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 Hindustan Book Agency 2012; 362 pp; hardcover ISBN-13: 978-93-80250-47-2 List Price: US$55 Member Price: US$44 Order Code: HIN/57 Rajendra Bhatia has written several expository articles for renowned journals such as The American Mathematical Monthly, Mathematical Intelligencer, and Resonance. These elementary articles have often spurred research papers by other authors. On the other hand, some of his research articles present major ideas in such a simple way that they can be profitably read by beginners. This volume contains a selection of such articles compiled by the editors. The articles, on a variety of topics in analysis and linear algebra, can be read as introductions to interesting ideas. They can also be used as a basis for projects and master's dissertations and for workshops and refresher courses for college teachers. A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership Graduate students interested in analysis and linear algebra. Table of Contents with T. Ando, Eigenvalue inequalities associated with the Cartesian decomposition with M.D. Choi and C. Davis, Comparing a matrix to its off-diagonal part Matrix factorisations and their perturbations with P. Rosenthal, How and why to solve the operator equation $$AX - XB = Y$$ with P. Semrl, Approximate isometries on Euclidean spaces with K.R. Parthasarathy, Positive definite functions and operator inequalities with C. Davis, A better bound on the variance Pinching, trimming, truncating, and averaging of matrices Linear algebra to quantum cohomology: The story of Alfred Horn's inequalities Partial traces and entropy inequalities On the exponential metric increasing property Infinitely divisible matrices with J. Holbrook, Noncommutative geometric means Spectral variation, normal matrices, and Finsler geometry with J. A. Dias da Silva, Infinite divisibility of GCD matrices with M. Uchiyama, The operator equation $$\sum_{i=0}^{n}A^{n-i}XB^{i}=Y$$ Modulus of continuity of the matrix absolute value Min matrices and mean matrices The work of W. T. Gowers Orthogonalisation of vectors with R. Mohan, Triangularization of a matrix Eigenvalues of $$AB$$ and $$BA$$ The unexpected appearance of pi in diverse problems Calculus of operator functions A conversation with S. R. S. Varadhan