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SPIRES-BOOKS: FIND KEYWORD APPLIED MECHANICS MATHEMATICS *END*INIT* use /tmp/qspiwww.webspi1/12074.6 QRY 131.225.70.96 . find keyword applied mechanics mathematics ( in books using www Cover
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Call number:9789811019265:ONLINE Show nearby items on shelf
Title:Proceedings of the 7th International Conference on Discrete Element Methods
Author(s):
Date:2017
Size:1 online resource (XLIX, 1455 p. 966 illus p.)
ISBN:9789811019265
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Computer-aided engineering , Mathematical models , Applied mathematics , Engineering mathematics , Continuum mechanics , Physics , Numerical and Computational Physics, Simulation , Appl.Mathematics/Computational Methods of Engineering , Computer-Aided Engineering (CAD, CAE) and Design , Continuum Mechanics and Mechanics of Materials , Mathematical Modeling and Industrial Mathematics
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Call number:9783319441474:ONLINE Show nearby items on shelf
Title:Classical Mechanics Hamiltonian and Lagrangian Formalism
Author(s): Alexei Deriglazov
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVI, 445 p. 53 illus p.)
Contents:Sketch of Lagrangian Formalism -- Hamiltonian Formalism -- Canonical Transformations of Two-Dimensional Phase Space -- Properties of Canonical Transformations -- Integral Invariants -- Some Mechanical Problems in a Geometric Setting
-- Transformations, Symmetries and Noether Theorem -- Hamiltonian Formalism for Singular Theories -- Classical and Quantum Relativistic Mechanics of a Spinning Particle -- Index
ISBN:9783319441474
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Applied mathematics , Engineering mathematics , Continuum mechanics , Physics , Classical Mechanics , Theoretical, Mathematical and Computational Physics , Continuum Mechanics and Mechanics of Materials , Applications of Mathematics , Appl.Mathematics/Computational Methods of Engineering
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Call number:TA350.A38::1998 Show nearby items on shelf
Title:Advances in applied mechanics. v. 34
Author(s): E.van der Giessen
Date:1998
Publisher:Academic Press, San Diego
Size:439
ISBN:0120020343
Keywords: Applied mechanics Mathematics.
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Location: MAIN

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Call number:SPRINGER-2016-9788847057739:ONLINE Show nearby items on shelf
Title:Meccanica Razionale
Author(s): Paolo Biscari
Date:2016
Edition:3a edizione
Size:1 online resource (404 p.)
Note:10.1007/978-88-470-5773-9
Contents:1 Cinematica del punto -- 2 Cinematica del corpo rigido -- 3 Cinematica relativa -- 4 Sistemi vincolati -- 5 Geometria delle masse -- 6 Forze, lavoro, potenziale -- 7 Leggi della Meccanica -- 8 Statica -- 9 Dinamica del punto materiale -- 10 Dinami ca dei sistemi -- 11 Dinamica del corpo rigido -- 12 Meccanica Relativa -- 13 Meccanica Langragiana -- 14 Statica dei continui monodimensionali -- 15 Richiami di calcolo
ISBN:9788847057739
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:UNITEXT: 93
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Mathematical physics , Mechanics , Continuum mechanics , Mathematics , Mathematical Physics , Mechanics , Applications of Mathematics , Continuum Mechanics and Mechanics of Materials
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Call number:SPRINGER-2016-9783319154312:ONLINE Show nearby items on shelf
Title:Reduced Basis Methods for Partial Differential Equations An Introduction
Author(s): Alfio Quarteroni
Date:2016
Size:1 online resource (296 p.)
Note:10.1007/978-3-319-15431-2
Contents:1 Introduction -- 2 Representative problems: analysis and (high-fidelity) approximation -- 3 Getting parameters into play -- 4 RB method: basic principle, basic properties -- 5 Construction of reduced basis spaces -- 6 Algebraic and geometrical str ucture -- 7 RB method in actions -- 8 Extension to nonaffine problems -- 9 Extension to nonlinear problems -- 10 Reduction and control: a natural interplay -- 11 Further extensions -- 12 Appendix A Elements of functional analysis
ISBN:9783319154312
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:UNITEXT: 92
Keywords: Mathematics , Partial differential equations , Mathematical models , Applied mathematics , Engineering mathematics , Fluid mechanics , Mathematics , Partial Differential Equations , Mathematical Modeling and Industrial Mathematics , Appl.Mathematics/Computational Methods of Engineering , Engineering Fluid Dynamics
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Call number:SPRINGER-2014-9783642395246:ONLINE Show nearby items on shelf
Title:Modeling and Simulation [electronic resource] : An Application-Oriented Introduction
Author(s): Hans-Joachim Bungartz
Stefan Zimmer
Martin Buchholz
Dirk Pflger
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book provides an introduction to mathematical and computer-oriented modeling and to simulation as a universal methodology. It therefore addresses various model classes and their derivations. And it demonstrates the diversityof approaches that ca n be taken: be it discrete or continuous, deterministic or stochastic. A common underlying theme throughout the book are the means in which one obtains practical simulation results from these different abstractmodels. Subsequent to a brief review of the mathematical tools that are required, the concept of the simulation pipeline, from model derivation to the simulation, is applied to 14 example scenarios from diverse fields such asGame theory - deciding - planning, Traffic on highways and data highways, Dynamical systems and Physics in the computer. Whether it is game theory or mathematical finance, traffic or control theory, populationdynamics or chaos, or molecular dynamics, continuum mechanics or computer graphics - the reader gains insight into the world of simulation in a descriptive yet systematic way
Contents:1 Introduction
2 The necessary instruments in brief
Part I Playing deciding planning: A modeling warm
up
3 Game theory
4 Group decisions
5 Schedules
6 Wiener processes
Part II Traffic on highways and data highways: A trip through the simulation pipeline
7 Macroscopic simulation of traffic
8 Microscopic simulation of traffic
9 Stochastic traffic simulations
Part III Dynamic systems: Cause, effect and interaction
10 Population dynamics
11 Controllers
12 Chaos theory
Part IV Physics on the computer: The switch to number crunchers
13 Molecula
ISBN:9783642395246
Series:eBooks
Series:SpringerLink
Series:Springer Undergraduate Texts in Mathematics and Technology, 1867-5506
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Computer science Mathematics , Computer science
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Call number:SPRINGER-2014-9783319069234:ONLINE Show nearby items on shelf
Title:Advances in Applied Mathematics [electronic resource]
Author(s): Ali R Ansari
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume contains contributions from the Gulf International Conference in Applied Mathematics, held at the Gulf University for Science & Technology. The proceedings reflects the three major themes of the conference. The firstof these was mathemati cal biology, including a keynote address by Professor Philip Maini. The second theme was computational science/numerical analysis, including a keynote address by Professor Grigorii Shishkin. The conference alsoaddressed more general applications topics, w ith papers in business applications, fluid mechanics, optimization, scheduling problems, and engineering applications, as well as a keynote by Professor Ali Nayfeh
Contents:Modelling invasive processes in biology
Modelling oxygen capillary supply to striated muscle tissues
Modeling human response to bednet promotion campaigns and its impact on malaria transmission
Computational Modelling and Optimal Control of HIV/AIDS Transmission in a Community with Substance Abuse Problem
Standard dierence scheme for a singularly perturbed convection
diusion equation in the presence of perturbations
A Higher Order Immersed Discontinuous Galerkin Finite Element Method for the Acoustic Interface Problem
A parameter uniform numerical method for a bounda
ISBN:9783319069234
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v87
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2014-9783319062303:ONLINE Show nearby items on shelf
Title:Spectral Methods for Non-Standard Eigenvalue Problems [electronic resource] : Fluid and Structural Mechanics and Beyond
Author(s): Clin-Ioan Gheorghiu
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book focuses on the constructive and practical aspects of spectral methods. It rigorously examines the most important qualities as well as drawbacks of spectral methods in the context of numerical methods devoted to solvenon-standard eigenvalue problems. In addition, the book also considers some nonlinear singularly perturbed boundary value problems along with eigenproblems obtained by their linearization around constant solutions. The book ismathematical, poising problems in their proper functi on spaces, but its emphasis is on algorithms and practical difficulties. The range of applications is quite large. High order eigenvalue problems are frequently beset with numericalill conditioning problems. The book describes a wide variety of successful modifications to standard algorithms that greatly mitigate these problems. In addition, the book makes heavy use of the concept of pseudospectrum, which ishighly relevant to understanding when disaster is imminent in solving eigenvalue problems. It also envisions two classes of applications, the stability of some elastic structures and the hydrodynamic stability of some parallel shearflows. This book is an ideal reference text for professionals (researchers) in applied mathematics, computational physics and engineering. It will be very useful to numerically sophisticated engineers, physicists and chemists. The bookcan also be used as a textbook in review courses such as numerical analysis, computational methods in various engineering branches or physics and computational methods in analysis
Contents:1 General Formulation of Spectral Approximation
2 Tau and Galerkin Methods for Fourth Order GEPs
3 The Chebyshev Collocation Method
4 The Laguerre Collocation Method
5 Conclusions and Further Developments
Appendix: Algebraic Two
Parameter Eigenvalue Problems
Index
ISBN:9783319062303
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Computer science Mathematics , Computer science , Numerical analysis
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Call number:SPRINGER-2014-9783319053110:ONLINE Show nearby items on shelf
Title:Inequalities [electronic resource] : With Applications to Engineering
Author(s): Michael J Cloud
Byron C Drachman
Leonid P Lebedev
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book offers a concise introduction to mathematical inequalities for graduate students and researchers in the fields of engineering and applied mathematics. It begins by reviewing essential facts from algebra andcalculusandproceeds with a present ation of the central inequalities of applied analysis, illustrating a wide variety of practical applications. The text provides a gentle introduction to abstract spaces, such as metric, normed, andinner product spaces. It also provides full coverage of th e central inequalities of applied analysis, such as Young's inequality, the inequality of the means, Hlder's inequality, Minkowski's inequality, the CauchySchwarzinequality, Chebyshev's inequality, Jensen's inequality, and the triangle inequality. The sec ond edition features extended coverage of applications, including continuum mechanics and interval analysis. It also includes many additionalexamples and exercises with hints and full solutions that may appeal to upper-level undergraduate and graduate stu dents, as well asresearchers in engineering, mathematics, physics, chemistry, or any other quantitative science
Contents:Preface
1. Basic Review and Elementary Facts
2. Methods from the Calculus
3. Some Standard Inequalities
4. Inequalities in Abstract Spaces
5. Some Applications
6. Inequalities for Differential Equations
7. Brief Introduction to Interval Analysis
Hints for Selected Problems
References
Appendix
ISBN:9783319053110
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions, special , Engineering mathematics
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Call number:SPRINGER-2014-9783319046754:ONLINE Show nearby items on shelf
Title:Geometry and its Applications [electronic resource]
Author(s): Vladimir Rovenski
Pawe Walczak
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume has been divided into two parts: Geometry and Applications. The geometry portion of the book relates primarily to geometric flows, laminations, integral formulae, geometry of vector fields on Lie groups, andosculation the articles in the applications portion concern some particular problems of the theory of dynamical systems, including mathematical problems of liquid flows and a study of cycles for non-dynamical systems. This Work isbased on the second international workshop entitled Geom etry and Symbolic Computations, held on May 15-18, 2013 at the University of Haifa and is dedicated to modeling (using symbolic calculations) in differential geometry and itsapplications in fields such as computer science, tomography, and mechanics. It is intended to create a forum for students and researchers in pure and applied geometry to promote discussion of modern state-of-the-art in geometricmodeling using symbolic programs such as Maple and Mathematica, as well as presentation of new results.
