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11 Lieb, E.H Statistical Mechanics I11351 2004 eBook  
12 Buttkus, Burkhard Spectral Analysis and Filter Theory in Applied Geophysics I11158 2000 eBook  
13 Hamhalter, J Quantum Measure Theory I10731 2003 eBook  
14 Pavsic, M The Landscape of Theoretical Physics: A Global View I10575 2002 eBook  
15 Gupta, Ved Prakash The Functional Analysis of Quantum Information Theory I08428 2015 eBook  
16 Alabiso, Carlo A Primer on Hilbert Space Theory I08208 2015 eBook  
17 Esposito, Chiara Formality Theory I07996 2015 eBook  
18 Zeidler, Eberhard Quantum Field Theory I: Basics in Mathematics and Physics I07526 2006 eBook  
19 Cicogna, Giampaolo Metodi matematici della Fisica I07356 2015 eBook  
20 Butz, Tilman Fourier Transformation for Pedestrians I07050 2006 eBook  
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11.    
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TitleStatistical Mechanics : Selecta of Elliott H. Lieb
Author(s)Lieb, E.H;Nachtergaele, Bruno;Solovej, Jan Philip;Yngvason, Jakob
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2004.
DescriptionX, 508 p : online resource
Abstract NoteIn Statistical Physics one of the ambitious goals is to derive rigorously, from statistical mechanics, the thermodynamic properties of models with realistic forces. Elliott Lieb is a mathematical physicist who meets the challenge of statistical mechanics head on, taking nothing for granted and not being content until the purported consequences have been shown, by rigorous analysis, to follow from the premises. The present volume contains a selection of his contributions to the field, in particular papers dealing with general properties of Coulomb systems, phase transitions in systems with a continuous symmetry, lattice crystals, and entropy inequalities. It also includes work on classical thermodynamics, a discipline that, despite many claims to the contrary, is logically independent of statistical mechanics and deserves a rigorous and unambiguous foundation of its own. The articles in this volume have been carefully annotated by the editors
ISBN,Price9783662100189
Keyword(s)1. COMPLEX SYSTEMS 2. CONDENSED MATTER 3. CONDENSED MATTER PHYSICS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. FUNCTIONAL ANALYSIS 8. Mathematical Methods in Physics 9. PHYSICS 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems 12. THERMODYNAMICS
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12.     
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TitleSpectral Analysis and Filter Theory in Applied Geophysics
Author(s)Buttkus, Burkhard
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2000.
DescriptionXV, 667 p : online resource
Abstract NoteThis book is intended to be an introduction to the fundamentals and methods of spectral analysis and filter theory and their appli?? cations in geophysics. The principles and theoretical basis of the various methods are described, their efficiency and effectiveness eval?? uated, and instructions provided for their practical application. Be?? sides the conventional methods, newer methods arediscussed, such as the spectral analysis ofrandom processes by fitting models to the ob?? served data, maximum-entropy spectral analysis and maximum-like?? lihood spectral analysis, the Wiener and Kalman filtering methods, homomorphic deconvolution, and adaptive methods for nonstation?? ary processes. Multidimensional spectral analysis and filtering, as well as multichannel filters, are given extensive treatment. The book provides a survey of the state-of-the-art of spectral analysis and fil?? ter theory. The importance and possibilities ofspectral analysis and filter theory in geophysics for data acquisition, processing and eval?? uation are illustrated with practical examples from various fields of applied geophysics. Although this book was planned primarily as a textbook for a course on the analysis of geophysical time?? series, it may also be of interest to scientists and engineers who process other digital data. It provides a comprehensive discussion of the theoretical fundamen?? tals and a compilation of the extensive literature on the subject. I hope that I have succeeded in presenting the various principles and methods of time-series analysis comprehensively and without error. Comments on errors or suggestions for improvements are welcome
ISBN,Price9783642570162
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. ASTROPHYSICS 4. Astrophysics and Astroparticles 5. EBOOK 6. EBOOK - SPRINGER 7. FUNCTIONAL ANALYSIS 8. GEOLOGY 9. GEOPHYSICS 10. Geophysics and Environmental Physics 11. Geophysics/Geodesy 12. Observations, Astronomical
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13.     
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TitleQuantum Measure Theory
Author(s)Hamhalter, J
PublicationDordrecht, Springer Netherlands, 2003.
DescriptionVIII, 410 p : online resource
ISBN,Price9789401701198
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONAL ANALYSIS 4. OPERATOR THEORY 5. QUANTUM PHYSICS
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14.     
