This volume is a collection of contributed papers that explore the solution of mathematical programming problems where the standard assumption of differentiability—the ability to calculate smooth derivatives—is dropped. Nondifferentiable optimization (also known as nonsmooth optimization) addresses problems involving functions with sharp "corners" or discontinuous derivatives, which cause c…
This textbook provides a rigorous introduction to functional analysis with a specific focus on Hilbert spaces and their practical applications. Balakrishnan views functional analysis as the essential language for addressing complex problems in system optimization, control systems, and mathematical economics. The text covers foundational topics such as linear operators, spectral theory, and semi…
This textbook provides a foundational introduction to three-dimensional analytical geometry, designed specifically for undergraduate students (B.A./B.Sc.). It covers essential topics such as the coordinates of points in space, equations of lines and planes, and the properties of curved surfaces including spheres, cones, and cylinders. The book is characterized by its structured approach to solv…
Trace Analysis: Spectroscopic Methods for Molecules (1986), edited by Gary D. Christian and James B. Callis, serves as a comprehensive technical guide to the identification and quantification of molecular species at extremely low concentrations. As Volume 84 of the Chemical Analysis series, it was designed as a direct companion to Volume 46, which covered trace analysis for elements. While ele…
This classic work introduces readers to a completely different way of looking at familiar geometric facts by focusing on transformations of the plane that do not alter the shape or size of figures. It specifically explores distance-preserving transformations—such as translations, rotations, reflections, and glide reflections—to bridge high school Euclidean geometry with sophisticated group-…
One of the first college-level texts for elementary courses in the subject, this book provides a concise, readable introduction to non-Euclidean geometry geared toward students with a background in calculus. It offers a detailed historical treatment of the centuries-long attempt to prove Euclid’s parallel postulate and covers key topics such as hyperbolic and elliptic plane geometry and trigo…
Analytical Chemistry provides a comprehensive introduction to the principles and practical applications of quantitative chemical analysis. This text is designed to bridge the gap between theoretical chemistry and laboratory practice, emphasizing the importance of accuracy, precision, and the statistical evaluation of data.
The book serves as a definitive guide to measuring heat changes—both as a physical property and as a reaction indicator—to analyze biological substances. It bridges the gap between fundamental thermodynamic theory and practical laboratory application, emphasizing that heat is a universal signal for nearly all biochemical processes.