Contents:Part I: Geometry
The Ricci flow on some generalized Wallach spaces (N.A. Abiev, A. Arvanitoyeorgos, Y.G. Nikonorov, P. Siasos)
Gaussian mean curvature flow for submanifolds in space forms (A. Borisenko, V. Rovenski)
Cantor laminationsand exceptional minimal sets in codimension one foliations(G. Hector)
Integral formulas in foliations theory (K. Andrzejewski, P. Walczak, V. Rovenski)
On prescribing the mixed scalar curvature of a foliations (V. Rovenski, L. Zelenko)
The partial Ricci flow for foliations (V. Rovenski)
Osculation in general (P. Walczak)
On stability of
ISBN:9783319046754
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v72
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global differential geometry
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Call number:SPRINGER-2014-9783319038353:ONLINE Show nearby items on shelf
Title:Slow Viscous Flow [electronic resource]
Author(s): William E Langlois
Michel O Deville
Date:2014
Edition:2nd ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Leonardo wrote, 'Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics' replace 'Mechanics' by 'Fluid mechanics' and here we are. - from the Preface to theSecond Edition Although the ex ponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large,and turbulence in flows remains a challenging prob lem in classical physics. Like its predecessor, the revised and expanded Second Edition of this book addresses the basic principles of fluid mechanics and solves fluid flow problemswhere viscous effects are the dominant physical phenomena. Much progress h as occurred in the nearly half a century that has passed since the edition of 1964. As predicted, aspects of hydrodynamics once considered offbeat have risen toimportance. For example, the authors have worked on problems where variations in viscosity and surface tension cannot be ignored. The advent of nanotechnology has broadened interest in the hydrodynamics of thin films, and hydromagneticeffects and radiative heat transfer are routinely encountered in materials processing. This monograph develops the basic equations, in the three most important coordinate systems, in a way that makes it easy to incorporate thesephenomena into the theory. The book originally described by Prof. Langlois as a monograph on theoretical hydrodynamics, written in the languag e of applied mathematics offers considerable new coverage including the second principleof thermodynamics, Boussinesq approximation, time dependent flows, Marangoni convection, Kovasznay flow, plane periodic solutions, Hele-Shaw cells, Stokeslets, rotlets , finite element methods, Wannier flow, corner eddies, and analysisof the Stokes operator
Contents:Cartesian Tensors
The Equations of Viscous Flow
Curvilinear Coordinates
Exact Solutions to the Equations of Viscous Flow
Pipe Flow
Flow Past a Sphere
Plane Flow
Rotary Flow
Lubrication Theory
Introduction to the Finite Element Method
Variational Principle, Weak Formulation and Finite Elements
Stokes Ow and Corner Eddies
References
Index
ISBN:9783319038353
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Computer science
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Call number:SPRINGER-2014-9783319035512:ONLINE Show nearby items on shelf
Title:Soft Solids [electronic resource] : A Primer to the Theoretical Mechanics of Materials
Author(s): Alan D Freed
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors andmasters-level graduate stude nts in engineering, physics, or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics, and other fields where the mechanical response of soft solids isrelevant. Soft Solids: A Primer to the Theoretica l Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of softsolids. Part II presents two distinct theories of elasticity and their asso ciated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterizematerials. These problems are discussed at the end of each chapter, giving students the opportu nity to apply what they learned in the current chapter and to build upon the material in prior chapters
Contents:Part I: Continuum Fields
1Kinematics
2Deformation
3Strain
4Stress
Part II: Constitutive Equations
5Explicit Elasticity
6Implicit Elasticity
7Viscoelasticity
Appendices
ALinear Algebra
BCovariant and Contravariant Issues: Configuration Physics
CKronecker Products
DGeneral Linear ODE Solver
E Solver for Convolution Integrals
F Solver for the Mittag
Leer Function
Bibliography
Index
ISBN:9783319035512
Series:eBooks
Series:SpringerLink
Series:Modeling and Simulation in Science, Engineering and Technology, 2164-3679
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Biomaterials
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Call number:SPRINGER-2014-9783319018065:ONLINE Show nearby items on shelf
Title:Harmonic and Complex Analysis and its Applications [electronic resource]
Author(s): Alexander Vasil'ev
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This volume highlights the main results of the research performed within the network Harmonic and Complex Analysis and its Applications (HCAA), which was a five-year (20072012) European Science Foundation Programmeintended to explore and to strengthe n the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. Itcoordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings,potential theory, Banach spaces of analytic functions and their applications to the problem s of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveyswritten as a result of activities of the Programme and will be interesting and useful for professionals and novi ces in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader willundoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme
Contents:L.D. Abreu, H.G. Feichtinger: Function spaces of polyanalytic functions
F. Bracci, M.D. Contreras, S. Daz
Madrigal,A. Vasil'ev: Classical and stochastic Lwner
Kufarev equations
M. Elin, F. Jacobzon, M. Levenshtein, D. Shoikhet: The Schwarz Lemma. Rigidity and Dynamics
H.G. Feichtinger, M. Pap: Coorbit theory and Bergman spaces
S.J. Gardiner, T. Sjdin: Quadrature domains and their two
phase counterparts
B. Gustafsson: Exponential transforms, resultants and moments
M. Schlichenmaier: From the Virasoro Algebra to KricheverNovikov Type Algebras and Beyond
ISBN:9783319018065
Series:eBooks
Series:SpringerLink
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Functional analysis , Functions of complex variables , Potential theory (Mathematics)
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Call number:SPRINGER-2014-9781461486152:ONLINE Show nearby items on shelf
Title:Constructive Nonsmooth Analysis and Related Topics [electronic resource]
Author(s): Vladimir F Demyanov
Panos M Pardalos
Mikhail Batsyn
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. Thisconference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whosecontributions to NSA and NDO remain invaluable. The first f our chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 arerelated to nondifferentiable optimization, and the volume concludes with four ch apters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization:Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and imp ortant snapshots of the 50-year history of convex analysis and optimization
Contents:Constructive Noonsmooth Analysis and Related Topics (V. Demyanov, P.M. Pardalos, M. Batsyn)
Use Model Theory in Nonsmooth Analysis (S.S. Kutateladze)
Demyanov Difference in Infinite Dimensional Spaces (J. Grzybowski, D. Pallaschke, R. Urbanski)
Separable Reduction of Metric Regularity Properties (A.D. Ioffe)
Construction of Pairs of Reproducing Kernel Banach Spaces (P.G. Georgiev, L. Sanchez
Gonzalez, P.M. Pardalos)
On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities (N. Ovcharova, J. Gwinner)
Dynamics and Optimization of Mul
ISBN:9781461486152
Series:eBooks
Series:SpringerLink
Series:Springer Optimization and Its Applications, 1931-6828 : v87
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Algorithms , Computer science , Mathematical optimization
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Call number:SPRINGER-2014-9780817648299:ONLINE Show nearby items on shelf
Title:The Theory of the Top. Volume IV [electronic resource] : Technical Applications of the Theory of the Top
Author(s): Felix Klein
Arnold Sommerfeld
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:The Theory of the Top. Volume IV.Technical Applications of the Theory of the Top is thefourthand final volume ina series of self-contained English translations of the classic and definitive treatment of rigid body motion.Key features: * Complete and unabridged presentation with recent advances and additional notes * Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century * Each volumeinterweaves theory and applications. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Gttingen University that was broadened in scope and clarified as a result of collaboration with ArnoldSommerfeld. Graduate students and researchers interested in theoretical and applied mechan ics will find this series of books a thorough and insightful account. Other volumes in the series includeIntroduction to the Kinematics andKinetics of the Top, Development of the Theory in the Case of the Heavy Symmetric Top, and Perturbations. Astronomic al and Geophysical Applications
ISBN:9780817648299
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical physics , Mechanics
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Call number:SPRINGER-2013-9783642395109:ONLINE Show nearby items on shelf
Title:Physique des coulements Continus [electronic resource]
Author(s): Jean-Paul Caltagirone
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:La mcanique des fluides est aborde sous deux points de vue, physique et mathmatique. Les bases de la mcanique des milieux continus sont d'abord prsentes en dtail en prcisant les hypothses et approximations quiconduisent aux lois de conservation. Les outils d'analyse des quations gnrales, tude en ordres de grandeurs, analyse adimensionnelle et similitude, permettent ensuite d'introduire les approximations de fluide parfait d'Euler,de fluides visqueux en rgime de Stokes et de la couche limite de Prandt l. Les notions de stabilit des coulements, de turbulence et les coulements compressibles sont ensuite prsents. Les coulements multiphysiques ouvrentdes perspectives pour la recherche et le traitement d'applications complexes. In this book, fluid mechanics is addressed from both physical and mathematical perspectives. As a first step, the basic theory of continuum mechanics isdetailed, pointing out the different assumptions and approximations that lead to conservation laws. As a second step, scaling studie s, dimensional analysis and similitude of the general equations help to introduce the inviscid Eulerfluid approximation, the Stokes approximation of viscous flow and Prandtlsboundary layer approximation. Lastly, the concepts of stability, turbulence and c ompressible flows are presented. Multiphysics approach of flows willprovide readers with deeper insights into basic and applied research on complex processing
Note:Springer eBooks
Contents:Gnralits
quations de conservation
Proprits gnrales des quations
Solutions exactes des quations de Navier
Stokes
Dynamique des fluides parfaits
Re
Approximation de Stokes
Re0
La couche limite
e =d /L0
Stabilit, chaos
Turbulence
Les coulements compressibles
Multiphysique
Index.
