Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book provides readers with a superior understanding of
Tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. This second edition gives an in-depth, up-to-date view of pra
Seeks to provide a mathematical theory for the solution of three main problems: well-posedness and regularity of the controlled dynamics; stabilization and stability; and optimal control for both fini
This fully revised new edition provides a self-contained presentation of the mathematical foundations, constructions and tools necessary for studying problems where the modeling, optimization or contr
This book addresses modern nonlinear programming concepts and algorithms, especially as they apply to challenging applications in chemical process engineering. It relates the material to real-world pr
An undergraduate textbook that highlights motivating applications and contains summary sections, examples, exercises, online MATLAB codes and a MATLAB toolkit. All the major topics of computational li
This book provides a comprehensive treatment of the theory of polynomials in a complex variable with matrix coefficients. Basic matrix theory can be viewed as the study of the special case of polynomi
The familiar plane geometry of high school — figures composed of lines and circles — takes on a new life when viewed as the study of properties that are preserved by special groups of transformations.
Sandifer (mathematics, Western Connecticut State U.) takes a suitably respectful but also jocose tone in this compilation of his 40 monthly chapters about the work of the Swiss mathematician and scien
A remarkable collection, which discusses not only Euler's well-known achievements in pure mathematics, but also his contributions in many other areas, from astronomy to music. Even readers already fam
This collection of problems from the William Lowell Putnam Competition is unlike the two previous volumes: it places the problems in the context of important mathematical themes. The authors highlight
A compilation of 350 problems and solutions previously featured in the American Mathematics Competitions and aimed at students in the first two years of high school. A Problem Index at the back of the
How could Dante's imaginary model of the earth imply the existence of a black hole at its core? How did Hesiod, a contemporary of Homer, decide the universe was the length a hammer would fall in nine
Betts (Research and Technology Division, The Boeing Company) updates and expands his guide to numerically solving optimal estimation and control problems, drawing most of his examples from the aerospa
This text provides a mathematically rigorous treatment of semidifferential calculus in the context of optimization, designed for a one-term course at the undergraduate level. The text includes backgro