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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: | 9783319487106:ONLINE Show nearby items on shelf |
Title: | Classical Mechanics Including an Introduction to the Theory of Elasticity |
Author(s): |
Reinhard Hentschke |
Date: | 2017 |
Size: | 1 online resource (X, 380 p. 84 illus., 5 illus. in color p.) |
Contents: | Mathematical Tools -- Laws of Mechanics -- Least Action for One Coordinate -- Principle of Least Action -- Integrating Equations of Motion -- Rigid-Body Motion -- Canonical Mechanics -- Many-Particle Mechanics -- Theory of Elasticity |
ISBN: | 9783319487106 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Mechanics , Mechanics, Applied , Physics , Classical Mechanics , Theoretical and Applied Mechanics , Numerical and Computational Physics, Simulation |
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Call number: | 9783319466644:ONLINE Show nearby items on shelf |
Title: | Problems in Classical and Quantum Mechanics Extracting the Underlying Concepts |
Author(s): |
J. Daniel Kelley |
Date: | 2017 |
Size: | 1 online resource (XVI, 368 p. 71 illus., 2 illus. in color p.) |
Contents: | Classical Mechanics -- Newtonian Physics -- Lagrangian and Hamiltonian Dynamics -- Central Forces and Orbits -- Normal Modes and Coordinates -- Quantum Mechanics -- Introductory Concepts -- Bound States in One Dimension -- Ladder |
Operators for the Harmonic Oscillator -- Angular Momentum -- Bound states in Three Dimensions -- Approximation Methods -- The Variational Method -- Non-degenerate Time Independent Perturbation Theory -- Degenerate Time Independent | |
Perturbation Theory -- Time Dependent Perturbation Theory | |
ISBN: | 9783319466644 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Chemistry, Physical and theoretical , Quantum physics , Mechanics , Mechanics, Applied , Physics , Classical Mechanics , Quantum Physics , Theoretical and Applied Mechanics , Theoretical and Computational Chemistry |
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Call number: | 9783319444918:ONLINE Show nearby items on shelf |
Title: | Analytical Mechanics |
Author(s): |
Carl S Helrich |
Date: | 2017 |
Size: | 1 online resource (XV, 349 p. 58 illus p.) |
Contents: | History -- Lagrangian Mechanics -- Hamiltonian Mechanics -- Solid Bodies -- Hamilton-Jacobi Approach -- Complex Systems -- Chaos in Dynamical Systems -- Special Relativity -- Appendices -- Differential of S -- Hamilton-Jacobi Equation |
-- With Variables p, q, q -- Zero-Component Lemma -- Maxwell Equations from Field Strength Tensor -- Differential Operators -- Answers to Selected Exercises. | |
ISBN: | 9783319444918 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Mechanics , Mechanics, Applied , Physics , Classical Mechanics , Mathematical Methods in Physics , Theoretical and Applied Mechanics |
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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: | 352741245X:ONLINE Show nearby items on shelf |
Title: | Introductory Quantum Mechanics for Applied Nanotechnology |
Author(s): |
Kim |
Date: | 2015 |
Publisher: | Wiley-VCH |
Size: | 1 online resource (393 p.) |
ISBN: | 9783527412457 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Physics |
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Location: | ONLINE |
Call number: | 1119241804:ONLINE Show nearby items on shelf |
Title: | Applied Impact Mechanics |
Author(s): |
Rao |
Date: | 2017 |
Size: | 1 online resource (351 p.) |
ISBN: | 9781119241805 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mechanical Engineering |
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Call number: | 0471791075:ONLINE Show nearby items on shelf |
Title: | Applied Soil Mechanics with ABAQUS Applications |
Author(s): |
Helwany |
Date: | 2007 |
Publisher: | Wiley |
Size: | 1 online resource (401 p.) |
ISBN: | 9780471791072 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Civil Engineering & Construction |
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Call number: | TA350.T25::2002 Show nearby items on shelf |
Title: | Classical mechanics and electromagnetism in accelerators and beams |
Conference: | U.S. Particle Accelerator School (USPAS 2002) 10-21 Jun 2002, New Haven,
Conneticut
[C02-06-10.8] |
Author(s): |
Richard Talman (Cornell U., LNS) |
Date: | 2002 |
Publisher: | USPAS |
Size: | 2 v |
Note: | USPAS at Yale U., June 10-21, 2002 |
Keywords: | Mechanics, Applied , Electromagnetism |
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Location: | MAIN |
Call number: | TA350.S492::1997 Show nearby items on shelf |
Title: | Engineering mechanics. Statics and dynamics |
Author(s): |
Irving Herman Shames 1923- |
Date: | 1997 |
Edition: | 4th ed. |
Publisher: | Prentice Hall, Upper Saddle River, N.J |
Size: | 1024 |
ISBN: | 0133569241 |
Keywords: | Mechanics, Applied. |
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Location: | MAIN |
Call number: | TA350.H534::1955 Show nearby items on shelf |
Title: | Engineering mechanics, by Archie Higdon and William B. Stiles, in collaboration with Arthur W. Davis and Herbert O. Ustrud. |
