Hindustan Book Agency 2012; 362 pp; hardcover ISBN13: 9789380250472 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 offdiagonal 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 \(\sum_{i=0}^{n}A^{ni}XB^{i}=Y\)
 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
