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. 


Binding: Softcover 
Specs: 334 pages  1.12 Lbs 
ISBN: 1461268796 
ISBN13: 9781461268796 
Edition: 1 
Publisher: Springer  Publish Date 06/96  Copyright 1996 
Series: Springer Undergraduate Texts in Mathematics 





