MARC details
000 -LEADER |
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05435nam a22002777a 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20220614092855.0 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780124158092 |
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050 ## - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QD455.3.M3 |
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MOR |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Robert G Mortimer |
Relator term |
Author |
245 ## - TITLE STATEMENT |
Title |
Mathematics for physical chemistry/ |
Statement of responsibility, etc. |
Robert G Mortimer |
250 ## - EDITION STATEMENT |
Edition statement |
Fourth Edition |
264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Amsterdam : |
Name of producer, publisher, distributor, manufacturer |
Elsevier, |
Date of production, publication, distribution, manufacture, or copyright notice |
2013. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xi, 247 pages: |
Other physical details |
illustrations |
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text |
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txt |
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unmediated |
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volume |
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500 ## - GENERAL NOTE |
General note |
Includes index |
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1 Problem Solving and Numerical Mathematics; 1.1 Problem Solving; 1.2 Numbers and Measurements; 1.3 Numerical Mathematical Operations; 1.3.1 Binary Arithmetic Operations; 1.3.2 Additional Numerical Operations; 1.4 Units of Measurement; 1.5 The Factor-Label Method; 1.6 Measurements, Accuracy, and Significant Digits; 1.6.1 Scientific Notation; 1.6.2 Rounding; 1.6.3 Significant Digits in a Calculated Quantity; 2 Mathematical Functions; 2.1 Mathematical Functions in Physical Chemistry; 2.1.1 Functions in Thermodynamics. 2.1.2 Functions in Quantum Mechanics2.1.3 Function Notation; 2.1.4 Continuity; 2.1.5 Graphs of Functions; 2.2 Important Families of Functions; 2.2.1 Linear Functions; 2.2.2 Quadratic Functions; 2.2.3 Cubic Functions; 2.2.4 Logarithms; 2.2.5 Exponentials; 2.2.6 Trigonometric Functions; 2.2.7 Inverse Trigonometric Functions; 2.2.8 Hyperbolic Trigonometric Functions; 2.2.9 Significant Digits in Logarithms, Exponentials, and Trigonometric Functions; 2.3 Generating Approximate Graphs; 3 Problem Solving and Symbolic Mathematics: Algebra; 3.1 The Algebra of Real Scalar Variables. 3.2 Coordinate Systems in Two Dimensions3.3 Coordinate Systems in Three Dimensions; 3.3.1 Cartesian Coordinates; 3.3.2 Spherical Polar Coordinates; 3.3.3 Cylindrical Polar Coordinates; 3.4 Imaginary and Complex Numbers; 3.4.1 Mathematical Operations with Complex Numbers; 3.4.2 The Argand Diagram; 3.4.3 The Complex Conjugate; 3.4.4 The Magnitude of a Complex Quantity; 3.4.5 Roots of a Complex Number; 3.5 Problem Solving and Symbolic Mathematics; 4 Vectors and Vector Algebra; 4.1 Vectors in Two Dimensions; 4.1.1 The Sum and Difference of Two Vectors; 4.1.2 The Product of a Vector and a Scalar. 4.1.3 Unit Vectors4.1.4 The Scalar Product of Two Vectors; 4.1.5 The Magnitude of a Vector; 4.2 Vectors in Three Dimensions; 4.2.1 Unit Vectors in Three Dimensions; 4.2.2 The Magnitude of a Vector; 4.2.3 The Sum and Difference of Two Vectors; 4.2.4 The Product of a Scalar and a Vector; 4.2.5 The Scalar Product of Two Vectors; 4.2.6 The Vector Product of Two Vectors; 4.3 Physical Examples of Vector Products; 4.3.1 Magnetic Force; 4.3.2 Electrostatic Force; 4.3.3 Angular Momentum; 5 Problem Solving and the Solution of Algebraic Equations. 5.1 Algebraic Methods for Solving One Equation with One Unknown5.1.1 Polynomial Equations; 5.1.2 Approximate Solutions to Equations; 5.2 Numerical Solution of Algebraic Equations; 5.2.1 Graphical Solution of Algebraic Equations; 5.2.2 Trial and Error; 5.2.3 The Method of Bisection; 5.2.4 Solving Equations Numerically with Excel; 5.3 A Brief Introduction to Mathematica; 5.3.1 Numerical Calculations with Mathematica; 5.3.2 Symbolic Algebra with Mathematica; 5.3.3 Solving Equations with Mathematica; 5.3.4 Graphing with Mathematica; 5.4 Simultaneous Equations: Two Equations with Two Unknowns; 5.4.1 The Method of Substitution. |
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Principal Facts and Ideas. Problem solving is the principal tool for learning physical chemistry. Problem solving can be approached in a systematic way. Many problems involve numerical calculations involving measurable quantities. A measured quantity consists of a number and a unit of measurement. The SI units have been officially adopted by international organizations of physicists and chemists. Consistent units must be used in any calculation. The factor-label method can be used to convert from one unit of measurement to another. Reported values of all quantities should be rounded so that insignifi- cant digits are not reported. Objectives After you have studied the chapter, you should be able to: analyze a problem and design a procedure for solving the problem; 4 1. Problem Solving and Numerical Mathematics carry out the numerical procedures use in solving a simple problem; use numbers and units correctly to express measured quantities; understand the relationship of uncertainties in measurements to the use of significant digits; use consistent units, especially the SI units, in equations and formulas; use the factor-label method to convert from one unit of measurement to another. 1.1 Problem Solving Techniques of problem solving are applicable to many intellectual areas. There is a useful little book on problem solving by G. Polya, 1 and much of our discussion of problem solving is based on this book. Most physical chemistry problems are stated verbally, like the so-called 'word problems' of elementary school. The information contained in the statement of the problem generally includes a statement of the physical system involved, some information about the state of the system, and a statement of the desired outcome |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Chemistry, Physical and theoretical -- Mathematics. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
MATHEMATICS -- Pre-Calculus. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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MATHEMATICS -- Reference. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
MATHEMATICS -- Essays. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Library of Congress Classification |
Koha item type |
Books |