Mathematics for Physicists and Engineers Fundamentals and Interactive Study Guide /

• Main Authors: Weltner, Klaus. (Author), Weber, Wolfgang J. (Author), Grosjean, Jean. (Author), Schuster, Peter. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Subjects: Physics.; Mathematical physics.; Engineering mathematics.; Mathematical Methods in Physics.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical, Mathematical and Computational Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-00173-4

Mathematics is the basic language in physics and engineering. It is an essential tool which first and second year students have to master as soon as possible. A lack of competence in mathematics is the main reason for failure and drop out in the beginning periods of study. This textbook offers an ac...

Table of Contents:

• Vector Algebra I: Scalars and Vectors
• Vector Algebra II: Scalar and Vector Products
• Functions
• Exponential, Logarithmic and Hyperbolic Functions
• Differential Calculus
• Integral Calculus
• Applications of Integration
• Taylor Series and Power Series
• Complex Numbers
• Differential Equations
• Laplace Transforms
• Functions of Several Variables; Partial Differentiation; and Total Differentiation
• Multiple Integrals; Coordinate Systems
• Transformation of Coordinates; Matrices
• Sets of Linear Equations; Determinants
• Eigenvalues and Eigenvectors of Real Matrices
• Vector Analysis: Surface Integrals, Divergence, Curl and Potential
• Fourier Series; Harmonic Analysis
• Probability Calculus
• Probability Distributions
• Theory of Errors
• Answers.