Author(s): |
Archie Higdon 1905- William Barnard Stiles |
Date: | 1955 |
Edition: | 2d ed. |
Publisher: | Prentice Hall, New York |
Size: | 585 |
Series: | Prentice Hall civil engineering and engineering mechanics series. 91 |
Keywords: | Mechanics, Applied. |
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Location: | MAIN |
Call number: | TA350.H48::1998 Show nearby items on shelf |
Title: | Engineering mechanics. Statics & dynamics |
Author(s): |
R.C. Hibbeler |
Date: | 1998 |
Edition: | 8th ed. |
Publisher: | Prentice-Hall, Upper Saddle River, N.J |
Size: | 672 |
ISBN: | 0135770408 |
Keywords: | Mechanics, Applied. |
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Location: | MAIN |
Call number: | TA350.B35523::1977 Show nearby items on shelf |
Title: | Solutions Manual to Accompany Vector Mechanics for Engineers : Dynamics |
Author(s): |
Ferdinand Pierre Beer 1915- E. Russell (Elwood Russell) Johnston 1925- |
Date: | 1977 |
Publisher: | McGraw - Hill |
Note: | 3rd. ed. |
ISBN: | 0070042829 |
Keywords: | Mechanics, Applied , Vector Analysis , Mechanics, Applied - Problems, Exercises, etc. , Dynamics |
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Location: | MAIN |
Call number: | TA350.B3552::1988 Show nearby items on shelf |
Title: | Vector mechanics for engineers: Dynamics |
Author(s): |
Ferdinand P. Beer E. Russell Johnston |
Date: | 1988 |
Edition: | 5th ed. |
Publisher: | New York : McGraw-Hill |
Size: | 459-1047 p |
Note: | part two of Vector mechanics for engineers |
Contents: | Kinematics of particles -- Kinetics of particles: Newton's second law -- Kinetics of particles: energy and momentum methods -- Systems of particles -- Kinematics of rigid bodies -- Plane motion of rigid bodies: forces and accelerations -- Plane moti on of rigid bodies: energy and momentum methods -- Kinetics of rigid bodies in three dimensions -- Mechanical vibrations -- Some useful definitions and properties of Vector algebra -- Moments of inertia of masses. |
ISBN: | 9780070799264 |
Keywords: | Mechanics, Applied. , Vector analysis , Mechanics, Applied, Problems, exercises |
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Call number: | TA350.B3552::1977 Show nearby items on shelf |
Title: | Vector Mechanics for Engineers: Statics and Dynamics |
Author(s): |
Ferdinand Pierre Beer 1915- E. Russell Johnston 1925- |
Date: | 1977 |
Publisher: | McGraw - Hill |
Note: | 3rd. ed. |
ISBN: | 0070042772 |
Keywords: | Mechanics, Applied , Vector Analysis , Mechanics, Applied - Problems, Exercises, etc. |
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Location: | MAIN |
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 |
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-2016-9783662475003:ONLINE Show nearby items on shelf |
Title: | Replication of Chaos in Neural Networks, Economics and Physics |
Author(s): |
Marat Akhmet |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (133 p.) |
Note: | 10.1007/978-3-662-47500-3 |
Contents: | Introduction -- Replication of Continuous Chaos about Equilibria -- Chaos Extension in Hyperbolic Systems -- Entrainment by Chaos -- Chaotification of Impulsive Systems by Perturbations -- Chaos Generation in Continuous/Discrete-Time |
Models -- Economic Models with Deterministic Chaos as Generated by Exogenous Continuous/Discrete Shocks -- Replication of Chaos by Neural Networks -- ntrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems | |
ISBN: | 9783662475003 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Difference equations , Functional equations , Biomathematics , Statistical physics , Mechanics , Mechanics, Applied , Economic theory , Physics , Nonlinear Dynamics , Difference and Functional Equations , Theoretical and Applied Mechanics , Economic Theory/Quantitative Economics/Mathematical Methods , Mathematical and Computational Biology |
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Call number: | SPRINGER-2016-9783319246215:ONLINE Show nearby items on shelf |
Title: | The Automated Design of Materials Far From Equilibrium |
Author(s): |
Marc Z Miskin |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (7 p.) |
Note: | 10.1007/978-3-319-24621-5 |
Contents: | Introduction -- Artificial Evolution -- Optimization -- Inverse Problems -- Transition of Designs -- Online Design -- Conclusions |
ISBN: | 9783319246215 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Physics , Amorphous substances , Complex fluids , Mechanics , Mechanics, Applied , Engineering design , Engineering , Structural materials , Physics , Soft and Granular Matter, Complex Fluids and Microfluidics , Structural Materials , Engineering Design , Materials Engineering , Theoretical and Applied Mechanics |
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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-2014-9783642449529:ONLINE Show nearby items on shelf |
Title: | The Application of Biofluid Mechanics [electronic resource] : Boundary Effects on Phoretic Motions of Colloidal Spheres |
Author(s): |
