Book:K. Weltner/Mathematics for Engineers and Scientists

Contents

 * Preface
 * 1. Functions
 * 2. Exponential, Logarithmic and Hyperbolic Functions
 * 3. Vector Algebra I: Scalars and Vectors
 * 4. Vector Algebra II: Scalar and Vector Products
 * 5. Differential Calculus
 * 6. Integral Calculus
 * 7. Applications of Integration
 * 8. Taylor Series and Power Series
 * 9. Complex Numbers
 * 10. Differential Equations
 * 11. Laplace Transforms
 * 12. Functions of Several Variables; Partial Differentiation; and Total Differentiation
 * 13. Multiple Integrals; Coordinate Systems
 * 14. Transformation of Coordinates; Matrices
 * 15. Sets of Linear Equations; Determinants
 * 16: Eigenvalues and Eigenvectors of Real Matrices
 * 17: Numerical Methods
 * 18: Fourier Series; Harmonic Analysis
 * 19: Probability Calculus
 * 20: Probability Distributions
 * 21: Theory of Errors
 * Answers
 * Index



Source work progress
* : $1$. Functions: $1.1$ The Mathematical Concept of Functions: $1.1.1$ Introduction

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 * : $1$. Functions: $1.5$ Trigonometric or Circular Functions: $1.5.2$ Sine Function

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 * : $5$. Differential Calculus: Appendix: Derivatives of fundamental functions: $7.$ Inverse hyperbolic trigonometric functions

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 * : $6$. Integral Calculus: Exercises: $6.1$ The Primitive Function: $1. \ \text {(a)}$

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 * : $8$. Taylor Series and Power Series: Exercises: $8.2$ Expansion of a Function in a Power Series: $1. \ \text {(a)}$