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Author | Title | Accn# | Year | Item Type | Claims |
| 31 |
Haupt, Peter |
Continuum Mechanics and Theory of Materials |
I11321 |
2000 |
eBook |
|
| 32 |
Jumarie, Guy |
Maximum Entropy, Information Without Probability and Complex Fractals |
I11255 |
2000 |
eBook |
|
| 33 |
Perlick, Volker |
Ray Optics, Fermat???s Principle, and Applications to General Relativity |
I11221 |
2000 |
eBook |
|
| 34 |
Haupt, Peter |
Continuum Mechanics and Theory of Materials |
I11213 |
2002 |
eBook |
|
| 35 |
Vulpiani, Angelo |
The Kolmogorov Legacy in Physics |
I11195 |
2003 |
eBook |
|
| 36 |
Mensky, M |
Quantum Measurements and Decoherence |
I11141 |
2000 |
eBook |
|
| 37 |
Lakshminarayanan, V |
Lagrangian Optics |
I11103 |
2002 |
eBook |
|
| 38 |
Calogero, Francesco |
Classical Many-Body Problems Amenable to Exact Treatments |
I11078 |
2001 |
eBook |
|
| 39 |
Miron, R |
The Geometry of Higher-Order Hamilton Spaces |
I11044 |
2003 |
eBook |
|
| 40 |
Enns, Richard |
Computer Algebra Recipes |
I11043 |
2001 |
eBook |
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32.
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| Title | Maximum Entropy, Information Without Probability and Complex Fractals : Classical and Quantum Approach |
| Author(s) | Jumarie, Guy |
| Publication | Dordrecht, Springer Netherlands, 2000. |
| Description | XIX, 270 p : online resource |
| Abstract Note | Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one hand, and fuzzy sets on the other), and its main key words are Information Theory, Entropy, Maximum Entropy Principle, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian Motion, Stochastic Differential Equations of Order n, Stochastic Optimal Control, Computer Vision. Our obsession has been always the same: Shannon's information theory should play a basic role in the foundations of sciences, but subject to the condition that it be suitably generalized to allow us to deal with problems which are not necessarily related to communication engineering. With this objective in mind, two questions are of utmost importance: (i) How can we introduce meaning or significance of information in Shannon's information theory? (ii) How can we define and/or measure the amount of information involved in a form or a pattern without using a probabilistic scheme? It is obligatory to find suitable answers to these problems if we want to apply Shannon's theory to science with some chance of success. For instance, its use in biology has been very disappointing, for the very reason that the meaning of information is there of basic importance, and is not involved in this approach |
| ISBN,Price | 9789401594967 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. Coding and Information Theory
4. CODING THEORY
5. COMPLEX SYSTEMS
6. DYNAMICAL SYSTEMS
7. EBOOK
8. EBOOK - SPRINGER
9. ENGINEERING MATHEMATICS
10. INFORMATION THEORY
11. PROBABILITIES
12. Probability Theory and Stochastic Processes
13. STATISTICAL PHYSICS
14. Statistical Physics and Dynamical Systems
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11255 |
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On Shelf |
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33.
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| Title | Ray Optics, Fermat???s Principle, and Applications to General Relativity |
| Author(s) | Perlick, Volker |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2000. |
| Description | X, 222 p : online resource |
| Abstract Note | This book is about the mathematical theory of light propagation in media on general-relativistic spacetimes. The first part discusses the transition from Maxwell's equations to ray optics. The second part establishes a general mathematical framework for treating ray optics as a theory in its own right, making extensive use of the Hamiltonian formalism. This part also includes a detailed discussion of variational principles (i.e., various versions of Fermat's principle) for light rays in general-relativistic media. Some applications, e.g. to gravitational lensing, are worked out. The reader is assumed to have some basic knowledge of general relativity and some familiarity with differential geometry. Some of the results are published here for the first time, e.g. a general-relativistic version of Fermat's principle for light rays in a medium that has to satisfy some regularity condition only |
| ISBN,Price | 9783540466628 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. ASTROPHYSICS
4. Astrophysics and Astroparticles
5. Classical and Quantum Gravitation, Relativity Theory
6. CLASSICAL ELECTRODYNAMICS
7. EBOOK
8. EBOOK - SPRINGER
9. ELECTRODYNAMICS
10. ENGINEERING MATHEMATICS
11. GRAVITATION
12. MAGNETIC MATERIALS
13. MAGNETISM
14. Magnetism, Magnetic Materials
15. Mathematical Methods in Physics
16. OPTICS
17. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11221 |
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On Shelf |
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34.
