Author: Robert G. Mortimer
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
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
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.
Symbolic Computing Applications in Maple and Mathematica
Author: Frank E. Harris
Publisher: Academic Press
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
Author: Günther Hämmerlin,Karl-Heinz Hoffmann
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!
Author: David Z. Goodson
Publisher: John Wiley & Sons
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.
Mathematics for Chemistry, Second Edition
Author: Paul Yates
Publisher: CRC Press
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.
A Chemist's Toolkit of Calculations
Author: Paul Monk,Lindsey J. Munro
Publisher: Oxford University Press
Maths for Chemistry recognizes the challenges faced by many students in equipping themselves with the maths skills needed to gain a full understanding of chemistry, offering a carefully-structured and steadily-paced introduction to the essential mathematical concepts all chemistry students should master.
Author: Jay Martin Anderson
Publisher: Courier Corporation
Introduction to problems of molecular structure and motion covers calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics. Answers to problems. 1966 edition.
Author: Martin Cockett,Graham Doggett
Publisher: Royal Society of Chemistry
This is a new edition of the combined Volumes I and II of the hugely successful Tutorial Chemistry Texts Maths for Chemists. The new edition will continue to provide an excellent resource for all undergraduate chemistry students particularly focussing on the needs of students who may not have studied mathematics beyond GCSE level (or equivalent). The text is introductory in nature and adopts a sympathetic approach for students who need support and understanding in working with the diverse mathematical tools required in a typical chemistry degree course. The topics covered include: power series, which are used to formulate alternative representations of functions and are important in model building in chemistry; complex numbers and complex functions, which appear in quantum chemistry, spectroscopy and crystallography; matrices and determinants used in the solution of sets of simultaneous linear equations and in the representation of geometrical transformations used to describe molecular symmetry characteristics; and vectors which allow the description of directional properties of molecules. New material includes a new chapter on Statistics and Error Analysis. Ideal for the needs of undergraduate chemistry students, Maths for Chemists is a comprehensive text consisting of short, single topic or modular texts concentrating on the fundamental areas of chemistry taught in undergraduate science courses. It provides a concise account of the basic principles underlying a given subject, embodying an independent-learning philosophy and including worked examples.
Author: Carole H. McQuarrie
Publisher: Univ Science Books
A solutions manual that provides the answers to every third problem in Donald McQuarrie's original text Mathematical Methods for Scientists and Engineers.
Author: Heinz Schade,Klaus Neemann
Publisher: Walter de Gruyter
Dieses Lehrbuch stellt eine umfassende und leicht verständliche Einführung in die Tensoranalysis dar, die hier als Oberbegriff von klassischer Tensoranalysis und Tensoralgebra zu verstehen ist und die in vielen Anwendungen der Physik und der Ingenieurwissenschaften benötigt wird. Es vermittelt die nötigen algebraischen Hilfsmittel und enthält zahlreiche Übungsaufgaben mit Lösungen, so dass es sich auch für ein Selbststudium eignet.
Author: Frank R. Foulkes
Publisher: CRC Press
Physical Chemistry for Engineering and Applied Sciences is the product of over 30 years of teaching first-year Physical Chemistry as part of the Faculty of Applied Science and Engineering at the University of Toronto. Designed to be as rigorous as compatible with a first-year student’s ability to understand, the text presents detailed step-by-step derivations of the equations that permit the student to follow the underlying logic and, of equal importance, to appreciate any simplifying assumptions made or mathematical tricks employed. In addition to the 600 exercises and end-of-chapter problems, the text is rich in worked non-trivial examples, many of which are designed to be inspiring and thought-provoking. Step-by-step derivation of all equations enables the student to smoothly follow the derivation by sight, and can be understood relatively easily by students with moderate skills and backgrounds in mathematics. Clear and accessible, Physical Chemistry for Engineering and Applied Sciences includes: The answers to all of the 112 worked examples, 99 exercises following many of the worked examples, and 496 end-of-chapter problems Topics not normally seen in introductory physical chemistry textbooks (ionic reaction rates, activities and activity coefficients) or not regularly explained in much detail (electrochemistry, chemical kinetics), with an eye on industrial applications Special appendices that provide detailed explanations of basic integration and natural logarithms for students lacking a background in integral calculus An in-depth chapter on electrochemistry, in which activities and activity coefficients are used extensively, as required for accurate calculations
Author: Peter Atkins,Julio de Paula
Publisher: Oxford University Press, USA
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
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
Practical and Intuitive Methodology
Author: Shu Hotta
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.
Einführung in die experimentellen und theoretischen Grundlagen
Author: Hermann Haken,Hans C. Wolf
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.