Titlebook: Mathematics and Its History; A Concise Edition John Stillwell Textbook 2020 Springer Nature Switzerland AG 2020 History of mathematics.Calc

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Mathematics and Its History978-3-030-55193-3Series ISSN 0172-6056 Series E-ISSN 2197-5604

compassion

The Theorem of Pythagoras,The Pythagorean theorem is the most appropriate starting point for a book on mathematics and its history. It is not only the oldest mathematical theorem, but also the source of three great streams of mathematical thought: numbers, geometry, and infinity.

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Infinity in Greek Mathematics,Perhaps the most  interesting—and most modern—feature of Greek mathematics is its treatment of infinity. The Greeks feared infinity and tried to avoid it, but in doing so they laid the foundations for a rigorous treatment of infinite processes in 19th century calculus.

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Polynomial Equations,The first phase in the history of algebra was the search for solutions of polynomial equations. The “degree of difficulty” of an equation corresponds rather well to the degree of the corresponding polynomial.

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