Po-Yuan Chen |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | The Application of Biofluid Mechanics: Boundary Effects on Phoretic Motions of Colloidal Spheres focuses on the phoretic motion behavior of various micron- to nanometer-size particles. The content of this book is divided intotwo parts: one on the con centration gradient-driven diffusiophoresis and osmophoresis, and one on thermocapillary motion and thermophoretic motion driven by temperature gradient. Diffusiophoresis and osmophoresis are mainly used inbiomedical engineering applications, such as drug delivery, purification, and the description of the behavior of the immune system thermocapillary motion and thermophoretic motion are applied in the field of semiconductors, as well asin suspended impurities removal. The book also provides a variety of c omputer programming source codes compiled using Fortran for researchers' future applications. This book is intended for chemical engineers, biomedical engineers andscientists, biophysicists, and fundamental chemotaxis researchers. Dr. Po-Yuan Chen is an A ssistant Professor at the Department of Biological Science and Technology, China Medical University, Taichung, Taiwan |
Contents: | Introduction |
Diffusiophoresis of Spherical Colloidal Particles Parallel to the Plane Walls | |
Penetration Motion of the Spherical Vesicle Particle Parallel to Plane Walls | |
Thermocapillary Motion of Pherical Droplets Parallel to Plane Walls | |
Thermophoresis Motion of Spherical Aerosol Particles Parallel to Plane Walls | |
General Discussions and Conclusions | |
ISBN: | 9783642449529 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SpringerBriefs in Physics, 2191-5423 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Electrophoresis , Hydraulic engineering , Biomedical engineering |
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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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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-2014-9781461492368:ONLINE Show nearby items on shelf |
Title: | Principles of Astrophysics [electronic resource] : Using Gravity and Stellar Physics to Explore the Cosmos |
Author(s): |
Charles Keeton |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book gives a survey of astrophysics at the advanced undergraduate level. It originates from a two-semester course sequence at Rutgers University that is meant to appeal not only to astrophysics students but also morebroadly to physics and engine ering students. The organization is driven more by physics than by astronomy in other words, topics are first developed in physics and then applied to astronomical systems that can be investigated,rather than the other way around. The first half of the bo ok focuses on gravity. Gravity is the dominant force in many astronomical systems, so a tremendous amount can be learned by studying gravity, motion and mass. The theme inthis part of the book, as well as throughout astrophysics, is using motion to invest igate mass. The goal of Chapters 2-11 is to develop a progressively richer understanding of gravity as it applies to objects ranging from planets andmoons to galaxies and the universe as a whole. The second half uses other aspects of physics to address on e of the big questions. While Why are we here? lies beyond the realm of physics, a closely related question is withinour reach: How did we get here? The goal of Chapters 12-21 is to understand the physics behind the remarkable story of how the Universe, E arth and life were formed. This book assumes familiarity with vector calculus andintroductory physics (mechanics, electromagnetism, gas physics and atomic physics) however, all of the physics topics are reviewed as they come up (and vital aspects of vecto r calculus are reviewed in the Appendix). This volume isaimed at undergraduate students majoring in astrophysics, physics or engineering |
Contents: | Introduction: Tools of the Trade |
Part I: Using Gravity and Motion to Measure Mass | |
Celestial Mechanics | |
Gravitational One | |
Body Problem | |
Gravitational Two | |
Body Problem | |
Tidal Forces | |
Gravitational Three | |
Body Problem | |
Extended Mass Distributions: Spiral Galaxies | |
N | |
Body Problem: Elliptical Galaxies | |
Bending of Light by Gravity | |
Relativity | |
Cosmology: Expanding Universe | |
Part II: Using Stellar Physics to Explore the Cosmos | |
Planetary Atmospheres | |
Planetary Temperatures | |
Stellar Atmospheres | |
Nuclear Fusion | |
Stellar Structure and Evolution | |
Stellar Remnants | |
C | |
ISBN: | 9781461492368 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Undergraduate Lecture Notes in Physics, 2192-4791 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mechanics , Astronomy , Mechanics, applied |
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Call number: | SPRINGER-2014-9781461488484:ONLINE Show nearby items on shelf |
Title: | Solar System Astrophysics [electronic resource] : Background Science and the Inner Solar System |
Author(s): |
