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Mathematics for physical chemistry /
"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 measurem...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Amsterdam Press, Elsevier,
2013.
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| Edición: | Fourth edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.