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151 Driebe, Dean J Fully Chaotic Maps and Broken Time Symmetry I01893 1999 eBook  
152 Fletcher, Clive A.J Computational Techniques for Fluid Dynamics 2 I01631 1991 eBook  
153 Kukulin, V.I Theory of Resonances I01591 1989 eBook  
154 Dewitt-Morette, C??cile Quantum Field Theory: Perspective and Prospective I01572 1999 eBook  
155 Assis, Andre Koch Torres Weber???s Electrodynamics I01566 1994 eBook  
156 Bozh??y??k, M.E Topics in Knot Theory I01396 1993 eBook  
157 Hurtubise, Jacques Gauge Theory and Symplectic Geometry I01274 1997 eBook  
158 Chossat, Pascal Dynamics, Bifurcation and Symmetry I01266 1994 eBook  
159 Arkeryd, Leif O Nonstandard Analysis I01155 1997 eBook  
160 Grib, Andrey Anatoljevich Nonlocality in Quantum Physics I00548 1999 eBook  
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151.    
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TitleFully Chaotic Maps and Broken Time Symmetry
Author(s)Driebe, Dean J
PublicationDordrecht, Springer Netherlands, 1999.
DescriptionX, 166 p : online resource
Abstract NoteI am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry. Despite the technical title this book deals with a problem of fundamental importance. To appreciate its meaning we have to go back to the tragic struggle that was initiated by the work of the great theoretical physicist Ludwig Boltzmann in the second half of the 19th century. Ludwig Boltzmann tried to emulate in physics what Charles Darwin had done in biology and to formulate an evolutionary approach in which past and future would play different roles. Boltzmann's work has lead to innumerable controversies as the laws of classical mechanics (as well as the laws of quan?? tum mechanics) as traditionally formulated imply symmetry between past and future. As is well known, Albert Einstein often stated that "Time is an illusion". Indeed, as long as dynamics is associated with trajectories satisfy?? ing the equations of classical mechanics, explaining irreversibility in terms of trajectories appears, as Henri Poincare concluded, as a logical error. After a long struggle, Boltzmann acknowledged his defeat and introduced a probabil?? ity description in which all microscopic states are supposed to have the same a priori probability. Irreversibility would then be due to the imperfection of our observations associated only with the "macroscopic" state described by temperature, pressure and other similar parameters. Irreversibility then appears devoid of any fundamental significance. However today this position has become untenable
ISBN,Price9789401716284
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. MECHANICS 10. OPERATOR THEORY 11. PROBABILITIES 12. Probability Theory and Stochastic Processes 13. STATISTICAL PHYSICS 14. Statistical Physics and Dynamical Systems
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152.     
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TitleComputational Techniques for Fluid Dynamics 2 : Specific Techniques for Different Flow Categories
Author(s)Fletcher, Clive A.J
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1991.
DescriptionXIV, 494 p. 3 illus : online resource
Abstract NoteThe purpose and organisation of this book are described in the preface to the first edition (1988). In preparing this edition minor changes have been made, par?? ticularly to Chap. 1 (Vol. 1) to keep it reasonably current, and to upgrade the treatment of specific techniques, particularly in Chaps. 12-14 and 16-18. How?? ever, the rest of the book (Vols. 1 and 2) has required only minor modification to clarify the presentation and to modify or replace individual problems to make them more effective. The answers to the problems are available in Solutions Manual jor Computational Techniques jor Fluid Dynamics by K. Srinivas and C. A. J. Fletcher, published by Springer-Verlag, Heidelberg, 1991. The computer programs have also been reviewed and tidied up. These are available on an IBM?? compatible floppy disc direct from the author. I would like to take this opportunity to thank the many readers for their usually generous comments about the first edition and particularly those readers who went to the trouble of drawing specific errors to my attention. In this revised edi?? tion considerable effort has been made to remove a number of minor errors that had found their way into the original. I express the hope that no errors remain but welcome communication that will help me improve future editions. In preparing this revised edition I have received considerable help from Dr. K
ISBN,Price9783642582394
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. Classical and Continuum Physics 4. Computational Science and Engineering 5. Computer mathematics 6. Continuum physics 7. EBOOK 8. EBOOK - SPRINGER 9. ENGINEERING MATHEMATICS 10. Fluid- and Aerodynamics 11. FLUIDS 12. Mathematical and Computational Engineering 13. Numerical and Computational Physics, Simulation 14. PHYSICS
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153.     
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TitleTheory of Resonances : Principles and Applications
Author(s)Kukulin, V.I;Krasnopolsky, V.M;Hor??cek, J
PublicationDordrecht, Springer Netherlands, 1989.
DescriptionVIII, 347 p : online resource
ISBN,Price9789401578172
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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154.     
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TitleQuantum Field Theory: Perspective and Prospective
Author(s)Dewitt-Morette, C??cile;Zuber, Jean-Bernard
PublicationDordrecht, Springer Netherlands, 1999.
DescriptionXX, 403 p. 24 illus : online resource
Abstract NoteIt has been said that `String theorists talk to string theorists and everyone else wonders what they are saying'. This book will be a great help to those researchers who are challenged by modern quantum field theory. Quantum field theory experienced a renaissance in the late 1960s. Here, participants in the Les Houches sessions of 1970/75, now key players in quantum field theory and its many impacts, assess developments in their field of interest and provide guidance to young researchers challenged by these developments, but overwhelmed by their complexities. The book is not a textbook on string theory, rather it is a complement to Polchinski's book on string theory. It is a survey of current problems which have their origin in quantum field theory
ISBN,Price9789401145428
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Applications of Mathematics 3. APPLIED MATHEMATICS 4. CONDENSED MATTER 5. CONDENSED MATTER PHYSICS 6. EBOOK 7. EBOOK - SPRINGER 8. Elementary particles (Physics) 9. Elementary Particles, Quantum Field Theory 10. ENGINEERING MATHEMATICS 11. MATHEMATICAL PHYSICS 12. QUANTUM FIELD THEORY 13. Theoretical, Mathematical and Computational Physics
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155.     
