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Science and Math Textbooks
Which book will suit the following course syllabus (introductory analysis)?
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[QUOTE="mathwonk, post: 5321417, member: 13785"] you already seem to have plenty of books. it appears you will likely need to study the contraction principle in complete metricm spaces, and its application to the implict function theorem in a normned space, and perhaps the existence theorem for ordinary differential equations. so i would suggest looking in your books for that topic. as i recall, neither spivak nor fleming use that approach to the inverse and implicit function theorems in their advanced calculus books, but lang does in his book Analysis I (1968), later published under a different title, as does spivak in his book on differential geometry, vol. 1, at least for the diff eq theorem. the point is perhaps that one does not need the contraction lemma approach to the inverse function theorem in finite dimensions, but it is standard in infinite dimensional banach spaces. [/QUOTE]
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Which book will suit the following course syllabus (introductory analysis)?
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