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TitleThe Landscape of Theoretical Physics: A Global View : From Point Particles to the Brane World and Beyond in Search of a Unifying Principle
Author(s)Pavsic, M
PublicationDordrecht, Springer Netherlands, 2002.
DescriptionXXII, 374 p : online resource
Abstract NoteToday many important directions of research are being pursued more or less independently of each other. These are, for instance, strings and mem branes, induced gravity, embedding of spacetime into a higher dimensional space, the brane world scenario, the quantum theory in curved spaces, Fock Schwinger proper time formalism, parametrized relativistic quantum the ory, quantum gravity, wormholes and the problem of ???time machines???, spin and supersymmetry, geometric calculus based on Clifford algebra, various interpretations of quantum mechanics including the Everett interpretation, and the recent important approach known as ???decoherence???. A big problem, as I see it, is that various people thoroughly investigate their narrow field without being aware of certain very close relations to other fields of research. What we need now is not only to see the trees but also the forest. In the present book I intend to do just that: to carry out a first approximation to a synthesis of the related fundamental theories of physics. I sincerely hope that such a book will be useful to physicists. From a certain viewpoint the book could be considered as a course in the oretical physics in which the foundations of all those relevant fundamental theories and concepts are attempted to be thoroughly reviewed. Unsolved problems and paradoxes are pointed out. I show that most of those ap proaches have a common basis in the theory of unconstrained membranes. The very interesting and important concept of membrane space, the tensor calculus in and functional transformations in are discussed
ISBN,Price9780306471360
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. FUNCTIONAL ANALYSIS 8. MATHEMATICAL PHYSICS 9. QUANTUM FIELD THEORY 10. QUANTUM PHYSICS 11. Rings (Algebra) 12. Theoretical, Mathematical and Computational Physics
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15.     
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TitleThe Functional Analysis of Quantum Information Theory : A Collection of Notes Based on Lectures by Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter
Author(s)Gupta, Ved Prakash;Mandayam, Prabha;Sunder, V.S
PublicationCham, Springer International Publishing, 2015.
DescriptionXI, 139 p : online resource
Abstract NoteThis book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of operator algebras, which forms the underpinning of most current mathematical treatments of the quantum theory, besides being one of the most dynamic areas of twentieth century functional analysis. Today, von Neumann???s foresight finds expression in the rapidly growing field of quantum information theory. These notes gather the content of lectures given by a very distinguished group of mathematicians and quantum information theorists, held at the IMSc in Chennai some years ago, and great care has been taken to present the material as a primer on the subject matter. Starting from the basic definitions of operator spaces and operator systems, this text proceeds to discuss several important theorems including Stinespring???s dilation theorem for completely positive maps and Kirchberg???s theorem on tensor products of C*-algebras. It also takes a closer look at the abstract characterization of operator systems and, motivated by the requirements of different tensor products in quantum information theory, the theory of tensor products in operator systems is discussed in detail. On the quantum information side, the book offers a rigorous treatment of quantifying entanglement in bipartite quantum systems, and moves on to review four different areas in which ideas from the theory of operator systems and operator algebras play a natural role: the issue of zero-error communication over quantum channels, the strong subadditivity property of quantum entropy, the different norms on quantum states and the corresponding induced norms on quantum channels, and, lastly, the applications of matrix-valued random variables in the quantum information setting
ISBN,Price9783319167183
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONAL ANALYSIS 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. PHYSICS 7. QUANTUM COMPUTERS 8. Quantum computing 9. QUANTUM PHYSICS
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16.     
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TitleA Primer on Hilbert Space Theory : Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups
Author(s)Alabiso, Carlo;Weiss, Ittay
PublicationCham, Springer International Publishing, 2015.
DescriptionXVII, 255 p. 5 illus : online resource
Abstract NoteThis book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high mathematical difficulty of even the simplest physical case. Within an ordinary graduate course in physics there is insufficient time to cover the theory of Hilbert spaces and operators, as well as distribution theory, with sufficient mathematical rigor. Compromises must be found between full rigor and practical use of the instruments. The book is based on the author's lessons on functional analysis for graduate students in physics. It will equip the reader to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. With respect to the original lectures, the mathematical flavor in all subjects has been enriched. Moreover, a brief introduction to topological groups has been added in addition to exercises and solved problems throughout the text. With these improvements, the book can be used in upper undergraduate and lower graduate courses, both in Physics and in Mathematics
ISBN,Price9783319037134
Keyword(s)1. ALGEBRAIC TOPOLOGY 2. EBOOK 3. EBOOK - SPRINGER 4. FUNCTIONAL ANALYSIS 5. Mathematical Methods in Physics 6. PHYSICS
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17.     
