Mathematics for Physics and Engineering – Klaus Weltner, Wolfgang J. Weber, Jean Grosjean – 1st Edition

Description

This offers an accessible and highly approved approach that is characterized by combining the textbook with a study guide available in our extras.springer.com repository. This study guide divides the entire learning task into small units that the student is most likely to master successfully. Therefore, read what you study and study limited textbook information and return to the study guide later.

Working with the study guide, the learning outcomes are controlled, monitored and deepened by qualified , exercises, repetitions and finally problems and applications of the content studied. As the degree of difficulty is slowly increasing, students gain confidence and experience their own progress in mathematical competence, thus encouraging motivation. In addition, in the case of learning difficulties, additional explanations are given and in the case of individual needs, complementary exercises and applications. So the sequence of studies is individualized according to individual performance and needs and can be considered as complete tutorial .

The study guide satisfies the objectives simultaneously: first, it allows students to make effective use of the textbook and, secondly, offers advice on improving study skills. Empirical studies have shown that the student’s competence to use information has been improved by using this study guide.

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

Table of Contents



•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
•Fourier Integrals and Fourier Transforms
•Probability Calculus
•Probability Distributions
•Theory of Errors
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