The tool that unlocks the cosmos...

### Numbers and Geometry

### Algebra and Functions

### Vectors and Trigonometry

### Logarithms and Exponents

### Probability and Statistics

### Differential and Integral Calculus

- Indefinite integration
- Limits and convergence
- Differentiation rules
- Definite integrals
- Maxima and minima
- Geometric integration
- Chain, product and quotient rules
- Trigonometric integration
- Derivatives of trigs, exponents and logs
- Substitution and parts
- Applications of differential calculus
- Applications of integration

### Complex Numbers and Series

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Mathematics is the most important tool of science. The quest to understand the world and the universe using mathematics is as old as civilisation, and has led to the science and technology of today. Learn about the techniques and history of mathematics on ScienceLibrary.info.

1873 - 1916

Karl Schwarzschild was a German astronomer and physicist, and a pioneer of the field of astrophysics. He solved Einstein's field equations while serving as an artillery office on the Eastern Front, during World War One.

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