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| Title | Continuum Mechanics and Theory of Materials |
| Author(s) | Haupt, Peter |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2002. |
| Description | XXVIII, 643 p : online resource |
| Abstract Note | This treatise attempts to portray the ideas and general principles of the theory of materials within the framework of phenomenological continuum mechanics. It is a well-written mathematical introduction to classical continuum mechanics and deals with concepts such as elasticity, plasticity, viscoelasticity and viscoplasticity in nonlinear materials. The aim of a general theory of material behaviour is to provide a classified range of possibilities from which a user can select the constitutive model that applies best. The book will be invaluable to graduate students of materials science in engineering and in physics. The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case |
| ISBN,Price | 9783662047750 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. CLASSICAL MECHANICS
4. CONDENSED MATTER
5. CONDENSED MATTER PHYSICS
6. EBOOK
7. EBOOK - SPRINGER
8. ENGINEERING MATHEMATICS
9. MATERIALS SCIENCE
10. Materials Science, general
11. MECHANICS
12. Mechanics, Applied
13. Theoretical and Applied Mechanics
14. THERMODYNAMICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11213 |
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On Shelf |
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35.
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| Title | The Kolmogorov Legacy in Physics |
| Author(s) | Vulpiani, Angelo;Livi, Roberto |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2003. |
| Description | XV, 247 p : online resource |
| Abstract Note | The present volume, published at the occasion of his 100th birthday anniversary, is a collection of articles that reviews the impact of Kolomogorov's work in the physical sciences and provides an introduction to the modern developments that have been triggered in this way to encompass recent applications in biology, chemistry, information sciences and finance. This book addresses scientists and postgraduate students in applied mathematics and theoretical physics |
| ISBN,Price | 9783540396680 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. COMPLEX SYSTEMS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK - SPRINGER
7. ENGINEERING MATHEMATICS
8. Fluid- and Aerodynamics
9. FLUIDS
10. Mathematical Methods in Physics
11. PHYSICS
12. STATISTICAL PHYSICS
13. Statistical Physics and Dynamical Systems
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11195 |
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On Shelf |
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36.
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| Title | Quantum Measurements and Decoherence : Models and Phenomenology |
| Author(s) | Mensky, M |
| Publication | Dordrecht, Springer Netherlands, 2000. |
| Description | XVI, 231 p : online resource |
| Abstract Note | Quantum measurement (Le., a measurement which is sufficiently precise for quantum effects to be essential) was always one of the most impor?? tant points in quantum mechanics because it most evidently revealed the difference between quantum and classical physics. Now quantum measure?? ment is again under active investigation, first of all because of the practical necessity of dealing with highly precise and complicated measurements. The nature of quantum measurement has become understood much bet?? ter during this new period of activity, the understanding being expressed by the concept of decoherence. This term means a physical process lead?? ing from a pure quantum state (wave function) of the system prior to the measurement to its state after the measurement which includes classical elements. More concretely, decoherence occurs as a result of the entangle?? ment of the measured system with its environment and results in the loss of phase relations between components of the wave function of the measured system. Decoherence is essentially nothing else than quantum measurement, but considered from the point of view of its physical mechanism and resolved in time. The present book is devoted to the two concepts of quantum measure?? ment and decoherence and to their interrelation, especially in the context of continuous quantum measurement |
| ISBN,Price | 9789401595667 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. EBOOK
4. EBOOK - SPRINGER
5. ENGINEERING MATHEMATICS
6. MATHEMATICAL PHYSICS
7. METAPHYSICS
8. PROBABILITIES
9. Probability Theory and Stochastic Processes
10. QUANTUM PHYSICS
11. 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 |
| I11141 |
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On Shelf |
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37.
