Calculus: One and Several Variables by Salas, Etgen, Hille

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SUMMARY

Calculus: One and Several Variables by Saturnino L. Salas, Garret J. Etgen, and Einar Hille is a textbook that provides a progressive approach to exercises but suffers from overly concise explanations filled with dense jargon. While it offers a satisfactory treatment of multivariate concepts and proves most theorems, it lacks accessibility for students, particularly in its late introduction of fundamental concepts like the least upper bound property of R. For undergraduates pursuing theoretical physics, particularly in quantum field theory (QFT), this text is insufficient, necessitating further study beyond its content.

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  • High school mathematics
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  • Explore Apostol's Calculus for a more rigorous approach
  • Study Spivak's Calculus for deeper theoretical insights
  • Investigate Stewart's Calculus for a more accessible introduction
  • Research advanced calculus texts that cover quantum field theory applications
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This discussion is beneficial for undergraduate students in mathematics and theoretical physics, particularly those seeking foundational calculus knowledge and guidance on suitable texts for advanced studies in quantum field theory.

For those who have used this book


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micromass
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This book is good in that the exercises clearly teach the section concepts in a progressive fashion. It is not so good in that the explanations of the material seem to aim to use as few words as possible, and rely on some VERY dense jargon to save paper.

A few extra words per sentence would make this a great book. It's a failing I find common to 90% of mathematics texts. Popular calc texts should be split into 3 separate volumes, IMO. The explanations need to be fleshed out and accessible and understandable to students - not just math professors.
 
salas and hille was a classic, o do not remember the other guy.
 
Book isn't bad but isn't great either. Seems to straddle an unfortunate line in level of material between something like Apostol or Spivak and Stewart. Much better IMO to just sit down and work through Spivak etc. But it has an okay treatment of multivariate concepts and actually proves most of the theorems.

Although, looking back on it, I am shocked to say they didn't introduce the least upper bound property of R until chapter 11. Which is terrible...
 
Hi micromass, I just want to ask if Calculus by Salas is enough for theoretical physics undergraduates? I am curious because I want to do research in QFT in grad school and I'm thinking if my investment for Salas is enough.
 
shinobi20 said:
Hi micromass, I just want to ask if Calculus by Salas is enough for theoretical physics undergraduates? I am curious because I want to do research in QFT in grad school and I'm thinking if my investment for Salas is enough.
Salas, Hille, Etgen's Calculus is okay but if you want to do QFT, you pretty much need to go beyond this text. I have used this book for my elementary calculus classes only.
 

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