Perturbation Bounds for Matrix Eigenvalues contains a unified exposition of spectral variation inequalities for matrices. The text provides a complete and self-contained collection of bounds for the distance between the eigenvalues of two matrices, which could be arbitrary or restricted to special classes. The book s emphasis on sharp estimates, general principles, elegant methods, and powerful techniques, makes it a good reference for researchers and students.   For the SIAM Classics edition, the author has added over 60 pages of new material, which includes recent results and discusses the important advances made in the theory, results, and proof techniques of spectral variation problems in the two decades since the book s original publication.   Audience This updated edition is appropriate for use as a research reference for physicists, engineers, computer scientists, and mathematicians interested in operator theory, linear algebra, and numerical analysis. The text is also suitable for a graduate course in linear algebra or functional analysis.   Contents Preface to the Classics Edition; Preface; Introduction; Chapter 1: Preliminaries; Chapter 2: Singular values and norms; Chapter 3: Spectral variation of Hermitian matrices; Chapter 4: Spectral variation of normal matrices; Chapter 5: The general spectral variation problem; Chapter 6: Arbitrary perturbations of constrained matrices; Postscripts; References; Supplements 1986 2006; Chapter 7: Singular values and norms; Chapter 8: Spectral variation of Hermitian matrices; Chapter 9: Spectral variation of normal matrices; Chapter 10: Spectral variation of diagonalizable matrices; Chapter 11: The general spectral variation problem; Chapter 12: Arbitrary perturbations of constrained matrices; Chapter 13: Related Topics; Bibliography; Errata.

Perturbation Bounds for Matrix Eigenvalues (Pitman Research Notes in Mathematics Series)

Science & Math

Rajendra Bhatia

Mathematics

Longman Scientific & Technical

<p>This is a concise introduction to Fourier series covering history, major themes, theorems, examples, and applications. It can be used for self study, or to supplement undergraduate courses on mathematical analysis. Beginning with a brief summary of the rich history of the subject over three centuries, the reader will appreciate how a mathematical theory develops in stages from a practical problem (such as conduction of heat) to an abstract theory dealing with concepts such as sets, functions, infinity, and convergence. The abstract theory then provides unforeseen applications in diverse areas. Exercises of varying difficulty are included throughout to test understanding. A broad range of applications are also covered, and directions for further reading and research are provided, along with a chapter that provides material at a more advanced level suitable for graduate students.</p>

Fourier Series (Mathematical Association of America Textbooks)

American Mathematical Society

Matrix Analysis

Springer India

Fourier Series: Texts and Readings in Mathematics

HINDUSTAN

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010): In 4 Volumes (Hardcover)

Arup Pal

G. Rangarajan

V. Srinivas

M. Vanninathan

Hindustan Book Agency

<p>Notes On Functional Analysis by Rajendra Bhatia, 9789380250793</p>

Notes On Functional Analysis

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