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| Title | Lagrangian Optics |
| Author(s) | Lakshminarayanan, V;Ghatak, Ajoy;Thyagarajan, K |
| Publication | New York, NY, Springer US, 2002. |
| Description | X, 227 p : online resource |
| Abstract Note | Ingeometrical optics, light propagation is analyzed in terms of light rays which define the path of propagation of light energy in the limitofthe optical wavelength tending to zero. Many features oflight propagation can be analyzed in terms ofrays,ofcourse, subtle effects near foci, caustics or turning points would need an analysis based on the wave natureoflight. Allofgeometric optics can be derived from Fermat's principle which is an extremum principle. The counterpart in classical mechanics is of course Hamilton's principle. There is a very close analogy between mechanics ofparticles and optics oflight rays. Much insight (and useful results) can be obtained by analyzing these analogies. Asnoted by H. Goldstein in his book Classical Mechanics (Addison Wesley, Cambridge, MA, 1956), classical mechanics is only a geometrical optics approximation to a wave theory! In this book we begin with Fermat's principle and obtain the Lagrangian and Hamiltonian pictures of ray propagation through various media. Given the current interest and activity in optical fibers and optical communication, analysis of light propagation in inhomogeneous media is dealt with in great detail. The past decade has witnessed great advances in adaptive optics and compensation for optical aberrations. The formalism described herein can be used to calculate aberrations ofoptical systems. Toward the end of the book, we present application of the formalism to current research problems. Of particular interest is the use of dynamic programming techniques which can be used to handle variational/extremum problems. This method has only recently been applied to opticalproblems |
| ISBN,Price | 9781461517115 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. CLASSICAL MECHANICS
4. EBOOK
5. EBOOK - SPRINGER
6. ELECTRICAL ENGINEERING
7. ENGINEERING MATHEMATICS
8. LASERS
9. MECHANICS
10. Optics, Lasers, Photonics, Optical Devices
11. PHOTONICS
|
| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11103 |
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On Shelf |
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38.
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| Title | Classical Many-Body Problems Amenable to Exact Treatments : (Solvable and/or Integrable and/or Linearizable...) in One-, Two- and Three-Dimensional Space |
| Author(s) | Calogero, Francesco |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2001. |
| Description | XVIII, 749 p : online resource |
| Abstract Note | This book focuses on exactly treatable classical (i.e. non-quantal non-relativistic) many-body problems, as described by Newton's equation of motion for mutually interacting point particles. Most of the material is based on the author's research and is published here for the first time in book form. One of the main novelties is the treatment of problems in two- and three-dimensional space. Many related techniques are presented, e.g. the theory of generalized Lagrangian-type interpolation in higher-dimensional spaces. This book is written for students as well as for researchers; it works out detailed examples before going on to treat more general cases. Many results are presented via exercises, with clear hints pointing to their solutions |
| ISBN,Price | 9783540447306 |
| Keyword(s) | 1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. CLASSICAL MECHANICS
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
7. MATHEMATICAL PHYSICS
8. MECHANICS
9. 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 |
| I11078 |
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On Shelf |
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40.
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| Title | Computer Algebra Recipes : A Gourmet???s Guide to the Mathematical Models of Science |
| Author(s) | Enns, Richard;McGuire, George C |
| Publication | New York, NY, Springer New York, 2001. |
| Description | XIV, 778 p : online resource |
| Abstract Note | Computer algebra systems have the potential to revolutionize the teaching of and learning of science. Not only can students work thorough mathematical models much more efficiently and with fewer errors than with pencil and paper, they can also work with much more complex and computationally intensive models. Thus, for example, in studying the flight of a golf ball, students can begin with the simple parabolic trajectory, but then add the effects of lift and drag, of winds, and of spin. Not only can the program provide analytic solutions in some cases, it can also produce numerical solutions and graphic displays. Aimed at undergraduates in their second or third year, this book is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, chemistry. The text is organized along a spiral, revisiting general topics such as graphics, symbolic computation, and numerical simulation in greater detail and more depth at each turn of the spiral. The heart of the text is a large number of computer algebra recipes. These have been designed not only to provide tools for problem solving, but also to stimulate the reader's imagination. Associated with each recipe is a scientific model or method and a story that leads the reader through steps of the recipe.??Each section of recipes is followed by a set of problems that readers can use to check their understanding or to develop the topic further |
| ISBN,Price | 9781461301714 |
| Keyword(s) | 1. ALGEBRA
2. Applications of Mathematics
3. APPLIED MATHEMATICS
4. Computational Intelligence
5. Computer science???Mathematics
6. EBOOK
7. EBOOK - SPRINGER
8. ENGINEERING MATHEMATICS
9. Mathematical and Computational Engineering
10. PHYSICS
11. Physics, general
12. Symbolic and Algebraic Manipulation
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11043 |
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On Shelf |
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