Any Recommendations for a Comprehensive Math Anthology with No Errors?

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A user seeks a comprehensive math anthology that highlights significant breakthroughs while serving as an introduction to various fields, expressing interest in Stephen Hawking's "God Created the Integers," but noting its errors. Recommendations from the community include "The Princeton Companion to Mathematics," which appears to meet the user's needs. The discussion emphasizes the importance of accuracy in mathematical texts for educational purposes. The user is a first-year engineering physics student looking to expand their mathematical knowledge beyond their current curriculum. Overall, the thread focuses on finding error-free resources for learning about key mathematical concepts.
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Hello everyone.

I am looking for a technical book covering the great breakthroughs of mathematics that would also be a good introduction to a variety of fields. The perfect book seems to be 'God Created the Integers: The Mathematical Breakthroughs That Changed History' by Stephen Hawking, but by reading the reviews on amazon it seems that book is full of typos and errors in the formulas. Are there any similar books that you could recommend?

I am presently a first year engineering physics student and would like to be introduced to mathematical fields not covered in my program.

Thank you
 
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Have you tried "The Princeton Companion to Mathematics"?
 
Thank you micromass it seems to be exactly what I'm looking for!
 

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