Mathematical Methods in the Physical Sciences

Informationen zum Autor Mary L. Boas is currently professor emeritus in the physics department at DePaul University. Klappentext This book is intended for students who have had a two-semester or three-semester introductory calculus course. Its purpose is to help students develop, in a short time, a basic competence in each of the many areas of mathematics needed in advanced courses in physics, chemistry, and engineering. Students are given sufficient depth to gain a solid foundation (this is not a recipe book). At the same time, they are not overwhelmed with detailed proofs that are more appropriate for students of mathematics. The emphasis is on mathematical methods rather than applications, but students are given some idea of how the methods will be used along with some simple applications. Zusammenfassung This book is intended for students who have had a two-semester or three-semester introductory calculus course. Its purpose is to help students develop, in a short time, a basic competence in each of the many areas of mathematics needed in advanced courses in physics, chemistry, and engineering. Students are given sufficient depth to gain a solid foundation (this is not a recipe book). At the same time, they are not overwhelmed with detailed proofs that are more appropriate for students of mathematics. The emphasis is on mathematical methods rather than applications, but students are given some idea of how the methods will be used along with some simple applications. Inhaltsverzeichnis Chapter 1 Infinite Series, Power SeriesChapter 2 Complex NumbersChapter 3 Linear AlgebraChapter 4 Partial DifferentiationChapter 5 Multiple IntegralsChapter 6 Vector AnalysisChapter 7 Fourier Series and TransformsChapter 8 Ordinary Differential EquationsChapter 9 Calculus of VariationsChapter 10 Tensor AnalysisChapter 11 Special FunctionsChapter 12 Legendre, Bessel, Hermite, and Laguerre functionsChapter 13 Partial Differential EquationsChapter 14 Functions of a Complex VariableChapter 15 Probability and Statistics...

Auteur

Mary L. Boas is currently professor emeritus in the physics department at DePaul University.

Texte du rabat

This book is intended for students who have had a two-semester or three-semester introductory calculus course. Its purpose is to help students develop, in a short time, a basic competence in each of the many areas of mathematics needed in advanced courses in physics, chemistry, and engineering. Students are given sufficient depth to gain a solid foundation (this is not a recipe book). At the same time, they are not overwhelmed with detailed proofs that are more appropriate for students of mathematics. The emphasis is on mathematical methods rather than applications, but students are given some idea of how the methods will be used along with some simple applications.

Contenu

Chapter 1 Infinite Series, Power Series
Chapter 2 Complex Numbers
Chapter 3 Linear Algebra
Chapter 4 Partial Differentiation
Chapter 5 Multiple Integrals
Chapter 6 Vector Analysis
Chapter 7 Fourier Series and Transforms
Chapter 8 Ordinary Differential Equations
Chapter 9 Calculus of Variations
Chapter 10 Tensor Analysis
Chapter 11 Special Functions
Chapter 12 Legendre, Bessel, Hermite, and Laguerre functions
Chapter 13 Partial Differential Equations
Chapter 14 Functions of a Complex Variable
Chapter 15 Probability and Statistics