ISBN:9783642395109
Series:e-books
Series:SpringerLink (Online service)
Series:Mathmatiques et Applications, 1154-483X : v74
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2013-9783642365195:ONLINE Show nearby items on shelf
Title:Mixed Finite Element Methods and Applications [electronic resource]
Author(s): Daniele Boffi
Franco Brezzi
Michel Fortin
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation,then moving on to form ulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. Thisbookalso provides an introduction to standard finite element approximations, followedby the construction of elements for the approx imation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity andelectromagnetism
Note:Springer eBooks
Contents:Preface
Variational Formulations and Finite Element Methods
Function Spaces and Finite Element Approximations
Algebraic Aspects of Saddle Point Problems
Saddle Point Problems in Hilbert spaces
Approximation of Saddle Point Problems
Complements: Stabilisation Methods, Eigenvalue Problems
Mixed Methods for Elliptic Problems
Incompressible Materials and Flow Problems
Complements on Elasticity Problems
Complements on Plate Problems
Mixed Finite Elements for Electromagnetic Problems
Index.
ISBN:9783642365195
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Computational Mathematics, 0179-3632 : v44
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Computer science , Mechanics, applied
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Call number:SPRINGER-2013-9783642357985:ONLINE Show nearby items on shelf
Title:Einstein in Matrix Form [electronic resource] : Exact Derivation of the Theory of Special and General Relativity without Tensors
Author(s): Gnter Ludyk
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is an introduction to the theories of Special and General Relativity. The target audience are physicists, engineers and applied scientists who are looking for an understandable introduction to the topic - without toomuch new mathematics. Th e fundamental equations of Einsteins theory of Special and General Relativity are derived using matrix calculus, without the help of tensors. This feature makes the book special and a valuable tool forscientists and engineers with no experience in the fie ld of tensor calculus. In part I the foundations of Special Relativity are developed, part II describes the structure and principle of General Relativity. Part III explains theSchwarzschild solution of spherical body gravity and examines the Black Hole ph enomenon. Any necessary mathematical tools are user friendly provided, either directly in the text or in the appendices
Note:Springer eBooks
Contents:From the Contents: Special Relativity
The Galilei Transformation
The Lorentz Transformation
The Invariance of Quadratic Forms
Velocity Addition
Lorentz Transformation of Velocities
Lorentz Transformation of Impulses
Acceleration and Force
Relativistic Electrodynamics
Energy Momentum Matrix
General Relativity
General Relativity and Riemannian Geometry
ISBN:9783642357985
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Mechanics , Mechanics, applied
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Call number:SPRINGER-2013-9783642332876:ONLINE Show nearby items on shelf
Title:The Finite Element Method: Theory, Implementation, and Applications [electronic resource]
Author(s): Mats G Larson
Fredrik Bengzon
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlyingmathematical principl es, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functionalanalysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessaryconcepts from more advanced analysis are introduced when needed. Thro ughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numericalsoftware MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion andtransport phenomena, solid and fluid mechanics, and also electromagnetics.
Note:Springer eBooks
Contents:1. Piecewise Polynomial Approximation in 1D
2. The Finite Element Method in 1D
3. Piecewise Polynomial Approximation in 2D
4. The Finite Element Method in 2D
5. Time
dependent Problems
6. Solving Large Sparse Linear Systems
7. Abstract Finite Element Analysis
8. The Finite Element
9. Non
linear Problems
10. Transport Problems
11. Solid Mechanics
12. Fluid Mechanics
13. Electromagnetics
14. Discontinuous Galerkin Methods
A. Some Additional Matlab Code
References
ISBN:9783642332876
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Computational Science and Engineering, 1611-0994 : v10
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer aided design , Differential equations, partial , Computer science Mathematics , Computer science , Mechanics, applied
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Call number:SPRINGER-2013-9781461482864:ONLINE Show nearby items on shelf
Title:Estimation and Control Problems for Stochastic Partial Differential Equations [electronic resource]
Author(s): Pavel S Knopov
Olena N Deriyeva
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partialdifferential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents researchthat has not previously been covered. More g enerally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes inturbulence theory, fluid mechanics, hydrology, astronomy, and meteo rology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to appliedmathematicians who use probability and statistical methods in the selection of useful signals s ubject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monographcan be used for education courses on the estimation and control theory of random fields
Note:Springer eBooks
Contents:1. Two Parameter Martingales and Their Properties
2. Stochastic Differential Equations on the Plane
3. Filtration and Prediction Problems for Stochastic Fields
4. Control Problem for Diffusion
Type Random Fields
5. Stochastic Processes in a Hilbert Space
References
ISBN:9781461482864
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v83
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Systems theory , Mathematical optimization
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Call number:SPRINGER-2013-9781461478676:ONLINE Show nearby items on shelf
Title:Introduction to Tensor Analysis and the Calculus of Moving Surfaces [electronic resource]
Author(s): Pavel Grinfeld
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This text is meant to deepen its readers understanding of vector calculus, differential geometry and related subjects in applied mathematics. Designed for advanced undergraduate and graduate students, this text invites itsaudience to take a fresh loo k at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shapeoptimization, boundary perturbation, and dynamic fluid film equations. Tensor calculus is a powerful tool that combines the geometric and analytical perspectives and enables us to take full advantage of the computational utility ofcoordinate systems. The tensor approach can be of benefit to members of all te chnical sciences including mathematics and all engineering disciplines. If calculus and linear algebra are central to the readers scientific endeavors,tensor calculus is indispensable. The language of tensors, originally championed by Einstein, is as fund amental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensortechnique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably v ital and relevant. The authors skilled lecturing capabilities are evident by the inclusion ofinsightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the prop er use of the tensor notation, and the discussion of the interplaybetween algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 when the reader is ready for it. While this text main tains a reasonable level of rigor, it takesgreat care to avoid formalizing the subject. The last part of the textbook is devoted to the calculus of moving surfaces. It is the first textboo
Note:Springer eBooks
Contents:Preface
Why Tensor Calculus?
