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Author  Title  Accn#  Year  Item Type  Claims 
1 
Yeats, Karen 
A Combinatorial Perspective on Quantum Field Theory 
I10034 
2017 
eBook 

2 
Vourdas, Apostolos 
Finite and Profinite Quantum Systems 
I09755 
2017 
eBook 

3 
Adamatzky, Andrew 
Cellular Automata 
I08961 
2018 
eBook 

4 
Hahn, Gena 
Graph Symmetry 
I02352 
1997 
eBook 

5 
Sauer, Norbert W 
Finite and Infinite Combinatorics in Sets and Logic 
I00234 
1993 
eBook 

6 
Arthur Knoebel 
Mathematical master pieces: Further chronicles by the explorers 
023026 
2007 
Book 

7 
JOHNSON, NORMAN L. 
Discrete multivariate distributions 
020010 
2004 
Book 

8 
Steven Skiena 
Implementing discreet mathematics: Combinatorics and graph theory with mathematica 
003765 
1990 
Book 

9 
JOHNSONBAUGH , RICHARD. 
Discrete mathematics 
002688 
1989 
Book 

10 
Angela B. Shiflet 
Discrete mathematics for computer science 
002589 
1987 
Book 


1.


Title  A Combinatorial Perspective on Quantum Field Theory 
Author(s)  Yeats, Karen 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  IX, 120 p. 16 illus : online resource 
Abstract Note  This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author???s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics. The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at DysonSchwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians 
ISBN,Price  9783319475516 
Keyword(s)  1. DISCRETE MATHEMATICS
2. EBOOK
3. EBOOK  SPRINGER
4. MATHEMATICAL PHYSICS
5. Quantum Field Theories, String Theory
6. QUANTUM FIELD THEORY
7. STRING THEORY

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I10034 


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2.


Title  Finite and Profinite Quantum Systems 
Author(s)  Vourdas, Apostolos 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  XIII, 196 p. 7 illus., 4 illus. in color : online resource 
Abstract Note  This monograph provides an introduction to finite quantum systems, a field at the interface between quantum information and number theory, with applications in quantum computation and condensed matter physics. The first major part of this monograph studies the socalled `qubits' and `qudits', systems with periodic finite lattice as position space. It also discusses the socalled mutually unbiased bases, which have applications in quantum information and quantum cryptography. Quantum logic and its applications to quantum gates is also studied. The second part studies finite quantum systems, where the position takes values in a Galois field. This combines quantum mechanics with Galois theory. The third part extends the discussion to quantum systems with variables in profinite groups, considering the limit where the dimension of the system becomes very large. It uses the concepts of inverse and direct limit and studies quantum mechanics on padic numbers. Applications of the formalism include quantum optics and quantum computing, twodimensional electron systems in magnetic fields and the magnetic translation group, the quantum Hall effect, other areas in condensed matter physics, and Fast Fourier Transforms. The monograph combines ideas from quantum mechanics with discrete mathematics, algebra, and number theory. It is suitable for graduate students and researchers in quantum physics, mathematics and computer science 
ISBN,Price  9783319594958 
Keyword(s)  1. DISCRETE MATHEMATICS
2. EBOOK
3. EBOOK  SPRINGER
4. MATHEMATICAL PHYSICS
5. QUANTUM COMPUTERS
6. Quantum computing
7. QUANTUM OPTICS
8. QUANTUM PHYSICS

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I09755 


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3.


Title  Cellular Automata : A Volume in the Encyclopedia of Complexity and Systems Science, Second Edition 
Author(s)  Adamatzky, Andrew 
Publication  New York, NY, 1. Imprint: Springer
2. Springer US, 2018. 
Description  425 illus., 190 illus. in color. eReference : online resource 
Abstract Note  This volume of the Encyclopedia of Complexity and Systems Science, Second Edition, provides an authoritative introduction and overview of the latest research in cellular automata (CA) models of physical systems, emergent phenomena, computational universality, chaos, growth phenomena, phase transitions, selforganised criticality, reactiondiffusion systems, selfreplications, parallel computation, and more. Fundamental topics of algorithmic complexity, algebraic groups, language theory, evolving CA, ergodic theory, synchronisation, tiling problems and undecidability and topological dynamics of CA are addressed. Cellular automata are regular uniform networks of locallyconnected finitestate machines, and represent discrete systems with nontrivial behavior, including waves, patterns and travelling localisations. CA are ubiquitous: they are mathematical models of computation and computer models of natural systems. Classes of CA presented in this book include additive CA, automata in hyperbolic spaces and noncompact spaces, CA in triangular, pentagonal and hexagonal tessellations, automata with memory, quantum and reversible automata, structurallydynamic CA, and asynchronous automata. Topics added to the second edition include: asynchronous cellular automata, stochastic cellular automata as models of reactiondiffusion processes, cellular automata hardware implementation, cellular automata basins of attraction, orbits of Bernoulli measures in cellular automata, and graphs related to reversibility and complexity in cellular. This stateoftheart reference is unique in bringing together unequalled expertise of interdisciplinary studies at the edge of mathematics, computer science, and physics 
ISBN,Price  9781493987009 
Keyword(s)  1. APPLIED MATHEMATICS
2. COMPLEX SYSTEMS
3. Computation by Abstract Devices
4. Computer logic
5. Computer science???Mathematics
6. COMPUTERS
7. DISCRETE MATHEMATICS
8. Discrete Mathematics in Computer Science
9. DYNAMICAL SYSTEMS
10. EBOOK
11. EBOOK  SPRINGER
12. ENGINEERING MATHEMATICS
13. Logics and Meanings of Programs
14. Mathematical and Computational Engineering
15. STATISTICAL PHYSICS

