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fxdung
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I intend to self-learn undergraduate math program.What are the books for undergraduate math?Please show me all some books that cover the whole program!
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I really like his books. My first intro linear algebra was proof based, and the textbook we used was Strang. I found it too verbose. So I ordered Serge Lang: Introduction to Linear Algebra, and finally understood what linear independence and span was. I read parts of his undergraduate analysis ( was recommended by a member here) to understand multivariable analysis. My course was based on Spivak Calculus Of Manifolds. After the implicit function theorem, I could no longer follow. But Lang made things click for me.Mondayman said:I found Serge Lang books to be okay for an introduction to "proper" mathematics. Specifically, his Basic Mathematics, calculus, and linear algebra texts. I had them, and could not find a buyer, and was forced to donate them to Value Village. I immediately regretted it and went to buy them back, but it was too late ☹
I have never looked at it. but I found Artin enjoyable.fxdung said:I like to know what about Algebra by MacLane?Is it sutable for undergraduate?
Some of the best undergraduate math books for beginners include "Introduction to Mathematical Thinking" by Keith Devlin, "Calculus: Early Transcendentals" by James Stewart, and "Linear Algebra Done Right" by Sheldon Axler.
For advanced students, some of the best undergraduate math books include "Real Analysis" by Royden and Fitzpatrick, "Abstract Algebra" by Dummit and Foote, and "Topology" by James Munkres.
Some of the best undergraduate math books for self-study include "The Art of Problem Solving" by Richard Rusczyk, "How to Prove It" by Daniel Velleman, and "Discrete Mathematics and Its Applications" by Kenneth Rosen.
Yes, there are several online resources for undergraduate math books such as OpenStax, which offers free online textbooks for various math courses, and MIT OpenCourseWare, which provides lecture notes and assignments for undergraduate math courses.
When choosing an undergraduate math book, it is important to consider the level of difficulty, the author's writing style, the book's organization and layout, and the availability of practice problems and solutions. It is also helpful to read reviews and ask for recommendations from professors or other students.