000			02762nam a2200445 i 4500
001			000693269
003			OCoLC
005			20240105153003.0
008			170516t20162016caua rb 001 0 eng d
020			_a9781627059510
020			_a1627059512
020			_a9781627054577
035			_a419521
040			_aLVB _bspa _erda _cLVB _dUIASF
050		4	_aQA 303.2 _bL874.2016
100	1		_aLuthy, Peter M. _eautor
245	1	4	_aThe fundamentals of analysis for talented freshmen / _cPeter M. Luthy, Guido L. Weiss, Steven S. Xiao.
264		1	_aSan Rafael, California : _bMorgan & Claypool Publishers, _c2016,
264		4	_c©2016
300			_axiii, 84 páginas : _bilustraciones ; _c24 cm
336			_atexto _btxt _2rdacontent
337			_asin mediación _bn _2rdamedia
338			_avolumen _bnc _2rdacarrier
490	1		_aSynthesis lectures on mathematics and statistics _v17
500			_aIncluye índice.
505	8		_a1. Limits, continuity, and compactness -- 1.1 Number systems and the principle of mathematical induction -- 1.2 A quick introduction to cardinal numbers -- 1.3 Limits -- 1.4 Vector space, metric space, norms, and inequalities -- 1.5 Continuous functions, open, closed, and compact sets in Rn
505	8		_a2. Differentiation on Rn -- 2.1 Differentiability on Rn -- 2.2 Higher partial derivatives and Taylor's theorem -- 2.3 Maxima and minima for real valued functions of several variables -- 2.4 The implicit function theorem
505	8		_a3. One and several dimensional integral calculus -- 3.1 Brief review of integrals of real-valued functions defined on a finite closed interval in R -- 3.2 Curves, arc length, and line integrals -- 3.3 Higher dimensional integrals -- 3.4 Multiple integrals and their reduction to one dimensional integrals -- 3.5 Green's theorem -- 3.6 Integration on surfaces
505	8		_aAuthors' biographies -- Index.
520	8		_aThis book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. In three chapters, this book covers these number systems and the material usually found in a junior-senior advanced Calculus course. It is designed to be a one-semester course for talented freshmen. Moreover, it presents a way of thinking about mathematics that will make it much easier to learn more of this subject and be a good preparation for more of the undergraduate curriculum.
650		4	_aCálculo infinitesimal
700	1		_aWeiss, Guido L. _d1928- _eautor
700	1		_aXiao, Steven S. _eautor
830		0	_aSynthesis lectures on mathematics and statistics _v#17.
905			_a01
942		1	_cNEWBFXC1
999			_c648978 _d648978
980			_851 _gRonald RUIZ