Bøger af Kenneth Lange

Algorithms are a dominant force in modern culture, and every indication is that they will become more pervasive, not less. The best algorithms are undergirded by beautiful mathematics. This text cuts across discipline boundaries to highlight some of the most famous and successful algorithms, and the principles behind them.

This updated new edition includes a wealth of additional material. As well as its integration of mathematical theory and numerical algorithm development, it features new chapters on topics such as the calculus of variations, integration, and block relaxation.

With new chapters on asymptotic and numerical methods, as well as an appendix on the finer points of the mathematical theory, this second edition emphasizes mathematical modeling, computational techniques, and examples from the biological sciences

Presenting aspects of numerical analysis applicable to statisticians, this volume enables students to craft their own software and to understand both the advantages and challenges of numerical methods. Topics include numerical stability, accurate approximations, computational complexity and more.

Written to equip students in the mathematical siences to understand and model the epidemiological and experimental data encountered in genetics research. This second edition expands the original edition by over 100 pages and includes new material. Sprinkled throughout the chapters are many new problems.

Presents the first extended treatment of MM algorithms, which are ideal for high-dimensional optimization problems in data mining, imaging, and genomics. The author derives numerous algorithms from a broad diversity of application areas, with a particular emphasis on statistics, biology, and data mining.