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151 Arkeryd, Leif O Nonstandard Analysis I01155 1997 eBook  
152 Grib, Andrey Anatoljevich Nonlocality in Quantum Physics I00548 1999 eBook  
153 Shvartsburg, Alex Impulse Time-Domain Electromagnetics of Continuous Media I00411 1999 eBook  
154 Conte, Robert The Painlev?? Property I00361 1999 eBook  
155 Lewins, Jeffery Advances in Nuclear Science and Technology I00202 1999 eBook  
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151.    
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TitleNonstandard Analysis : Theory and Applications
Author(s)Arkeryd, Leif O;Cutland, Nigel J;Henson, C. Ward
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXIV, 366 p : online resource
Abstract Note1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im?? portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental themes re?? cur. The nonstandard framework allows many informal ideas (that could loosely be described as idealisation) to be made precise and tractable. For example, the real line can (in this framework) be treated simultaneously as both a continuum and a discrete set of points; and a similar dual ap?? proach can be used to link the notions infinite and finite, rough and smooth. This has provided some powerful tools for the research mathematician - for example Loeb measure spaces in stochastic analysis and its applications, and nonstandard hulls in Banach spaces. The achievements of NSA can be summarised under the headings (i) explanation - giving fresh insight or new approaches to established theories; (ii) discovery - leading to new results in many fields; (iii) invention - providing new, rich structures that are useful in modelling and representation, as well as being of interest in their own right. The aim of the present volume is to make the power and range of appli?? cability of NSA more widely known and available to research mathemati?? cians
ISBN,Price9789401155441
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Mathematics 4. APPLIED MATHEMATICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Fluid- and Aerodynamics 9. FLUIDS 10. FUNCTIONAL ANALYSIS 11. MATHEMATICAL ANALYSIS 12. PROBABILITIES 13. Probability Theory and Stochastic Processes
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I01155     On Shelf    

152.     
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TitleNonlocality in Quantum Physics
Author(s)Grib, Andrey Anatoljevich;Rodrigues Jr., Waldyr Alves
PublicationNew York, NY, Springer US, 1999.
DescriptionX, 225 p : online resource
Abstract NoteThe nonlocality phenomena exhibited by entangled quantum systems are certainly one of the most extraordinary aspects of quantum theory. This book discusses this phe?? nomenon according to several points of view, i.e., according to different interpretations of the mathematics of the quantum formalism. The several interpretations of the Copenhagen interpretation, the many worlds, the de Broglie-Bohm, quantum logics, the decohering by the environment approach and the histories approach interpretations are scrutinized and criticized in detail. Recent results on cryptography, quantum bit commitment, quantum erasers and teleportation are also presented and discussed. In preparing the book we benefited from discussions with many people, but we would like, in particular, to express our gratitude to Professor B. d'Espagnat for his useful comments and suggestions. We are grateful also to Ms. L. Gentry EI-Dash for the English revision, to Dr. 1. E. Maiorino for the production of the figures and a careful reading of the manuscript, and for the statI of Plenum for advice and for having produced a nice book. Finally, the authors thank FAPESP (contract no. I 99612657-0) for a grant making this book possible. A. A. ORIB AND W. A. RODRIGUES, JR
ISBN,Price9781461546870
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. ENGINEERING MATHEMATICS 8. MATHEMATICAL PHYSICS 9. Philosophy and science 10. PHILOSOPHY OF SCIENCE 11. QUANTUM FIELD THEORY 12. Theoretical, Mathematical and Computational Physics
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I00548     On Shelf    

153.     
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TitleImpulse Time-Domain Electromagnetics of Continuous Media
Author(s)Shvartsburg, Alex
PublicationBoston, MA, 1. Birkh??user Boston 2. Imprint: Birkh??user, 1999.
DescriptionXV, 168 p : online resource
Abstract Notetion of fields as a product of coordinate-dependent and time-dependent factors. The temporal variations of both media and fields are given by Fourier expansions. The successes of radiotechnique provided fertile ground for the dominance of sinusoidal waves in wave physics. This approach proved to be a powerful the?? oretical tool, since researchers were dealing with long trains of slowly varying quasi-monochromatic waves. However, the success of this concept and the stan?? dardizability of related designs engendered a peculiar psychological hypnosis of Fourier electromagnetics, which took over as a model for wave phenomena in such cross-discipIlnary areas of physics as optics and acoustics. Yet in providing a description of alternating fields, the presentation of such fields in terms of traveling waves with frequency wand wave number k is not a law of nature. One can see that such a presentation is not even a logical corollary of Maxwell's equations. What is more, this approach has become inadequate today for the analysis of fields excited by ultrashort transients in continuous media
ISBN,Price9781461207733
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. Mathematical and Computational Engineering 7. Mathematical Methods in Physics 8. MECHANICS 9. Mechanics, Applied 10. PARTIAL DIFFERENTIAL EQUATIONS 11. PHYSICS 12. Solid Mechanics
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I00411     On Shelf    

154.     
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TitleThe Painlev?? Property : One Century Later
Author(s)Conte, Robert
PublicationNew York, NY, Springer New York, 1999.
DescriptionXXVI, 810 p : online resource
ISBN,Price9781461215325
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ENGINEERING MATHEMATICS 6. MATHEMATICAL PHYSICS 7. Theoretical, Mathematical and Computational Physics
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I00361     On Shelf    

155.    
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TitleAdvances in Nuclear Science and Technology
Author(s)Lewins, Jeffery;Becker, Martin
PublicationNew York, NY, Springer US, 1999.
DescriptionXIII, 169 p : online resource
Abstract NoteSince its initiation in 1962, this series has presented authoritative reviews of the most important developments in nuclear science and engineering, from both theoretical and applied perspectives. In addition, many original contributions are included
ISBN,Price9780306470882
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. Atomic, Molecular, Optical and Plasma Physics 4. ATOMS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Heavy ions 9. MATHEMATICAL PHYSICS 10. NUCLEAR ENERGY 11. NUCLEAR PHYSICS 12. Nuclear Physics, Heavy Ions, Hadrons 13. PHYSICS 14. Theoretical, Mathematical and Computational Physics
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I00202     On Shelf    

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