Eugene F Milone William J.F Wilson |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | The second edition of Solar System Astrophysics: Background Science and the Inner Solar System provides new insights into the burgeoning field of planetary astronomy. As in the first edition, this volume begins with a rigoroustreatment of coordinate frames, basic positional astronomy, and the celestial mechanics of two and restricted three body system problems. Perturbations are treated in the same way, with clear step-by-step derivations. Then theEarths gravitational potential field and the Earth-Mo on system are discussed, and the exposition turns to radiation properties with a chapter on the Sun. The exposition of the physical properties of the Moon and the terrestrialplanets are greatly expanded, with much new information highlighted on the Moon, Mercury, Venus, and Mars. All of the material is presented within a framework of historical importance. This book and its sister volume, Solar SystemAstrophysics: Planetary Atmospheres and the Outer Solar System, are pedagogically well written, providing clearly illustrated explanations, for example, of such topics as the numerical integration of the Adams-Williamson equation, theequations of state in planetary interiors and atmospheres, Maxwells equations as applied to planetary ionospheres and magnetosp heres, and the physics and chemistry of the Habitable Zone in planetary systems. Together, the volumesform a comprehensive text for any university course that aims to deal with all aspects of solar and extra-solar planetary systems. They will appeal separ ately to the intellectually curious who would like to know just how far ourknowledge of the solar system has progressed in recent years |
Contents: | Perceptions of the Solar System in History |
Basic Tools and Techniques | |
Celestial Mechanics | |
The Core of the Solar System: The Sun | |
General Properties of Terrestrial Planets | |
Planetary Heat Flow and Temperatures | |
Rocks and Minerals | |
The Moon's Surface, Structure, and Evolution | |
Surface Science of our Terrestrial Planets | |
ISBN: | 9781461488484 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Astronomy and Astrophysics Library, 0941-7834 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Planetology , Astronomy |
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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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Title: | Non-Equilibrium Thermodynamics in Multiphase Flows [electronic resource] |
Author(s): |
Roberto Mauri |
Date: | 2013 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Non-equilibrium thermodynamics is a general framework that allows the macroscopic description of irreversible processes. This book introduces non-equilibrium thermodynamics and its applications to the rheology of multiphaseflows. The subject is relev ant to graduate students in chemical and mechanical engineering, physics and material science. This book is divided into two parts. The first part presents the theory of non-equilibrium thermodynamics,reviewing its essential features and showing, when pos sible, some applications. The second part of this book deals with how the general theory can be applied to model multiphase flows and, in particular, how to determine theirconstitutive relations. Each chapter contains problems at the end, the solutions of which are given at the end of the book. No prior knowledge of statistical mechanics is required the necessary prerequisites are elements of transportphenomena and on thermodynamics. The style of the book is mathematical, but nonetheless it remains very r eadable and anchored in the physical world rather than becoming too abstract. Though it is up-to-date and includes recentimportant developments, there is a lot of classical material in the book, albeit presented with unprecedented clarity and coherence. T he first six chapters are actually a very good introduction to the theory underlying many phenomenain soft matter physics, beyond the focus on flow and transport of the later chapters of the book. Prof Richard A.L. Jones FRS, Pro-Vice-Chancellor for Resea rch and Innovation, University of Sheffield |
Note: | Springer eBooks |
Contents: | From the Contents: Microscopic reversibility |
The Langevin equation | |
The Fokker | |
Planck equation | |
Stochastic differential calculus | |
The path integral | |
Balance equations | |
The constitutive relations | |
Multiphase Flows | |
Effective constitutive relations | |
Multiple scale analysis | |
ISBN: | 9789400754614 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Soft and Biological Matter, 2213-1736 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry, Physical organic , Polymers , Thermodynamics , Hydraulic engineering |
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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-2013-9783642335969:ONLINE Show nearby items on shelf |
Title: | Mechanics of Advanced Functional Materials [electronic resource] |
Author(s): |
Biao Wang |