1. Rules of the Game
2. Coordinate Systems and the Role of Tensor Calculus
3. Change of Coordinates
4. Tensor Description of Euclidean Spaces
5. The Tensor Property
6. Covariant Differentiation
7. Determinants and the Levi
Civita Symbol
8. Tensor Description of Surfaces
9. Covariant Derivative of Tensors with Surface Indices
10. The Curvature Tensor
11. Covariant Derivative of Tensors with Spatial Indices
12. Integration and Gauss's Theorem
13. Intrinsic Features of Embedded Surfaces
14. Further Topics in Differential Ge
ISBN:9781461478676
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Global differential geometry , Mathematical optimization
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Call number:SPRINGER-2013-9781461478256:ONLINE Show nearby items on shelf
Title:Lecture Notes on Newtonian Mechanics [electronic resource] : Lessons from Modern Concepts
Author(s): Ilya L Shapiro
Guilherme de Berredo-Peixoto
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:One could make the claim that all branches of physics are basically generalizations of classical mechanics. It is also often the first course which is taught to physics students. The approach of this book is to construct anintermediate discipline bet ween general courses of physics and analytical mechanics, using more sophisticated mathematical tools. The aim of this book is to prepare a self-consistent and compact text that is very useful for teachers aswell as for independent study
Note:Springer eBooks
Contents:From the Content: Part I: Kinematics
Kinematics of a Particle
Movement of a Particle at the Moving Basis
Polar Coordinates in the Plane, Cylindrical and Spherical Coordinates in Space
Part II: Newtons Laws
Inertial Frame
Newtons Second Law
Brief Classification of Forces in Mechanics
Conservation of Momentum for the Systems of Particles
Linear Momentum
Problem of Two Bodies
Work of the Force and Conservative Forces
Energy Conservation
Particle in the Potential Force Field
Conservation of Mechanical Energy in Closed Systems
Kinetic Energy in Dif
ISBN:9781461478256
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Lecture Notes in Physics, 2192-4791
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mechanics , Mechanics, applied
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Call number:SPRINGER-2013-9781461473855:ONLINE Show nearby items on shelf
Title:Bounded Noises in Physics, Biology, and Engineering [electronic resource]
Author(s): Alberto d'Onofrio
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by itsinteraction with the ex ternal world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volumedevoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology,and mathematical physics.It gives an overview of the currentstate-of-the-art and isintended to stimulatefurther research. The volumeis organized in four parts. The first part presents the main kinds of bounded noises andtheir applications in theoretical physics. The theory of bounded stochastic pro cesses is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory fromits physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one ofthe major areas of potential applications of this subject. The final part concerns the application of bounded stochasti c processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian boundednoises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the poi nt of view of contemporary nonlinear analysis. Bounded Noises in Physics, Biology, andEngineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications.It will appeal to a broad range of a pplied mathematicians, mathematical biologists, physicists,engineers, and researchers in other fields interested in complexity theory. Itis accessible to anyonewith a working knowl
Note:Springer eBooks
Contents:Introduction
Part I : Modeling of Bounded Noises and Their Applications in Physics
On Bounded Stochastic Processes
Dynamics of Systems With Randomly Disordered Periodic Excitations
Noise
Induced Phenomena: Effects of Noises Based on Tsallis Statistics
Dynamical Systems Driven by Dichotomous Noise
Stochastic Oscillator : Brownian Motion With Adhesion
Numerical Study of Energetic Stability For Harmonic Oscillator With Fluctuating Damping Parameter
A Moment
Based Approach to Bounded Non
Gaussian Colored Noise
Spatiotemporal Bounded Noises, and Their Application to the
ISBN:9781461473855
Series:e-books
Series:SpringerLink (Online service)
Series:Modeling and Simulation in Science, Engineering and Technology, 2164-3679
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Engineering mathematics
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Call number:SPRINGER-2013-9781461460121:ONLINE Show nearby items on shelf
Title:Linear Integral Equations [electronic resource] : Theory & Technique
Author(s): Ram P Kanwal
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. Such problems abound in applied mathematics, theoretical mechanics, and mathematicalphysics.Thisuncorrectedso ftcover reprint of the second edition places the emphasis onapplications and presents a variety of techniques with extensive examples. Originally published in1971,Linear Integral Equationsis idealas atext for a beginning graduate level course. Its treatme nt of boundary value problemsalso makesthe bookuseful to researchersin many applied fields
Note:Springer eBooks
Contents:Introduction
Integral Equations with Separable Kernels
Method Of Successive Approximations
Classical Fredholm Theory
Applications of Ordinary Differential Equations
Applications of Partial Differential Equations
Symmetric Kernels
Singular Integral Equations
Integral Transformation Methods
Applications to Mixed Boundary Value Problems
Integral Equations Perturbation Methods
Appendix
Bibliography
Index
ISBN:9781461460121
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Integral equations , Integral Transforms , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2013-9781461459408:ONLINE Show nearby items on shelf
Title:Plasticity [electronic resource] : Mathematical Theory and Numerical Analysis
Author(s): Weimin Han
B. Daya Reddy
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It isdivided into three parts, wi th the first part providing a detailed introduction to plasticity, the second part covering the mathematical analysis of the elasticity problem, and the third part devoted to error analysis of varioussemi-discrete and fully discrete approximations for var iational formulations of the elastoplasticity. This revised and expanded edition includes material on single-crystal and strain-gradient plasticity. In addition, the entire bookhas been revised to make it more accessible to readers who are actively involv ed in computations but less so in numerical analysis. Reviews of earlier edition: The authors have written an excellent book which can berecommended for specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics ofplasticity theory. (ZAMM, 2002) In summary, the book represents an impressive comprehensive overview of the mathematical approach to the theor y and numerics of plasticity. Scientists as well as lecturers and graduate studentswill find the book very useful as a reference for research or for preparing courses in this field. (Technische Mechanik) The book is professionally written and will be a us eful reference to researchers and students interested inmathematical and numerical problems of plasticity. It represents a major contribution in the area of continuum mechanics and numerical analysis. (Math Reviews)
Note:Springer eBooks
Contents:Preface to the Second Edition
Preface to the First Edition
Preliminaries
Continuum Mechanics and Linearized Elasticity
Elastoplastic Media
The Plastic Flow Law in a Convex
Analytic Setting
Basics of Functional Analysis and Function Spaces
Variational Equations and Inequalities
The Primal Variational Problem of Elastoplasticity
The Dual Variational Problem of Classical Elastoplasticity
Introduction to Finite Element Analysis
Approximation of Variational Problems
Approximations of the Abstract Problem
Numerical Analysis of the Primal Problem
References
ISBN:9781461459408
Series:e-books
Series:SpringerLink (Online service)
Series:Interdisciplinary Applied Mathematics, 0939-6047 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Mechanics, applied , Materials
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Call number:SPRINGER-2013-9781461458685:ONLINE Show nearby items on shelf
Title:Functional Analysis in Mechanics [electronic resource]
Author(s): Leonid P Lebedev
Iosif I Vorovich
Michael J Cloud
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract butpowerful mathematical not ions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects. This second edition includes more extended coverage of the classical andabstract portions of functional analysis. Taken togethe r, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exerciseswith hints and solutions. A new appendix, providing a convenient listing of e ssential inequalities and imbedding results, has been added. The book should appeal to graduate students and researchers in physics, engineering, andapplied mathematics. Reviews of first edition: This book covers functional analysis and its application s to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics whowish to understand the mathematical underpinnings of the discipline. . . . Detailed solutions of the exercises are provided in an app endix. (LEnseignment Mathematique, Vol. 49 (1-2), 2003) The reader comes away with aprofound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood.Numerous exercises. . .test the readers comprehension at every stage. Summing Up: Recommended. (F. E. J. Linton, Choice, September, 2003)
Note:Springer eBooks
Contents:Introduction
Metric, Banach, and Hilbert Spaces
Mechanics Problems from the Functional Analysis Viewpoint
Some Spectral Problems of Mechanics
Elements of Nonlinear Functional Analysis
Summary of Inequalities and Imbeddings
Hints for Selected Problems
References
In Memoriam: Iosif I. Vorovich
Index
ISBN:9781461458685
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Mechanics , Materials
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Call number:SPRINGER-2013-9781461442950:ONLINE Show nearby items on shelf
Title:Plasma Astrophysics, Part II [electronic resource] : Reconnection and Flares
Author(s): Boris V Somov
Date:2013
Edition:Second
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This two-part book is devoted to classic fundamentals and current practices and perspectives of modern plasma astrophysics. This second part discusses the physics of magnetic reconnection and flares of electromagnetic origin inspace plasmas in the so lar system, single and double stars, relativistic objects, accretion disks and their coronae. More than 25% of the text is updated from the first edition, including the additions of new figures, equations andentire sections on topics such as topological t riggers for solar flares and the magnetospheric physics problem. This book is aimed at professional researchers in astrophysics, but it will also be useful to graduate students in spacesciences, geophysics, applied physics and mathematics, especially thos e seeking a unified view of plasma physics and fluid mechanics
Note:Springer eBooks
Contents:From the Contents: Magnetic Reconnection
Reconnection in a Strong Magnetic Field
Evidence of Reconnection in Solar Flares
Reconnection in Action
The Bastille Day 2000 Solar Flare
Electric Currents Related to Reconnection
Models of Reconnecting Current Layers
