Description
Book description:
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Author's name: Talaat Abdel Nasser, Abdel Shafi Obada, Ahmed Baroum
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Number of pages: 493 pages
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The subject of the book: Introduction to Mathematics for Science and Engineering
The contents of the book:
This book contains a set of selected and consistent topics, as it begins with a presentation of some information about category algebra in the first chapter, based on this information the basic definitions of the relations and functions included in the second chapter, which details some properties of polynomial functions and continuous functions, especially trigonometric functions, and the third chapter discusses the principle of limits and the theories on this topic are presented, starting with the limits of polynomial functions, then trigonometric functions and some other continuous functions, followed by the chapter on differentiation, which is a direct application of the principle of limits, showing how to perform differential operations, in the fifth chapter, we apply In the seventh section, we return to continuous functions in the eighth section, where we discuss hyperbolic functions and their properties and perform calculus operations for such functions, followed by the ninth section, which contains the expansion of functions, while the tenth section is a return to integration, where we discuss in detail a set of methods used to perform integral operations. The next two chapters, the eleventh and twelfth, include topics related to algebra, namely complex numbers with their definition, some functions defined on the complex plane, de Moivre's theorem, Cardin's solution to the third degree equation and Ferrari's solution to the fourth degree equation, and we introduce the topic of determinants after that, where we know the second degree determinants and their properties, then the third degree determinants and how to use them in solving harmonic equations.
The last section is devoted to analytical geometry, where we detail the properties of conic sections: parabolic, minus and plus, as well as some special curves and the curves that represent the second degree equation
We hope this chapter concludes this curriculum, and we hope that this curriculum will be useful and easy, and we ask Allah to help us and guide us to the right path.
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A special collection of books Talaat Abdelnasser
