Where should I start in calculus for differential equations?

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To begin studying calculus, particularly differential and integral calculus, a solid foundation in algebra and trigonometry is essential. Recommended starting resources include "First Course in Calculus" by Lang, which emphasizes practical calculus concepts like integrals and derivatives without delving deeply into complex background theories. After completing this book, exploring Spivak's work can help fill in gaps. Additional resources such as Khan Academy, Paul's notes, and MIT OpenCourseWare are suggested for supplementary learning, although they should not be the primary sources. Engaging with these materials can provide a comprehensive introduction to calculus.
darknoob
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hi there I am new here!..

i just want to ask question about getting started with calculus (differential/integral)..
ive started algebra and trigonometry a year ago and i love doing math exercises they say that calculus is hard but i don't believe them.. i want to start doing calculus, but i don't where to start, i read a little about calculus just the concepts,. functions,relations,derivatives,limits and so on..

i just need advice where should i start in calculus(differential and integral) to Defferential Equations and I am looking for your great advice
 
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Personally, I think one of the best places to start is Lang his "First course in calculus". It doesn't focus very much on the very difficult background theory of limits, continuity and epsilon-delta statements. But it focuses more on the actual calculus such as integrals, derivatives and series. The book is quite rigorous (as is usual for Lang), but I think it's ok for a first course. When you finished it, you might want to try out a book like Spivak for everything you missed.

Another great (secondary) resource is http://books.google.be/books/about/Counterexamples_in_Calculus.html?id=5e2N4HXWvXAC&redir_esc=y

You might also want to check out Khan academy, Paul's notes and MIT Opencourseware. But do not use these as primary resources.
 
micromass said:
Personally, I think one of the best places to start is Lang his "First course in calculus". It doesn't focus very much on the very difficult background theory of limits, continuity and epsilon-delta statements. But it focuses more on the actual calculus such as integrals, derivatives and series. The book is quite rigorous (as is usual for Lang), but I think it's ok for a first course. When you finished it, you might want to try out a book like Spivak for everything you missed.

Another great (secondary) resource is http://books.google.be/books/about/Counterexamples_in_Calculus.html?id=5e2N4HXWvXAC&redir_esc=y

You might also want to check out Khan academy, Paul's notes and MIT Opencourseware. But do not use these as primary resources.

^thanks i appreciate your sincere kindness for sharing information where i can find lessons in calculus,
 
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Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...

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