Infinite series Courses and Certifications

Dr. Gajendra Purohit

Advance Calculus

Explore advanced calculus concepts including infinite series, partial differentiation, Jacobian transformations, and multivariable calculus through comprehensive lectures and problem-solving techniques.

• YouTube
• 12 hours
• On-Demand
• Free Video

Insights into Mathematics

Difficulties With Real Numbers as Infinite Decimals - Real Numbers + Limits Math Foundations

Explores challenges in defining real numbers as infinite decimals from a computational perspective, highlighting technical obstacles in algorithms, arithmetic operations, and number equality recognition.

• YouTube
• 52 minutes
• On-Demand
• Free Video

TED

Paper Towns and Why Learning Is Awesome

John Green explores the joy of learning outside traditional classrooms, highlighting online communities as vibrant spaces for intellectual growth and shared curiosity about diverse topics.

• YouTube
• 18 minutes
• On-Demand
• Conference Talk

International Centre for Theoretical Sciences

The Finite Part of Infinity by Joseph Samuel

Explore the paradoxical equation 1+2+3...=-1/12, its mathematical interpretation, and its impact on physics, including the Casimir effect, with insights from differential geometry and topology.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Man Who Invented Calculus - The Life and Work of Madhava - Lecture 3

Explore Madhava's groundbreaking mathematical contributions, including calculus foundations, infinite series, and abstract approaches, in this lecture by P P Divakaran on the 14th-century Kerala mathematician's life and work.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1

Explore Madhava's groundbreaking mathematical contributions, including calculus innovations, and his impact on Kerala's mathematical renaissance. Gain insights into his life and historical context.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 9

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques from standard to unconventional, with practical examples and applications in mathematics.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 8

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques like Euler-Maclaurin formula and less standard approaches with practical examples.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 6

Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 5

Explore advanced asymptotic methods for evaluating infinite sums and sequences, including Euler-Maclaurin formula variants and less conventional techniques, with practical examples and applications.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

ICTP Mathematics

Regularity Theory for Area-Minimizing Currents

Explore advanced concepts in geometric measure theory, including currents, boundaries, and regularity theory for area-minimizing surfaces, with applications to optimal transport problems.

• YouTube
• 1 hour 53 minutes
• On-Demand
• Free Video

Insights into Mathematics

Building On-Sequences: From Constant to Polynumber - Math Foundations 100

Explores the concept of on-sequences, starting with constant and polynumber types. Covers arithmetic operations, visualization techniques, and connections to the Online Encyclopedia of Integer Sequences.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Insights into Mathematics

Infinite Series in 17th and 18th Century Mathematics

Explore the historical development of infinite series, from geometric series to complex exponentials, with insights into key mathematicians and groundbreaking formulas of the 17th and 18th centuries.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 12

Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 11

Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in mathematical analysis.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video