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Author  Title  Accn#  Year  Item Type  Claims 
1 
Timberlake, Todd Keene 
Classical Mechanics with Maxima 
I10330 
2016 
eBook 

2 
Rejzner, Kasia 
Perturbative Algebraic Quantum Field Theory 
I10180 
2016 
eBook 

3 
Levi, Decio 
Symmetries and Integrability of Difference Equations 
I10153 
2017 
eBook 

4 
Tanaka, Akinori 
Superconformal Index on RP2 ?? S1 and 3D Mirror Symmetry 
I09758 
2016 
eBook 

5 
Landi, Giovanni 
Linear Algebra and Analytic Geometry for Physical Sciences 
I09687 
2018 
eBook 

6 
Dappiaggi, Claudio 
Hadamard States from Lightlike Hypersurfaces 
I09659 
2017 
eBook 

7 
Konno, Hitoshi 
Elliptic Quantum Groups 
I09584 
2020 
eBook 

8 
Weingartner, Paul A 
Alternative Logics. Do Sciences Need Them? 
I11584 
2004 
eBook 

9 
Coecke, Bob 
Current Research in Operational Quantum Logic 
I11348 
2000 
eBook 

10 
Esposti, Mirko 
The Mathematical Aspects of Quantum Maps 
I11187 
2003 
eBook 


1.


Title  Classical Mechanics with Maxima 
Author(s)  Timberlake, Todd Keene;Mixon, J. Wilson 
Publication  New York, NY, 1. Imprint: Springer
2. Springer New York, 2016. 
Description  XI, 258 p. 156 illus : online resource 
Abstract Note  This book guides undergraduate students in the use of Maxima???a computer algebra system???in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook. When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly attractive in that it is opensource, multipleplatform software that students can download and install free of charge. Lessons learned and capabilities developed using Maxima are easily transferred to other, proprietary software 
ISBN,Price  9781493932078 
Keyword(s)  1. ALGEBRA
2. CLASSICAL MECHANICS
3. Computational Mathematics and Numerical Analysis
4. Computer mathematics
5. EBOOK
6. EBOOK  SPRINGER
7. General Algebraic Systems
8. Mathematical Applications in the Physical Sciences
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. MECHANICS
12. PHYSICS

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2.


Title  Perturbative Algebraic Quantum Field Theory : An Introduction for Mathematicians 
Author(s)  Rejzner, Kasia 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2016. 
Description  XI, 180 p. 4 illus : online resource 
Abstract Note  Perturbative Algebraic Quantum Field Theory (pAQFT), the subject of this book, is a complete and mathematically rigorous treatment of perturbative quantum field theory (pQFT) that doesn???t require the use of divergent quantities. We discuss in detail the examples of scalar fields and gauge theories and generalize them to QFT on curved spacetimes. pQFT models describe a wide range of physical phenomena and have remarkable agreement with experimental results. Despite this success, the theory suffers from many conceptual problems. pAQFT is a good candidate to solve many, if not all of these conceptual problems. Chapters 13 provide some background in mathematics and physics. Chapter 4 concerns classical theory of the scalar field, which is subsequently quantized in chapters 5 and 6. Chapter 7 covers gauge theory and chapter 8 discusses QFT on curved spacetimes and effective quantum gravity. The book aims to be accessible researchers and graduate students interested in the mathematical foundations of pQFT are the intended audience 
ISBN,Price  9783319259017 
Keyword(s)  1. ALGEBRA
2. EBOOK
3. EBOOK  SPRINGER
4. Field theory (Physics)
5. Field Theory and Polynomials
6. MATHEMATICAL PHYSICS
7. Quantum Field Theories, String Theory
8. QUANTUM FIELD THEORY
9. STRING THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I10180 


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3.


Title  Symmetries and Integrability of Difference Equations : Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016 
Author(s)  Levi, Decio;Rebelo, Rapha??l;Winternitz, Pavel 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  X, 435 p. 67 illus., 26 illus. in color : online resource 
Abstract Note  This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations. More fundamentally, in subatomic physics, spacetime may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones. Each of the nine peerreviewed chapters in this volume serves as a selfcontained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers 
ISBN,Price  9783319566665 
Keyword(s)  1. ALGEBRA
2. Difference and Functional Equations
3. DIFFERENCE EQUATIONS
4. EBOOK
5. EBOOK  SPRINGER
6. Field theory (Physics)
7. Field Theory and Polynomials
8. FUNCTIONAL EQUATIONS
9. Numerical and Computational Physics, Simulation
10. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I10153 


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4.


