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Macmillan Higher Education Palgrave Higher Education

Mathematics for Physicists and Engineers

Fundamentals and Interactive Study Guide

Edition 2nd Edition
ISBN 9783642541230
Publication Date July 2014
Formats Hardcover Paperback Ebook 
Publisher Springer

This textbook offers an accessible approach to the subject of mathematics which divides the topic into smaller units, guiding students through questions, exercises and problems designed to slowly increase student confidence and experience. The sequence of studies is individualised according to performance and can be regarded as full tutorial course. 

The study guide satisfies two objectives simultaneously: firstly it enables students to make effective use of the textbook and secondly it offers advice on the improvement of study skills. Empirical studies have shown that the student's competence for using written information has improved significantly by using this study guide.

The new edition includes a new chapter on Fourier integrals and Fourier transforms, numerous sections had been updated, 30 new problems with solutions had been added. The interactive study guide has seen a substantial update.

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.

Preface
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
Fourier Transforms and Fourier Integrals
Solutions
Index.

Reviews

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)
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