000			01753nam a2200253 a 4500
999			_c6726 _d6726
020			_a1461268796 (paperback)
020			_a9781461268796 (paperback)
082			_a515.8
100	1		_aBrowder, Andrew.
245	1	0	_aMathematical Analysis :an introduction
250			_aSoftcover reprint of the original 1st ed. 1996.
260			_aNew york _bSpringer, _c2012.
300			_a335 p. ;
490	1		_aUndergraduate texts in mathematics.
520			_aAmong the traditional purposes of such an introductory 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. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.
650			_aMathematical analysis
650			_aMathematics
650			_aCell aggregation--Mathematics
650			_aManifolds (Mathematics)
650			_aComplex manifolds
650			_aFunctions of real variables
856	4	0	_uhttp://www.amazon.com/exec/obidos/ASIN/1461268796/chopaconline-20
942			_cBK