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 references to current applications are included, providing the background to what goes on "behind the screen" in computer experiments.
Undergraduate and graduate students in chemistry, chemical physics, materials science, and physics. Researchers in chemistry/physics and theoretical biologists
Preface 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 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 2.6 The Extrema of a Function and Its Critical Points 2.7 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 3 Integration 3.1 The Indefinite Integral 3.2 Integration Formulas 3.3 Methods of Integration 3.3.1 Integration by Substitution 3.3.2 Integration by Parts 3.3.3 Integration of Partial Fractions 3.4 Definite Integrals 3.4.1 Definition 3.4.2 Plane Area 3.4.3 Line Integrals 3.4.4 Fido and his Master 3.4.5 The Gaussian and Its Moments 3.5 Integrating Factors 3.6 Tables of Integrals Problems 4 Vector Analysis 4.1 Introduction 4.2 Vector Addition 4.3 Scalar Product 4.4 Vector Product 4.5 Triple Products 4.6 Reciprocal Bases 4.7 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 5 Ordinary Differential Equations 5.1 First-Order Differential Equations 5.2 Second-Order Differential Equations 5.2.1 Series Solu
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- © Academic Press 2002
- 4th December 2001
- Academic Press
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University of Sciences and Technology of Lille, France
"Chemistry and physics studies are very appealing to many students until they realize that they should have the necessary math skills to the understanding of chemistry and physics. I think that the book of Professor G. Turrell entitled "Mathematics for Physics and Chemistry " provides students with the mathematical bases that will help them to conduct their studies in an optimal conditions. The various chapters of the book introduces in pedagogical way important mathematical tools such as matrix, derivative, integral, differential equations with an illustration of the close interdependence between chemistry, physics and mathematics. I use this book for my own courses and I recommend this book for students." --Professor Nacer Idrissi (Lille, France)