Mathematics for Physicists and Engineers

Prof. Dr. Klaus Weltner is based at the University of Frankfurt, Germany.Sebastian John teaches at Cambridge University, UK.Dr. Wolfgang J. Webern is based in the University of Frankfurt, Germany.Dr. Peter Schuster teaches at the University of Leeds, UK. Professor Jean Grosjean is based in the School of Engineering at the University of Bath, UK.

• From the 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; Determinanats.- Eigenvalues and Eigenvectors of Real Matrices.- Vector Analysis: Surface Integrals, Divergence, Curl and Potential.- Fourier Series; Harmonic Analysis.- Fourier Integrals and Fourier Transforms.- Probability Calculus.- Probability Distributions.- Theory of Errors.- Answers.

From the book reviews:“In this mathematics textbook, you’ll find possibly all the mathematics you’d need for first years of an undergraduate physics course - algebra, geometry, calculus and statistics. … With the book there is also an online study guide designed to help the student advance quite quickly. … If taken alone, the textbook is as any other mathematics textbook for physicists, together with the study guide it is an excellent combination, especially if you prefer to study alone … .” (Kadri Tinn, AstroMadness.com, February, 2015)