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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Basdevant, Jean-Louis |
Variational Principles in Physics |
I12603 |
2023 |
eBook |
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| 2 |
Bedford, Anthony |
Hamilton???s Principle in Continuum Mechanics |
I11933 |
2021 |
eBook |
|
| 3 |
L??ber, Jakob |
Optimal Trajectory Tracking of Nonlinear Dynamical Systems |
I09534 |
2017 |
eBook |
|
| 4 |
Nelles, Oliver |
Nonlinear System Identification |
I09519 |
2020 |
eBook |
|
| 5 |
Marmo, G |
Classical and Quantum Physics |
I08690 |
2019 |
eBook |
|
| 6 |
Mbiock, Aristide |
Radiation in Enclosures |
I11457 |
2000 |
eBook |
|
| 7 |
Lieb, Elliott H |
The Stability of Matter: From Atoms to Stars |
I11279 |
2001 |
eBook |
|
| 8 |
Tarasov, Vasily E |
Fractional Dynamics |
I08522 |
2010 |
eBook |
|
| 9 |
Chavent, Guy |
Nonlinear Least Squares for Inverse Problems |
I07718 |
2010 |
eBook |
|
| 10 |
Schulz, Michael |
Control Theory in Physics and other Fields of Science |
I07009 |
2006 |
eBook |
|
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1.
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| Title | Variational Principles in Physics |
| Author(s) | Basdevant, Jean-Louis |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2023. |
| Description | XIII, 242 p. 46 illus., 10 illus. in color : online resource |
| Abstract Note | This revised and enhanced new edition of a well-established textbook provides a balanced overview of various areas of theoretical physics based on the use of variational principles. As well as field theory, the book deals with motion in curved spaces, the cradle of general relativity, and gravitational optics. New chapters on the relation of classical mechanics and geometrical optics as well as gravitational waves, which are considered as a true confirmation of general relativity, have been included. Each chapter has been carefully revised and enlarged. Finally, the text describes Feynman's formulation of quantum mechanics by path integrals, which gives the link between quantum and classical mechanics. The book provides a set of exercises, problems, and solutions |
| ISBN,Price | 9783031216923 |
| Keyword(s) | 1. CALCULUS OF VARIATIONS
2. Calculus of Variations and Optimization
3. CLASSICAL MECHANICS
4. EBOOK - SPRINGER
5. ENGINEERING MECHANICS
6. Mathematical Methods in Physics
7. MATHEMATICAL OPTIMIZATION
8. MATHEMATICAL PHYSICS
9. MECHANICS
10. Mechanics, Applied
11. OPTIMIZATION
12. Philosophical Foundations of Physics and Astronomy
13. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12603 |
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On Shelf |
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2.
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| Title | Hamilton???s Principle in Continuum Mechanics |
| Author(s) | Bedford, Anthony |
| Publication | Cham, Springer International Publishing, 2021. |
| Description | XIV, 104 p. 16 illus : online resource |
| Abstract Note | This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton???s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton???s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces. Presents a comprehensive, rigorous description of the application of Hamilton???s principle to continuous media; Includes recent applications of the principle to continua with microstructure, mixtures, and media with surfaces of discontinuity; Discusses foundations of continuum mechanics and variational methods therein in the context of linear vector spaces |
| ISBN,Price | 9783030903060 |
| Keyword(s) | 1. ALGEBRA
2. CALCULUS OF VARIATIONS
3. Calculus of Variations and Optimization
4. Classical and Continuum Physics
5. CONTINUUM MECHANICS
6. EBOOK
7. EBOOK - SPRINGER
8. ENGINEERING MECHANICS
9. MATHEMATICAL OPTIMIZATION
10. MATHEMATICAL PHYSICS
11. Mechanics, Applied
12. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11933 |
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On Shelf |
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3.
