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Author  Title  Accn#  Year  Item Type  Claims 
1 
Dribus, Benjamin F 
Discrete Causal Theory 
I10462 
2017 
eBook 

2 
Taylor, Alexander John 
Analysis of Quantised Vortex Tangle 
I10040 
2017 
eBook 

3 
Papadimitriou, Fivos 
Spatial Complexity 
I09027 
2020 
eBook 

4 
Antoniou, Stathis 
Mathematical Modeling Through Topological Surgery and Applications 
I08861 
2018 
eBook 

5 
Szabo, Richard J 
Equivariant Cohomology and Localization of Path Integrals 
I11316 
2000 
eBook 

6 
Mecke, Klaus R 
Morphology of Condensed Matter 
I11236 
2002 
eBook 

7 
Cotsakis, Spiros 
Mathematical and Quantum Aspects of Relativity and Cosmology 
I11099 
2000 
eBook 

8 
Labastida, Jose 
Topological Quantum Field Theory and Four Manifolds 
I06905 
2005 
eBook 

9 
Rosenberg, Ivo G 
Algebras and Orders 
I05135 
1993 
eBook 

10 
Jack Avrin 
Knots, braids, and mobius stripe: Particle Physics and the Geometry of Elementarity: An Alternative View 
025989 
2015 
Book 


1.


Title  Discrete Causal Theory : Emergent Spacetime and the Causal Metric Hypothesis 
Author(s)  Dribus, Benjamin F 
Publication  Cham, Springer International Publishing, 2017. 
Description  XXX, 558 p. 154 illus : online resource 
Abstract Note  This book evaluates and suggests potentially critical improvements to causal set theory, one of the bestmotivated approaches to the outstanding problems of fundamental physics. Spacetime structure is of central importance to physics beyond general relativity and the standard model. The causal metric hypothesis treats causal relations as the basis of this structure. The book develops the consequences of this hypothesis under the assumption of a fundamental scale, with smooth spacetime geometry viewed as emergent. This approach resembles causal set theory, but differs in important ways; for example, the relative viewpoint, emphasizing relations between pairs of events, and relationships between pairs of histories, is central. The book culminates in a dynamical law for quantum spacetime, derived via generalized path summation 
ISBN,Price  9783319500836 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COSMOLOGY
3. EBOOK
4. EBOOK  SPRINGER
5. GEOMETRY
6. GRAVITATION
7. TOPOLOGY

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I10462 


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2.


Title  Analysis of Quantised Vortex Tangle 
Author(s)  Taylor, Alexander John 
Publication  Cham, Springer International Publishing, 2017. 
Description  XVI, 197 p. 95 illus., 84 illus. in color : online resource 
Abstract Note  In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in threedimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexityincluding knottingon the large scale. The work is highly visual, and illustrated with many beautiful diagrams revealing this unanticipated aspect of the physics of waves. Linear superpositions of waves create interference patterns, which means in some places they strengthen one another, while in others they completely cancel each other out. This latter phenomenon occurs on 'vortex lines' in three dimensions. In general wave superpositions modelling e.g. chaotic cavity modes, these vortex lines form dense tangles that have never been visualised on the large scale before, and cannot be analysed mathematically by any known techniques. 
ISBN,Price  9783319485560 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. MATHEMATICAL PHYSICS
4. Numerical and Computational Physics, Simulation
5. PHYSICS
6. Statistical Theory and Methods
7. Statistics??
8. TOPOLOGY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10040 


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3.


Title  Spatial Complexity : Theory, Mathematical Methods and Applications 
Author(s)  Papadimitriou, Fivos 
Publication  Cham, Springer International Publishing, 2020. 
Description  XXI, 298 p. 178 illus., 149 illus. in color : online resource 
Abstract Note  This book delivers stimulating input for a broad range of researchers, from geographers and ecologists to psychologists interested in spatial perception and physicists researching in complex systems. How can one decide whether one surface or spatial object is more complex than another? What does it require to measure the spatial complexity of small maps, and why does this matter for nature, science and technology? Drawing from algorithmics, geometry, topology, probability and informatics, and with examples from everyday life, the reader is invited to cross the borders into the bewildering realm of spatial complexity, as it emerges from the study of geographic maps, landscapes, surfaces, knots, 3D and 4D objects. The mathematical and cartographic experiments described in this book lead to hypotheses and enigmas with ramifications in aesthetics and epistemology. 
ISBN,Price  9783030596712 
Keyword(s)  1. BIODIVERSITY
2. Cognitive psychology
3. COMPLEX SYSTEMS
4. EBOOK
5. EBOOK  SPRINGER
6. GEOGRAPHY
7. Geography, general
8. SYSTEM THEORY
9. TOPOLOGY

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Call#  Status  Issued To  Return Due On  Physical Location 
I09027 


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4.


