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1 Doyle, James F Spectral Analysis of Nonlinear Elastic Shapes I09613 2020 eBook  
2 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I11279 2001 eBook  
3 Truesdell, C The Non-Linear Field Theories of Mechanics I10695 2004 eBook  
4 Khrennikov, Andrei Y Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena I10657 2004 eBook  
5 MacKenzie, R Solitons I10591 2000 eBook  
6 Jacobson, Bo Rolling Contact Phenomena I10564 2000 eBook  
7 Maass, Alejandro Dynamics and Randomness II I10511 2004 eBook  
8 Smirnov, Vladimir A Feynman Integral Calculus I08286 2006 eBook  
9 Zeidler, Eberhard Quantum Field Theory I: Basics in Mathematics and Physics I07526 2006 eBook  
10 Shima, Hiroyuki Higher Mathematics for Physics and Engineering I07454 2010 eBook  
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TitleSpectral Analysis of Nonlinear Elastic Shapes
Author(s)Doyle, James F
PublicationCham, Springer International Publishing, 2020.
DescriptionXI, 409 p : online resource
Abstract NoteThis book concerns the elastic stability of thin-walled structures ??? one of the most challenging problems facing structural engineers because of its high degree of nonlinearity ??? and introduces the innovative approach of using spectral analysis of the shapes and the stiffness to gain insights into the nonlinear deformations. The methodology greatly facilitates correlating the shape changes with the stiffness changes. Professor Doyle also develops specific computer procedures that complement finite element methods so that the ideas and methods are applicable to general structural problems. Basic validity of the procedures is established using key archetypal problems from buckling/post-buckling of columns, arches, curved plates, and cylindrical shells, all worked out in significant detail. The book is ideal for a wide variety of structural engineers, particularly those in aerospace and civil fields. Researchers in computational mechanics also find a rich source of new ideas for post-processing data from nonlinear analyses. Presents an innovative way of tackling nonlinear elastic stability problems with many new results and insights presented; Adopts a thoroughly modern, computationally based approach using finite elements as its basis as well as for its validations; Reinforces reader understanding with a range of practical problems encompassing arbitrary frame and shell structures; Develops concepts systematically starting with basic deformations of structural members followed by analysis of structures with coupled deformations, progressing seemlessly to the nonlinear analysis of structures and buckling/post-buckling behaviors
ISBN,Price9783030594947
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Nonlinear Dynamics and Chaos Theory 4. APPLIED MATHEMATICS 5. CIVIL ENGINEERING 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. MATHEMATICAL ANALYSIS 10. Mathematical and Computational Engineering 11. Measurement Science and Instrumentation 12. Measurement?????? 13. MECHANICAL ENGINEERING 14. PHYSICAL MEASUREMENTS 15. STATISTICAL PHYSICS
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2001.
DescriptionXIII, 812 p. 12 illus : online resource
Abstract NoteThis 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,Price9783662043608
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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TitleThe Non-Linear Field Theories of Mechanics
Author(s)Truesdell, C;Noll, Walter;Antman, Stuart
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionXXX, 602 p : online resource
Abstract NoteNon-Linear Field Theories of Mechanics has become a classic treatise in the field of continuum mechanics. Originally published nearly forty years ago, it probably has influenced practically all subsequent monographs on the subject. Its main parts are: - The General Theory of Material Behavior - Elasticity - Fluidity This third edition includes the corrections made by the late C. Truesdell in his personal copy. It is annotated by W. Noll and by S. Antman who describe the monograph???s genesis and the impact it has made on the modern development of mechanics. Originally published as Volume III/3 of the famous Encyclopedia of Physics in 1965, this book describes and summarizes "everything that was both known and worth knowing in the field at the time." It also greatly contributed to the unification and standardization of the concepts, terms and notations in the field
ISBN,Price9783662103883
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CLASSICAL MECHANICS 4. COMPLEX SYSTEMS 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MECHANICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems
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TitleInformation Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena
Author(s)Khrennikov, Andrei Y
PublicationDordrecht, Springer Netherlands, 2004.
DescriptionXV, 235 p : online resource
Abstract NoteIn this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure
ISBN,Price9789401704793
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. ARTIFICIAL INTELLIGENCE 4. Computer science???Mathematics 5. Discrete Mathematics in Computer Science 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MATHEMATICAL PHYSICS 10. PHILOSOPHY OF MIND 11. Theoretical, Mathematical and Computational Physics
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TitleSolitons : Properties, Dynamics, Interactions, Applications
Author(s)MacKenzie, R;Paranjape, M.B;Zakrzewski, W.J
PublicationNew York, NY, Springer New York, 2000.
