Master Gradshteyn & Ryzhik's "Table of Integrals, Series & Products

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SUMMARY

The discussion centers on the book "Table of Integrals, Series & Products" by Gradshteyn & Ryzhik, highlighting its intimidating nature and the author's experience with it. The book is primarily a reference collection of integrals, lacking derivations, which makes it challenging for those unfamiliar with advanced calculus. Users suggest that many integrals are sourced from other works, such as those by Arthur Erdélyi. Ultimately, the consensus is to approach this book with caution and consider alternative resources for understanding integrals.

PREREQUISITES
  • Familiarity with advanced calculus concepts
  • Understanding of integral calculus
  • Knowledge of mathematical notation and terminology
  • Experience with reference materials in mathematics
NEXT STEPS
  • Explore "Advanced Calculus" by Patrick M. Fitzpatrick for foundational concepts
  • Study "Mathematical Methods for Physicists" by George B. Arfken for practical applications
  • Learn about integral tables and their uses in "Integral Transforms and Their Applications" by N. G. C. D. S. S. V. K. Rao
  • Investigate online resources or courses focusing on integral calculus techniques
USEFUL FOR

This discussion is beneficial for mathematics students, educators, and anyone seeking to deepen their understanding of integrals and their applications in advanced calculus.

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I have a lecturer who has taunted me with the book "Table of Integrals, Series & Products"
by Gradshteyn & Ryshik with the fact that he could do everything in the book before he even
went to university. Not being a soviet teenager I was playing guitar & hated math but had I
that interest I'd have mastered this book by age 15 :rolleyes:
In any case, the book looked terrifying at first, absolutely terrifying, but I mean looking in it
it isn't that bad. Theoretically I should be able to manage the first 600 pages based off of
the contents of something like thomas calculus but I mean most of the integrals in this book
are pretty scary when you flip open to some random page in the early hundreds.
Just wondering if people have anything to say on this, whether there are other books I
should read with more of an inkling on how to manage the integrals in G&R :cool:
 
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Make sure you have enough vodka on hand. I read a story that the authors mostly wrote the book in an isolated cabin in Siberia & determined how difficult a formula was by how many vodkas they drank by the time they finished derivating it.
 
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It would be easier to climb Everest than to "work the first 600 pages" of this Epic Tome.
 
This is just a reference book - they don't derive integrals at all. It's just a collection of integrals precisely for the reason that you do not need to derive it yourself.

In fact, a lot of the integrals you find in there are just copy/pasted from other sources, such as the books on integrals by Arthur Erdélyi et al.

So please, don't waste your time on it.
 

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