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020 _a9781441962638
_9978-1-4419-6263-8
040 _cMX-MeUAM
050 4 _aQA150-272
082 0 4 _a512
_223
100 1 _aAlladi, Krishnaswami.
_eeditor.
245 1 4 _aThe Legacy of Alladi Ramakrishnan in the Mathematical Sciences
_h[recurso electrónico] /
_cedited by Krishnaswami Alladi, John R. Klauder, Calyampudi R. Rao.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2010.
300 _aXVII, 575 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aThe Legacy of Alladi Ramakrishnan -- Contributions of Alladi Ramakrishnan to the Mathematical Sciences -- Alladi Ramakrishnan’s Theoretical Physics Seminar -- Telegrams Received for the MATSCIENCE Inauguration -- The Miracle has Happened -- Overseas Trips of Alladi Ramakrishnan -- List of Publications of Alladi Ramakrishnan -- List of PhD Students of Alladi Ramakrishnan -- Pure Mathematics -- Inversion and Invariance of Characteristic Terms: Part I -- Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities -- q-Catalan Identities -- Completing Brahmagupta’s Extension of Ptolemy’s Theorem -- A Transformation Formula Involving the Gamma and Riemann Zeta Functions in Ramanujan’s Lost Notebook -- Ternary Quadratic Forms, Modular Equations, and Certain Positivity Conjectures -- How Often is n! a Sum of Three Squares? -- Eulerian Polynomials: From Euler’s Time to the Present -- Crystal Symmetry Viewed as Zeta Symmetry II -- Positive Homogeneous Minima for a System of Linear Forms -- The Divisor Matrix, Dirichlet Series, and SL(2, Z) -- Proof of a Conjecture of Alladi Ramakrishnan on Circulants -- Probability and Statistics -- Branching Random Walks -- A Commentary on the Logistic Distribution -- Entropy and Cross Entropy: Characterizations and Applications -- Optimal Weights for a Class of Rank Tests for Censored Bivariate Data -- Connections Between Bernoulli Strings and Random Permutations -- Storage Models for a Class of Master Equations with Separable Kernels -- Theoretical Physics and Applied Mathematics -- Inverse Consistent Deformable Image Registration -- A Statistical Model for the Quark Structure of the Nucleon -- On Generalized Clifford Algebras and their Physical Applications -- (p, q)-Rogers-Szegö Polynomial and the (p, q)-Oscillator -- Rethinking Renormalization -- Magnetism, FeS Colloids, and Origins of Life -- The Ehrenfest Theorem in Quantum Field Theory.
520 _aIn a distinguished scientific life that had spanned over five decades, Alladi Ramakrishnan made significant contributions to probability and statistics, elementary particle physics, cosmic rays and astrophysics, matrix theory, and the special theory of relativity. Inspired by his visit to the Institute of Advanced Study during 1957-1958, and the direct influences of Robert Oppenheimer, Niels Bohr, Sir C.V. Raman, S. Chandrasekhar, and other notable contemporaries, he later founded the Institute of Mathematical Sciences (MATSCIENCE) in Madras, India. In the spirit of Alladi Ramakrishnan’s profound interest and contributions to three fields of science — Mathematics, Statistics, and Physics — this volume contains invited surveys and research articles from prominent members of these communities who also knew Ramakrishnan personally and greatly respected his influence in these areas of science. Historical photos, telegrams, and biographical narratives of Alladi Ramakrishnan’s illustrious career of special interest are included as well.
650 0 _aMathematics.
650 0 _aAlgebra.
650 0 _aNumber theory.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aAlgebra.
650 2 4 _aNumber Theory.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
700 1 _aKlauder, John R.
_eeditor.
700 1 _aRao, Calyampudi R.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441962621
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-6263-8
596 _a19
942 _cLIBRO_ELEC
999 _c199489
_d199489