- 1. Abel, a character deeply ingrained in the tapestry of human narrative, is often remembered as a symbol of righteousness and innocence, standing in stark contrast to his brother Cain in the biblical story of Genesis. Born to Adam and Eve, Abel was a shepherd, a profession that not only connected him with the pastoral beauty of the natural world but also emphasized themes of care and nurturing toward living beings. His offerings to God, which came from the choicest of his flock, exemplified his devotion, showcasing a spirit of sacrifice and honor. In stark opposition, Cain, a tiller of the ground, found himself envious of Abel's favor with God, leading to a fateful encounter that resulted in the first recorded act of fratricide in history. Abel's story transcends mere anecdote; it serves as a poignant reminder of the struggle between good and evil, the consequences of jealousy, and the enduring impact of moral choices. Throughout history, Abel has been interpreted as a martyr, an archetype of purity, and the embodiment of those who suffer for their virtuous deeds, prompting us to reflect on the complexities of human relationships and the moral dilemmas we face within our own lives.
Who was Niels Henrik Abel?
A) A German philosopher
B) An American poet
C) A Norwegian mathematician
D) A French physicist
- 2. What is Abel's notable contribution to mathematics?
A) Statistics
B) Abelian groups
C) Calculus
D) Geometry
- 3. What type of equations did Abel focus on?
A) Integral equations
B) Differential equations
C) Algebraic equations
D) Partial equations
- 4. What award is named in honor of Niels Henrik Abel?
A) Nobel Prize in Mathematics
B) Crafoord Prize
C) Abel Prize
D) Fields Medal
- 5. In what year did Niels Henrik Abel pass away?
A) 1835
B) 1850
C) 1842
D) 1829
- 6. Which country recognized Abel's talents and significance posthumously?
A) Norway
B) Denmark
C) Finland
D) Sweden
- 7. Abel is often associated with which other mathematician through their work on equations?
A) Galois
B) Newton
C) Cauchy
D) Laplace
- 8. What is the title of the collection of Abel’s works published posthumously?
A) Collected Works
B) Papers of Niels Henrik Abel
C) Mathematical Contributions
D) Œuvres complètes
- 9. Abel's research was primarily conducted in which historical period?
A) 19th century
B) 20th century
C) 17th century
D) 18th century
- 10. What is an important characteristic of an Abelian group?
A) Distributivity
B) Commutativity
C) Associativity only
D) Additivity
- 11. What degree of polynomials did Abel prove cannot be solved by radicals?
A) Five or higher
B) One
C) Three and Four
D) Two
- 12. In what year was Niels Henrik Abel born?
A) 1798
B) 1802
C) 1775
D) 1815
- 13. Which of the following describes the structure of an Abelian group?
A) A set where every pair of elements can be ordered
B) A set with a binary operation that is associative, commutative and has an identity element
C) A collection of prime numbers
D) A set of continuous functions only
- 14. Abel's work laid the groundwork for which modern mathematical discipline?
A) Calculus
B) Real analysis
C) Abstract algebra
D) Numerical analysis
- 15. Abel's work helped establish the foundations of which mathematical theory?
A) Group theory
B) Game theory
C) Set theory
D) Probability theory
- 16. What was Abel's primary field of academic study?
A) Mathematics
B) Chemistry
C) Physics
D) Engineering
- 17. What mathematical operation is often associated with Abelian groups?
A) Subtraction
B) Addition
C) Division
D) Multiplication
- 18. Which mathematical concept did Abel contribute to that relates to functions of a complex variable?
A) Abelian functions
B) Analytic functions
C) Piecewise functions
D) Transcendental functions
- 19. What type of mathematical problem did Abel prove was unsolvable?
A) Quadratic equations
B) The general quintic equation
C) Cubic equations
D) Linear equations
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