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Author  Title  Accn#  Year  Item Type  Claims 
11 
Smirnov, Vladimir A 
Feynman Integral Calculus 
I08286 
2006 
eBook 

12 
Zeidler, Eberhard 
Quantum Field Theory I: Basics in Mathematics and Physics 
I07526 
2006 
eBook 

13 
Shima, Hiroyuki 
Higher Mathematics for Physics and Engineering 
I07454 
2010 
eBook 

14 
Wazwaz, AbdulMajid 
Partial Differential Equations and Solitary Waves Theory 
I07354 
2009 
eBook 

15 
Derezinski, Jan 
Large Coulomb Systems 
I06645 
2006 
eBook 

16 
Rodrigues, Waldyr A 
The Many Faces of Maxwell, Dirac and Einstein Equations 
I06614 
2007 
eBook 

17 
Economou, Eleftherios N 
Green's Functions in Quantum Physics 
I06529 
2006 
eBook 

18 
Lieb, Elliott H 
The Stability of Matter: From Atoms to Stars 
I06244 
2005 
eBook 

19 
Gerdjikov, Vladimir 
Integrable Hamiltonian Hierarchies 
I06124 
2008 
eBook 

20 
Fe??kan, Michal 
Bifurcation and Chaos in Discontinuous and Continuous Systems 
I06061 
2011 
eBook 


11.


Title  Feynman Integral Calculus 
Author(s)  Smirnov, Vladimir A 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. 
Description  X, 287 p. 52 illus : online resource 
Abstract Note  The 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 nontrivial 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,Price  9783540306115 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I08286 


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12.


Title  Quantum Field Theory I: Basics in Mathematics and Physics : A Bridge between Mathematicians and Physicists 
Author(s)  Zeidler, Eberhard 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. 
Description  XXIV, 1051 p : online resource 
Abstract Note  This 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. Upperdivision undergraduates through faculty." (M. C. Ogilvie, CHOICE, Vol. 44 (9), May, 2007) 
ISBN,Price  9783540347644 
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

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I07526 


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13.


Title  Higher Mathematics for Physics and Engineering 
Author(s)  Shima, Hiroyuki;Nakayama, Tsuneyoshi 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2010. 
Description  XXI, 688 p : online resource 
Abstract Note  Due to the rapid expansion of the frontiers of physics and engineering, the demand for higherlevel mathematics is increasing yearly. This book is designed to provide accessible knowledge of higherlevel 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 selfcontained, 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 higherlevel mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields 
ISBN,Price  9783540878643 
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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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I07454 


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14.


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

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Call#  Status  Issued To  Return Due On  Physical Location 
I07354 


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15.


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 


On Shelf 




16.


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 




17.


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

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Call#  Status  Issued To  Return Due On  Physical Location 
I06529 


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18.


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 




19.


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 




20.
 
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 


On Shelf 



 