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| Title | Optimal Trajectory Tracking of Nonlinear Dynamical Systems |
| Author(s) | L??ber, Jakob |
| Publication | Cham, Springer International Publishing, 2017. |
| Description | XIV, 243 p. 36 illus., 32 illus. in color : online resource |
| Abstract Note | By establishing an alternative foundation of control theory, this thesis represents a significant advance in the theory of control systems, of interest to a broad range of scientists and engineers. While common control strategies for dynamical systems center on the system state as the object to be controlled, the approach developed here focuses on the state trajectory. The concept of precisely realizable trajectories identifies those trajectories that can be accurately achieved by applying appropriate control signals. The resulting simple expressions for the control signal lend themselves to immediate application in science and technology. The approach permits the generalization of many well-known results from the control theory of linear systems, e.g. the Kalman rank condition to nonlinear systems. The relationship between controllability, optimal control and trajectory tracking are clarified. Furthermore, the existence of linear structures underlying nonlinear optimal control is revealed, enabling the derivation of exact analytical solutions to an entire class of nonlinear optimal trajectory tracking problems. The clear and self-contained presentation focuses on a general and mathematically rigorous analysis of controlled dynamical systems. The concepts developed are visualized with the help of particular dynamical systems motivated by physics and chemistry |
| ISBN,Price | 9783319465746 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. CALCULUS OF VARIATIONS
3. Calculus of Variations and Optimal Control; Optimization
4. DYNAMICAL SYSTEMS
5. Dynamical Systems and Ergodic Theory
6. DYNAMICS
7. EBOOK
8. EBOOK - SPRINGER
9. ERGODIC THEORY
10. STATISTICAL PHYSICS
11. VIBRATION
12. Vibration, Dynamical Systems, Control
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09534 |
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On Shelf |
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4.
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| Title | Nonlinear System Identification : From Classical Approaches to Neural Networks, Fuzzy Models, and Gaussian Processes |
| Author(s) | Nelles, Oliver |
| Publication | Cham, Springer International Publishing, 2020. |
| Description | X, 1203 p. 670 illus., 179 illus. in color : online resource |
| Abstract Note | This book provides engineers and scientists in academia and industry with a thorough understanding of the underlying principles of nonlinear system identification. It equips them to apply the models and methods discussed to real problems with confidence, while also making them aware of potential difficulties that may arise in practice. Moreover, the book is self-contained, requiring only a basic grasp of matrix algebra, signals and systems, and statistics. Accordingly, it can also serve as an introduction to linear system identification, and provides a practical overview of the major optimization methods used in engineering. The focus is on gaining an intuitive understanding of the subject and the practical application of the techniques discussed. The book is not written in a theorem/proof style; instead, the mathematics is kept to a minimum, and the ideas covered are illustrated with numerous figures, examples, and real-world applications. In the past, nonlinear system identification was a field characterized by a variety of ad-hoc approaches, each applicable only to a very limited class of systems. With the advent of neural networks, fuzzy models, Gaussian process models, and modern structure optimization techniques, a much broader class of systems can now be handled. Although one major aspect of nonlinear systems is that virtually every one is unique, tools have since been developed that allow each approach to be applied to a wide variety of systems. |
| ISBN,Price | 9783030474393 |
| Keyword(s) | 1. Applications of Nonlinear Dynamics and Chaos Theory
2. CALCULUS OF VARIATIONS
3. Calculus of Variations and Optimal Control; Optimization
4. COMPLEXITY
5. COMPUTATIONAL COMPLEXITY
6. COMPUTER SIMULATION
7. Control and Systems Theory
8. Control engineering
9. Control, Robotics, Mechatronics
10. EBOOK
11. EBOOK - SPRINGER
12. Mechatronics
13. ROBOTICS
14. Simulation and Modeling
15. STATISTICAL PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I09519 |
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On Shelf |
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5.
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| Title | Classical and Quantum Physics : 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control |
| Author(s) | Marmo, G;Mart??n de Diego, David;Mu??oz Lecanda, Miguel |
| Publication | Cham, Springer International Publishing, 2019. |
| Description | XXVI, 374 p. 46 illus., 14 illus. in color : online resource |
| Abstract Note | This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas. Most of Albertos???s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics. Let us mention some of the fields of expertise of Alberto Ibort: Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; Yang-Mills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; Wigner-Weyl formalism; Lie-Jordan Algebras, Classical and Quantum; Quantum-to-Classical transition; Contraction of Associative Algebras; contact geometry, among many others. In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic. His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed |
| ISBN,Price | 9783030247485 |
| Keyword(s) | 1. Associative rings
2. Associative Rings and Algebras
3. CALCULUS OF VARIATIONS
4. Calculus of Variations and Optimal Control; Optimization
5. COMPLEX MANIFOLDS
6. DIFFERENTIAL GEOMETRY
7. EBOOK
8. EBOOK - SPRINGER
9. Manifolds (Mathematics)
10. Manifolds and Cell Complexes (incl. Diff.Topology)
11. MATHEMATICAL PHYSICS
12. Rings (Algebra)
13. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08690 |
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On Shelf |
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7.