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I08961 


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4.


Title  Graph Symmetry : Algebraic Methods and Applications 
Author(s)  Hahn, Gena;Sabidussi, Gert 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 1997. 
Description  XX, 418 p : online resource 
Abstract Note  The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graphtheoretical language, vertextransitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre?? quently used models for such networks are Cayley graphs of various wellknown groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the biannual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertextransitive graphs. The classification of the finite simple groups has played an important role in this respect 
ISBN,Price  9789401589376 
Keyword(s)  1. COMBINATORICS
2. Computer Communication Networks
3. Computer communication systems
4. Computer science???Mathematics
5. DISCRETE MATHEMATICS
6. Discrete Mathematics in Computer Science
7. EBOOK
8. EBOOK  SPRINGER
9. GROUP THEORY
10. Group Theory and Generalizations
11. MICROPROCESSORS
12. Processor Architectures

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I02352 


On Shelf 




5.


Title  Finite and Infinite Combinatorics in Sets and Logic 
Author(s)  Sauer, Norbert W;Woodrow, R.E;Sands, B 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 1993. 
Description  XVII, 453 p : online resource 
Abstract Note  This volume contains the accounts of papers delivered at the Nato Advanced Study Institute on Finite and Infinite Combinatorics in Sets and Logic held at the Banff Centre, Alberta, Canada from April 21 to May 4, 1991. As the title suggests the meeting brought together workers interested in the interplay between finite and infinite combinatorics, set theory, graph theory and logic. It used to be that infinite set theory, finite combinatorics and logic could be viewed as quite separate and independent subjects. But more and more those disciplines grow together and become interdependent of each other with ever more problems and results appearing which concern all of those disciplines. I appreciate the financial support which was provided by the N. A. T. O. Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada and the Department of Mathematics and Statistics of the University of Calgary. 11l'te meeting on Finite and Infinite Combinatorics in Sets and Logic followed two other meetings on discrete mathematics held in Banff, the Symposium on Ordered Sets in 1981 and the Symposium on Graphs and Order in 1984. The growing interrelation between the different areas in discrete mathematics is maybe best illustrated by the fact that many of the participants who were present at the previous meetings also attended this meeting on Finite and Infinite Combinatorics in Sets and Logic 
ISBN,Price  9789401120807 
Keyword(s)  1. COMBINATORICS
2. Computer science???Mathematics
3. DISCRETE MATHEMATICS
4. Discrete Mathematics in Computer Science
5. EBOOK
6. EBOOK  SPRINGER
7. MATHEMATICAL LOGIC
8. Mathematical Logic and Foundations
9. MATHEMATICS
10. Mathematics, general

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I00234 


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6.


Title  Mathematical master pieces: Further chronicles by the explorers 
Author(s)  Arthur Knoebel;Reinhard Laubendacher;Jerry Lodder;David Pengelley 
Publication  New Delhi 2007. 
Description  xii, 333p. 
Abstract Note  This book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Although primary sources can be more demanding, the investment yields the rewards of a deeper understanding of the subject, an appreciation of the details, and a glimpse into the direction research has taken. Each chapter contains a different story, each anchored around a sequence of selected primary sources showcasing a masterpiece of mathematical achievement. The authors begin by studying the interplay between the discrete and continuous, with a focus on sums of powers. They proceed to the development of algorithms for finding numerical solutions of equations as developed by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, with its roots in the emerging calculus of the 17th century, while the final chapter ends with an exploration of the elusive properties of prime numbers, and the patterns found therein. This book emerged from a course taught at New Mexico State University to juniors and seniors majoring in mathematics. The intended audience is juniors and seniors majoring in mathematics, as well as anyone pursuing independent study. The authors have included exercises, numerous historical photographs, and an annotated bibliography. 
ISBN,Price  9788184895421 : Rs. 595(PB) 
Classification  510(091)

Keyword(s)  1. ALGORITHMS
2. CONTINUOUS MATHEMATICS
3. CURVATURE
4. DISCRETE MATHEMATICS
5. MATHEMATICS
6. NUMBER THEORY
7. PRIME NUMBERS

Item Type  Book 
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Call#  Status  Issued To  Return Due On  Physical Location 
023026 

510(091)/KNO/023026 
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