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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 |
|
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|
2.
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| 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 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,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 |
On Shelf |
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+Copy Specific Information |
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5.
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| 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 |
On Shelf |
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+Copy Specific Information |
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6.
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| 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 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,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 |
On Shelf |
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7.
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| 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
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| Item Type | Book |
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| 023544 |
|
514.7/CHO/023544 |
On Shelf |
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