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Āryabhaṭa's sine table
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Related lectures (27)
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Determinantal Point Processes and Extrapolation
Covers determinantal point processes, sine-process, and their extrapolation in different spaces.
Time-dependent Diffusion: Fourier Trick
Explores the Fourier Trick for time-dependent diffusion problems in a Cartesian system.
Genomics: Transposable Elements and DNA Fingerprinting
Explores transposable elements in the genome and the use of microsatellites for DNA fingerprinting.
Fourier Series: Odd and Even Functions
Explores odd and even functions in Fourier series applications, including half-range series and cosine/sine series.
Complex exponentials: Oscillations and advantages
Explores the use of complex exponentials to simplify trigonometry and algebra in digital systems.
Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
Generalized Powers: Derivatives and Exponentials
Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.
Trigonometric Functions: Sin and Cos
MOOC: Trigonometric, Logarithmic and Exponential Functions
Covers the definition of sine and cosine functions, their graphs, and notable points.
Trigonometric Functions: Properties and Limits
MOOC: Analysis I
MOOC: Analysis I (part 4) : Limit of a function, continuous functions
Explores the properties and limits of trigonometric functions, emphasizing even nature and function parity.
Integration: Lecture 8
Covers the integration of functions and Fourier series with examples and exercises.
Trigonometric Functions
Covers the concept of trigonometric functions and their applications in geometry.
Taylor Polynomials: Approximating Functions
Introduces Taylor polynomials for approximating functions around a point, showcasing their importance in accurately representing functions.
Derivatives and Trigonometry Fundamentals
MOOC: Warm-up for EPFL
Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.
Trigonometric Functions: Right Triangle
MOOC: Trigonometric, Logarithmic and Exponential Functions
Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.
Continuous Functions: Examples and Properties
Explores examples and properties of continuous functions, including limits and continuity.
Introduction to Plasma Physics
Introduces the basics of plasma physics, covering collective behavior, Debye length, and plasma conditions.
Fourier Series: Periodic Functions and Sine/Cosine Interactions
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Covers the Fourier series and interactions between sine and cosine functions.
Z-Transform: Convergence and Poles
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Covers the Z-transform, region of convergence, and examples of signals with multiple poles and finite-duration signals.
Fourier Series: Theory and Applications
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Explores the theory and applications of Fourier series, including convergence properties and piecewise-defined functions.
Laplace Transform: Basics
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Covers the Laplace transform, region of convergence, impulse response, and multiple poles.
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