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## Main Question or Discussion Point

Dear Physics Forum friends,

my old friend recently gave me a book called "Advanced Calculus" by Loomis/Sternberg, published by the World Scientific. I had taken a look at that book, and it seems to be that the book treats the vector calculus, linear algebra, and some topics on the mathematical physics. I am currently taking courses that use Rudin's PMA (Chp.1-7) and Hoffman/Kunze's linear algebra texts. I am curious if it will be a productive idea to start reading Loomis/Sternberg after finishing those the single-variable analysis from Rudin and the linear algebra from Hoffman/Kunze. The Loomis/Sternberg book is very tempting to me and I like its conciseness, but I am not sure how should I use it. Is it safe to read Loomis/Sternberg alongside with Rudin's RCA? Do I need to read the multivariate analysis from Rudin first?

Thanks,

my old friend recently gave me a book called "Advanced Calculus" by Loomis/Sternberg, published by the World Scientific. I had taken a look at that book, and it seems to be that the book treats the vector calculus, linear algebra, and some topics on the mathematical physics. I am currently taking courses that use Rudin's PMA (Chp.1-7) and Hoffman/Kunze's linear algebra texts. I am curious if it will be a productive idea to start reading Loomis/Sternberg after finishing those the single-variable analysis from Rudin and the linear algebra from Hoffman/Kunze. The Loomis/Sternberg book is very tempting to me and I like its conciseness, but I am not sure how should I use it. Is it safe to read Loomis/Sternberg alongside with Rudin's RCA? Do I need to read the multivariate analysis from Rudin first?

Thanks,