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johnnyies
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I want to this as a self study and so far I've only had a calc 1 & 2 class. should I go up to differential sq/linear alg before starting advanced calc?
Many do not develop those things from scratch. Some in enough detail that prior exposure is only "helpful", others with less detail so that prior exposure is "very helpful".union68 said:All that being said, usually in an intro analysis course all that is specifically required is knowledge of limits, derivatives, integrals, etc.
union68 said:It's not really that you need specific prerequisites, it's more "math maturity" (a term that gets thrown around a lot but is never properly defined). It's a hard jump from algorithmic, computational math to abstract, proof-based math. I suggest you get really comfortable with proof techniques and logic before reading an analysis book.
All that being said, usually in an intro analysis course all that is specifically required is knowledge of limits, derivatives, integrals, etc.
WHICH analysis book you're reading makes a big difference too.
lurflurf said:Among in print books I recommend
Introduction to Analysis, by Maxwell Rosenlicht
Elementary Real and Complex Analysis, by Georgi E. Shilov
Undergraduate Analysis (Undergraduate Texts in Mathematics) by Serge Lang
There are also many out of print books, particularly good and free online is
Advanced Calculus by Shlomo Sternberg and Lynn H. Loomis
Though not good Principles of Mathaematical Analysis (baby Rudin) by Walter Rudin is "standard".
johnnyies said:https://www.amazon.com/dp/038790459X/?tag=pfamazon01-20
How bout that book? Elementary Analysis by Kenneth Ross?
The level of math required for analysis/advanced calculus is typically at least a strong foundation in algebra, trigonometry, and geometry. It is also recommended to have a good understanding of precalculus and basic calculus concepts.
While it is helpful to have a strong understanding of basic calculus concepts, it is not always necessary. Analysis/advanced calculus builds upon the fundamental concepts of calculus, but often approaches them in a more abstract and rigorous way.
A basic understanding of mathematical proofs is helpful for analysis/advanced calculus, but it is not always required. Most courses will cover the necessary proof techniques as part of the curriculum.
It is not recommended to start analysis/advanced calculus without a strong math background. It is important to have a solid understanding of basic math concepts in order to fully grasp the more advanced concepts in analysis/advanced calculus.
There are many resources available to help prepare for analysis/advanced calculus, including textbooks, online courses, and practice problems. It is also helpful to review basic calculus concepts and brush up on algebra, trigonometry, and geometry skills.