Calculus Want to read a paragraph at "Calculus", by R. A. Adams, 8th or 7th ed.

  • Thread starter Thread starter mcastillo356
  • Start date Start date
  • Tags Tags
    Calculus
AI Thread Summary
The discussion centers on a request for an updated translation of the first paragraph from Chapter 4.2, titled "Test of the First Derivative," in the Spanish 6th edition of "Cálculo" by Robert A. Adams. The original text explains that most functions in elementary calculus have nonzero derivatives across their domains, except at a limited number of critical points, singular points, and endpoints. It emphasizes that on intervals between these points, the derivative is non-zero, indicating whether the function is increasing or decreasing. Additionally, it states that if a function is continuous and increases to the left of a point and decreases to the right, it must have a local maximum at that point. The participant expresses a preference for the English 9th edition and plans to purchase it in the future for better comprehension.
mcastillo356
Gold Member
Messages
639
Reaction score
348
Hi,PF

I've got "Cálculo", Spanish 6th edition, by Robert A. Adams. At Chapter 4.2, would like to read an updated (guess it might be better) 1st. paragraph of the section I translate "Test of the first derivate".

Regards
 
Physics news on Phys.org
Most functions you will encounter in elementary calculus have nonzero derivatives ev- erywhere on their domains except possibly at a finite number of critical points, singular points, and endpoints of their domains. On intervals between these points the derivative exists and is not zero, so the function is either increasing or decreasing there. If f is continuous and increases to the left of x0 and decreases to the right, then it must have a local maximum value at x0. The following theorem collects several results of this type together.

9th english edition
 
Thanks! Willing to buy it, don't know when. I manage better in English!
 

Thread 'Books with a more theoretical approach to turbulence and DNS'

I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...
View full post »

Thread 'Blennow to follow up Altland?'

TLDR: is Blennow "Mathematical Methods for Physics and Engineering" a good follow-up to Altland "Mathematics for physicists"? Hello everybody, returning to physics after 30-something years, I felt the need to brush up my maths first. It took me 6 months and I'm currently more than half way through the Altland "Mathematics for physicists" book, covering the math for undergraduate studies at the right level of sophystication, most of which I howewer already knew (being an aerospace engineer)...
View full post »

Similar threads

Calculus Possible typo at "Cálculo", by Robert A. Adams
Replies
2
Views
965
Calculus Sentence in English in textbook "Calculus", by Robert A. Adams
Replies
5
Views
1K
Calculus Where did my textbook say clearly what it states at this point?
Replies
7
Views
1K
Calculus Calculus: TEOREMA 2? Investigating a Typo in Adams' 6th Edition
Replies
1
Views
867
Calculus Confusion over Calculus Book example footnote
Replies
9
Views
2K
Calculus What Is the Original Text of Example 6(c) in Calculus by Robert A. Adams?
Replies
4
Views
1K
How to conclude a mathematical expression with the provided background
Replies
17
Views
2K
B Looking for context for a textbook quote
Replies
9
Views
2K
B Advice to obtain the domain of compound functions
Replies
2
Views
1K
What to Read/Study in Physics if I want to be a Physicict
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top