Mathematical Techniques In Chemistry

Algebra and elementary notions of functions; Diferentiation; Techniques of integration; Expansions in series; Differential equations; Matrices; Vectors; And tensors; Special functions.

Mathematical Methods for Physical and Analytical Chemistry presents mathematical and statistical methods to students of chemistry at the intermediate, post-calculus level. The content includes a review of general calculus; a review of numerical techniques often omitted from calculus courses, such as cubic splines and Newton’s method; a detailed treatment of statistical methods for experimental data analysis; complex numbers; extrapolation; linear algebra; and differential equations. With numerous example problems and helpful anecdotes, this text gives chemistry students the mathematical knowledge they need to understand the analytical and physical chemistry professional literature.

Many undergraduate students enter into chemistry courses from a wide range of backgrounds, often possessing various levels of experience with the mathematical concepts necessary for carrying out practical calculations in chemistry. Chemical Calculations: Mathematics for Chemistry, Second Edition provides a unified, student-friendly reference of mathematical concepts and techniques incorporated into the context of familiar chemical topics. Uniquely organized by chemical—rather than mathematical—topics, this book relates each mathematical technique to the chemical concepts where it applies. The new edition features additional, revised, and updated material in every chapter. It achieves greater clarity with newly improved organization of topics and cross-referencing where mathematical techniques occur more than once. The text also contains numerous worked examples along with end-of-chapter exercises and detailed solution—giving students the opportunity to apply previously introduced techniques to chemically related problems. An ideal course companion for chemistry courses throughout the length of a degree, the second edition of Chemical Calculations: Mathematics for Chemistry may also extend its utility as a concise and practical reference for professionals in a wide array of scientific disciplines involving chemistry.

Focusing on the application of mathematics to chemical engineering, Applied Mathematical Methods for Chemical Engineers, Second Edition addresses the setup and verification of mathematical models using experimental or other independently derived data. An expanded and updated version of its well-respected predecessor, this book uses worked

On the occasion of the fourth International Conference on Industrial and Applied Mathematics!, we decided to organize a sequence of 4 minisymposia devoted to the mathematical aspects and the numerical aspects of Quantum Chemistry. Our goal was to bring together scientists from different communities, namely mathematicians, experts at numerical analysis and computer science, chemists, just to see whether this heterogeneous set of lecturers can produce a rather homogeneous presentation of the domain to an uninitiated audience. To the best of our knowledgde, nothing of this kind had never been tempted so far. It seemed to us that it was the good time for doing it, both . because the interest of applied mathematicians into the world of computational chemistry has exponentially increased in the past few years, and because the community of chemists feels more and more concerned with the numerical issues. Indeed, in the early years of Quantum Chemistry, the pioneers (Coulson, Mac Weeny, just to quote two of them) used to solve fundamental equations modelling toy systems which could be simply numerically handled in view of their very limited size. The true difficulty arose with the need to model larger systems while possibly taking into account their interaction with their environment. Hand calculations were no longer possible, and computing science came into the picture.

Thanks to the progress made in instruments and techniques, the methods in physical chemistry have developed rapidly over the past few decades, making them increasingly valuable for scientists of many disciplines. These two must-have volumes meet the needs of the scientific community for a thorough overview of all the important methods currently used. As such, this work bridges the gap between standard textbooks and review articles, covering a large number of methods, as well as the motivation behind their use. A uniform approach is adopted throughout both volumes, while the critical comparison of the advantages and disadvantages of each method makes this a valuable reference for physical chemists and other scientists working with these techniques.