Niels Henrik Abel's Contributions and Life

Niels Henrik Abel, a Norwegian mathematician, lived a life of obscurity and poverty despite his groundbreaking work in mathematics. He solved the quintic equation problem by proving it unsolvable by radicals, a major achievement that went unrecognized during his lifetime. Abel's work laid the foundation for modern algebra and analysis, influencing future generations. Despite his early death at 26, his contributions were eventually acknowledged, leading to the establishment of the Abel Prize, celebrating excellence in mathematics.

What was the main theme of the letter that rushed towards its destination in Norway?

• A request for financial aid

• An offer of academic recognition

• A personal letter from a friend

• A warning about an impending danger

In which year was Niels Henrik Abel born?

• 1802

• 1815

• 1829

• 1799

Who was the teacher that recognized Abel's extraordinary potential?

• Carl Friedrich Gauss

• Augustin-Louis Cauchy

• Hans Abel

• Bernt Michael Holmboe

What mathematical problem did Abel become obsessed with solving?

• Quintic equations

• Cubic equations

• Quadratic equations

• Linear equations

What was Abel's groundbreaking realization about the quintic equation?

• It was a simple problem

• It had already been solved

• It could be solved using radicals

• It was unsolvable by radicals

Which mathematician did Abel write to, seeking recognition for his work?

• Pierre-Simon Laplace

• Leonhard Euler

• Isaac Newton

• Carl Friedrich Gauss

What happened to Abel's revolutionary paper submitted in Paris?

• It was rejected outright

• It was plagiarized

• It was lost in a bureaucratic shuffle

• It was published immediately

What mathematical concept did Abel significantly contribute to?

• Geometry

• Differential equations

• Elliptic functions

• Probability theory

Which field benefits from Abel's work on Aelian groups?

• Literature

• Biology

• Art

• Cryptography

What illness did Abel suffer from in his final years?

• Heart disease

• Diabetes

• Cancer

• Tuberculosis