Biochemical Thermodynamics: Applications of Mathematica 書角輕微擠壓

類似書籍推薦給您

【簡介】 Navigate the complexities of biochemical thermodynamics with Mathematica(r) Chemical reactions are studied under the constraints of constant temperature and constant pressure; biochemical reactions are studied under the additional constraints of pH and, perhaps, pMg or free concentrations of other metal ions. As more intensive variables are specified, more thermodynamic properties of a system are defined, and the equations that represent thermodynamic properties as a function of independent variables become more complicated. This sequel to Robert Alberty's popular Thermodynamics of Biochemical Reactions describes how researchers will find Mathematica(r) a simple and elegant tool, which makes it possible to perform complex calculations that would previously have been impractical. Biochemical Thermodynamics: Applications of Mathematica(r) provides a comprehensive and rigorous treatment of biochemical thermodynamics using Mathematica(r) to practically resolve thermodynamic issues. Topics covered include: * Thermodynamics of the dissociation of weak acids * Apparent equilibrium constants * Biochemical reactions at specified temperatures and various pHs * Uses of matrices in biochemical thermodynamics * Oxidoreductase, transferase, hydrolase, and lyase reactions * Reactions at 298.15K * Thermodynamics of the binding of ligands by proteins * Calorimetry of biochemical reactions Because Mathematica(r) allows the intermingling of text and calculations, this book has been written in Mathematica(r) and includes a CD-ROM containing the entire book along with macros that help scientists and engineers solve their particular problems. 【目錄】

Game Theory Explained: A Mathematical Introduction with Optimization (1版)

類似書籍推薦給您

【簡介】 This book provides an introduction to the mathematical theory of games using both classical methods and optimization theory. Employing a theorem-proof-example approach, the book emphasizes not only results in game theory, but also how to prove them.Part 1 of the book focuses on classical results in games, beginning with an introduction to probability theory by studying casino games and ending with Nash’s proof of the existence of mixed strategy equilibria in general sum games. On the way, utility theory, game trees and the minimax theorem are covered with several examples. Part 2 introduces optimization theory and the Karush-Kuhn-Tucker conditions and illustrates how games can be rephrased as optimization problems, thus allowing Nash equilibria to be computed. Part 3 focuses on cooperative games. In this unique presentation, Nash bargaining is recast as a multi-criteria optimization problem and the results from linear programming and duality are revived to prove the classic Bondareva-Shapley theorem. Two appendices covering prerequisite materials are provided, and a ＂bonus＂ appendix with an introduction to evolutionary games allows an instructor to swap out some classical material for a modern, self-contained discussion of the replicator dynamics, the author’s particular area of study.