Studying What is the point of studying real analysis?

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Studying real analysis is essential for understanding the foundations of calculus and the rigor behind mathematical theorems. It provides the necessary tools to assess the validity and applicability of mathematical concepts. Real analysis emphasizes the importance of rigorous proofs and deepens comprehension of limits, continuity, and convergence, which are crucial for advanced mathematics and various applications in science and engineering. The discipline fosters critical thinking and analytical skills, which are valuable beyond mathematics itself.
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What is the point of studying real analysis? I find it not to be very useful...
 
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dav1d said:
What is the point of studying real analysis? I find it not to be very useful...

What's the point of studying anything? We're all going to die anyway.
 
How would anyone know if our mathematical theorems are sound for broad application if no one studied them with the rigor of mathematical analysis?
 
To understand where calculus comes from and why it results hold true.
 

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