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Mathematical Preparation For Physical Chemistry By F Daniel Pdf

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  • 2018-01-23
  • in Science

Mathematical Physical Chemistry

Practical and Intuitive Methodology

Author: Shu Hotta

Publisher: Springer

ISBN:

Category: Science

Page: 627

View: 796

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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.


  • 2008-07-21
  • in Science
  • Donald A. McQuarrie

Mathematics for Physical Chemistry: Opening Doors

Author: Donald A. McQuarrie

Publisher: University Science Books

ISBN:

Category: Science

Page: 345

View: 132

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This text provides students with concise reviews of mathematical topics that are used throughout physical chemistry. By reading these reviews before the mathematics is applied to physical chemical problems, a student will be able to spend less time worrying about the math and more time learning the physical chemistry.


  • 2013-06-07
  • in Science
  • Robert G. Mortimer

Mathematics for Physical Chemistry

Author: Robert G. Mortimer

Publisher: Academic Press

ISBN:

Category: Science

Page: 272

View: 966

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Mathematics for Physical Chemistry is the ideal supplementary text for practicing chemists and students who want to sharpen their mathematics skills while enrolled in general through physical chemistry courses. This book specifically emphasizes the use of mathematics in the context of physical chemistry, as opposed to being simply a mathematics text. This 4e includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The early chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. A 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 and objectives 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


  • 2016-02-10
  • in Science
  • James R. Barrante

Applied Mathematics for Physical Chemistry

Third Edition

Author: James R. Barrante

Publisher: Waveland Press

ISBN:

Category: Science

Page: 248

View: 118

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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.


  • 1956
  • in Chemistry
  • Farrington Daniels

Mathematical Preparation for Physical Chemistry

Author: Farrington Daniels

Publisher:

ISBN:

Category: Chemistry

Page: 310

View: 634

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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.


  • 2009-09-16
  • in Science
  • Johannes Karl Fink

Physical Chemistry in Depth

Author: Johannes Karl Fink

Publisher: Springer Science & Business Media

ISBN:

Category: Science

Page: 588

View: 136

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"Physical Chemistry in Depth" is not a stand-alone text, but complements the text of any standard textbook on "Physical Chemistry" into depth having in mind to provide profound understanding of some of the topics presented in these textbooks. Standard textbooks in Physical Chemistry start with thermodynamics, deal with kinetics, structure of matter, etc. The "Physical Chemistry in Depth" follows this adjustment, but adds chapters that are treated traditionally in ordinary textbooks inadequately, e.g., general scaling laws, the graphlike structure of matter, and cross connections between the individual disciplines of Physical Chemistry. Admittedly, the text is loaded with some mathematics, which is a prerequisite to thoroughly understand the topics presented here. However, the mathematics needed is explained at a really low level so that no additional mathematical textbook is needed.


  • 2004
  • in Science
  • James R. Barrante

Applied Mathematics for Physical Chemistry

Author: James R. Barrante

Publisher: Prentice Hall

ISBN:

Category: Science

Page: 248

View: 733

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A how to do it review and learn book on advanced mathematics necessary to physical chemistry. Coordinate systems, functions and graphs, logarithms, differential calculus, integral calculus, infinite series, differential equations, scalars and vectors, matrices and determinants, operators, numerical methods and the use of the computer, and mathematical methods in the laboratory. Educators, Technicians, and other professionals using mathematics in physical chemistry.


  • 2020-04-10
  • in Science
  • Shu Hotta

Mathematical Physical Chemistry

Practical and Intuitive Methodology

Author: Shu Hotta

Publisher: Springer Nature

ISBN:

Category: Science

Page: 916

View: 719

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The second edition of this book has been extensively revised so that readers can gain ready access to advanced topics of mathematical physics including the theory of analytic functions and continuous groups. This easy accessibility helps to create a deeper and clearer insight into mathematical physics, with emphasis on quantum mechanics and electromagnetism along with the theory of linear vector spaces and group theory. The basic nature of the book remains unchanged. The contents are targeted at graduate and undergraduate students majoring in chemistry to supply them with the practical and intuitive methodology of mathematical physics. In parallel, advanced mathematical topics are dealt with in the last chapters of each of the four individual parts so that a close connection among those topics is highlighted. Several important revisions are found in this second edition, however, and they include: (a) a description of set theory and topology that helps to comprehend the essence of the theory of analytic functions and continuous groups; (b) a deep connection between angular momenta and continuous groups; (c) development of the theory of exponential functions of matrices, which is useful to solve differential equations; and (d) updated content on lasers and their applications. This new edition thus provides a balanced selection of new and basic material for chemists and physicists.


