The first semester of this course is the basic introductory course in analysis, introducing the words "compact", "complete" "connected", "continuous", "convergent", etc. Among traditional purposes of such a course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. The topics covered in the second semester, and the second half of this book, are differentiation (of vectorvalued functions of several variables), integration, and the connection between these concepts which is displayed in the theorem of Stokes, in its general form. Also included are some beautiful applications of the theory such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions.
About Andrew Browder
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Author  :  Andrew Browder 
Publisher  :  SpringerVerlag New York Inc. 
Data Published  :  01 February 2001 
ISBN  :  0387946144 
EAN  :  9780387946146 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  356 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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