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Large and small numbers. Logarithms. The slide rule. Graphical representation of equations. Graphs of equations of the second degree. Graphs of logarithmic and trigonometrical functions. Differential calculus. Differentiation. Graphs and calculus. The differential. Integral calculus. The significance of "e". Differentiation and integration of trigonometrical functions. Integration. The use of integration tebles. Geometrical application of integral calculus. Partial differentiation. Differential equations. Infinitive series. Probability. Graphical methods in physical chemistry.
This is the ideal textbook for those students who want to sharpen their mathematics skills while they are enrolled in a physical chemistry course. It provides students with a review of calculus and differential equations which will enable them to succeed in the physical chemistry course. Features: * Completeness: contains all of the mathematics needed in undergraduate physical chemistry * Clarity: Every sentence, every example, and every equation have been constructed to make it as clear as possible * Applications-oriented: Designed for applications of mathematics, not for mathematical theory; written for a chemist who needs to use mathematics, not for a mathematician who needs to study the underlying theory
This book is designed for a one-semester course, for undergraduates, not necessarily chemistry majors, who need to know something about physical chemistry. The emphasis is not on mathematical rigor, but subtleties and conceptual difficulties are not hidden. It covers the essential topics in physical chemistry, including the state of matter, thermodynamics, chemical kinetics, phase and chemical equilibria, introduction to quantum theory, and molecular spectroscopy. Supplementary materials are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected].
Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data. - Numerous examples and problems interspersed throughout the presentations - Each extensive chapter contains a preview, objectives, and summary - Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory - Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics
Physical chemistry uses a lot of math - so much that many students get tangled up in it! Essential Math for Physical Chemistry is a basic review of the math skills most students will need to be successful in physical chemistry. Topics include differentiation, integration, logarithms, averages, coordinate systems, differential equations, operator algebra, and other topics students will face in class and in texts. This is not a math textbook; rather, it's a review of the basic skills that many students need in order to master their upper-level chemistry course.
By the time chemistry students are ready to study physical chemistry, they’ve completed mathematics courses through calculus. But a strong background in mathematics doesn’t necessarily equate to knowledge of how to apply that mathematics to solving physicochemical problems. In addition, in-depth understanding of modern concepts in physical chemistry requires knowledge of mathematical concepts and techniques beyond introductory calculus, such as differential equations, Fourier series, and Fourier transforms. This results in many physical chemistry instructors spending valuable lecture time teaching mathematics rather than chemistry. Barrante presents both basic and advanced mathematical techniques in the context of how they apply to physical chemistry. Many problems at the end of each chapter test students’ mathematical knowledge. Designed and priced to accompany traditional core textbooks in physical chemistry, Applied Mathematics for Physical Chemistry provides students with the tools essential for answering questions in thermodynamics, atomic/molecular structure, spectroscopy, and statistical mechanics.