Explore the fascinating world of infinite series in this comprehensive mathematics history lecture. Delve into the groundbreaking work of 17th and 18th-century mathematicians, covering topics from geometric series to complex exponentials. Learn about the Gregory-Newton interpolation formula, Taylor's theorem, and the contributions of Leonard Euler. Discover the intricacies of Bernoulli numbers, the zeta function, and the Riemann Hypothesis. Gain insights into Descartes' Factor theorem and Euler's formula for complex exponentials. This in-depth exploration of mathematical concepts provides a solid foundation for understanding the historical development and significance of infinite series in mathematics.
Overview
Syllabus
Infinte series
18th century mathematicians
Geometric series
Infinite polynomials
Gregory Newton Interpolation Formula
Taylor's Theorem
Leonard Euler Basel - Berlin -St Petersburg
Introduction to Analysis Infinitorum 1748
Descartes' Factor theorem
Bernoulli numbers James Bernoulli -Probability
The zeta function
The Riemann Hypothesis
Euler's formula for complex exponential
Taught by
Insights into Mathematics