DescriptionXXI, 312 p : online resource
Abstract NoteSolitons were discovered by John Scott Russel in 1834, and have interested scientists and mathematicians ever since. They have been the subject of a large body of research in a wide variety of fields of physics and mathematics, not to mention engineering and other branches of science such as biology. This volume comprises the written versions of the talks presented at a workshop held at Queen's University in 1997, an interdisciplinary meeting wherein top researchers from many fields could meet, interact, and exchange ideas. Topics covered include mathematical and numerical aspects of solitons, as well as applications of solitons to nuclear and particle physics, cosmology, and condensed-matter physics. The book should be of interest to researchers in any field in which solitons are encountered
ISBN,Price9781461212546
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Mathematics 4. APPLIED MATHEMATICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. MATHEMATICAL ANALYSIS 9. PHYSICS 10. Physics, general
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TitleRolling Contact Phenomena
Author(s)Jacobson, Bo;Kalker, Joost J
PublicationVienna, Springer Vienna, 2000.
DescriptionVII, 394 p : online resource
Abstract NotePreface.- Rolling Contact Phenomena - Linear Elasticity.- Finite Element Methods for Rolling Contact.- Plastic Deformation in Rolling Contact.- Non-Steady State Rolling Contact and Corrugations.- Modelling of Tyre Force and Moment Generation.- Rolling Noise.- Lubrication
ISBN,Price9783709127827
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Automotive engineering 4. CLASSICAL MECHANICS 5. COMPLEX SYSTEMS 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. Machinery 10. Machinery and Machine Elements 11. MATHEMATICAL ANALYSIS 12. MECHANICS 13. NUMERICAL ANALYSIS 14. STATISTICAL PHYSICS
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TitleDynamics and Randomness II
Author(s)Maass, Alejandro;Mart??nez, Servet;San Mart??n, Jaime
PublicationDordrecht, Springer Netherlands, 2004.
DescriptionVIII, 228 p : online resource
ISBN,Price9781402024696
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Coding and Information Theory 4. CODING THEORY 5. EBOOK 6. EBOOK - SPRINGER 7. INFORMATION THEORY 8. MATHEMATICAL ANALYSIS 9. PROBABILITIES 10. Probability Theory and Stochastic Processes
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TitleFeynman Integral Calculus
Author(s)Smirnov, Vladimir A
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionX, 287 p. 52 illus : online resource
Abstract NoteThe problem of evaluating Feynman integrals over loop momenta has existed from the early days of perturbative quantum field theory. The goal of the book is to summarize those methods for evaluating Feynman integrals that have been developed over a span of more than fifty years. `Feynman Integral Calculus' characterizes the most powerful methods in a systematic way. It concentrates on the methods that have been employed recently for most sophisticated calculations and illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples. It also shows how to choose adequate methods and combine them in a non-trivial way. This is a textbook version of the previous book (Evaluating Feynman integrals, STMP 211) of the author. Problems and solutions have been included, Appendix G has been added, more details have been presented, recent publications on evaluating Feynman integrals have been taken into account and the bibliography has been updated
ISBN,Price9783540306115
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL ANALYSIS 8. QUANTUM FIELD THEORY 9. QUANTUM PHYSICS
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9.     
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TitleQuantum Field Theory I: Basics in Mathematics and Physics : A Bridge between Mathematicians and Physicists
Author(s)Zeidler, Eberhard
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXXIV, 1051 p : online resource
Abstract NoteThis is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which is beyond the usual curriculum in physics. It is the author's goal to present the state of the art of realizing Einstein's dream of a unified theory for the four fundamental forces in the universe (gravitational, electromagnetic, strong, and weak interaction). From the reviews: "??? Quantum field theory is one of the great intellectual edifices in the history of human thought. ??? This volume differs from other books on quantum field theory in its greater emphasis on the interaction of physics with mathematics. ??? an impressive work of scholarship." (William G. Faris, SIAM Review, Vol. 50 (2), 2008) ??"??? it is a fun book for practicing quantum field theorists to browse, and it may be similarly enjoyed by mathematical colleagues. Its ultimate value may lie in encouraging students to enter this challenging interdisciplinary area of mathematics and physics. Summing Up: Recommended. Upper-division undergraduates through faculty." (M. C. Ogilvie, CHOICE, Vol. 44 (9), May, 2007)
ISBN,Price9783540347644
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. FUNCTIONAL ANALYSIS 8. MATHEMATICAL ANALYSIS 9. Mathematical Methods in Physics 10. MATHEMATICAL PHYSICS 11. PARTIAL DIFFERENTIAL EQUATIONS 12. PHYSICS 13. QUANTUM FIELD THEORY 14. Theoretical, Mathematical and Computational Physics
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TitleHigher Mathematics for Physics and Engineering
Author(s)Shima, Hiroyuki;Nakayama, Tsuneyoshi
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2010.
DescriptionXXI, 688 p : online resource
Abstract NoteDue to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields
ISBN,Price9783540878643
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. Applications of Mathematics 4. APPLIED MATHEMATICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. MATHEMATICAL ANALYSIS 9. Mathematical and Computational Engineering 10. Mathematical Methods in Physics 11. MATHEMATICAL PHYSICS 12. PHYSICS 13. Theoretical, Mathematical and Computational Physics
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