Title Mathematics for physicists and engineers : fundamentals and interactive study guide / Klaus Weltner, S.T. John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean

Edition Third edition Published Berlin : Springer, 2023

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Description 1 online resource (1 volume) Contents Introduction -- 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. Summary This textbook takes physics and engineering undergraduates through the mathematics they need in the first years of study. It offers an accessible approach which is characterized by the combination of the textbook with a detailed study guide. This study guide, supplied as freely accessible downloads for each chapter, divides the whole learning task into small units. You will read and study a limited section of the textbook and then return to the study guide afterwards. Learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. The degree of difficulty slowly rises, which will let you gain confidence and experience your own progress, thus fostering motivation. The sequence of studies can be individualized according to performance and can be regarded as a full tutorial course. This combination of a textbook with a detailed study guide is a powerful means to meet the rising importance of learning outside of lectures at home and will be of great benefit, especially to students learning remotely Notes Includes index Print version record Subject Mathematical physics -- Examinations -- Study guides Engineering mathematics -- Examinations -- Study guides Genre/Form Electronic books Form Electronic book Author John, S. T., author Weber, Wolfgang J., author Schuster, Peter, author Grosjean, Jean, author ISBN 9783662660683 3662660687

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