Matematica propedeutica - 9788893640015

Matematica propedeutica: Il manuale presenta i contenuti essenziali e propedeutici allo studio della Matematica. È strutturato in modo da fornire gli strumenti matematici di base, raccogliendo e sintetizzando le principali nozioni di geometria, algebra e analisi. Vengono trattati, in un contesto aggiornato in accordo con le esigenze didattiche e supportato da numerose tabelle e esempi: geometria, algebra degli insiemi, strutture algebriche, potenze, radicali, logaritmi, polinomi, equazioni e disequazioni, trigonometria, funzioni, calcolo differenziale e integrale, serie e equazioni differenziali.
The manual presents the essential and preparatory contents for the study of Mathematics. It is structured to provide the basic mathematical tools, collecting and synthesizing the main notions of geometry, algebra and analysis. They are treated, in an updated context in accordance with the teaching needs and supported by numerous tables and examples: geometry, set algebra, algebraic structures, powers, radicals, logarithms, polynomials, equations and inequalities, trigonometry, functions, differential and integral calculus, series and differential equations. The author. Mauro Marini was born in Florence. Since 1994 he has been a professor at the Faculty of Engineering of the University of Florence. He is a member of U.M.I. (Unione Matematica Italiana), of G.N.A.M.P.A. (Gruppo Nazionale per l'Analisi Matematica, la Probability e le loro Applica) and of I.S.D.E. (International Society of Difference Equations). His research focuses on mathematical analysis and mathematics applied to electronics. He is the author and co-author of more than 120 scientific papers.1. PREPARATORY MATHEMATICS Mauro Marini - Revision by Licia Marcheselli1. GEOMETRY - 1.1. Euclidean geometry form - 1.2. Analytic geometry in the plane - 1.3. Analytic geometry in space 2. SET ALGEBRA REFERENCES - 2.1. Main operations - 2.2. Main reports - 2.3. Properties of relationships and operations - 2.4. Principle of duality - 2.5. De Morgan's theorem- 2.6. Functionally complete operators - 2.7. Introduction to Boolean algebra 3. ALGEBRAIC STRUCTURES - 3.1. Group - 3.2. Field - 3.3. Space