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Legacy of Alladi Ramakrishnan in the Mathematical Sciences [Hardback]

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  • Formāts: Hardback, 575 pages, height x width: 235x155 mm, weight: 1160 g, XVII, 575 p., 1 Hardback
  • Izdošanas datums: 01-Sep-2010
  • Izdevniecība: Springer-Verlag New York Inc.
  • ISBN-10: 144196262X
  • ISBN-13: 9781441962621
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  • Formāts: Hardback, 575 pages, height x width: 235x155 mm, weight: 1160 g, XVII, 575 p., 1 Hardback
  • Izdošanas datums: 01-Sep-2010
  • Izdevniecība: Springer-Verlag New York Inc.
  • ISBN-10: 144196262X
  • ISBN-13: 9781441962621
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Alladi Ramakrishnan (19232008) was an eminent scientist who had a wide range of research interests in theoretical and mathematical physics. Professor Ramakrishnan made signi cant contributions to probability and statistics, elem- tary particle physics, cosmic rays and astrophysics, matrix theory, and the special theory of relativity. Ramakrishnan believedstrongly that in addition to doing fun- mental research, one must contribute to the advancementof the profession. Inspired by his visit to the Institute for Advanced Study in Princeton in 19571958, he returned to Madras and began the Theoretical Physics Seminar at his family home Ekamra Nivas. These seminars were ultimately responsible for the creation of MATSCIENCE, The Institute of Mathematical Sciences in 1962. This institute, of which he was the Director for its ?rst 21years, has grown steadily in size and stature, and is his monumental contribution to the profession. In a distinguished scienti c life that has spanned more than ?ve decades, Professor Ramakrishnan has come into close contact with, and was in uenced by, several eminent mathema- cians and physicists, and has moulded the careers of his several students and young researchers. This volume, which is a tribute to his great legacy, not only deals with his signi cant contributions to research and the profession, but also contains a ?ne collection of research and survey papers by leading physicists and mathematicians that cover a broad range of areas in the mathematical sciences.
Preface vii
Part I The Legacy of Alladi Ramakrishnan
Contributions of Alladi Ramakrishnan to the Mathematical Sciences
3(8)
Krishnaswami Alladi
Alladi Ramakrishnan's Theoretical Physics Seminar
11(14)
Krishnaswami Alladi
Telegrams Received for the MATSCIENCE Inauguration
25(42)
Krishnaswami Alladi
The Miracle has Happened
67(6)
Alladi Ramakrishnan
Overseas Trips of Alladi Ramakrishnan
73(20)
Krishnaswami Alladi
List of Publications of Alladi Ramakrishnan
81(8)
List of PhD Students of Alladi Ramakrishnan
89(4)
Part II Pure Mathematics
Inversion and Invariance of Characteristic Terms: Part I
93(76)
Shreeram S. Abhyankar
Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities
169(14)
Krishnaswami Alladi
q-Catalan Identities
183(8)
George E. Andrews
Completing Brahmagupta's Extension of Ptolemy's Theorem
191(8)
Richard Askey
A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan's Lost Notebook
199(12)
Bruce C. Berndt
Atul Dixit
Ternary Quadratic Forms, Modular Equations, and Certain Positivity Conjectures
211(32)
Alexander Berkovich
William C. Jagy
How Often is n! a Sum of Three Squares?
243(10)
Jean-Marc Deshouillers
Florian Luca
Eulerian Polynomials: From Euler's Time to the Present
253(22)
Dominique Foata
Crystal Symmetry Viewed as Zeta Symmetry II
275(18)
Shigeru Kanemitsu
Haruo Tsukada
Positive Homogeneous Minima for a System of Linear Forms
293(6)
Srinivasacharya Raghavan
The Divisor Matrix, Dirichlet Series, and SL (2, Z)
299(30)
Peter Sin
John G. Thompson
Proof of a Conjecture of Alladi Ramakrishnan on Circulants
329(8)
Michel Waldschmidt
Part III Probability and Statistics
Branching Random Walks
337(14)
K.B. Athreya
A Commentary on the Logistic Distribution
351(8)
Malay Ghosh
Kwok Pui Choi
Jialiang Li
Entropy and Cross Entropy: Characterizations and Applications
359(10)
C.R. Rao
Optimal Weights for a Class of Rank Tests for Censored Bivariate Data
369(20)
Samuel S. Wu
P.V. Rao
Aparna Raychudhuri
Connections Between Bernoulli Strings and Random Permutations
389(12)
Jayaram Sethuraman
Sunder Sethuraman
Storage Models for a Class of Master Equations with Separable Kernels
401(18)
P.R. Vittal
S. Jayasankar
V. Muralidhar
Part IV Theoretical Physics and Applied Mathematics
Inverse Consistent Deformable Image Registration
419(22)
Yunmei Chen
Xiaojing Ye
A Statistical Model for the Quark Structure of the Nucleon
441(24)
V. Devanathan
S. Karthiyayini
On Generalized Clifford Algebras and their Physical Applications
465(26)
Ramaswamy Jagannathan
(p, q)-Rogers-Szego Polynomial and the (p, q)-Oscillator
491(12)
Ramaswamy Jagannathan
Raghavendra Sridhar
Rethinking Renormalization
503(26)
John R. Klauder
Magnetism, FeS Colloids, and Origins of Life
529(36)
Gargi Mitra-Delmotte
A.N. Mitra
The Ehrenfest Theorem in Quantum Field Theory
565
Ragavachariar Parthasarathy
Krishnaswami Alladi is the editor in Chief of Springer's Ramanujan Journal, and the Development in Mathematics Book series. He was chair of the mathematics department of the University of Florida. In addition to his contributions of bibliographic material about his father, Krishnaswami Alladi has directed and organized the development of this tribute volume.

C.R. Rao is inarguably the most prominent academic in the field of Statistics in current times.

John Klauder has served on the Physics Advisory Panel of the NSF and been Editor of the Journal of Mathematical Physics, and as President of the International Association of Mathematical Physics.