## Elements of Mathematics: |

From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics.
"[Stillwell] writes clearly and engagingly. . . . [ "A great exploration of elementary mathematics, its limitations, how infinity complicates things, and how various branches of mathematics fit together." "John Stillwell uses his broad and impressive command of mathematics to transport a reader through each topic and to a higher level of understanding and questioning. . . . Stillwell's writing is clear and direct, embellished by illustrative anecdotes and examples. . . . I consider "An accessible read. . . . Stillwell breaks down the basics, providing both historical and practical perspectives from arithmetic to infinity." "[A] sophisticated treatment of topics usually described as elementary." "[
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