Title  Superconformal Index on RP2 ?? S1 and 3D Mirror Symmetry 
Author(s)  Tanaka, Akinori 
Publication  Singapore, 1. Imprint: Springer
2. Springer Singapore, 2016. 
Description  XII, 83 p : online resource 
Abstract Note  The author introduces the supersymmetric localization technique, a new approach for computing path integrals in quantum field theory on curved space (time) defined with interacting Lagrangian. The author focuses on a particular quantity called the superconformal index (SCI), which is defined by considering the theories on the product space of two spheres and circles, in order to clarify the validity of socalled threedimensional mirror symmetry, one of the famous duality proposals. In addition to a review of known results, the author presents a new definition of SCI by considering theories on the product space of realprojective space and circles. In this book, he explains the concept of SCI from the point of view of quantum mechanics and gives localization computations by reducing field theoretical computations to manybody quantum mechanics. He applies his new results of SCI with realprojective space to test threedimensional mirror symmetry, one of the dualities of quantum field theory. Realprojective space is known to be an unorientable surface like the Mobius strip, and there are many exotic effects resulting from Z2 holonomy of the surface. Thanks to these exotic structures, his results provide completely new evidence of threedimensional mirror symmetry. The equivalence expected from threedimensional mirror symmetry is transformed into a conjectural nontrivial mathematical identity through the new SCI, and he performs the proof of the identity using a qbinomial formula 
ISBN,Price  9789811013980 
Keyword(s)  1. ALGEBRA
2. EBOOK
3. EBOOK  SPRINGER
4. Field theory (Physics)
5. Field Theory and Polynomials
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I09758 


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5.


Title  Linear Algebra and Analytic Geometry for Physical Sciences 
Author(s)  Landi, Giovanni;Zampini, Alessandro 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2018. 
Description  XII, 345 p : online resource 
Abstract Note  A selfcontained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electromagnetism, with more than two hundreds examples and solved exercises. Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac???s braket formalism. Spectral theory for selfadjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number. The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a postgraduate qualification 
ISBN,Price  9783319783611 
Keyword(s)  1. ALGEBRA
2. APPLIED MATHEMATICS
3. Computer science???Mathematics
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. GEOMETRY
8. Linear and Multilinear Algebras, Matrix Theory
9. Math Applications in Computer Science
10. Mathematical and Computational Engineering
11. Mathematical Applications in the Physical Sciences
12. Mathematical Methods in Physics
13. MATHEMATICAL PHYSICS
14. MATRIX THEORY
15. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I09687 


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6.


Title  Hadamard States from Lightlike Hypersurfaces 
Author(s)  Dappiaggi, Claudio;Moretti, Valter;Pinamonti, Nicola 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  VIII, 106 p. 2 illus : online resource 
Abstract Note  This book provides a rather selfcontained survey of the construction of Hadamard states for scalar field theories in a large class of notable spacetimes, possessing a (conformal) lightlike boundary. The first two sections focus on explaining a few introductory aspects of this topic and on providing the relevant geometric background material. The notions of asymptotically flat spacetimes and of expanding universes with a cosmological horizon are analysed in detail, devoting special attention to the characterization of asymptotic symmetries. In the central part of the book, the quantization of a real scalar field theory on such class of backgrounds is discussed within the framework of algebraic quantum field theory. Subsequently it is explained how it is possible to encode the information of the observables of the theory in a second, ancillary counterpart, which is built directly on the conformal (null) boundary. This procedure, dubbed bulktoboundary correspondence, has the net advantage of allowing the identification of a distinguished state for the theory on the boundary, which admits a counterpart in the bulk spacetime which is automatically of Hadamard form. In the last part of the book, some applications of these states are discussed, in particular the construction of the algebra of Wick polynomials. This book is aimed mainly, but not exclusively, at a readership with interest in the mathematical formulation of quantum field theory on curved backgrounds 
ISBN,Price  9783319643434 
Keyword(s)  1. ALGEBRA
2. COSMOLOGY
3. EBOOK
4. EBOOK  SPRINGER
5. Field theory (Physics)
6. Field Theory and Polynomials
7. MATHEMATICAL PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY

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I09659 


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7.