Title  Mathematical Modeling Through Topological Surgery and Applications 
Author(s)  Antoniou, Stathis 
Publication  Cham, Springer International Publishing, 2018. 
Description  XVII, 85 p. 37 illus., 27 illus. in color : online resource 
Abstract Note  Topological surgery is a mathematical technique used for creating new manifolds out of known ones. In this book the authors observe that it also occurs in natural phenomena of all scales: 1dimensional surgery happens during DNA recombination and when cosmic magnetic lines reconnect; 2dimensional surgery happens during tornado formation and cell mitosis; and they conjecture that 3dimensional surgery happens during the formation of black holes from cosmic strings, offering an explanation for the existence of a black hole???s singularity. Inspired by such phenomena, the authors present a new topological model that extends the formal definition to a continuous process caused by local forces. Lastly, they describe an intrinsic connection between topological surgery and a chaotic dynamical system exhibiting a ???hole drilling??? behavior. The authors??? model indicates where to look for the forces causing surgery and what deformations should be observed in the local submanifolds involved. These predictions are significant for the study of phenomena exhibiting surgery and they also open new research directions. This novel study enables readers to gain a better understanding of the topology and dynamics of various natural phenomena, as well as topological surgery itself and serves as a basis for many more insightful observations and new physical implications 
ISBN,Price  9783319970677 
Keyword(s)  1. COSMOLOGY
2. Dynamical Systems and Ergodic Theory
3. DYNAMICS
4. EBOOK
5. EBOOK  SPRINGER
6. ERGODIC THEORY
7. Mathematical Methods in Physics
8. PHYSICS
9. STATISTICAL PHYSICS
10. Statistical Physics and Dynamical Systems
11. TOPOLOGY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08861 


On Shelf 




5.


Title  Equivariant Cohomology and Localization of Path Integrals 
Author(s)  Szabo, Richard J 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2000. 
Description  XI, 315 p : online resource 
Abstract Note  This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented 
ISBN,Price  9783540465508 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. EBOOK
3. EBOOK  SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. GLOBAL ANALYSIS (MATHEMATICS)
7. Global Analysis and Analysis on Manifolds
8. Manifolds (Mathematics)
9. Mathematical Methods in Physics
10. NUCLEAR PHYSICS
11. Particle and Nuclear Physics
12. PHYSICS
13. QUANTUM FIELD THEORY
14. TOPOLOGY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11316 


On Shelf 




6.


Title  Morphology of Condensed Matter : Physics and Geometry of Spatially Complex Systems 
Author(s)  Mecke, Klaus R;Stoyan, Dietrich 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2002. 
Description  XVIII, 442 p. 147 illus., 5 illus. in color : online resource 
Abstract Note  The morphology of spatially stuctured materials is a rapidly growing field of research at the interface of statistical physics, applied mathematics and materials science. A wide spectrum of applications encompasses the flow through porous and composite materials as well as microemulsions and foams. Written as a set of lectures and tutorial reviews leading up to the forefront of research, this book will be both a compendium for the experienced researcher as well as a high level introductory text for postgraduate students and nonspecialist researchers working in related areas 
ISBN,Price  9783540457824 
Keyword(s)  1. COMPLEX SYSTEMS
2. CONDENSED MATTER
3. CONDENSED MATTER PHYSICS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK  SPRINGER
7. MECHANICS
8. Mechanics, Applied
9. STATISTICAL PHYSICS
10. Statistical Physics and Dynamical Systems
11. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
12. Statistics??
13. Theoretical and Applied Mechanics
14. TOPOLOGY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11236 


On Shelf 




7.


