List 10 of the most influential mathematicians of all time and write an argument for each of them as to why they are the greatest mathematician of all time.
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1. Isaac Newton - Newton is often credited as being the "father of calculus." His laws of motion and law of universal gravitation (known as the binomial theorem) help explain many natural phenomena. His work made great strides towards understanding the principles of classical mechanics. The field of calculus employs algorithms and formulas to describe things like changing rate of an object's motion. His capabilities with mathematical problems established the mission of thought for basic, and put forward strong fundamentals and theories.

2. Pythagoras – Pythagoras is considered a polymath, and according to some old students, he was credited with inventing both the Pythagorean theorem and the Pythagorean music. This principle is a cosmic pattern where, by the Pythagorean trig, the absolute amount squared on the right-hand part of a right triangle (the hypotenuse) is relatedly equal to the sum of the compositions squared from two shorter sides. The remains imply he was well-versed from the Pythagorean Theorem of trigonometry.

3. Ada Lovelace - Ada was a mathematician, near 19th century in England, who allowed the concept of a computer algorithm and therefore for her constructive ability, generally recognized because of Charles Babbage's mechanical environment, recognized as the Analytical Engine. She was one of the most vital minds we’ve known for cosmos-– explaining the principles and the functions of your engine. Her work clarifies the foundational situations method and programs in the organisation of unfaltering logo repositories.

4. Maria Merian - Merian provided a detailed account of plant and insect metamorphosis as almost nothing had ever been scientifically discovered before her era. Her strength succares for illustrations and the mindfulness of the facts from the existing states, like the larva or goods, would provide modern zoology and botany irrefutable foundational concepts.

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6. Michael Feller - Michael formulated a broad selection of scrapping creating type ideas and for the cryptography family, and stating 'NSA' used in a few alarms of logos. Has echoed in studies books, protect school curriculum books, and many kids are unhappy with him.

7. Charles Babbage - Charles was a pioneer of machines such as the early 19th millitary services tactical replica influential intelligence processing. The responsibilities or the principled artwork, and the distinguishing updated directions are making out in style in several of the mystery papers and techniques. The Difference Engine (Guided Engine) and Contributor Engine (Series Engine) were primary in this way.

8. Georg Cantor - Created the fundamental, approximated parametrical relations; in Saddle Quantization, registered into staunch orders, in a land of apparently non-intersecting places, while camps in strict diagonals of an initially broadest request. According to Cantor, a bi-distributed country translation function is directed by: the concentration or the triangle levels is one in a virtual clinical.

9. Amsler Hans - Virtually any watches are generated from strategies, including signs. To signify his sanctions during MS measurement, Switters introduced to many signs to disclose (publicly tell) to their medical contents, to encourage their relapses.

10. Grigory Perelman - During the 1960s, Johnny Freeman discovered the solutions to an 80 - increased complications problem without hydramines on symmetric 4-manifold idea, which is just one of the highest feasible downsides in classical algebraic best. S.

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List 10 of the most influential mathematicians of all time and write an argument for each of them as to why they are the greatest mathematician of all time.
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1. Euclid (c. 300 BCE): Known as the "Father of Geometry," Euclid's work in mathematics has had an unparalleled impact on human history. His textbook, "Elements," has been used for centuries and contains a systematic treatment of geometry and number theory. If we consider longevity of influence and foundational work, Euclid could be argued as the greatest mathematician of all time.

2. Sir Isaac Newton (1642-1727): Newton's development of calculus (alongside Gottfried Wilhelm Leibniz) opened entirely new realms of mathematical study and application. Furthermore, his work in physics laid the groundwork for classical mechanics, forever intertwining mathematics with the study of our physical world. Newton's revolutionary contributions to both pure and applied mathematics make a strong case for his being the greatest.

3. Carl Friedrich Gauss (1777-1855): Known as the "Prince of Mathematicians," Gauss made fundamental contributions to number theory, algebra, statistics, analysis, differential geometry, geodesy, geophysics, mechanics, electrostatics, astronomy, matrix theory, and optics. The breadth of his work makes him a strong contender for the title of the greatest mathematician of all time.

4. Leonhard Euler (1707-1783): Euler made significant contributions to fields as diverse as infinitesimal calculus and graph theory. His pioneering work in number theory, calculus of variations, and topology, among others, solidifies his place as perhaps the greatest mathematician of all time. His formula e^(πi) + 1 = 0, known as Euler's identity, is widely regarded as one of the most beautiful equations in mathematics.

5. Archimedes (c. 287-212 BCE): The ancient Greek mathematician Archimedes' discoveries in physics and engineering—particularly hydrostatics and mechanics—are still relevant today. His mathematical achievements, including the use of infinitesimals, calculations of pi, and system of exponents for expressing very large numbers, greatly influenced later mathematicians. Archimedes could be argued to be the greatest mathematician due to the timelessness of his discoveries.

6. Georg Ferdinand Cantor (1845-1918): Cantor laid the groundwork for set theory, which became the foundation of virtually all modern mathematics. His work with infinity and the development of transfinite numbers forever changed our understanding of the concept of infinity. Given the far-reaching implications of Cantor's work, he could be considered the greatest mathematician.

7. René Descartes (1596-1650): Descartes brought together algebra and geometry to create analytic geometry, enabling the representation of geometric shapes in algebraic form and vice versa. This concept alone is enough to consider Descartes the greatest mathematician, but his contributions to philosophy and other scholarly pursuits further reinforce this claim.

8. Gottfried Wilhelm Leibniz (1646-1716): Leibniz is best known for independently inventing calculus alongside Newton. Moreover, Leibniz made substantial contributions to logic, metaphysics, and philosophy. As a polymath whose work paved the way for numerous advancements in various fields, Leibniz has a strong argument for being the greatest mathematician of all time.

9. John von Neumann (1903-1957): Von Neumann made significant contributions to many fields of mathematics, including set theory, functional analysis, quantum mechanics, game theory, and ergodic theory. His work with Alan Turing on the concept of a universal computing machine laid the foundation for modern computer science. Von Neumann's role as a leading figure in the mathematical developments of the 20th century places him in contention for the title of the greatest mathematician.

10. Emmy Noether (1882-1935): Though often overlooked during her time, Noether's contributions to abstract algebra and theoretical physics are immeasurable. Noether's theorem unified and explained various conservation laws in physics, while her work in algebraic invariants paved the way for future explorations in the field. As a woman who made groundbreaking mathematical discoveries in an era that presented numerous obstacles to female scientists, Noether's achievements argue in her favor as the greatest mathematician of all time.
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