Title  Elliptic Quantum Groups : Representations and Related Geometry 
Author(s)  Konno, Hitoshi 
Publication  Singapore, 1. Imprint: Springer
2. Springer Singapore, 2020. 
Description  XIII, 131 p. 3 illus : online resource 
Abstract Note  This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the YangBaxter equation. Based on research by the author and his collaborators, the book presents a comprehensive survey on the subject including a brief history of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite and infinitedimensional representations, and a construction of the vertex operators as intertwining operators of these representations. The vertex operators are important objects in representation theory of quantum groups. In this book, they are used to derive the elliptic qKZ equations and their elliptic hypergeometric integral solutions. In particular, the socalled elliptic weight functions appear in such solutions. The author???s recent study showed that these elliptic weight functions are identified with Okounkov???s elliptic stable envelopes for certain equivariant elliptic cohomology and play an important role to construct geometric representations of elliptic quantum groups. Okounkov???s geometric approach to quantum integrable systems is a rapidly growing topic in mathematical physics related to the Bethe ansatz, the AldayGaiottoTachikawa correspondence between 4D SUSY gauge theories and the CFT???s, and the NekrasovShatashvili correspondences between quantum integrable systems and quantum cohomology. To invite the reader to such topics is one of the aims of this book 
ISBN,Price  9789811573873 
Keyword(s)  1. ALGEBRA
2. EBOOK
3. EBOOK  SPRINGER
4. GROUP THEORY
5. Group Theory and Generalizations
6. Mathematical Applications in the Physical Sciences
7. MATHEMATICAL PHYSICS
8. Order, Lattices, Ordered Algebraic Structures
9. Ordered algebraic structures

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Call#  Status  Issued To  Return Due On  Physical Location 
I09584 


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8.


Title  Alternative Logics. Do Sciences Need Them? 
Author(s)  Weingartner, Paul A 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2004. 
Description  XVII, 368 p : online resource 
Abstract Note  Initially proposed as rivals of classical logic, alternative logics have become increasingly important in sciences such as quantum physics, computer science, and artificial intelligence. The contributions collected in this volume address and explore the question whether the usage of logic in the sciences, especially in modern physics, requires a deviation from classical mathematical logic. The articles in the first part of the book set the scene by describing the context and the dilemma when applying logic in science. In Part II the authors offer several logics that deviate in different ways from classical logics. The twelve papers in Part III investigate in detail specific aspects such as quantum logic, quantum computation, computerscience considerations, praxic logic, and quantum probability. Most of the contributions are revised and partially extended versions of papers presented at a conference of the same title of the Acad??mie Internationale de Philosophie des Sciences held at the Internationales Forschungszentrum Salzburg in May 1999. Others have been added to complete the picture of recent research in alternative logics as they have been developed for applications in the sciences 
ISBN,Price  9783662056790 
Keyword(s)  1. ALGEBRA
2. COMPUTERS
3. EBOOK
4. EBOOK  SPRINGER
5. Order, Lattices, Ordered Algebraic Structures
6. Ordered algebraic structures
7. PHILOSOPHY
8. Philosophy, general
9. QUANTUM COMPUTERS
10. Quantum Information Technology, Spintronics
11. QUANTUM PHYSICS
12. SPINTRONICS
13. Theory of Computation

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I11584 


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9.


Title  Current Research in Operational Quantum Logic : Algebras, Categories, Languages 
Author(s)  Coecke, Bob;Moore, David;Wilce, Alexander 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 2000. 
Description  VII, 325 p : online resource 
Abstract Note  The present volume has its origins in a pair of informal workshops held at the Free University of Brussels, in June of 1998 and May of 1999, named "Current Research 1 in Operational Quantum Logic". These brought together mathematicians and physicists working in operational quantum logic and related areas, as well as a number of interested philosophers of science, for a rare opportunity to discuss recent developments in this field. After some discussion, it was decided that, rather than producing a volume of conference proceedings, we would try to organize the conferees to produce a set of comprehensive survey papers, which would not only report on recent developments in quantum logic, but also provide a tutorial overview of the subject suitable for an interested nonspecialist audience. The resulting volume provides an overview of the concepts and methods used in current research in quantum logic, viewed both as a branch of mathemati?? cal physics and as an area of pure mathematics. The first half of the book is concerned with the algebraic side of the subject, and in particular the theory of orthomodular lattices and posets, effect algebras, etc. In the second half of the book, special attention is given to categorical methods and to connections with theoretical computer science. At the 1999 workshop, we were fortunate to hear three excellent lectures by David J. Foulis, represented here by two contributions. Dave's work, spanning 40 years, has helped to define, and continues to reshape, the field of quantum logic 
ISBN,Price  9789401712019 
Keyword(s)  1. ALGEBRA
2. Applications of Mathematics
3. APPLIED MATHEMATICS
4. Category theory (Mathematics)
5. Category Theory, Homological Algebra
6. EBOOK
7. EBOOK  SPRINGER
8. ENGINEERING MATHEMATICS
9. GROUP THEORY
10. Group Theory and Generalizations
11. Homological algebra
12. Order, Lattices, Ordered Algebraic Structures
13. Ordered algebraic structures
14. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
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