Title  Mathematical and Quantum Aspects of Relativity and Cosmology : Proceedings of the Second Samos Meeting on Cosmology, Geometry and Relativity Held at Pythagoreon, Samos, Greece, 31 August ??? 4 September 1998 
Author(s)  Cotsakis, Spiros;Gibbons, Gary W 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2000. 
Description  IX, 254 p : online resource 
Abstract Note  This book is written in a pedagogical style intelligible for graduate students. It reviews recent progress in blackhole and wormhole theory and in mathematical cosmology within the framework of Einstein's field equations and beyond, including quantum effects. This collection of essays, written by leading scientists of long standing reputation, should become an indispensable source for future research 
ISBN,Price  9783540466710 
Keyword(s)  1. Astronomy, Observations and Techniques
2. Astronomy???Observations
3. ASTROPHYSICS
4. Astrophysics and Astroparticles
5. Classical and Quantum Gravitation, Relativity Theory
6. EBOOK
7. EBOOK  SPRINGER
8. GEOMETRY
9. GRAVITATION
10. Observations, Astronomical
11. TOPOLOGY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11099 


On Shelf 




8.


Title  Topological Quantum Field Theory and Four Manifolds 
Author(s)  Labastida, Jose;Marino, Marcos 
Publication  Dordrecht, Springer Netherlands, 2005. 
Description  X, 224 p : online resource 
Abstract Note  The present book is the first of its kind in dealing with topological quantum field theories and their applications to topological aspects of four manifolds. It is not only unique for this reason but also because it contains sufficient introductory material that it can be read by mathematicians and theoretical physicists. On the one hand, it contains a chapter dealing with topological aspects of four manifolds, on the other hand it provides a full introduction to supersymmetry. The book constitutes an essential tool for researchers interested in the basics of topological quantum field theory, since these theories are introduced in detail from a general point of view. In addition, the book describes Donaldson theory and SeibergWitten theory, and provides all the details that have led to the connection between these theories using topological quantum field theory. It provides a full account of Witten???s magic formula relating Donaldson and SeibergWitten invariants. Furthermore, the book presents some of the recent developments that have led to important applications in the context of the topology of four manifolds 
ISBN,Price  9781402031779 
Keyword(s)  1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK  SPRINGER
4. MATHEMATICAL PHYSICS
5. Theoretical, Mathematical and Computational Physics
6. TOPOLOGY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06905 


On Shelf 




9.


Title  Algebras and Orders 
Author(s)  Rosenberg, Ivo G;Sabidussi, Gert 
Publication  Dordrecht, Springer Netherlands, 1993. 
Description  XVIII, 558 p : online resource 
Abstract Note  In the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and wellestablished reputation. This book contains the contributions of the invited speakers. Universal algebra which established itself only in the 1930's grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a wellestablished and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos?? ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties 
ISBN,Price  9789401706971 
Keyword(s)  1. ALGEBRA
2. Computer science???Mathematics
3. Discrete Mathematics in Computer Science
4. EBOOK
5. EBOOK  SPRINGER
6. MATHEMATICAL LOGIC
7. Mathematical Logic and Foundations
8. NUMBER THEORY
9. Order, Lattices, Ordered Algebraic Structures
10. Ordered algebraic structures
11. TOPOLOGY

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I05135 


On Shelf 




10.
 
Title  Knots, braids, and mobius stripe: Particle Physics and the Geometry of Elementarity: An Alternative View 
Author(s)  Jack Avrin 
Publication  New Jersey, World Scientific Publishing Co. Pvt. Ltd., 2015. 
Description  xx, 332p. 
Series  (Series on Knots and Everything) 
Abstract Note  Elementary particles in this book exist as Solitons inandof the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead directly to their physical attributes and behavior as well as to a simplification and reduction of assumptions and the importation of parameter values. The emphasis of the book is thus on that geometry, the algebraic geometry associated with taxonomical issues and the differential geometry that determines the physics as well as on simplifying the results. In itself, however, the process of assembling and developing what eventually went into the book has been a singularly rewarding journey. Along the way some fascinating insights and connections to known physical attributes and theories emerge, some predictable but others unbidden and even unanticipated. The book is intended to summarize that journey in a way that, readers with a range of backgrounds will find interesting and provocative. Connections to other physical theories and subjects are also discussed. A most gratifying development is the emergence of a unifying principle underlying the epistemological structure of not only the elementary particles but of such diverse fields as Radar, Quantum mechanics, Biology, Cosmology and the Philosophy of science. 
ISBN,Price  9789814616003 : US $98.00(HB) 
Classification  514:539.12

Keyword(s)  1. ALGEBRIC GEOMETRY
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK  WORLD SCIENTIFIC
5. GEOMETRY
6. PARTICLE PHYSICS
7. TOPOLOGY

Item Type  Book 
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Call#  Status  Issued To  Return Due On  Physical Location 
025989 

514:539.12/AVR/025989 
On Shelf 



OB1229 

514:539.12/AVR/ 
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