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Author  Title  Accn#  Year  Item Type  Claims 
11 
Wazwaz, AbdulMajid 
Partial Differential Equations and Solitary Waves Theory 
I07354 
2009 
eBook 

12 
Derezinski, Jan 
Large Coulomb Systems 
I06645 
2006 
eBook 

13 
Rodrigues, Waldyr A 
The Many Faces of Maxwell, Dirac and Einstein Equations 
I06614 
2007 
eBook 

14 
Economou, Eleftherios N 
Green's Functions in Quantum Physics 
I06529 
2006 
eBook 

15 
Lieb, Elliott H 
The Stability of Matter: From Atoms to Stars 
I06244 
2005 
eBook 

16 
Gerdjikov, Vladimir 
Integrable Hamiltonian Hierarchies 
I06124 
2008 
eBook 

17 
Fe??kan, Michal 
Bifurcation and Chaos in Discontinuous and Continuous Systems 
I06061 
2011 
eBook 

18 
Asch, Joachim 
Mathematical Physics of Quantum Mechanics 
I05937 
2006 
eBook 

19 
Hassani, Sadri 
Mathematical Methods 
I05381 
2009 
eBook 

20 
Bohm, Arno 
Dirac Kets, Gamow Vectors and Gel???fand Triplets 
I05364 
1989 
eBook 


11.


Title  Partial Differential Equations and Solitary Waves Theory 
Author(s)  Wazwaz, AbdulMajid 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2009. 
Description  700 p. 14 illus : online resource 
Abstract Note  "Partial Differential Equations and Solitary Waves Theory" is a selfcontained book divided into two parts: Part I is a coherent survey bringing together newly developed methods for solving PDEs. While some traditional techniques are presented, this part does not require thorough understanding of abstract theories or compact concepts. Wellselected worked examples and exercises shall guide the reader through the text. Part II provides an extensive exposition of the solitary waves theory. This part handles nonlinear evolution equations by methods such as Hirota???s bilinear method or the tanhcoth method. A selfcontained treatment is presented to discuss complete integrability of a wide class of nonlinear equations. This part presents in an accessible manner a systematic presentation of solitons, multisoliton solutions, kinks, peakons, cuspons, and compactons. While the whole book can be used as a text for advanced undergraduate and graduate students in applied mathematics, physics and engineering, Part II will be most useful for graduate students and researchers in mathematics, engineering, and other related fields. Dr. AbdulMajid Wazwaz is a Professor of Mathematics at Saint Xavier University, Chicago, Illinois, USA 
ISBN,Price  9783642002519 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. APPLIED MATHEMATICS
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING
7. ENGINEERING MATHEMATICS
8. Engineering, general
9. MATHEMATICAL ANALYSIS
10. Mathematical and Computational Engineering

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I07354 


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12.


Title  Large Coulomb Systems : Lecture Notes on Mathematical Aspects of QED 
Author(s)  Derezinski, Jan;Siedentop, Heinz 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. 
Description  X, 326 p : online resource 
Abstract Note  A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found. Nevertheless, there are several simplified effective models that successfully describe many body quantum systems and the interaction of radiation with matter. Large Coulomb Systems explores a selection of mathematical topics inspired by QED. It comprises selected, expanded and edited lectures given by international experts at a topical summer school and is intended as a highlevel introduction for graduate students, postdocs and nonspecialists from related fields 
ISBN,Price  9783540325796 
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. Mathematical Methods in Physics
9. PHYSICS
10. QUANTUM FIELD THEORY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06645 


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13.


