

Click the serial number on the left to view the details of the item. 
# 
Author  Title  Accn#  Year  Item Type  Claims 
1 
Randall Pruim 
Foundations and applications of statistics: An Introduction Using R 
026070 
2011 
Book 

2 
Gregory Berkolaiko 
Introduction to quantum graphs 
026068 
2013 
Book 

3 
John B. Walsh 
Knowing the odds: An Introduction to Probability 
026067 
2012 
Book 

4 
Herbert Edelsbrunner 
Computational topology: An Introduction 
025018 
2010 
Book 

5 
Pavel Etingof 
Introduction to representation theory 
024088 
2011 
Book 

6 
Ronald Solomon 
Abstract algebra 
023546 
2003 
Book 

7 
Bennett Chow 
Hamilton's ricci flow 
023544 
2006 
Book 

8 
Barry Simon 
Representations of finite and compact groups 
022760 
1996 
Book 

9 
Lawrence C. Evans 
Partial differential equations 
022759 
1998 
Book 

10 
Bennett Chow 
Ricci flow: An introduction 
021982 
2004 
Book 


2.


Title  Introduction to quantum graphs 
Author(s)  Gregory Berkolaiko;Peter Kuchment 
Publication  Providence, American Mathematical Society, 2013. 
Description  xiii, 270p. 
Series  (Mathematical Surveys and Monographs) 
Abstract Note  A "quantum graph" is a graph considered as a onedimensional complex and equipped with a differential operator ("Hamiltonian"). Quantum graphs arise naturally as simplified models in mathematics, physics, chemistry, and engineering when one considers propagation of waves of various nature through a quasionedimensional system that looks like a thin neighborhood of a graph. Works that currently would be classified as discussing quantum graphs have been appearing since at least the 1930s, and since then, quantum graphs techniques have been applied successfully in various areas of mathematical physics, mathematics in general and its applications. One can mention, for instance, dynamical systems theory, control theory, quantum chaos, Anderson localization, microelectronics, photonic crystals, physical chemistry, nanosciences, superconductivity theory, etc. 
ISBN,Price  9781470425999 : Rs. 960.00(PB) 
Classification  519.17

Keyword(s)  1. GRAPH THEORY
2. GRAPHS
3. PERIODIC GRAPHS
4. QUANTUM GRAPH

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
026068 

519.17/BER/02608 
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5.


Title  Introduction to representation theory 
Author(s)  Pavel Etingof;Oleg Golberg;Sebastian Hensel;Tiankai Liu 
Publication  Rhode Island, American Mathematical Society, 2011. 
Description  vii, 228p. 
Series  (Student Mathematical Library) 
Abstract Note  Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory.
The goal of this book is to give a "holistic" introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints.
The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.
Readership
Undergraduate and graduate students interested in algebra and representation theory. 
ISBN,Price  9780821853511 : $ 42.00(PB) 
Classification  512.547

Keyword(s)  REPRESENTATION THEORY

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
024088 

512.547/ETI/024088 
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6.


Title  Abstract algebra 
Author(s)  Ronald Solomon 
Publication  Providence, American Mathematical Society, 2003. 
Description  xii, 227p. 
Abstract Note  This undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semihistorical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. Avoiding excessive abstraction whenever possible, the text focuses on the central problem of studying the solutions of polynomial equations. Highlights include a proof of the Fundamental Theorem of Algebra, essentially due to Euler, and a proof of the constructability of the regular 17gon, in the manner of Gauss. Another novel feature is the introduction of groups through a meditation on the meaning of congruence in the work of Euclid. Everywhere in the text, the goal is to make clear the links connecting abstract algebra to Euclidean geometry, high school algebra, and trigonometry, in the hope that students pursuing a career as secondary mathematics educators will carry away a deeper and richer understanding of the high school mathematics curriculum. Another goal is to encourage students, insofar as possible in a textbook format, to build the course for themselves, with exercises integrally embedded in the text of each chapter. 
ISBN,Price  9780821852101 : Rs. 500.00(PB) 
Classification  512

Keyword(s)  1. FIELDS
2. GROUPS
3. POLYNOMIAL EQUATIONS
4. RINGS
5. THEOREM OF ALGEBRA

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
023546 

512/SOL/023546 
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7.


Title  Hamilton's ricci flow 
Author(s)  Bennett Chow;Peng Li;Lei Ni 
Publication  Providence, Rhode Island , American Mathematical Society, 2006. 
Description  xxxvi, 608p. 
Series  (Graduate studies in mathematics) 
Abstract Note  Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students and mathematicians interested in working in the subject. To this end, the first chapter is a review of the relevant basics of Riemannian geometry. For the benefit of the student, the text includes a number of exercises of varying difficulty. The book also provides brief introductions to some general methods of geometric analysis and other geometric flows. Comparisons are made between the Ricci flow and the linear heat equation, mean curvature flow, and other geometric evolution equations whenever possible. Several topics of Hamilton's program are covered, such as short time existence, Harnack inequalities, Ricci solitons, Perelman's no local collapsing theorem, singularity analysis, and ancient solutions. A major direction in Ricci flow, via Hamilton's and Perelman's works, is the use of Ricci flow as an approach to solving the Poincare conjecture and Thurston's geometrization conjecture. 
ISBN,Price  9780821852217 : Rs. 1195.00(PB) 
Classification  514.7

Keyword(s)  1. DIFFERENTIAL GEOMETRY
2. RICCI FLOW
3. RIEMANNIAN MANIFOLDS

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
023544 

514.7/CHO/023544 
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