Single Variable Differential and Integral Calculus Mathematical Analysis /

The 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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Mahmudov, Elimhan (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Paris : Atlantis Press : Imprint: Atlantis Press, 2013.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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001 978-94-91216-86-2
003 DE-He213
005 20151204165924.0
007 cr nn 008mamaa
008 130321s2013 fr | s |||| 0|eng d
020 |a 9789491216862  |9 978-94-91216-86-2 
024 7 |a 10.2991/978-94-91216-86-2  |2 doi 
040 |d GrThAP 
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072 7 |a MAT034000  |2 bisacsh 
082 0 4 |a 515  |2 23 
100 1 |a Mahmudov, Elimhan.  |e author. 
245 1 0 |a Single Variable Differential and Integral Calculus  |h [electronic resource] :  |b Mathematical Analysis /  |c by Elimhan Mahmudov. 
264 1 |a Paris :  |b Atlantis Press :  |b Imprint: Atlantis Press,  |c 2013. 
300 |a XVI, 373 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Introduction 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 |a The 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 |a Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Analysis. 
650 2 4 |a Ordinary Differential Equations. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9789491216855 
856 4 0 |u http://dx.doi.org/10.2991/978-94-91216-86-2  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)