Textbooks, Technical Manuals, Websites and Tools on Anything Higher Mathematics.
Criteria for Inclusion (Books)
The web is full of materials in higher mathematics, but finding high-quality materials of the right level proves to be a much tougher task. Over the years of reading textbooks and other educational materials, We’ve come to discover that great textbooks tend to share the following characteristics:
Compactness: As a general rule of thumb, people tend to successfully make through a book if it has around 300 pages or less. Remember, we are not talking about novels or reference books here — learners get cognitively exhausted from attempting to absorb many concepts at the same time.
Concise, Personal Style of Writing: Readers tend to be more engaged when they feel the authors are talking to them, and learners prefer having materials delivered to them in simple words, in few paragraphs.
Pedagogical Minimality: While it doesn’t always show, experienced authors tend to take great care in choosing words and avoiding extraneous concepts. They would present the proofs in intuitive and easily reachable ways and leave the tiny details and future explorations to the readers. Most often than not, instead of feeding the readers with complete infos, these authors merely assist the readers in discovering mathematical insights on their own.