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TitleFormality Theory : From Poisson Structures to Deformation Quantization
Author(s)Esposito, Chiara
PublicationCham, Springer International Publishing, 2015.
DescriptionXII, 90 p. 4 illus : online resource
Abstract NoteThis book is a survey of the theory of formal deformation quantization of Poisson manifolds, in the formalism developed by Kontsevich. It is intended as an educational introduction for mathematical physicists who are dealing with the subject for the first time. The main topics covered are the theory of Poisson manifolds, star products and their classification, deformations of associative algebras and the formality theorem. Readers will also be familiarized with the relevant physical motivations underlying the purely mathematical construction
ISBN,Price9783319092904
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONAL ANALYSIS 4. MATHEMATICAL PHYSICS 5. Quantum Field Theories, String Theory 6. QUANTUM FIELD THEORY 7. STRING THEORY
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18.     
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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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19.     
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TitleMetodi matematici della Fisica
Author(s)Cicogna, Giampaolo
PublicationMilano, Springer Milan, 2015.
DescriptionX, 258 pagg. 22 figg : online resource
Abstract NoteQuesto libro trae la sua origine dagli appunti preparati per le lezioni di Metodi Matematici della Fisica tenute al Dipartimento di Fisica dell'Universit?? di Pisa, e via via sistemati, raffinati e aggiornati nel corso di molti anni di insegnamento. L'intento generale ?? di fornire una presentazione per quanto possibile semplice e diretta dei metodi matematici basilari e rilevanti per la Fisica. Anche allo scopo di mantenere questo testo entro i limiti di un manuale di dimensioni contenute e di agevole consultazione, sono stati spesso sacrificati i dettagli tecnici delle dimostrazioni matematiche (o anzi le dimostrazioni per intero) e anche i formalismi eccessivi, che tendono a nascondere la vera natura dei problemi. Al contrario, si ?? cercato di evidenziare ??? per quanto possibile ??? le idee sottostanti e le motivazioni che conducono ai diversi procedimenti. L'obiettivo principale e quello di mettere in condizione chi ha letto questo libro di acquisire gli strumenti adatti e le conoscenze di base che gli permettano di affrontare senza difficolt?? anche testi pi?? avanzati e impegnativi. Questa nuova Edizione conserva la struttura generale della prima Edizione, ma ?? arricchita dall'inserimento di numerosi esempi (e controesempi), con nuove osservazioni e chiarimenti su tutti gli argomenti proposti: Serie di Fourier, Spazi di Hilbert, Operatori lineari, Funzioni di Variabile complessa, Trasformate di Fourier e di Laplace, Distribuzioni. Inoltre, le prime nozioni della Teoria dei Gruppi, delle Algebre di Lie e delle Simmetrie in Fisica (che erano confinate in una Appendice nella Prima Edizione) vengono ora proposte in una forma sensibilmente ampliata, con vari esempi in vista delle applicazioni alla Fisica. In particolare, due nuovi Capitoli sono dedicati allo studio delle propriet?? di simmetria dell'atomo di idrogeno e dell'oscillatore armonico in Meccanica Quantistica
ISBN,Price9788847056848
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. FUNCTIONAL ANALYSIS 5. Functions of a Complex Variable 6. FUNCTIONS OF COMPLEX VARIABLES 7. GROUP THEORY 8. Group Theory and Generalizations 9. Mathematical Methods in Physics 10. PHYSICS
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20.    
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TitleFourier Transformation for Pedestrians
Author(s)Butz, Tilman
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionXIV, 202 p : online resource
Abstract NoteMeant to serve an "entertaining textbook," this book belongs to a rare genre. It is written for all students and practitioners who deal with Fourier transformation. Fourier series as well as continuous and discrete Fourier transformation are covered, and particular emphasis is placed on window functions. Many illustrations and easy-to-solve exercises make the book especially accessible, and its humorous style will add to the pleasure of learning from it
ISBN,Price9783540311089
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. ENGINEERING 4. Engineering, general 5. FUNCTIONAL ANALYSIS 6. LASERS 7. Mathematical Methods in Physics 8. Optics, Lasers, Photonics, Optical Devices 9. PHOTONICS 10. PHYSICS 11. Physics, general
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