Nicholas J. Higham

Nicholas J. Higham is a distinguished mathematician and professor at the University of Manchester, where he holds the Richardson Chair of Applied Mathematics. He is widely recognized for his contributions to numerical linear algebra and matrix computations. Higham's research has focused on the accuracy and stability of numerical algorithms, particularly those involving matrices. His book "Accuracy and Stability of Numerical Algorithms" (2002) has become a standard reference in the field, while "Functions of Matrices: Theory and Computation" (2008) offers comprehensive coverage of matrix functions. His work extends beyond pure research into scientific computing and practical applications. Higham has developed widely-used algorithms for matrix functions and numerical software that is incorporated into commercial packages like MATLAB. The recipient of numerous awards, including the Fröhlich Prize and the Gold Medal from the Institute of Mathematics and its Applications, Higham also maintains an active presence in academic publishing. He serves as editor for several prominent mathematical journals and has authored over 140 refereed publications throughout his career.

Readers value Higham's clear explanations of complex mathematical concepts in his textbooks and reference works. Students and professionals in numerical analysis cite his detailed proofs and practical examples, particularly in "Accuracy and Stability of Numerical Algorithms." What readers liked: - Thorough treatment of topics with complete mathematical derivations - Inclusion of worked examples and MATLAB code - High-quality typesetting and clear equation formatting - Extensive references and citations - Accessibility for graduate-level readers What readers disliked: - Dense technical content challenging for undergraduates - Limited introductory material for newcomers to the field - High textbook prices - Some typographical errors in early editions Ratings: - Goodreads: 4.5/5 (12 ratings) for "Functions of Matrices" - Amazon: 4.7/5 (15 ratings) for "Accuracy and Stability" One reviewer noted: "The presentation is rigorous but readable, with helpful historical notes." Another mentioned: "Essential reference but not suitable as a first textbook on numerical methods."

Handbook of Writing for the Mathematical Sciences (1998) A technical writing guide covering style, composition, and publication processes for mathematical content.

MATLAB Guide (2016) A comprehensive reference for MATLAB programming and numerical computing, co-authored with Desmond J. Higham.

Functions of Matrices: Theory and Computation (2008) A technical exposition of matrix functions, their properties, and computational methods for their evaluation.

Accuracy and Stability of Numerical Algorithms (2002) An analysis of numerical stability and accuracy in computational algorithms, with emphasis on linear algebra.

The Princeton Companion to Applied Mathematics (2015) A reference work covering major topics, concepts, and methods in applied mathematics.

Stability of Block LU Factorization (2011) A mathematical examination of stability issues in block LU matrix factorization algorithms.

Computing the Polar Decomposition—with Applications (2017) A detailed treatment of polar matrix decomposition algorithms and their practical applications.

Bibliography of Chronological and Topical History of Numerical Analysis (2004) A comprehensive listing of historical developments in numerical analysis from ancient to modern times.

Gene H. Golub writes about numerical linear algebra and matrix computations with a focus on practical algorithms. His work includes detailed error analysis and implementation considerations similar to Higham's style.

James W. Demmel specializes in numerical analysis and scientific computing with emphasis on accuracy and stability of algorithms. He covers parallel computing and numerical linear algebra topics that complement Higham's work.

Lloyd N. Trefethen focuses on numerical analysis, spectral methods, and approximation theory. His writing combines mathematical rigor with computational insights in a manner similar to Higham's approach.

Gilbert Strang writes about linear algebra and its applications in scientific computing. His work connects theoretical foundations with practical numerical methods in a way that appeals to readers of Higham's books.

Peter Lax covers numerical analysis and partial differential equations from both theoretical and practical perspectives. His contributions to numerical mathematics include fundamental theorems and computational methods that align with Higham's areas of focus.