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TitleWeber???s Electrodynamics
Author(s)Assis, Andre Koch Torres
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXIV, 274 p : online resource
Abstract Note"Great progress has been made in electrical science, chiefly in Germany, by cultivators of the theory of action at a distance. The valuable electrical measurements of W. Weber are interpreted by him according to this theory, and the electromagnetic speculation which was originated by Gauss, and carried on by Weber, Riemann, F. and C. Neumann, Lorenz, etc. , is founded on the theory of action at a distance, but depending either directly on the relative velocity of the particles, or on the gradual propagation of something, whether potential or force, from the one particle to the other. The great success which these eminent men have attained in the application of mathematics to electrical phenomena, gives, as is natural, additional weight to their theoretical speculations, so that those who, as students of electricity, turn to them as the greatest authorities in mathematical electricity, would probably imbibe, along with their mathematical methods, their physical hypothesis. These physical hypotheses, however, are entirely alien from the way of looking at things which I adopt, and one object which I have in view is that some of those who wish to study electricity may, by reading this treatise, come to see that there is another way of treating the subject, which is no less fitted to explain the phenomena, and which, though in some parts it may appear less definite, corresponds, as I think, more faithfuHy with our actual knowledge, both in what it affirms and in what it leaves undecided
ISBN,Price9789401736701
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRICAL ENGINEERING 6. ENGINEERING MATHEMATICS 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. Physics, general 10. Theoretical, Mathematical and Computational Physics
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156.     
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TitleTopics in Knot Theory
Author(s)Bozh??y??k, M.E
PublicationDordrecht, Springer Netherlands, 1993.
DescriptionXIV, 353 p : online resource
Abstract NoteTopics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions. For mathematicians, graduate students and scientists interested in knot theory
ISBN,Price9789401116954
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. COMPUTER GRAPHICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. GEOMETRY 8. GROUP THEORY 9. Group Theory and Generalizations 10. MATHEMATICAL PHYSICS 11. Theoretical, Mathematical and Computational Physics
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157.     
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TitleGauge Theory and Symplectic Geometry
Author(s)Hurtubise, Jacques;Lalonde, Fran??ois
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXVII, 212 p : online resource
Abstract NoteGauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines. The present book, with expertly written surveys of recent developments in these areas, includes some of the first expository material of Seiberg-Witten theory, which has revolutionised the subjects since its introduction in late 1994. Topics covered include: introductions to Seiberg-Witten theory, to applications of the S-W theory to four-dimensional manifold topology, and to the classification of symplectic manifolds; an introduction to the theory of pseudo-holomorphic curves and to quantum cohomology; algebraically integrable Hamiltonian systems and moduli spaces; the stable topology of gauge theory, Morse-Floer theory; pseudo-convexity and its relations to symplectic geometry; generating functions; Frobenius manifolds and topological quantum field theory
ISBN,Price9789401716673
Keyword(s)1. ALGEBRAIC TOPOLOGY 2. Applications of Mathematics 3. APPLIED MATHEMATICS 4. DIFFERENTIAL GEOMETRY 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. GLOBAL ANALYSIS (MATHEMATICS) 9. Global Analysis and Analysis on Manifolds 10. Manifolds (Mathematics) 11. PARTIAL DIFFERENTIAL EQUATIONS
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158.     
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TitleDynamics, Bifurcation and Symmetry : New Trends and New Tools
Author(s)Chossat, Pascal
PublicationDordrecht, Springer Netherlands, 1994.
DescriptionXV, 354 p : online resource
Abstract NoteThis book collects contributions to the conference" Dynamics, Bifurcation and Symmetry, new trends and new tools", which was held at the Institut d'Etudes Sci?? entifiques de Cargese (France), September 3-9, 1993. The first aim of this conference was to gather and summarize the work of the European Bifurcation Theory Group after two years of existence (the EBTG links european laboratories in five countries via an EC grant). Thanks to a NATO ARW grant, the conference developed into an international meeting on bifurcation theory and dynamical systems, with the partic?? ipation of leading specialists not only from Europe but also from overseas countries (Canada, USA, South America). It was a great satisfaction to notice the active, and quite enthusiastic participation of many young scientists. This is reflected in the present book for which many contributors are PhD students or post-doc researchers. Although several "big" themes (bifurcation with symmetry, low dimensional dynam?? ics, dynamics in EDP's, applications, . . . ) are present in these proceedings, we have divided the book into corresponding parts. In fact these themes overlap in most contributions, which seems to reflect a general tendancy in nonlinear science. I am very pleased to thank for their support the NATO International Exchange Scientific Program as well as the EEC Science Program, which made possible the suc?? cess of this conference
ISBN,Price9789401109567
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. DIFFERENTIAL EQUATIONS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. GLOBAL ANALYSIS (MATHEMATICS) 8. Global Analysis and Analysis on Manifolds 9. Manifolds (Mathematics) 10. ORDINARY DIFFERENTIAL EQUATIONS
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159.     
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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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160.    
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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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