Author: Robert G. Mortimer
Release Date: 2005-06-10
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
Author: Donald Allan McQuarrie
Publisher: University Science Books
Release Date: 2008
Provides students with concise reviews of mathematical topics used in physical chemistry. By reading these reviews before the mathematics is applied to physical chemical problems, a student will spend less time worrying about the math and more time learning the physical chemistry.
Author: James R. Barrante
Publisher: Waveland Press
Release Date: 2016-02-10
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.
Author: Frank E. Harris
Publisher: Academic Press
Release Date: 2014-05-24
Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration. This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science. Clarifies each important concept to students through the use of a simple example and often an illustration Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple) Shows how symbolic computing enables solving a broad range of practical problems
Dieser Band Numerische Mathematik hat Prinzipien des numerischen Rechnens, numerische lineare Algebra und Näherungsmethoden in der Analysis zum Inhalt. Der Begriff der Approximation zieht sich als roter Faden durch den gesamten Text. Die Betonung liegt dabei weniger auf der Bereitstellung möglichst vieler Algorithmen als vielmehr auf der Vermittlung mathematischer Überlegungen, die zur Konstruktion von Verfahren führen. Jedoch werden auch der algorithmische Aspekt und entsprechende Effizienzbetrachtungen gebührend berücksichtigt. Durch den umfangreichen dargebotenen Stoff ist das Buch nicht nur für eine einsemestrige Vorlesung interessant, sondern auch als studienbegleitendes Handbuch geeignet. Besondere Erwähnung verdienen die zahlreichen historischen Anmerkungen sowie die motivierenden Erklärungen und aufgezeigten Querverbindungen zu anderen Themen. Besonders zur intensiven Prüfungsvorbereitung geeignet!
This book introduces basic concepts of mathematical physics to chemists. Many textbooks and monographs of mathematical physics may appear daunting to them. Unlike other, related books, however, this one contains a practical selection of material, particularly for graduate and undergraduate students majoring in chemistry. The book first describes quantum mechanics and electromagnetism, with the relation between the two being emphasized. Although quantum mechanics covers a broad field in modern physics, the author focuses on a hydrogen(like) atom and a harmonic oscillator with regard to the operator method. This approach helps chemists understand the basic concepts of quantum mechanics aided by their intuitive understanding without abstract argument, as chemists tend to think of natural phenomena and other factors intuitively rather than only logically. The study of light propagation, reflection, and transmission in dielectric media is of fundamental importance. This book explains these processes on the basis of Maxwell equations. The latter half of the volume deals with mathematical physics in terms of vectors and their transformation in a vector space. Finally, as an example of chemical applications, quantum chemical treatment of methane is introduced, including a basic but essential explanation of Green functions and group theory. Methodology developed by the author will also prove to be useful to physicists.
Author: David Z. Goodson
Publisher: John Wiley & Sons
Release Date: 2011-11-14
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.
Dieses Lehrbuch wendet sich an Studenten der Physik, der Physikalischen Chemie und der Theoretischen Chemie. Aufbauend auf Grundkenntnissen der Atom- und Quantenphysik vemitteln die Autoren den Stoff, der zum Grundwissen eines jeden Physikstudenten gehört. Für den Studenten der Chemie bedeuten die in diesem Buch vorgestellten Konzepte das theoretische Grundgerüst für sein Fachgebiet. Dieses Gerüst befähigt ihn, den ungeheuren Erfahrungsschatz der Chemie auf wenige Prinzipien, nämlich die der Quantentheorie, zurückzuführen. Zwei untrennbar miteinander verknüpfte Themenbereiche werden behandelt: die chemische Bindung und die physikalischen Eigenschaften der Moleküle. Erstmals behandelt ein Lehrbuch die Molekülphysik und Quantenchemie in dieser Kombination mit der Zielsetzung, das Grundlegende und Typische herauszuarbeiten, und so dem Studenten einen Überblick über dieses so wichtige und reizvolle Gebiet zu vermitteln. Darüber hinaus vermittelt das Buch Ausblicke auf neue Entwicklungen, etwa die Erforschung der Photosynthese, die Physik supramolekularer Funktionseinheiten und die molekulare Mikroelektronik.
Author: Peter Atkins
Publisher: Oxford University Press, USA
Release Date: 2010
This volume features a greater emphasis on the molecular view of physical chemistry and a move away from classical thermodynamics. It offers greater explanation and support in mathematics which remains an intrinsic part of physical chemistry.
Author: Robert G. Mortimer
Publisher: Academic Press
Release Date: 2008-05-29
In this third edition, core applications have been added along with more recent developments in the theories of chemical reaction kinetics and molecular quantum mechanics, as well as in the experimental study of extremely rapid chemical reactions. * Fully revised concise edition covering recent developments in the field * Supports student learning with step by step explanation of fundamental principles, an appropriate level of math rigor, and pedagogical tools to aid comprehension * Encourages readers to apply theory in practical situations
Chemical Calculations provides an introduction to the mathematics required for physical chemistry courses. This book is unique in that it provides a gentle introduction with a chemistry centered - rather than math centered - approach. Written by a chemist for undergraduate students, it imparts an understanding of the subject from a chemist's viewpoint using examples from real chemistry. It includes illustrations that show exactly how to use calculators to work problems and examples of important chemical problems with fully worked solutions. This book is an ideal companion throughout a chemistry course that can be consulted when required, and used to keep one step ahead of the lecture.
At a time when U.S. high school students are producing low scores in mathematics and science on international examinations, a thorough grounding in physical chemistry should not be considered optional for science undergraduates. Based on the author’s thirty years of teaching, Essentials of Physical Chemistry merges coverage of calculus with chemistry and molecular physics in a friendly yet thorough manner. Reflecting the latest ACS guidelines, the book can be used as a one or two semester course, and includes special topics suitable for senior projects. The book begins with a math and physics review to ensure all students start on the same level, and then discusses the basics of thermodynamics and kinetics with mathematics tuned to a level that stretches students’ abilities. It then provides material for an optional second semester course that shows students how to apply their enhanced mathematical skills in a brief historical development of the quantum mechanics of molecules. Emphasizing spectroscopy, the text is built on a foundation of quantum chemistry and more mathematical detail and examples. It contains sample classroom-tested exams to gauge how well students know how to use relevant formulas and to display successful understanding of key concepts. Coupling the development of mathematical skills with chemistry concepts encourages students to learn mathematical derivations Mini-biographies of famous scientists make the presentation more interesting from a "people" point of view Stating the basic concepts of quantum chemistry in terms of analogies provides a pedagogically useful technique Covering key topics such as the critical point of a van der Waals gas, the Michaelis–Menten equation, and the entropy of mixing, this classroom-tested text highlights applications across the range of chemistry, forensic science, pre-medical science and chemical engineering. In a presentation of fundamental topics held together by clearly established mathematical models, the book supplies a quantitative discussion of the merged science of physical chemistry.