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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
** Edition: **
** Author(s): ** Chen Chuan Chong, Koh Khee Meng
** Publisher: **
** Series: **
** Year: **
** Pages: ** 649
** Type: ** PDF
** Language: ** English
** ISBN: **
** 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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** • Download PDF Principles and Techniques in Combinatorics by Chen Chuan Chong, Koh Khee Meng **

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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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**Related Book Categories:- **

- Differential Equations
- Measure Theory
- Real Analysis
- Complex Analysis
- Harmonic Analysis
- Functional Analysis
- Number Theory
- Probability Theory

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**Other Topics:- **

- Basic Algebra
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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?