balance between theory and practice, the main aim of this volume is to provide a wealth of teaching and learning ideas in areas such as subtitling, dubbing, and voice-over without forgetting the newer fields of subtitling for the deaf and audio description for the blind. The Didactics of Audiovisual Translation comes with an accompanying CD-Rom, highlighting its fundamentally interactive approach, and the activities proposed can be adapted to different learning environments and used with different language combinations.

    • Science

Mechanics of Machinery


Author: Mahmoud A. Mostafa
Publisher: CRC Press
ISBN: 1466559470
Category: Science
Page: 464
View: 2188
Mechanics of Machinery describes the analysis of machines, covering both the graphical and analytical methods for examining the kinematics and dynamics of mechanisms with low and high pairs. This text, developed and updated from a version published in 1973, includes analytical analysis for all topics discussed, allowing for the use of math software for fast, precise analysis. The chapters include the following: • Introduction of various mechanisms—such as four-revolute-pairs chain, double-slider, and compound mechanisms—and their motions and functions, with analytical analysis of each one • Velocities and accelerations in mechanisms, using graphical and analytical analysis • Analysis of sliding links using a theory developed by the author, which replaces the Coriolis component and is generally easier to apply • Discussion of cams, with an emphasis on factors affecting cam design, such as the pressure angle and the radius of curvature • The geometry and kinematics of a wide range of gears • Force analysis in mechanisms—namely, static force, friction force, and dynamic force analysis • Balancing machines, specifically rotating parts and reciprocating parts, as well as in-place balancing using vibration measurements A reference for both students and professionals in mechanical engineering, this informative text offers a deeper understanding of kinematics and related applications. It also supplies the fundamentals to enable readers to apply procedures to problems they may encounter in the future.

    • Technology & Engineering

Preservation of Historical Records


Author: N.A
Publisher: National Academies
ISBN: N.A
Category: Technology & Engineering
Page: 108
View: 8972
With discussion on how paper conservation procedures work, how they are put to use, and how deterioration may be prevented, this comprehensive volume examines how vast quantities of documentation can best be preserved. It provides detailed information and recommendations about various preservation methods, including mechanical copying, photographic film, magnetic recording, and optical disk recording, and on the expected useful lives of each. Also included are a method for scoring and assessing the condition of collections and a decision tree that provides a guide for orderly progress in preserving a collection of documents. Printed on permanent, acid-free paper.