UID:
almahu_9947367292102882
Format:
1 online resource (423 p.)
Edition:
1st ed.
ISBN:
1-281-31154-5
,
9786611311544
,
0-08-051127-9
Content:
Chemistry and physics share a common mathematical foundation. From elementary calculus to vector analysis and group theory, Mathematics for Chemistry and Physics aims to provide a comprehensive reference for students and researchers pursuing these scientific fields. The book is based on the authors many classroom experience. Designed as a reference text, Mathematics for Chemistry and Physics will prove beneficial for students at all university levels in chemistry, physics, applied mathematics, and theoretical biology. Although this book is not computer-based, many refere
Note:
Description based upon print version of record.
,
Front Cover; Mathematics for Chemistry and Physics; Copyright Page; Contents; Preface; Chapter 1. Variables and Functions; 1.1 Introduction; 1.2 Functions; 1.3 Classification and properties of functions; 1.4 Exponential and logarithmic functions; 1.5 Applications of exponential and logarithmic functions; 1.6 Complex numbers; 1.7 Circular trigonometric functions; 1.8 Hyperbolic functions; Problems; Chapter 2. Limits, Derivatives and Series; 2.1 Definition of a limit; 2.2 Continuity; 2.3 The derivative; 2.4 Higher derivatives; 2.5 Implicit and parametric relations
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2.6 The extrema of a function and its critical points2.7 The differential; 2.8 The mean-value theorem and L'Hospital's rule; 2.9 Taylor's series; 2.10 Binomial expansion; 2.11 Tests of series convergence; 2.12 Functions of several variables; 2.13 Exact differentials; Problems; Chapter 3. Integration; 3.1 The indefinite integral; 3.2 Integration formulas; 3.3 Methods of integration; 3.4 Definite integrals; 3.5 Integrating factors; 3.6 Tables of integrals; Problems; Chapter 4. Vector Analysis; 4.1 Introduction; 4.2 Vector addition; 4.3 Scalar product; 4.4 Vector product; 4.5 Triple products
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4.6 Reciprocal bases4.7 Differentiation of vectors; 4.8 Scalar and vector fields; 4.9 The gradient; 4.10 The divergence; 4.11 The curl or rotation; 4.12 The Laplacian; 4.13 Maxwell's equations; 4.14 Line integrals; 4.15 Curvilinear coordinates; Problems; Chapter 5. Ordinary Differential Equations; 5.1 First-order differential equations; 5.2 Second-order differential equations; 5.3 The differential operator; 5.4 Applications in quantum mechanics; 5.5 Special functions; Problems; Chapter 6. Partial Differential Equations; 6.1 The vibrating string; 6.2 The three-dimensional harmonic oscillator
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6.3 The two-body problem6.4 Central forces; 6.5 The diatomic molecule; 6.6 The hydrogen atom; 6.7 Binary collisions; Problems; Chapter 7. Operators and Matrices; 7.1 The algebra of operators; 7.2 Hermitian operators and their eigenvalues; 7.3 Matrices; 7.4 The determinant; 7.5 Properties of determinants; 7.6 Jacobians; 7.7 Vectors and matrices; 7.8 Linear equations; 7.9 Partitioning of matrices; 7.10 Matrix formulation of the eigenvalue problem; 7.11 Coupled oscillators; 7.12 Geometric operations; 7.13 The matrix method in quantum mechanics; 7.14 The harmonic oscillator; Problems
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Chapter 8. Group Theory8.1 Definition of a group; 8.2 Examples; 8.3 Permutations; 8.4 Conjugate elements and classes; 8.5 Molecular symmetry; 8.6 The character; 8.7 Irreducible representations; 8.8 Character tables; 8.9 Reduction of a representation: The "magic formula"; 8.10 The direct product representation; 8.11 Symmetry-adapted functions: Projection operators; 8.12 Hybridization of atomic orbitals; 8.13 Crystal symmetry; Problems; Chapter 9. Molecular Mechanics; 9.1 Kinetic energy; 9.2 Molecular rotation; 9.3 Vibrational energy; 9.4 Nonrigid molecules; Problems
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Chapter 10. Probability and Statistics
,
English
Additional Edition:
ISBN 0-12-705051-5
Language:
English