  • 2011-07-27
  • in Science
  • Don Shillady

Essentials of Physical Chemistry

Author: Don Shillady

Publisher: CRC Press

ISBN:

Category: Science

Page: 510

View: 464

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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.


  • 1956
  • in Chemistry
  • Farrington Daniels

Mathematical Preparation for Elementary Physical Chemistry

Author: Farrington Daniels

Publisher:

ISBN:

Category: Chemistry

Page: 310

View: 893

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  • 2014
  • in Mathematics
  • Frank E. Harris

Mathematics for Physical Science and Engineering

Symbolic Computing Applications in Maple and Mathematica

Author: Frank E. Harris

Publisher: Academic Press

ISBN:

Category: Mathematics

Page: 768

View: 732

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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. It enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. Due to the increasing importance of symbolic computation, the book begins by introducing that topic, before delving into its core mathematical topics. Each of those subjects is described in principle, and then applied through symbolic computing.The aim of the text is designed to clarify and optimize the efficiency of the student's acquisition of mathematical understanding and skill and to provide students with a mathematical toolbox that will rapidly become of routine use in a scientific or engineering career. 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


  • 1993
  • in Chemistry, Physical and theoretical
  • Robert G. Mortimer

Physical Chemistry

Author: Robert G. Mortimer

Publisher: Benjamin-Cummings Publishing Company

ISBN:

Category: Chemistry, Physical and theoretical

Page: 1098

View: 735

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The unifying theme of systems, states and processes helps to integrate the diverse topics of physical chemistry by providing a common point of view for discussing each topic. Mortimer presents fundmental principles logically, with sufficient mathematical details to explain the principles, supplying users, at the same time, with the background information they need to apply the mathematics.


  • 2011-07-22
  • in Science
  • Valerio Magnasco

Models for Bonding in Chemistry

Author: Valerio Magnasco

Publisher: John Wiley & Sons

ISBN:

Category: Science

Page: 232

View: 168

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A readable little book assisting the student in understanding, in a nonmathematical way, the essentials of the different bonds occurring in chemistry. Starting with a short, self-contained,introduction, Chapter 1 presents the essential elements of the variation approach to either total or second-order molecular energies, the system of atomic units (au) necessary to simplify all mathematical expressions, and an introductory description of the electron distribution in molecules. Using mostly 2x2 Hückel secular equations, Chapter 2, by far the largest part of the book because of the many implications of the chemical bond, introduces a model of bonding in homonuclear and heteronuclear diatomics, multiple and delocalized bonds in hydrocarbons, and the stereochemistry of chemical bonds in polyatomic molecules, in a word, a model of the strong first-order interactions originating the chemical bond. In Chapter 3 the Hückel model of the linear polyene chain is used to explain the origin of band structure in the 1-dimensional crystal. Chapter 4 deals with a simple two-state model of weak interactions, introducing the reader to understand second-order electric properties of molecules and VdW bonding between closed shells. Lastly, Chapter 5 studies the structure of H-bonded dimers and the nature of the hydrogen bond, which has a strength intermediate between a VdW bond and a weak chemical bond. Besides a qualitative MO approach based on HOMO-LUMO charge transfer from an electron donor to an electron acceptor molecule, a quantitative electrostatic approach is presented yielding an electrostatic model working even at its simplest pictorial level. A list of alphabetically ordered references, author and subject indices complete the book.


  • 2011-11-14
  • in Science
  • David Z. Goodson

Mathematical Methods for Physical and Analytical Chemistry

Author: David Z. Goodson

Publisher: John Wiley & Sons

ISBN:

Category: Science

Page: 408

View: 437

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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.


  • 2005-12-13
  • in Science
  • Paul M. S. Monk

Physical Chemistry

Understanding our Chemical World

Author: Paul M. S. Monk

Publisher: John Wiley & Sons

ISBN:

Category: Science

Page: 618

View: 174

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Understanding Physical Chemistry is a gentle introduction to the principles and applications of physical chemistry. The book aims to introduce the concepts and theories in a structured manner through a wide range of carefully chosen examples and case studies drawn from everyday life. These real-life examples and applications are presented first, with any necessary chemical and mathematical theory discussed afterwards. This makes the book extremely accessible and directly relevant to the reader. Aimed at undergraduate students taking a first course in physical chemistry, this book offers an accessible applications/examples led approach to enhance understanding and encourage and inspire the reader to learn more about the subject. A comprehensive introduction to physical chemistry starting from first principles. Carefully structured into short, self-contained chapters. Introduces examples and applications first, followed by the necessary chemical theory.


