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mathematical analysis for engineers and beginning mathematicians [pdf]

Principles and Techniques in Combinatorics by Chen Chuan Chong, Koh Khee Meng

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About this book :-
Mathematical Analysis I For Engineers And Beginning Mathematicians written by Sever Popescu .
This is the best books on topics series of functions, Taylor series, Power series, Local extremum points and Implicitly deÖned functions.

Book Detail :-
Title: Mathematical Analysis
Author(s): Chen Chuan Chong, Koh Khee Meng
Pages: 649
Type: PDF
Language: English
Country: Romania
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About Author :- The author Sever Angel Popescu is professor at Department of Mathematics and Computer Sciences, Technical University of Civil Engineering Bucharest. He is Ph.D. from Institute of Mathematics of the Romanian Academy in 1986.

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Book Contents :-
Mathematical Analysis I For Engineers And Beginning Mathematicians written by Sever Popescu cover the following topics. '
The real line.
The real line. Sequences of real numbers, Sequences of complex numbers, Problems
Series of numbers
Series with nonnegative real numbers, Series with arbitrary terms, Approximate computations, Problems
Sequences and series of functions
Continuous and di§erentiable functions, Sequences and series of functions, Problems
Taylor series
Taylor formula, Taylor series, Problems
Power series
Power series on the real line, Complex power series and Euler formulas, Problems
The normed space Rm:
Distance properties in Rm, Continuous functions of several variables, Continuous functions on compact sets, Continuous functions on connected sets, The Riemannís sphere, Problems
Partial derivatives. Di§erentiability.
Partial derivatives. Di§erentiability, Chain rules, Problems
Taylorís formula for several variables.
Higher partial derivatives. Di§erentials of order k, Chain rules in two variables, Taylorís formula for several variables, Problems
Contractions and Öxed points
Banachís Öxed point theorem, Problems
Local extremum points
Local extremum points for many variables, Problems
Implicitly deÖned functions
Local Inversion Theorem, Implicit functions, Functional dependence, Conditional extremum points, Change of variables, The Laplacian in polar coordinates, A proof for the Local Inversion Theorem, The derivative of a function of a complex variable, Problems

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