Title  The Many Faces of Maxwell, Dirac and Einstein Equations : A Clifford Bundle Approach 
Author(s)  Rodrigues, Waldyr A;Oliveira, Edmundo C 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2007. 
Description  XIV, 445 p : online resource 
Abstract Note  This book is a thoughtful exposition of the algebra and calculus of differential forms, the Clifford and SpinClifford bundles formalisms with emphasis in calculation procedures, and vistas to a formulation of some important concepts of differential geometry necessary for a deep understanding of spacetime physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, are shown to have representatives as objects of the same mathematical nature, i.e. as sections of an appropriate Clifford bundle. This approach reveals unity in the diversity and also the many faces of the equations satisfied by those fields. Moreover, it suggests relationships which are hidden in the standard formalisms and new paths for research. Some foundational issues of relativistic field theories, in particular the one concerning the conditions for the existence of the conservation laws of energymomentum and angular momentum in spacetime theories and many misconceptions concerning this issue is analyzed in details. The book will be useful as reference book for researchers and advanced students of theoretical physics and mathematics. Calculation procedures are illustrated by many exercises solved in detail, using the "tricks of the trade". Furthermore the readers will appreciate the comprehensive list of mathematical symbols as well as a list of acronyms and abbreviations 
ISBN,Price  9783540712930 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. Classical and Quantum Gravitation, Relativity Theory
4. DIFFERENTIAL GEOMETRY
5. EBOOK
6. EBOOK  SPRINGER
7. GRAVITATION
8. MATHEMATICAL ANALYSIS
9. Mathematical Methods in Physics
10. PHYSICS

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06614 


On Shelf 




14.


Title  Green's Functions in Quantum Physics 
Author(s)  Economou, Eleftherios N 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. 
Description  XVIII, 480 p : online resource 
Abstract Note  The main part of this book is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and boundlevel information. The boundlevel treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorderinduced localization. The more advanced subject of manybody Green's functions is presented in the last part of the book 
ISBN,Price  9783540288411 
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. Mathematical Methods in Physics
9. MATHEMATICAL PHYSICS
10. Numerical and Computational Physics, Simulation
11. PHYSICS
12. QUANTUM FIELD THEORY
13. QUANTUM PHYSICS
14. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06529 


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15.


Title  The Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb 
Author(s)  Lieb, Elliott H;Thirring, Walter 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2005. 
Description  XVI, 932 p : online resource 
Abstract Note  This 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 own 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. Here 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 or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages 
ISBN,Price  9783540270560 
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. Elementary particles (Physics)
10. Elementary Particles, Quantum Field Theory
11. MATHEMATICAL ANALYSIS
12. Mathematical Methods in Physics
13. PHYSICS
14. QUANTUM FIELD THEORY
15. QUANTUM PHYSICS

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06244 


On Shelf 




16.


Title  Integrable Hamiltonian Hierarchies : Spectral and Geometric Methods 
Author(s)  Gerdjikov, Vladimir;Vilasi, Gaetano;Yanovski, Alexandar Borisov 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2008. 
Description  XII, 643 p : online resource 
Abstract Note  This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their Hamiltonian hierarchies. Thus it is demonstrated that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform. The book brings together the spectral and the geometric approaches and as such will be useful to a wide readership: from researchers in the field of nonlinear completely integrable evolution equations to graduate and postgraduate students 
ISBN,Price  9783540770541 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. EBOOK
4. EBOOK  SPRINGER
5. GEOMETRY
6. MATHEMATICAL ANALYSIS
7. Mathematical Methods in Physics
8. MATHEMATICAL PHYSICS
9. PHYSICS
10. Physics, general
11. Theoretical, Mathematical and Computational Physics

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06124 


On Shelf 




17.


Title  Bifurcation and Chaos in Discontinuous and Continuous Systems 
Author(s)  Fe??kan, Michal 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2011. 
Description  XII, 378 p : online resource 
Abstract Note  "Bifurcation and Chaos in Discontinuous and Continuous Systems" provides rigorous mathematical functionalanalytical tools for handling chaotic bifurcations along with precise and complete proofs together with concrete applications presented by many stimulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, differential equations with impulses, piecewise smooth differential equations, differential and difference inclusions, and differential equations on infinite lattices as well. This book is intended for mathematicians, physicists, theoretically inclined engineers and postgraduate students either studying oscillations of nonlinear mechanical systems or investigating vibrations of strings and beams, and electrical circuits by applying the modern theory of bifurcation methods in dynamical systems. Dr. Michal Fe??kan is a Professor at the Department of Mathematical Analysis and Numerical Mathematics on the Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovakia. He is working on nonlinear functional analysis, bifurcation theory and dynamical systems with applications to mechanics and vibrations 
ISBN,Price  9783642182693 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. CLASSICAL MECHANICS
4. DYNAMICAL SYSTEMS
5. Dynamical Systems and Ergodic Theory
6. DYNAMICS
7. EBOOK
8. EBOOK  SPRINGER
9. ERGODIC THEORY
10. MATHEMATICAL ANALYSIS
11. MATHEMATICAL PHYSICS
12. MECHANICS
13. Theoretical, Mathematical and Computational Physics
14. VIBRATION
15. Vibration, Dynamical Systems, Control

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06061 


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18.


