For those with a passion for numbers and the intricate beauty of mathematical analysis, this curated list of documentaries offers a fascinating journey. From the historical development of calculus to the modern applications of mathematical theories, these films provide an insightful look into the minds of mathematicians and the impact of their work on our world. Whether you're a student, a professional, or simply a curious mind, these documentaries will enrich your understanding and appreciation of mathematical analysis.

A Beautiful Mind (2001)
Description: Although primarily a biographical drama, it provides insight into the life of John Nash, whose work in game theory and differential geometry has implications in mathematical analysis.
Fact: The film won four Academy Awards, including Best Picture.


The Man Who Knew Infinity (2015)
Description: While not strictly a documentary, this biographical film about Srinivasa Ramanujan explores his contributions to mathematical analysis, particularly in the realm of infinite series and continued fractions.
Fact: The film was adapted from the book by Robert Kanigel and features Dev Patel as Ramanujan.


The Code (2009)
Description: This documentary series covers various aspects of code-breaking, which often involves mathematical analysis. It's a thrilling look at how mathematics has been used in espionage.
Fact: The series was narrated by Stephen Fry, adding a touch of British charm.


The Story of Maths (2008)
Description: This BBC series explores the history of mathematics, with a significant focus on the development of calculus and mathematical analysis. It's an excellent introduction to how these concepts evolved over time.
Fact: The series was presented by Marcus du Sautoy, a renowned mathematician, making it both educational and engaging.


The Proof (2014)
Description: This documentary follows the journey of Yitang Zhang, who made a breakthrough in prime number theory, a field closely related to mathematical analysis. It's a testament to the power of perseverance in mathematics.
Fact: Zhang's work was published in the Annals of Mathematics, one of the most prestigious journals in the field.


Fermat's Last Theorem (1996)
Description: This documentary delves into one of the most famous mathematical problems, which involves deep concepts from number theory and analysis. It's a story of obsession, genius, and the beauty of mathematics.
Fact: The film includes interviews with Andrew Wiles, who solved Fermat's Last Theorem after years of dedication.


The Secret Life of Chaos (2010)
Description: This documentary explores chaos theory, which is deeply rooted in mathematical analysis, showing how small changes can lead to significant outcomes in systems.
Fact: It was produced by the BBC and features stunning visualizations of chaotic systems.


The Joy of X: A Guided Tour of Math, from One to Infinity (2010)
Description: Based on the book by Steven Strogatz, this documentary series covers a broad range of mathematical topics, including analysis, in an accessible and entertaining manner.
Fact: Strogatz is known for his work in non-linear dynamics, which is closely related to mathematical analysis.


The Story of One (2005)
Description: This documentary explores the concept of 'one' in mathematics, touching on aspects of analysis like limits and continuity, making it a unique entry in this list.
Fact: It was part of the BBC's "The Story of Maths" series.


The Geometry of Thought (2013)
Description: This film delves into the connection between geometry and mathematical analysis, exploring how these fields intersect to shape our understanding of the world.
Fact: It features interviews with leading mathematicians and philosophers discussing the implications of mathematical thought.
