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 #  AuthorTitleAccn#YearItem 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  
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TitleFoundations and applications of statistics: An Introduction Using R
Author(s)Randall Pruim
PublicationProvidence, American Mathematical Society, 2011.
Descriptionxviii, 615p.
Series(Pune and Applied Undergraduate Texts)
Abstract NoteFoundations and Applications of Statistics simultaneously emphasizes both the foundational and the computational aspects of modern statistics. Engaging and accessible, this book is useful to undergraduate students with a wide range of backgrounds and career goals.
ISBN,Price9781470425777 : Rs. 1320.00(PB)
Classification519.22:681.3.06R
Keyword(s)1. CONTINUOUS DISTRIBUTION 2. LINEAR MODELS (STATISTICS) 3. PROBABILITY 4. PROGRAMMING LANGUAGE - R 5. R PROGRAMMING LANGUAGE 6. STATISTICS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026070   519.22:681.3.06R/PRU/026070  On Shelf    

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TitleIntroduction to quantum graphs
Author(s)Gregory Berkolaiko;Peter Kuchment
PublicationProvidence, American Mathematical Society, 2013.
Descriptionxiii, 270p.
Series(Mathematical Surveys and Monographs)
Abstract NoteA "quantum graph" is a graph considered as a one-dimensional 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 quasi-one-dimensional 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, nano-sciences, superconductivity theory, etc.
ISBN,Price9781470425999 : Rs. 960.00(PB)
Classification519.17
Keyword(s)1. GRAPH THEORY 2. GRAPHS 3. PERIODIC GRAPHS 4. QUANTUM GRAPH
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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026068   519.17/BER/02608  On Shelf    

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TitleKnowing the odds: An Introduction to Probability
Author(s)John B. Walsh
PublicationProvidence, American Mathematical Society, 2012.
Descriptionxvi, 421p.
Series(Graduate Studies in Mathematics)
Abstract NoteThis book covers in a leisurely manner all the standard material that one would want in a full year probability course with a slant towards applications in financial analysis at the graduate or senior undergraduate honors level. It contains a fair amount of measure theory and real analysis built in but it introduces sigma-fields, measure theory, and expectation in an especially elementary and intuitive way. A large variety of examples and exercises in each chapter enrich the presentation in the text.
ISBN,Price9781470425852 : Rs. 1140.00(PB)
Classification519.21
Keyword(s)1. BROWNIAN MOTION 2. COVERGENCE 3. PROBABILITY 4. RANDOM VARIABLES
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026067   519.21/WAL/026067  On Shelf    

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TitleComputational topology: An Introduction
Author(s)Herbert Edelsbrunner;John L. Harer
PublicationRhode Island, American Mathematical Society, 2010.
Descriptionxii, 241p.
Abstract NoteCombining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
ISBN,Price978147049289 : Rs. 680.00(PB)
Classification515-3
Keyword(s)1. COMPUTATIONAL TOPOLOGY 2. TOPOLOGY
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
025018   515-3/EDE/025018  On Shelf    

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TitleIntroduction to representation theory
Author(s)Pavel Etingof;Oleg Golberg;Sebastian Hensel;Tiankai Liu
PublicationRhode Island, American Mathematical Society, 2011.
Descriptionvii, 228p.
Series(Student Mathematical Library)
Abstract NoteVery 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,Price9780821853511 : $ 42.00(PB)
Classification512.547
Keyword(s)REPRESENTATION THEORY
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
024088   512.547/ETI/024088  On Shelf    

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TitleAbstract algebra
Author(s)Ronald Solomon
PublicationProvidence, American Mathematical Society, 2003.
Descriptionxii, 227p.
Abstract NoteThis undergraduate text takes a novel approach to the standard introductory material on groups, rings, and fields. At the heart of the text is a semi-historical 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 17-gon, 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,Price9780821852101 : Rs. 500.00(PB)
Classification512
Keyword(s)1. FIELDS 2. GROUPS 3. POLYNOMIAL EQUATIONS 4. RINGS 5. THEOREM OF ALGEBRA
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
023546   512/SOL/023546  On Shelf    

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TitleHamilton's ricci flow
Author(s)Bennett Chow;Peng Li;Lei Ni
PublicationProvidence, Rhode Island , American Mathematical Society, 2006.
Descriptionxxxvi, 608p.
Series(Graduate studies in mathematics)
Abstract NoteRicci 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,Price9780821852217 : Rs. 1195.00(PB)
Classification514.7
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. RICCI FLOW 3. RIEMANNIAN MANIFOLDS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
023544   514.7/CHO/023544  On Shelf    

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TitleRepresentations of finite and compact groups
Author(s)Barry Simon
PublicationProvidence, Rhode Island, American Mathematical Society, 1996.
Descriptionxii, 266p.
Series(Graduate studies in mathematics)
ISBN,Price9780821848517 : Rs. 640.00(PB)
Classification512.54
Keyword(s)1. COMPACT GROUP 2. FINITE GROUPS 3. GROUP REPRESENTATION
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
022760   512.54/SIM/022760  On Shelf    

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TitlePartial differential equations
Author(s)Lawrence C. Evans
Edition2nd ed. Acc No. #26210
PublicationProvidence, Rhode Island , American Mathematical Society, 1998.
Descriptionxvii, 662p.
Series(Graduate studies in mathematics)
ISBN,Price9780821848593 : Rs. 980.00(PB)
Classification517.95
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. PARTIAL DIFFERENTIAL EQUATIONS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
022759   517.95/EVA/022759  On Shelf    
026210   517.95/EVA/026210  On Shelf    

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TitleRicci flow: An introduction
Author(s)Bennett Chow;Dan Knopf
PublicationRhode Island, American Mathematical Society, 2004.
Descriptionxii, 325p.
Series(Mathematical serveys and monographs; Vol. 110)
ISBN,Price9780821835157 : US $ 84.00(PB)
Classification514.7
Keyword(s)1. GEOMETRIC EVOLUTION EQUATION 2. RICCI FLOW 3. RIEMANNIAN MANIFOLDS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
021982   BEN/021982  On Shelf    

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