Title  Mathematical Physics of Quantum Mechanics : Selected and Refereed Lectures from QMath9 
Author(s)  Asch, Joachim;Joye, Alain 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. 
Description  XXI, 462 p : online resource 
Abstract Note  At the QMath9 meeting, young scientists learn about the state of the art in the mathematical physics of quantum systems. Based on that event, this book offers a selection of outstanding articles written in pedagogical style comprising six sections which cover new techniques and recent results on spectral theory, statistical mechanics, BoseEinstein condensation, random operators, magnetic Schr??dinger operators and much more. For postgraduate students, Mathematical Physics of Quantum Systems serves as a useful introduction to the research literature. For more expert researchers, this book will be a concise and modern source of reference 
ISBN,Price  9783540342731 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. EBOOK
4. EBOOK  SPRINGER
5. MATHEMATICAL ANALYSIS
6. Mathematical Methods in Physics
7. PHYSICS
8. QUANTUM PHYSICS

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I05937 


On Shelf 




19.


Title  Mathematical Methods : For Students of Physics and Related Fields 
Author(s)  Hassani, Sadri 
Publication  New York, NY, Springer New York, 2009. 
Description  XXIII, 832 p : online resource 
Abstract Note  Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material. Beginning with reviews of vector algebra and differential and integral calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics. This new edition has been made more userfriendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms. Some praise for the previous edition: "The book has many strengths. For example: Each chapter starts with a preamble that puts the chapters in context. Often, the author uses physical examples to motivate definitions, illustrate relationships, or culminate the development of particular mathematical strands. The use of Maxwell's equations to cap the presentation of vector calculus, a discussion that includes some tidbits about what led Maxwell to the displacement current, is a particularly enjoyable example. Historical touches like this are not isolated cases; the book includes a large number of notes on people and ideas, subtly reminding the student that science and mathematics are continuing and fascinating human activities." Physics Today "Very well written (i.e., extremely readable), very well targeted (mainly to an average student of physics at a point of just leaving his/her sophomore level) and very well concentrated (to an author's apparently beloved subject of PDE's with applications and with all their necessary pedagogicallymathematical background)...The main merits of the text are its clarity (achieved via returns and innovations of the context), balance (building the subject step by step) and originality (recollect: the existence of the complex numbers is only admitted far in the second half of the text!). Last but not least, the student reader is impressed by the graphical quality of the text (figures first of all, but also boxes with the essentials, summarizing comments in the left column etc.)...Summarizing: Well done." Zentralblatt MATH 
ISBN,Price  9780387095042 
Keyword(s)  1. ANALYSIS
2. Analysis (Mathematics)
3. APPLIED MATHEMATICS
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. MATHEMATICAL ANALYSIS
8. Mathematical and Computational Engineering
9. Mathematical Methods in Physics
10. PHYSICS

Item Type  eBook 
MultiMedia Links
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I05381 


On Shelf 




20.
 
Title  Dirac Kets, Gamow Vectors and Gel???fand Triplets : The Rigged Hilbert Space Formulation of Quantum Mechanics. Lectures in Mathematical Physics at the University of Texas at Austin 
Author(s)  Bohm, Arno;Gadella, Manuel;Dollard, J.D 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 1989. 
Description  VIII, 120 p : online resource 
Abstract Note  Dirac's formalism of quantum mechanics was always praised for its elegance. This book introduces the student to its mathematical foundations and demonstrates its ease of applicability to problems in quantum physics. The book starts by describing in detail the concept of Gel'fand triplets and how one can make use of them to make the Dirac heuristic approach rigorous. The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Next, the RHS model for decaying states based on the concept of Gamow vectors is presented. Applications are given to physical theories of such phenomena as decaying states and resonances 
ISBN,Price  9783540468592 
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. Mathematical Methods in Physics
9. Numerical and Computational Physics, Simulation
10. PHYSICS
11. QUANTUM FIELD THEORY

Item Type  eBook 
MultiMedia Links
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I05364 


On Shelf 



 