Mathematics for Physicists and Engineers Fundamentals and Interactive Study Guide /
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...
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| Hlavní autoři: | , , , , |
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| Korporativní autor: | |
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2023.
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| Vydání: | 3rd ed. 2023. |
| Témata: | |
| On-line přístup: | https://doi.org/10.1007/978-3-662-66068-3 |
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Obsah:
- 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. .