  • 2004-01-01
  • in
  • Issam Jano

Mathematical Methods of Physical Chemistry

Author: Issam Jano

Publisher:

ISBN:

Category:

Page:

View: 995

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  • 2016-11-11
  • in Science
  • Kenneth S Schmitz

Physical Chemistry

Concepts and Theory

Author: Kenneth S Schmitz

Publisher: Elsevier

ISBN:

Category: Science

Page: 872

View: 263

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Physical Chemistry: Concepts and Theory provides a comprehensive overview of physical and theoretical chemistry while focusing on the basic principles that unite the sub-disciplines of the field. With an emphasis on multidisciplinary, as well as interdisciplinary applications, the book extensively reviews fundamental principles and presents recent research to help the reader make logical connections between the theory and application of physical chemistry concepts. Also available from the author: Physical Chemistry: Multidisciplinary Applications (ISBN 9780128005132). Describes how materials behave and chemical reactions occur at the molecular and atomic levels Uses theoretical constructs and mathematical computations to explain chemical properties and describe behavior of molecular and condensed matter Demonstrates the connection between math and chemistry and how to use math as a powerful tool to predict the properties of chemicals Emphasizes the intersection of chemistry, math, and physics and the resulting applications across many disciplines of science


  • 2011-09-20
  • in Mathematics
  • Matt A. Bernstein

Thinking About Equations

A Practical Guide for Developing Mathematical Intuition in the Physical Sciences and Engineering

Author: Matt A. Bernstein

Publisher: John Wiley & Sons

ISBN:

Category: Mathematics

Page: 272

View: 472

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An accessible guide to developing intuition and skills forsolving mathematical problems in the physical sciences andengineering Equations play a central role in problem solving across variousfields of study. Understanding what an equation means is anessential step toward forming an effective strategy to solve it,and it also lays the foundation for a more successful andfulfilling work experience. Thinking About Equationsprovides an accessible guide to developing an intuitiveunderstanding of mathematical methods and, at the same time,presents a number of practical mathematical tools for successfullysolving problems that arise in engineering and the physicalsciences. Equations form the basis for nearly all numerical solutions, andthe authors illustrate how a firm understanding of problem solvingcan lead to improved strategies for computational approaches. Eightsuccinct chapters provide thorough topical coverage, including: Approximation and estimation Isolating important variables Generalization and special cases Dimensional analysis and scaling Pictorial methods and graphical solutions Symmetry to simplify equations Each chapter contains a general discussion that is integratedwith worked-out problems from various fields of study, includingphysics, engineering, applied mathematics, and physical chemistry.These examples illustrate the mathematical concepts and techniquesthat are frequently encountered when solving problems. Toaccelerate learning, the worked example problems are grouped by theequation-related concepts that they illustrate as opposed tosubfields within science and mathematics, as in conventionaltreatments. In addition, each problem is accompanied by acomprehensive solution, explanation, and commentary, and numerousexercises at the end of each chapter provide an opportunity to testcomprehension. Requiring only a working knowledge of basic calculus andintroductory physics, Thinking About Equations is anexcellent supplement for courses in engineering and the physicalsciences at the upper-undergraduate and graduate levels. It is alsoa valuable reference for researchers, practitioners, and educatorsin all branches of engineering, physics, chemistry, biophysics, andother related fields who encounter mathematical problems in theirday-to-day work.


  • 2020-09-07
  • in Science
  • Prerna Bansal

Maths in Chemistry

Numerical Methods for Physical and Analytical Chemistry

Author: Prerna Bansal

Publisher: de Gruyter

ISBN:

Category: Science

Page: 196

View: 149

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This book aims to make students thoroughly aware of various important mathematical concepts and numerical methods frequently used in physical chemistry and analytical chemistry. The numerical methods discussed are used in physical chemistry problems, including finding roots of equation, numerical integration, differentiation, differential equations and numerical curve fitting methods.


  • 2018-09
  • in Science
  • Seymour Michael Blinder

Mathematical Physics in Theoretical Chemistry

Author: Seymour Michael Blinder

Publisher: Developments in Physical & The

ISBN:

Category: Science

Page: 400

View: 226

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Mathematical Physics in Theoretical Chemistry deals with important topics in theoretical and computational chemistry. Topics covered include density functional theory, computational methods in biological chemistry, and Hartree-Fock methods. As the second volume in the Developments in Physical & Theoretical Chemistry series, this volume further highlights the major advances and developments in research, also serving as a basis for advanced study. With a multidisciplinary and encompassing structure guided by a highly experienced editor, the series is designed to enable researchers in both academia and industry stay abreast of developments in physical and theoretical chemistry. Brings together the most important aspects and recent advances in theoretical and computational chemistry Covers computational methods for small molecules, density-functional methods, and computational chemistry on personal and quantum computers Presents cutting-edge developments in theoretical and computational chemistry that are applicable to graduate students and research professionals in chemistry, physics, materials science and biochemistry


Mathematical Preparation For Physical Chemistry By F Daniel Pdf

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