Collapsing Magnetic Traps in Solar Flares
Solar
type Flares in Laboratory and Space
Particle Acceleration in Current Layers
ISBN:9781461442950
Series:e-books
Series:SpringerLink (Online service)
Series:Astrophysics and Space Science Library, 0067-0057 : v392
Series:Physics and Astronomy (Springer-11651)
Keywords: Astrophysics
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Call number:SPRINGER-2013-9781461442325:ONLINE Show nearby items on shelf
Title:Nonlinear Inclusions and Hemivariational Inequalities [electronic resource] : Models and Analysis of Contact Problems
Author(s): Stanisaw Migrski
Anna Ochal
Mircea Sofonea
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:Nonlinear Inclusions and Hemivariational Inequalities presents a broad insight into the theory of inclusions, hemivariational inequalities, and their applications to Contact Mechanics. The content of this volume gathers recentresults which are publis hed here for the first time and gives a largely self-contained and rigorous introduction to mathematical analysis of contact problems. The book will be of particular interest to students and young researchers inapplied and pure mathematics, civil, aeronau tical and mechanical engineering, and may also prove suitable as a supplementary text for an advanced one or two semester specialized course in mathematical modeling. This book introducesthe reader the theory of nonlinear inclusions and hemivariational i nequalities with emphasis on the study of Contact Mechanics. It covers both abstract existence and uniqueness results as well as the study of specific contact problems,including their modeling and variational analysis. New mathematical methods are introdu ced and applied in the study of nonlinear problems, which describe the contact between a deformable body and a foundation. The text is dividedinto three parts. Part I, entitled Background of Functional Analysis, gives an overview of nonlinear and functio nal analysis, function spaces, and calculus of nonsmooth operators. The material presented may be useful to students andresearchers from a broad range of mathematics and mathematical disciplines. Part II concerns Nonlinear Inclusions and Hemivariational I nequalities and is the core of the text in terms of theory. Part III, entitled Modeling and Analysisof Contact Problems shows applications of theory in static and dynamic contact problems with deformable bodies, where the material behavior is modeled with both elastic and viscoelastic constitutive laws. Particular attention is paidto the study of contact problems with piezoelectric materials. Bibliographical notes presented at the end of each part a
Note:Springer eBooks
Contents:Preface
List of Symbols
1. Preliminaries
2. Function Spaces
3. Elements of Nonlinear Analysis
4. Stationary Inclusions and Hemivariational Inequalities
5. Evolutionary Inclusions and Hemivarational Inequalities
6. Modeling of Contact Problems
7. Analysis of Static Contact Problems
8. Analysis of Dynamic Contact Problems
Bibliographic Notes
References
Index
ISBN:9781461442325
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v26
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Mechanics
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Call number:SPRINGER-2013-9781447148203:ONLINE Show nearby items on shelf
Title:Functional Analysis, Calculus of Variations and Optimal Control [electronic resource]
Author(s): Francis Clarke
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such asnonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis andincludes many novel elements as well as the stan dard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. Theauthor provides a comprehensive course on these subjects, from their inc eption through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximumprinciple, which appear here for the first time in a textbook. Other major themes include existen ce and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscositysolutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They a lso touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering.Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or secon d-year graduate level, on functional analysis, on the calculus of variations and optimalcontrol, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its ad vanced results in the calculus of variations and optimal control,its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth a
Note:Springer eBooks
Contents:Normed Spaces
Convex sets and functions
Weak topologies
Convex analysis
Banach spaces
Lebesgue spaces
Hilbert spaces
Additional exercises for Part I
Optimization and multipliers
Generalized gradients
Proximal analysis
Invariance and monotonicity
Additional exercises for Part II
The classical theory
Nonsmooth extremals
Absolutely continuous solutions
The multiplier rule
Nonsmooth Lagrangians
Hamilton
Jacobi methods
Additional exercises for Part III
Multiple integrals
Necessary conditions
Existence and regularity
Inductive meth
ISBN:9781447148203
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v264
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Systems theory , Mathematical optimization
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Call number:SPRINGER-2012-9783642321023:ONLINE Show nearby items on shelf
Title:Nonlinear Flow Phenomena and Homotopy Analysis [electronic resource] : Fluid Flow and Heat Transfer
Author(s): Kuppalapalle Vajravelu
Robert A Gorder
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often fail when used forproblems with strong nonlinearity. Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer presents the current theoretical developments of the analytical method of homotopy analysis. This book not onlyaddresses the theoretical framework for the method, b ut also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed bynonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering. Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA
Note:Springer eBooks
Contents:Part I: Theoretical Considerations
Principles of the Homotopy Analysis Method
Methods for the Control of Convergence in Obtained Solutions
Additional Techniques. Part II: Applications to Physical Problems
Application of the Homotopy Analysis Method to Fluid Flow Problems
Application of the Homotopy Analysis Method to Heat Transfer Problems
Application of the Homotopy Analysis Method to More Advanced Problems
ISBN:9783642321023
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial , Computer science Mathematics , Computer science , Hydraulic engineering
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Call number:SPRINGER-2012-9783642273438:ONLINE Show nearby items on shelf
Title:New Developments in the Visualization and Processing of Tensor Fields [electronic resource]
Author(s): David H Laidlaw
Anna Vilanova
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated thisedited volume was the t hird in the successful Dagstuhl series. Its aim, reflected in the quality and relevance of the papers presented, was to foster collaboration and fresh lines of inquiry in the analysis and visualization of tensorfields, which offer a concise model for nume rous physical phenomena. Despite their utility, there remains a dearth of methods for studying all but the simplest ones, a shortage the workshops aim to address. Documenting the latestprogress and open research questions in tensor field analysis, the ch apters reflect the excitement and inspiration generated by this latest Dagstuhl workshop, held in July 2009. The topics they address range from applications of theanalysis of tensor fields to purer research into their mathematical and analytical propertie s. They show how cooperation and the sharing of ideas and data between those engaged in pure and applied research can open new vistas in thestudy of tensor fields
Note:Springer eBooks
Contents:Part I Structure
Tensor Computation
Part II Tensor
Field Visualization
Part III Applications of Tensor
Field Analysis and Visualization
Part IV Diffusion Weighted MRI Visualization
Part V Beyond Second
Order Diffusion Tensor MRI
Part VI Tensor Metrics
Part VII Tensor Analysis
ISBN:9783642273438
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Visualization, 1612-3786
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Computer graphics , Visualization
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Call number:SPRINGER-2012-9783642273056:ONLINE Show nearby items on shelf
Title:Complex Hamiltonian Dynamics [electronic resource]
Author(s): Tassos Bountis
Haris Skokos
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:This book introduces and explores modern developments in the well established field of Hamiltonian dynamical systems. It focuses on high degree-of-freedom systems and the transitional regimes between regular and chaotic motion.The role of nonlinear n ormal modes is highlighted and the importance of low-dimensional tori in the resolution of the famous FPU paradox is emphasized. Novel powerful numerical methods are used to study localization phenomena anddistinguish order from strongly and weakly chaoti c regimes. The emerging hierarchy of complex structures in such regimes gives rise to particularly long-lived patterns and phenomena called quasi-stationary states, which are explored inparticular in the concrete setting of one-dimensional Hamiltonian lat tices and physical applications in condensed matter systems. The self-contained and pedagogical approach is blended with a unique balance between mathematicalrigor, physics insights and concrete applications. End of chapter exercises and (more demanding) research oriented problems provide many opportunities to deepen the readers insights into specific aspects of the subject matter. Addressing a broad audience of graduate students, theoretical physicists and applied mathematicians, this text combines the b enefits of a reference work with those of a self-study guide for newcomers to the field
Note:Springer eBooks
Contents:Hamiltonian Systems of Few Degrees of Freedom
Equilibrium Points, Periodic Orbits and Local Stability
Efficient Indicators of Stable and Chaotic Motion
FPU Recurrences and the Transition from Weak to Strong Chaos
Localization and Diffusion in Nonlinear 1
Dimensional Lattices
The Statistical Mechanics of Quasi
Stationary States
Conclusion, Open Problems and Future Outlook
ISBN:9783642273056
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Synergetics, 0172-7389 : v10
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics , Mechanics , Engineering
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Call number:SPRINGER-2012-9783642251320:ONLINE Show nearby items on shelf
Title:Homotopy Analysis Method in Nonlinear Differential Equations [electronic resource]
Author(s): Shijun Liao
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Homotopy Analysis Method in Nonlinear Differential Equations presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM).Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all,it provides a convenient way to guarantee the converg ence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0for nonlinear boundary-value problems and its applications. Part III shows the v alidity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a numberof nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are free ly available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers andpostgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering. Dr. Shijun Liao, a distinguished professo r of Shanghai Jiaotong University, is a pioneer of the HAM.
