Modern Calculus & Mathematics Books: Recommendations

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Recommendations for modern calculus books include "Calculus: Early Transcendentals" by James Stewart and "Calculus" by Michael Spivak, noted for their clarity and rigor. For modern mathematics, "The Art of Mathematics: Coffee Time in Memphis" by Béla Bollobás is suggested for its engaging approach. Participants emphasize the importance of selecting books that balance theory and application to enhance understanding. The discussion also points to additional resources in the forum's dedicated books section and the "Who Wants to Be a Mathematician" thread for further exploration. Overall, the community encourages exploring a variety of texts to find the best fit for individual learning styles.
Gear300
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I sort of need recommendations for good Modern Calculus Books...and a book in Modern Mathematics in general.
 
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there is a books section. and there is a who wants to be a mathematician thread. look at those.
 
alright
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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