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| Title | The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb |
| Author(s) | Lieb, Elliott H;Thirring, Walter |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2001. |
| Description | XIII, 812 p. 12 illus : online resource |
| Abstract Note | This collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text for a graduate course in quantum mechanics. In this new edition two new sections have been added: Section 7 contains papers on quantum electrodynamics, and Section 8 on Boson systems. |
| ISBN,Price | 9783662043608 |
| Keyword(s) | 1. ANALYSIS
2. Analysis (Mathematics)
3. CALCULUS OF VARIATIONS
4. Calculus of Variations and Optimal Control; Optimization
5. CONDENSED MATTER
6. CONDENSED MATTER PHYSICS
7. EBOOK
8. EBOOK - SPRINGER
9. MATHEMATICAL ANALYSIS
10. Mathematical Methods in Physics
11. PHYSICS
12. QUANTUM PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11279 |
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On Shelf |
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8.
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| Title | Fractional Dynamics : Applications of Fractional Calculus to Dynamics of Particles, Fields and Media |
| Author(s) | Tarasov, Vasily E |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2010. |
| Description | XV, 505 p : online resource |
| Abstract Note | "Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute |
| ISBN,Price | 9783642140037 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. CALCULUS OF VARIATIONS
4. Calculus of Variations and Optimal Control; Optimization
5. COMPLEX SYSTEMS
6. DYNAMICAL SYSTEMS
7. EBOOK
8. EBOOK - SPRINGER
9. ENGINEERING MATHEMATICS
10. Mathematical and Computational Engineering
11. MATHEMATICAL PHYSICS
12. STATISTICAL PHYSICS
13. Statistical Physics and Dynamical Systems
14. Theoretical, Mathematical and Computational Physics
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I08522 |
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On Shelf |
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9.
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| Title | Nonlinear Least Squares for Inverse Problems : Theoretical Foundations and Step-by-Step Guide for Applications |
| Author(s) | Chavent, Guy |
| Publication | Dordrecht, Springer Netherlands, 2010. |
| Description | XIV, 360 p : online resource |
| Abstract Note | This book provides an introduction into the least squares resolution of nonlinear inverse problems. The first goal is to develop a geometrical theory to analyze nonlinear least square (NLS) problems with respect to their quadratic wellposedness, i.e. both wellposedness and optimizability. Using the results, the applicability of various regularization techniques can be checked. The second objective of the book is to present frequent practical issues when solving NLS problems. Application oriented readers will find a detailed analysis of problems on the reduction to finite dimensions, the algebraic determination of derivatives (sensitivity functions versus adjoint method), the determination of the number of retrievable parameters, the choice of parametrization (multiscale, adaptive) and the optimization step, and the general organization of the inversion code. Special attention is paid to parasitic local minima, which can stop the optimizer far from the global minimum: multiscale parametrization is shown to be an efficient remedy in many cases, and a new condition is given to check both wellposedness and the absence of parasitic local minima. For readers that are interested in projection on non-convex sets, Part II of this book presents the geometric theory of quasi-convex and strictly quasi-convex (s.q.c.) sets. S.q.c. sets can be recognized by their finite curvature and limited deflection and possess a neighborhood where the projection is well-behaved. Throughout the book, each chapter starts with an overview of the presented concepts and results |
| ISBN,Price | 9789048127856 |
| Keyword(s) | 1. APPLIED MATHEMATICS
2. CALCULUS OF VARIATIONS
3. Calculus of Variations and Optimal Control; Optimization
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
7. Mathematical and Computational Engineering
8. Mathematical Methods in Physics
9. Mathematical Modeling and Industrial Mathematics
10. MATHEMATICAL MODELS
11. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07718 |
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On Shelf |
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10.
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| Title | Control Theory in Physics and other Fields of Science : Concepts, Tools, and Applications |
| Author(s) | Schulz, Michael |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. |
| Description | IX, 296 p. 46 illus : online resource |
| Abstract Note | This book covers systematically and in a simple language the mathematical and physical foundations of controlling deterministic and stochastic evolutionary processes in systems with a high degree of complexity. Strong emphasis is placed on concepts, methods and techniques for modelling, assessment and the solution or estimation of control problems in an attempt to understand the large variability of these problems in several branches of physics, chemistry and biology as well as in technology and economics. The main focus of the book is on a clear physical and mathematical understanding of the dynamics and kinetics behind several kinds of control problems and their relation to self-organizing principles in complex systems. The book is a modern introduction and a helpful tool for researchers, engineers as well as post-docs and graduate students interested in an application oriented control theory and related topics |
| ISBN,Price | 9783540324171 |
| Keyword(s) | 1. CALCULUS OF VARIATIONS
2. Calculus of Variations and Optimal Control; Optimization
3. COMPLEX SYSTEMS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK - SPRINGER
7. STATISTICAL PHYSICS
8. Statistical Physics and Dynamical Systems
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07009 |
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On Shelf |
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