Note:Springer eBooks
Contents:Basic Ideas
Systematic Descriptions
Advanced Approaches
Convergent Series For Divergent Taylor Series
Nonlinear Initial Value Problems
Nonlinear Eigenvalue Problems
Nonlinear Problems In Heat Transfer
Nonlinear Problems With Free Or Moving Boundary
Steady
State Similarity Boundary
Layer Flows
Unsteady Similarity Boundary
Layer Flows
Non
Similarity Boundary
Layer Flows
Applications In Numerical Methods
ISBN:9783642251320
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial , Engineering mathematics
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Call number:SPRINGER-2012-9783642225970:ONLINE Show nearby items on shelf
Title:Topics in Noncommutative Algebra [electronic resource] : The Theorem of Campbell, Baker, Hausdorff and Dynkin
Author(s): Andrea Bonfiglioli
Roberta Fulci
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, NumericalAnalysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: 1) fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra ornot) to understand and apply the statements and numero us corollaries of the main result 2) provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view andnotation 3) provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincar, Pascal, Campbell, Baker, Hausdorff and Dynkin 4) give an outlook on theapplications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) 5 ) quickly enable the reader, through a description of the state-of-art and open problems, to understand the modernliterature concerning a theorem which, though having its roots in the beginning of the20th century, has not ceased to provide new problems an d applications. The book assumes some undergraduate-level knowledge of algebra and analysis,but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool fo r beginners in Algebra
Note:Springer eBooks
Contents:1 Historical Overview
Part I Algebraic Proofs of the CBHD Theorem
2 Background Algebra
3 The Main Proof of the CBHD Theorem
4 Some Short Proofs of the CBHD Theorem
5 Convergence and Associativity for the CBHD Theorem
6 CBHD, PBW and the Free Lie Algebras
Part II Proofs of the Algebraic Prerequisites
7 Proofs of the Algebraic Prerequisites
8 Construction of Free Lie Algebras
9 Formal Power Series in One Indeterminate
10 Symmetric Algebra
ISBN:9783642225970
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2034
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry
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Call number:SPRINGER-2012-9783642224614:ONLINE Show nearby items on shelf
Title:Discontinuous Dynamical Systems [electronic resource]
Author(s): Albert C. J Luo
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Discontinuous Dynamical Systems presents a theory of dynamics and flow switchability in discontinuous dynamical systems, which can be as the mathematical foundation for a new dynamics of dynamical system networks. The bookincludes a theory for flow b arriers and passability to boundaries in discontinuous dynamical systems that will completely change traditional concepts and ideas in the field of dynamical systems. Edge dynamics and switching complexityof flows in discontinuous dynamical systems are ex plored in the book and provide the mathematical basis for developing the attractive network channels in dynamical systems. The theory of bouncing flows to boundaries, edges and vertexesin discontinuous dynamical systems with multi-valued vector fields is described in the book as a billiard theory of dynamical system networks. The theory of dynamical system interactions in discontinued dynamical systems can beused as a general principle in dynamical system networks, which is applied to dynamical system syn chronization. The book represents a valuable reference work for university professors and researchers in applied mathematics, physics,mechanics, and control. Dr. Albert C.J. Luo is an internationally respected professor in nonlinear dynamics and mechanic s, and he works at Southern Illinois University Edwardsville, USA
Note:Springer eBooks
Contents:Introduction
Introduction to Flow Passability
Singularity and Flow Passability
Flow Barriers and Switchability
Transport Laws and Multi
valued Vector Fields
Switchability and Attractivity of Domain Flows
Dynamics and Singularity of Boundary Flows
Edge Dynamics and Switching Complexity
Dynamical System Interactions
ISBN:9783642224614
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Vibration
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Call number:SPRINGER-2012-9783642172342:ONLINE Show nearby items on shelf
Title:Mechanics [electronic resource] : An Intensive Course
Author(s): Masud Chaichian
Ioan Merches
Anca Tureanu
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:Mechanics is one of the oldest and at the same time newest disciplines, in the sense that there are methods and principles developed first in mechanics but now widely used in almost all branches of physics: electrodynamics,quantum mechanics, classica l and quantum field theory, special and general theory of relativity, etc. More than that, there are some formalisms like Lagrangian and Hamiltonian approaches, which represent the key stone for thedevelopment of the above-mentioned disciplines. During th e last 20-25 years, classical mechanics has undergone an important revival associated with the progress in non-linear dynamics, applications of Noethers theorem and theextension of variational principles in various interdisciplinary sciences (for instance , magnetofluid dynamics). Thus, there ought to exist a book concerned with the applied analytical formalism, first developed in the frame oftheoretical mechanics, which has proved to be one of the most efficient tools of investigation in the entire arena of science. The present book is an outcome of the authors teaching experience over many years in different countriesand for different students studying diverse fields of physics. The book is intended for students at the level of undergraduate and graduate studies in physics, engineering, astronomy, applied mathematics and for researchers working inrelated subjects. We hope that the original presentation and the distribution of the topics, the various applications in many branches of physics and the set of more than 100 proposed problems, shall make this book a comprehensiveand useful tool for students and researchers
Note:Springer eBooks
Contents:Foundations of Newtonian Mechanics
The Principles of Analytical Mechanics
Applications of the Lagrangian Formalism in the Study of Discrete Particle Systems
Rigid Body Mechanics
Hamiltonian Formalism
Mechanics of Continuous Deformable Media
Addendum: Post
Classical Mechanics
ISBN:9783642172342
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Mathematical physics , Mechanics , Engineering mathematics
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Call number:SPRINGER-2012-9783034804172:ONLINE Show nearby items on shelf
Title:Advances in Applied Analysis [electronic resource]
Author(s): Sergei V Rogosin
Anna A Koroleva
Date:2012
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
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Note:This book contains survey papers based on the lectures presented at the 3rd International Winter School Modern Problems of Mathematics and Mechanics held in January 2010 at the Belarusian State University, Minsk. Theselectures are devoted to differen t problems of modern analysis and its applications. An extended presentation of modern problems of applied analysis will enable the reader to get familiar with new approaches of mostly interdisciplinarycharacter. The results discussed are application orie nted and present new insight into applied problems of growing importance such as applications to composite materials, anomalous diffusion, and fluid dynamics
Note:Springer eBooks
Contents:Introduction
Kisil, Vladimir V.: Erlangen Program at Large: Brief Outline
Laurincikas, A.: The Riemann zeta
function: approximation of analytic functions
Luchko, Yury: Anomalous diffusion: models, their analysis, and interpretation
Mityushev, Vladimir, V.: R
linear and Riemann
Hilbert problems for multiply connected domains
Plaksa, S. A.: Commutative algebras associated with classic equations of mathematical physics
Rogosin, Sergei V.: 2D Free Boundary Value Problems
ISBN:9783034804172
Series:e-books
Series:SpringerLink (Online service)
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions of complex variables , Differential equations, partial , Number theory
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Call number:SPRINGER-2012-9781848823679:ONLINE Show nearby items on shelf
Title:Falling Liquid Films [electronic resource]
Author(s): S Kalliadasis
C Ruyer-Quil
B Scheid
M. G Velarde
Date:2012
Publisher:London : Springer London
Size:1 online resource
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Note:Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down aplanar inclined substrate . This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It willalso be of use for a more general understanding o f specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence. Particular emphasis is given to low-dimensional approximations for such flowsthrough a hierarchy of modeling approaches, including equations of the b oundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experimentis illustrated, and, as a further bridge between the two, the development of order-of-magnit ude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics. This monograph will appeal toadvanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mec hanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on bothapplied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes i nvolving isothermal or heated films. This monograph is largely self-contained and nobackground on interfacial fluid mechanics is assumed
Note:Springer eBooks
Contents:Introduction
Flow and heat transfer
Primary instability
Boundary layer approximation
Methodologies for low Re flows
Methodologies for moderate Re flows
Isothermal case: 2D flow
Isothermal case: 3D flow
Interaction of 3D solitary waves
Heated films
Reactive films
Open questions and suggestions for further research
ISBN:9781848823679
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v176
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Visualization , Engineering mathematics
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Call number:SPRINGER-2012-9781461439783:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Applied Mechanics and Mechatronics
Author(s): Jan Awrejcewicz
Zbigniew Koruba
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:This isthe final volume of a triad of works by Jan Awrejcewicz (this third book with Zbigniew Koruba) devoted to classical mechanics. Classical Mechanics: Mechanics and Mechatronics presents a unique approach to studyingmechanical and electromagnetic processes occurring in applied mechanics and mechatronics with emphasis on theory, modeling, and analysis and control of gyropscopic devices, including military applications. This volume address a widespectrum of graduate students, postgraduate students, researchers, and instructors from the field of mechanics, this volume, and has a strong focus on advanced applications that will be of particular use and interest to engineers anddesigners practicing in the mechanical/mechatronic industry. Chapter 1 deal s with dynamics in mechatronic systems. Dynamics of a rigid spherical body is studied in Chapter 2 with emphasis on applications. Chapters 3 and 4 arededicated to the theory, evolution, and dynamics and control of the gyroscope and Chapter 5 focuses on gy roscopic control in the self-guidance systems of flying objects
Note:Springer eBooks
Contents:Preface
List of Symbols
1. Dynamics in Mechatronic Systems
2. Equations of Motion of a Rigid Spherical Body
3. Theory of Gyroscopes
4. Dynamics and Control of a Gyroscope
5. Gyroscopic Control in Self
Guidance Systems of Flying Objects.
