000 02908nam a22004335i 4500
001 978-94-91216-86-2
003 DE-He213
005 20140220082947.0
007 cr nn 008mamaa
008 130321s2013 fr | s |||| 0|eng d
020 _a9789491216862
_9978-94-91216-86-2
024 7 _a10.2991/978-94-91216-86-2
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aMahmudov, Elimhan.
_eauthor.
245 1 0 _aSingle Variable Differential and Integral Calculus
_h[electronic resource] :
_bMathematical Analysis /
_cby Elimhan Mahmudov.
264 1 _aParis :
_bAtlantis Press :
_bImprint: Atlantis Press,
_c2013.
300 _aXVI, 373 p. 41 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction to Numbers and Set Theory -- Sequences and Series -- Limits and Continuity of Functions -- Differential Calculus -- Some Basic Properties of Differentiable Functions -- Polynomials and Interpolations -- Applications of Differential Calculus to Limit Calculations and Extremum Problems -- The Indefinite Integral -- The Definite Integral -- Applications of the Definite Integral.
520 _aThe book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared.
650 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 0 _aDifferential Equations.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aOrdinary Differential Equations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789491216855
856 4 0 _uhttp://dx.doi.org/10.2991/978-94-91216-86-2
912 _aZDB-2-SMA
999 _c100154
_d100154