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theneedtoknow
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I mean, a book that states the basic axioms of contemporary mathematics and then proceeds to prove/derive things based on those axims. Something like a contemporary mathematics version of Euclid's Elements?
Some recommended books for understanding math from the ground up are "Mathematics: Its Content, Methods and Meaning" by A.D. Aleksandrov, "How to Solve It: A New Aspect of Mathematical Method" by George Polya, and "The Princeton Companion to Mathematics" edited by Timothy Gowers.
"A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)" by Barbara Oakley is a popular book that explains math concepts in a simple and approachable way.
"A Book of Abstract Algebra" by Charles C. Pinter is a comprehensive book that covers various branches of math, such as algebra, number theory, and geometry, from the basics.
"The Joy of x: A Guided Tour of Math, from One to Infinity" by Steven Strogatz is a book that uses relatable and interesting examples from everyday life to explain mathematical concepts.
"Math for the Frightened: Facing Scary Symbols and Everything Else that Freaks You Out About Mathematics" by Colin Pask is a book specifically written for those who have no prior knowledge of math and may feel intimidated by the subject.