ISBN:9781461439783
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v30
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2012-9781461437918:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Kinematics and Statics
Author(s): Jan Awrejcewicz
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:This isthe first volume of three books by the same author, devoted entirely to classical mechanics. The triad of works covers different subjects in classical mechanics and creates a link between them by deriving topics from thesame root. Moreover, th e author unifies different approaches from English, Russian, Polish, and German literature devoted to classical mechanics. Emphasis is placed on the study of electro-magneto-mechanical systems. ClassicalMechanics: Kinematics and Statics is addressed to a wide spectrum of undergraduate and graduate students, postgraduate students, researchers, and instructors, from the fields of mechanical and civil engineering. This volume, whichincludes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. It is also recommended as a supplementary textbook atthe upper undergraduate and graduate levels. In Chapter 1 the fundamental principles of mechanics are fo rmulated, illustrated, and discussed. Chapter 2 is devoted to statics and Chapter 3 presents the geometry of masses. Kinematicsof a particle, the curvilinear and normal coordinates, and kinematic pairs and chains are the main focus of Chapter 4. Chapter 5 studies the kinematics of a rigid body and a composite motion of a particle. Chapter 6 ends the text withkinematics of a deformable body
Note:Springer eBooks
Contents:Preface
1. Fundamental Principles of Mechanics
2. Statics
3. Geometry of Masses
4. Kinematics of a Particle and Introduction to Kinematics of Rigid Bodies
5. Kinematics of a Rigid Body and Composite Motion of a Point
6. Kinematics of a Deformable Body
ISBN:9781461437918
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v28
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics , Engineering design
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Call number:SPRINGER-2012-9781461437406:ONLINE Show nearby items on shelf
Title:Classical Mechanics [electronic resource] : Dynamics
Author(s): Jan Awrejcewicz
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:This isthe second volume of three books, by the same author, devoted to classical mechanics. In this book, Classical Mechanics: Dynamics, dynamical and advanced mechanics problems are stated, illustrated, and discussed,including a few novel concepts by comparison to standard text books and monographs. Aside from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and instructors, from the fields of mechanicaland civil engineering, this volume, which includes a wealth of worked examples and applications, is also intended to be used as a self-contained reference for researchers in applied mathematics and physical sciences. Chapter 1 coversdynamics of a particle and systems of particles, as well as rigid body mot ion about a point. Mathematical and physical pendulums are discussed in Chapter 2, and Chapter 3 presents static and dynamic problems of discrete mechanicalsystems. Classical equations of mechanics are studied in Chapter 4, and Chapter 5 introduces and il lustrates classical impact theory. Chapter 6 deals with the vibrations of mechanical systems, and Chapter 7 briefly studies the dynamicsof planets. Dynamics of variable mass systems are presented in Chapter 8, and body and multibody dynamics are studied i n Chapter 9. A geometric approach to dynamical problems is the focus of Chapter 10, and Chapter 11 ends the textwith geometric dynamics
Note:Springer eBooks
Contents:Preface
1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point
2. Mathematical and Physical Pendulum
3. Statics and Dynamics in Generalized Coordinates
4. Classical Equations of Dynamics
5. Theory of Impact
6. Vibrations of Mechanical Systems
7. Elements of Dynamics of Planets
8. Dynamics of Systems of Variable Mass
9. Body and Multibody Dynamics
10. Stationary Motions of a Rigid Body and their Stability
11. Geometric Dynamics
ISBN:9781461437406
Series:e-books
Series:SpringerLink (Online service)
Series:Advances in Mechanics and Mathematics, 1571-8689 : v29
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2012-9781461415084:ONLINE Show nearby items on shelf
Title:Singularities in Elliptic Boundary Value Problems and Elasticity and Their Connection with Failure Initiation [electronic resource]
Author(s): Zohar Yosibash
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This introductory and self-contained book gathers as much explicit mathematical results on the linear-elastic and heat-conduction solutions in the neighborhood of singular points in two-dimensional domains, and singular edgesand vertices in three-dim ensional domains. These are presented in an engineering terminology for practical usage. The author treats the mathematical formulations from an engineering viewpoint and presents high-orderfinite-element methods for the computation of singular solutions in isotropic and anisotropic materials, and multi-material interfaces. The proper interpretation of the results in engineering practice is advocated, so that thecomputed data can be correlated to experimental observations. The book is divided into fourte en chapters, each containing several sections. Most of it (the first nine Chapters) addresses two-dimensional domains, where only singularpoints exist. The solution in a vicinity of these points admits an asymptotic expansion composed of eigenpairs and as sociatedgeneralized flux/stress intensity factors (GFIFs/GSIFs), which are being computed analytically when possibleor by finite element methods otherwise. Singular points associated with weakly coupled thermoelasticity in the vicinity of singularities ar e also addressed and thermal GSIFs are computed. The computed data is important in engineeringpractice forpredicting failure initiation in brittlematerials on a daily basis. Several failure lawsfor two-dimensional domains with V-notches arepresented and t heir validity is examined by comparison to experimentalobservations.A sufficient simple and reliable condition for predicting failureinitiation (crack formation) in micron level electronic devices, involving singularpoints, is still a topic of active rese arch and interest, and isaddressed herein. Explicit singular solutions in the vicinity of vertices and edges in three-dimensional domains are provided in the rem
Note:Springer eBooks
ISBN:9781461415084
Series:e-books
Series:SpringerLink (Online service)
Series:Interdisciplinary Applied Mathematics, 0939-6047 : v37
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Engineering mathematics , Mechanics, applied
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Call number:SPRINGER-2012-9781461405023:ONLINE Show nearby items on shelf
Title:Bifurcation Theory [electronic resource] : An Introduction with Applications to Partial Differential Equations
Author(s): Hansjrg Kielhfer
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as wellas more recent and l esser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involvingpartial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians,physicists, and theoretically-inclined engineers working in bifurca tion theory and its applications to partial differential equations. The second edition is substantially and formally revised and new material is added. Among this isbifurcation with a two-dimensional kernel with applications, the buckling of the Euler ro d, the appearance of Taylor vortices, the singular limit process of the Cahn-Hilliard model, and an application of this method to more complicatednonconvex variational problems
Note:Springer eBooks
Contents:Introduction
Global Theory
Applications
ISBN:9781461405023
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v156
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential equations, partial , Mechanics, applied
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Call number:SPRINGER-2012-9780817682651:ONLINE Show nearby items on shelf
Title:Nonlinear Partial Differential Equations for Scientists and Engineers [electronic resource]
Author(s): Lokenath Debnath
Date:2012
Edition:Third Edition
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:An exceptionally complete overview of the latest developments in the field of PDEs. There are numerous examples and the emphasis is on applications to almost all areas of science and engineering. There is truly something foreveryone here. Applied Mec hanics Review (Review of First Edition) Overall, it is a useful book for teaching, a rich source of examples, and I am happy to have it on a shelf of my library. UK Nonlinear News (Review of SecondEdition) The revised and enlarged third edition of this su ccessful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their various current applications. In an effort tomake the book more useful for a diverse readership, updated modern examples of ap plicationshave beenchosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics,acoustics, and wave propagation. The book gives thorough coverage of the derivation and solution methods for all fundamental nonlinear model equations, such as Kortewegde Vries, CamassaHolm, DegasperisProcesi,EulerPoincar, Toda lattice, Boussinesq, Burgers, Fisher, Whitham, nonlinear KleinGordon, sine-Gordon, nonlinear Schrdinger, nonlinear reaction-diffusion, and E ulerLagrange equations. Other topics and key featuresinclude: * Improved presentations of results, solution methods, and proofs. * Solitons, gravity-capillary solitary waves, and the Inverse Scattering Transform. * Special emphasis on compactons, intrinsi c localized modes, andnonlinear instability of dispersive waves with applications to water waves and wave breaking phenomena. * New section on the Lorenz nonlinear system, the Lorenz attractor, and deterministic chaos, and new examples of nonlinearquasi-h armonic waves, modulational instability, nonlinear lattices, and the Toda lattice equation. * Over 1000 worked-out examples and end-of-chapter exercises with expa
Note:Springer eBooks
Contents:Preface to the Third Edition
Preface
Linear Partial Differential Equations
Nonlinear Model Equations and Variational Principles
First
Order, Quasi
Linear Equations and Method of Characteristics
First
Order Nonlinear Equations and Their Applications
Conservation Laws and Shock Waves
Kinematic Waves and Real
World Nonlinear Problems
Nonlinear Dispersive Waves and Whitham's Equations
Nonlinear Diffusion
Reaction Phenomena
Solitons and the Inverse Scattering Transform
The Nonlinear Schroedinger Equation and Solitary Waves
Nonlinear Klein
Gordon and Sine
Gordon
ISBN:9780817682651
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2012-9780817649449:ONLINE Show nearby items on shelf
Title:Stochastic Models, Information Theory, and Lie Groups, Volume 2 [electronic resource] : Analytic Methods and Modern Applications
Author(s): Gregory S Chirikjian
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The subjects of stochastic processes, information theory, and Lie groups are usually treated separately from each other. This unique two-volume set presents these topics in a unified setting, thereby building bridges betweenfields that are rarely stu died by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, andgroup-theoretic concepts in the modeling of physical p henomena. Volume 1 establishes the geometric and statistical foundations required to understand the fundamentals of continuous-time stochastic processes, differential geometry, andthe probabilistic foundations of information theory. Volume 2 delves deeper into relationships between these topics, including stochastic geometry, geometric aspects of the theory of communications and coding, multivariate statisticalanalysis, and error propagation on Lie groups. Key features and topics of Volume 2: * The author reviews the concept ofandfunctions and integration onLie groups with many concrete examples. * Extensive exercises andmotivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes on Lie groups or geometric aspects of probability and statistics. *Specific application areas are explored,including biomolecular statistical mechanics and information-driven motion in robotics. * The concrete presentation style makes it easy for readers to obtain numeri cal solutions for their own problems the emphasis is on how tocalculate quantities rather than how to prove theorems. * Modern problems at the interface of mechanics, control theory, and communications are handled in a unified framework and multiple direc tions for future research are explored.Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practition