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: | Mechanics of Advanced Functional Materials emphasizes the coupling effect between the electric and mechanical field in the piezoelectric, ferroelectric and other functional materials. It also discusses the size effect on theferroelectric domain insta bility and phase transition behaviors using the continuum micro-structural evolution models. Functional materials usually have a very wide application in engineering due to their unique thermal, electric,magnetic, optoelectronic, etc., functions. Almost a ll the applications demand that the material should have reasonable stiffness, strength, fracture toughness and the other mechanical properties. Furthermore, usually the stress andstrain fields on the functional materials and devices have some important c oupling effect on the functionality of the materials. Much progress has been made concerning the coupling electric and mechanical behaviors such as the coupledelectric and stress field distribution in piezoelectric solids, ferroelectric domain patterns in ferroelectrics, fracture and failure properties under coupled electric and stress field, etc. The book is intended for researchers andpostgraduate students in the fields of mechanics, materials sciences and applied physics who are interested to work on t he interdisciplinary mathematical modeling of the functional materials. Prof. Biao Wang is the Dean of School ofPhysics and Engineering of the Sun Yat-sen University, China. Prof. Biao Wang is the Dean of School of Physics and Engineering of the Sun Yat-s en University, China. Prof. Biao Wang is the Dean of School of Physics and Engineering ofthe Sun Yat-sen University, China |
Note: | Springer eBooks |
Contents: | Solutions of elastic and electric fields of piezoelectric materials with inclusions and defects |
Micromechanics modeling of piezoelectric composites | |
Determination of the critical sizes of ferroelectric nanodomains | |
Size and surface effects on phase transitions in nanoferroelectric materials | |
Compliant ferroelectric films and strain engineering | |
Derivation of the Landau | |
Ginzburg expansion coefficients | |
Multiferroic materials | |
Breakdown models in nanoelectronic materials and devices | |
ISBN: | 9783642335969 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Advanced Topics in Science and Technology in China, 1995-6819 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mechanics , Materials , Optical materials |
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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 |
Note: | Springer e-book platform |
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 |
Note: | Springer 2013 e-book collections |
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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Location: | ONLINE |
Call number: | SPRINGER-2012-9789400751255:ONLINE Show nearby items on shelf |
Title: | Advances in Mechanisms Design [electronic resource] : Proceedings of TMM 2012 |
Author(s): |
Jaroslav Beran Martin Blek Monika Hejnova Petr Zabka |
Date: | 2012 |
Publisher: | Dordrecht : Springer Netherlands : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The International Conference on the Theory of Machines and Mechanisms is organized every four years, under the auspices of the International Federation for the Promotion of Mechanism and Machine Science (IFToMM) and the CzechSociety for Mechanics. Th is eleventh edition of the conference took place at the Technical University of Liberec, Czech Republic, 4-6 September 2012. This volume offers an international selection of the most important new results anddevelopments, in 73 papers, grouped in seven di fferent parts, representing a well-balanced overview, and spanning the general theory of machines and mechanisms, through analysis and synthesis of planar and spatial mechanisms, dynamicsof machines and mechanisms, linkages and cams, computational mechani cs, rotor dynamics, biomechanics, mechatronics, vibration and noise in machines, optimization of mechanisms and machines, control and monitoring systems of machines,accuracy and reliability of machines and mechanisms, robots and manipulators to the mechan isms of textile machines |
Note: | Springer eBooks |
Contents: | Scientific Committee |
List of Corresponding Authors | |
Preface | |
Part I: General Theory of Machines and Mechanisms | |
Part II: Analysis and Synthesis of Planar and Spatial Mechanisms Linkages and Cams | |
Part III: Dynamics of Machines and Mechanisms Rotor Dynamics Vibration and Noise in Machines Computational Mechanics | |
Part IV:Biomechanics | |
Part V: Mechatronics, Control and Monitoring Systems of Machines | |
Part VI: Optimization of Mechanisms and Machines, the Mechanisms of Textile Machines | |
Part VII: Robots and Manipulators | |
Author Index | |
ISBN: | 9789400751255 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mechanisms and Machine Science, 2211-0984 : v8 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Mechanics, applied , Vibration , Mechanical engineering |
Availability: | Click here to see Library holdings or inquire at
Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please. |
More info: | Amazon.com |
More info: | Barnes and Noble |
Full Text: | Click here |
Location: | ONLINE |
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