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Author  Title  Accn#  Year  Item Type  Claims 
1 
Bedford, Anthony 
Hamilton???s Principle in Continuum Mechanics 
I11933 
2021 
eBook 

2 
L??ber, Jakob 
Optimal Trajectory Tracking of Nonlinear Dynamical Systems 
I09534 
2017 
eBook 

3 
Nelles, Oliver 
Nonlinear System Identification 
I09519 
2020 
eBook 

4 
Marmo, G 
Classical and Quantum Physics 
I08690 
2019 
eBook 

5 
Mbiock, Aristide 
Radiation in Enclosures 
I11457 
2000 
eBook 

6 
Lieb, Elliott H 
The Stability of Matter: From Atoms to Stars 
I11279 
2001 
eBook 

7 
Tarasov, Vasily E 
Fractional Dynamics 
I08522 
2010 
eBook 

8 
Chavent, Guy 
Nonlinear Least Squares for Inverse Problems 
I07718 
2010 
eBook 

9 
Schulz, Michael 
Control Theory in Physics and other Fields of Science 
I07009 
2006 
eBook 

10 
Basdevant, JeanLouis 
Variational Principles in Physics 
I06783 
2007 
eBook 


1.


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 nonconservative 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

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I11933 


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2.


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 wellknown 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 selfcontained 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I09534 


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3.


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 selfcontained, 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 realworld applications. In the past, nonlinear system identification was a field characterized by a variety of adhoc 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I09519 


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4.


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, 59 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; YangMills 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; WignerWeyl formalism; LieJordan Algebras, Classical and Quantum; QuantumtoClassical 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

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08690 


On Shelf 




6.


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

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Call#  Status  Issued To  Return Due On  Physical Location 
I11279 


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7.


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 noninteger orders in describing systems with longtime memory, nonlocal spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, nonlocal statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with nonlocal 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I08522 


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8.


Title  Nonlinear Least Squares for Inverse Problems : Theoretical Foundations and StepbyStep 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 nonconvex sets, Part II of this book presents the geometric theory of quasiconvex and strictly quasiconvex (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 wellbehaved. 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I07718 


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9.


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 selforganizing principles in complex systems. The book is a modern introduction and a helpful tool for researchers, engineers as well as postdocs 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I07009 


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10.
 
Title  Variational Principles in Physics 
Author(s)  Basdevant, JeanLouis 
Publication  New York, NY, Springer New York, 2007. 
Description  X, 183 p : online resource 
Abstract Note  Optimization under constraints is an essential part of everyday life. Indeed, we routinely solve problems by striking a balance between contradictory interests, individual desires and material contingencies. This notion of equilibrium was dear to thinkers of the enlightenment, as illustrated by Montesquieu???s famous formulation: "In all magistracies, the greatness of the power must be compensated by the brevity of the duration." Astonishingly, natural laws are guided by a similar principle. Variational principles have proven to be surprisingly fertile. For example, Fermat used variational methods to demonstrate that light follows the fastest route from one point to another, an idea which came to be known as Fermat???s principle, a cornerstone of geometrical optics. Variational Principles in Physics explains variational principles and charts their use throughout modern physics. The heart of the book is devoted to the analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. Prof. Basdevant also offers simple but rich first impressions of Einstein???s General Relativity, Feynman???s Quantum Mechanics, and more revealing and amazing interconnections between various fields of physics. A graduate of the Ecole Normale Superieure, JeanLouis Basdevant is Professor and former Chair of the Department of Physics at the Ecole Polytechnique, and Director of Research for the CNRS. Specializing in the theoretical physics of elementary particles, quantum field theory and astrophysics, Prof. Basdevant works in the LeprinceRinguet Laboratory at the Ecole Polytechnique 
ISBN,Price  9780387377483 
Keyword(s)  1. CALCULUS OF VARIATIONS
2. Calculus of Variations and Optimal Control; Optimization
3. CLASSICAL MECHANICS
4. EBOOK
5. EBOOK  SPRINGER
6. History and Philosophical Foundations of Physics
7. Mathematical Methods in Physics
8. MATHEMATICAL OPTIMIZATION
9. MECHANICS
10. Mechanics, Applied
11. OPTIMIZATION
12. PHYSICS
13. Theoretical and Applied Mechanics

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Call#  Status  Issued To  Return Due On  Physical Location 
I06783 


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