Note:Springer eBooks
Contents:Lie Groups I: Introduction and Examples
Lie Groups II: Differential Geometric Properties
Lie Groups III: Integration, Convolution, and Fourier Analysis
Variational Calculus on Lie Groups
Statistical Mechanics and Ergodic Theory
Parts Entropy and the Principal Kinematic Formula
Estimation and Multivariate Analysis in R^n
Information, Communication, and Group Therapy
Algebraic and Geometric Coding Theory
Information Theory on Lie Groups
Stochastic Processes on Lie Groups
Locomotion and Perception as Communication over Principal Fiber Bundles and A Survey of Addi
ISBN:9780817649449
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Global differential geometry , Distribution (Probability theory) , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2012-9780817648282:ONLINE Show nearby items on shelf
Title:The Theory of the Top Volume III [electronic resource] Perturbations. Astronomical and Geophysical Applications
Author(s): Felix Klein
Arnold Sommerfeld
Date:2012
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Theory of the Top. Volume III.Perturbations.Astronomical and Geophysical Applications is thethirdina series of four self-contained English translations of the classic and definitive treatment of rigid body motion.Key features: * Complete and unab ridged presentation with recent advances and additional notes * Annotations by the translators provide insights into the nature of science and mathematics in the late 19th century * Each volumeinterweaves theory and applications. The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Gttingen University that was broadened in scope and clarified as a result of collaboration with ArnoldSommerfeld. Graduate students and researchers interested in theoretical and applied mechanics will find this series of books a thorough and insightful account. Other volumes in the series includeIntroduction to the Kinematics andKinetics of the Top, Development of the Theory in the Case of the Heavy Symmetric Top,and Technical Applications of the Theory of the Top
Note:Springer eBooks
Contents:Foreword
Advertisement
Chapter VII Theory and reality. The influence of friction, air resistance, and elasticity of the material and the support on the motion of the top
Chapter VIII Applications of the theory of the top
Part A. Astronomical Applications
Part B. Geophysical Applications
Addenda and Supplements
Translators' Notes
References
Index
ISBN:9780817648282
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical physics , Mechanics
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Call number:SPRINGER-2012-9780387878157:ONLINE Show nearby items on shelf
Title:Dissipative Ordered Fluids [electronic resource] : Theories for Liquid Crystals
Author(s): Andre M Sonnet
Epifanio G Virga
Date:2012
Publisher:Boston, MA : Springer US
Size:1 online resource
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Note:This is a book on the dissipative dynamics of ordered fluids, with a particular focus on liquid crystals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral andnonchiral variants. The aut hors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased.Within this unified setting, they cover both we ll-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrodynamic theories for liquid crystals, from theoriginal 1960s works by Ericksen and Leslie to new, fast-developing ideas o f liquid crystal science. The final chapter is devoted to nematoacoustics and its applications. Old experiments on the propagation of ultrasound waves innematic liquid crystals are interpreted and explained in the light of a new theory developed within th e general theoretical infrastructure proposed in the body of the book. This book is intended both for graduate students andprofessional scholars in mathematics, physics, and engineering of advanced materials. It delivers a solid framework for liquid cryst al hydrodynamics and shows the unifying concepts at the basis of the classical theories. It illustrateshow these concepts can also be applied to a wide variety of modern topics. Andre M. Sonnet is in the Department of Mathematics and Statistics at the Uni versity of Strathclyde, Glasgow (Scotland) and Epifanio G. Virga is in theDepartment of Mathematics at the University of Pavia (Italy). They have a long history of working together in liquid crystal science and have contributed, in particular, to the theo ries of defects and biaxial nematics
Note:Springer eBooks
Contents:Molecular Theories
Dynamics of Dissipative Fluids
Director Theories
Order Tensor Theories
Nematoacoustics
Notation and Basic Concepts
References
Index
ISBN:9780387878157
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mechanics
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Call number:SPRINGER-2011-9789400714823:ONLINE Show nearby items on shelf
Title:Contemporary Ideas on Ship Stability and Capsizing in Waves [electronic resource]
Author(s): Marcelo Almeida Santos Neves
Vadim L Belenky
Jean Otto Kat
Kostas Spyrou
Naoya Umeda
Date:2011
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
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Note:During the last decade significant progress has been made in the field of ship stability.Yet in spite of the progress made, numerous scientific and practical challenges still exist with regard to the accurate prediction of extrememotion and capsize d ynamics for intact and damaged vessels, the probabilistic nature of extreme events, criteria that properly reflect the physics and operational safety of an intact or damaged vessel, and ways to provide relevantinformation on safe ship handling to ship ope rators. This book provides a comprehensive review of the above issues through the selection of representative papers presented at the unique series of international workshops andconferences on ship stability held between 2000 and 2009. The editorial comm ittee has selected papers for this book from the following events: STAB 2000 Conference (Launceston, Tasmania), 5th Stability Workshop (Trieste, 2001), 6thStability Workshop (Long Island, 2002), STAB 2003 Conference (Madrid), 7th Stability Workshop (Shang hai, 2004), 8th Stability Workshop (Istanbul, 2005), STAB 2006 Conference (Rio de Janeiro), 9th Stability Workshop (Hamburg, 2007),10th Stability Workshop (Daejeon, 2008), and STAB 2009 Conference (St. Petersburg). The papers have been clustered around t he following themes: Stability Criteria, Stability of the Intact Ship, Parametric Rolling, Broaching,Nonlinear Dynamics, Roll Damping, Probabilistic Assessment of Ship Capsize, Environmental Modelling, Damaged Ship Stability, CFD Applications, Design for Safety, Naval Vessels, and Accident Investigations
Note:Springer eBooks
Contents:Preface
1 Stability Criteria
Review of Available Methods for Application to Second Level Vulnerability Criteria, by Christopher C. Bassler, Vadim Belenky, Gabriele Bulian, Alberto Francescutto, Kostas Spyrou and Naoya Umeda
A Basis for Developing a Rational Alternative to the Weather Criterion: Problems and Capabilities , by K. J. Spyrou
Conceptualising Risk, by Andrzej Jasionowski and Dracos Vassalos
Evaluation of the Weather Criterion by Experiments and its Effect to the Design of a Ro
Pax Ferry, by Shigesuke Ishida, Harukuni Taguchi and Hiroshi Sawada
Evolution of Analysis
ISBN:9789400714823
Series:e-books
Series:SpringerLink (Online service)
Series:Fluid Mechanics and Its Applications, 0926-5112 : v97
Series:Physics and Astronomy (Springer-11651)
Keywords: Engineering , Engineering mathematics , Mechanics, applied , Hydraulic engineering , Mechanical engineering
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Call number:SPRINGER-2011-9783642213359:ONLINE Show nearby items on shelf
Title:Damped Oscillations of Linear Systems [electronic resource] : A Mathematical Introduction
Author(s): Kreimir Veseli
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:The theory of linear damped oscillations was originally developed more than hundred years ago and is still of vital research interest to engineers, mathematicians and physicists alike. This theory plays a central role inexplaining the stability of me chanical structures in civil engineering, but it also has applications in other fields such as electrical network systems and quantum mechanics. This volume gives an introduction to linear finitedimensional damped systems as they are viewed by an applied mathematician. After a short overview of the physical principles leading to the linear system model, a largely self-contained mathematical theory for this model is presented.This includes the geometry of the underlying indefinite metric space, spectral th eory of J-symmetric matrices and the associated quadratic eigenvalue problem. Particular attention is paid to the sensitivity issues which influencenumerical computations. Finally, several recent research developments are included, e.g. Lyapunov stability and the perturbation of the time evolution
Note:Springer eBooks
Contents:1 The model
2 Simultaneous diagonalisation (Modal damping)
3 Phase space
4 The singular mass case
5 Indefinite metric
6 Matrices and indefinite scalar products
7 Oblique projections
8 J
orthogonal projections
9 Spectral properties and reduction of J
Hermitian matrices
10 Definite spectra
11 General Hermitian matrix pairs
12 Spectral decomposition of a general J
Hermitian matrix
13 The matrix exponential
14 The quadratic eigenvalue problem
15 Simple eigenvalue inclusions
16 Spectral shift
17 Resonances and resolvents
18 Well
posedness
19
ISBN:9783642213359
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2023
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory
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Call number:SPRINGER-2011-9783642211379:ONLINE Show nearby items on shelf
Title:Asymptotic Stability of Steady Compressible Fluids [electronic resource]
Author(s): Mariarosaria Padula
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This volume introduces a systematic approach to the solution of some mathematical problems that arise in the study of the hyperbolic-parabolic systems of equations that govern the motions of thermodynamic fluids. It is intendedfor a wide audience of theoretical and applied mathematicians with an interest in compressible flow, capillarity theory, and control theory. The focus is particularly on recent results concerning nonlinear asymptotic stability, whichare independent of assumptions about the smal lness of the initial data. Of particular interest is the loss of control that sometimes results when steady flows of compressible fluids are upset by large disturbances. The main ideas areillustrated in the context of three different physical problems: (i ) A barotropic viscous gas in a fixed domain with compact boundary. The domain may be either an exterior domain or a bounded domain, and the boundary may be eitherimpermeable or porous. (ii) An isothermal viscous gas in a domain with free boundaries. (iii ) A heat-conducting, viscous polytropic gas
Note:Springer eBooks
Contents:1 Topics in Fluid Mechanics
2 Topics in Stability
3 Barotropic Fluids with Rigid Boundary
4 Isothermal Fluids with Free Boundaries
5 Polytropic Fluids with Rigid Boundary
ISBN:9783642211379
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2024
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mathematical physics , Mechanics, applied
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