Mathematics for Physicists and Engineers : Fundamentals and Interactive Study Guide / Klaus Weltner [and four others].

Format:

Book

Author/Creator:

Weltner, Klaus, 1927- author.

Language:

English

Subjects (All):

Mathematical physics.

Engineering mathematics.

Physical Description:

1 online resource (XX, 656 p. 592 illus., 4 illus. in color.)

Edition:

Third edition.

Place of Publication:

Berlin, Germany : Springer-Verlag GmbH, [2023]

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.

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. .

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

3-662-66068-7