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Amar.alchemy
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Kindly refer me the best book for the above mentioned topics. Actually, I'm looking for both theory and problems and it will be good if the book handles the topics in depth.
gauss^2 said:Baby Rudin (aka Principles of Mathematical Analysis) isn't for the faint of heart though. It's written in an extremely concise style relative to lower division and most upper division undergrad books, and you'll have to fill details like drawing diagrams and filling in steps as you read it or you'll be totally lost (unless you have an IQ of 5000). Make no mistake though; there is an incredible amount of information contained in it. I honestly think the only way to read it is to sketch the proofs in full detail as you go along, because Rudin's arguments are really slick and can look like hand-waving if you don't get down and dirty with them.
The best book for learning Algebra is subjective and may vary depending on the individual's learning style and level of understanding. However, some popular choices include "Algebra for Dummies" by Mary Jane Sterling and "Introduction to Linear Algebra" by Gilbert Strang.
Yes, there are many books that cover both basic and advanced Algebra concepts. Some examples include "Algebra: Structure and Method, Book 1" by Richard G. Brown and "Algebra: Form and Function" by William G. McCallum.
Some recommended books for self-study in Algebra are "Algebra: Pure and Applied" by Aigars Eisters and "The Humongous Book of Algebra Problems" by W. Michael Kelley. These books contain comprehensive explanations and practice problems for self-learning.
For high school students, "Algebra 1: An Incremental Development" by John H. Saxon Jr. and "Algebra and Trigonometry" by Michael Sullivan are popular choices. These books are designed specifically for high school level and provide a solid foundation in Algebra concepts.
Yes, many books on Algebra come with online resources such as practice quizzes, video tutorials, and interactive exercises. Some books also have accompanying workbooks or study guides for additional practice. It is recommended to check the publisher's website or the book's author for any supplementary materials.