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Thinker301
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Does Spivak and Artin or Hoffman/Kuzne suffice?
Thinker301 said:Thanks for replying so quickly. It did say that some knowledge of Linear algebra is necessary(I read the preface but was unsure of the level for LA) where should I get that?
Also would I get a good understanding of MV calc from it? Thanks for your time!
Thinker301 said:I looked at the ToC(for LA) and it wasn't too familiar. Would the MIT OCW LA course be good enough?
I do know some MV, but not to much. If I went through the MIT OCW version of MV would that be sufficent?
Thinker301 said:I know what you mean. They are quick though. What would you suggest otherwise?
Calculus, analysis, and differential geometry and analysis are closely related. The title does not really matter. The level matters more, but it is not useful to try to be precise about level. A given book may omit some topics or present different topics at different levels.micromass said:Loomis is a very difficult book. The title isn't really accurate too, it's not really calculus, but more differential geometry and analysis.
The purpose of "Prerequisites to Advanced Calculus by Loomis" is to provide a comprehensive review of the fundamental concepts and techniques necessary for success in advanced calculus. It covers topics such as algebra, trigonometry, and geometry, which are essential for understanding more complex calculus concepts.
The target audience for this book is students who are preparing to take an advanced calculus course or those who need to refresh their understanding of prerequisite concepts. It is also suitable for self-study for anyone interested in improving their mathematical skills.
This book is different from other calculus textbooks in that it specifically focuses on the prerequisites necessary for success in advanced calculus. It provides a more in-depth review of these concepts and their connections to calculus, rather than simply assuming prior knowledge.
While this book is a valuable resource for reviewing prerequisite concepts, it is not intended to replace a traditional calculus textbook. It is best used in conjunction with a calculus textbook, as a supplement for strengthening understanding of key concepts.
Yes, this book is suitable for a wide range of mathematics proficiency levels. It begins with basic concepts and gradually builds upon them, making it accessible for beginners. However, it also covers more advanced topics, making it a useful review for those with more experience in calculus.