I'm an undergraduate student in mathematics and want to study Calculus of several variables currently this semester which involves the use of analysis, vector spaces and linear transformations. Can anyone suggest me some good content I must refer to begin ,available online or a book?
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Martin Sleziak
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spectraa
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All three books mentioned in the answer here are useful http://math.stackexchange.com/questions/909163/which-book-is-appropriate-for-a-chemistry-student-that-needs-to-learn-basics-abo/909238#909238 – Ishfaaq Aug 26 '14 at 01:28
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http://tutorial.math.lamar.edu/ – Shahar Aug 26 '14 at 01:31
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I really like Serge Lang's Calculus of Several Variables. I find his explanations to be crystal-clear and, unlike most calculus books, the text is not overly burdened with distracting graphics or drill exercises. – Aug 26 '14 at 03:02
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@Bungo: I too like Lang's Calculus of Several Variables (see here), and there has been at least one math StackExchange question about Lang's calculus books -- Would it be fine to use Serge Lang's two Calculus books as textbooks for freshman as Maths major?. – Dave L. Renfro Aug 26 '14 at 14:07
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1See also http://math.stackexchange.com/questions/472726/online-classes-books-in-multivariable-calculus and http://math.stackexchange.com/questions/918913/suggested-textbook-for-multivariable-calculus You might find a few more similar questions by looking at questions tagged multivariable-calculus+reference-request. – Martin Sleziak Sep 30 '14 at 07:25
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Chapters 1-6 of the book "Functions of Several Real Variables" by Moskowitz and Paliogiannis discusses all these in detail and with many illustrative examples.
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I presume you must have already taken a basic course into calculus and analysis, so the book Analysis In Vector Spaces-A course in advanced Calculus can be a good place for you to start with. The chapters $3$ to $5$ which I have read were very well-explained ...
Martin Sleziak
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coool
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Do you mean the book Analysis In Vector Spaces-A course in advanced Calculus by Mustafa A.Akcoglu ,Bartha,Dzung M.Ha.Our profesor also suggested it but I never paid attention... – spectraa Sep 30 '14 at 05:35
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