Calculus: one variable calculus,with an introduction to linear algebra. - Apostol,Tom A. (Waltham : Blaisdell Publishing, 1967)
Parte 1:Historical introduction,Parte 2:Some basic Concepts of the Theory of Sets,Parte 3:A Set of Axioms for the Real-Number System,Parte 4:Mathematical Induction,Summation Notation,and Related Topics. 1:THE CONCEPTS OF INTEGRAL CALCULUS, 2:SOME APPLICATIONS OF INTEGRATION,3:CONTINUOS FUNCTIONS,4:DIFERENTIAL CALCULUS,5:THE RELATION BETWEEN INTEGRATION AND DIFFERENTIATION,6:THE LOGARITHM,THE EXPONENTIAL,AND THE INVERSE TRIGONOMETRIC FUNCTIONS,7:POLINOMIAL APPROXIMATIONS,8:INTRODUCTION TO DIFFERENTIAL EQUATIONS,9:COMPLEX NUMBERS,10:SEQUENCES,INFINITE SERIES,IMPROPER INTEGRALS,11:SEQUENCES AND SERIES OF FUNCTIONS,12:vECTOR ALGEBRA,13:APPLICATIONS OF VECTOR ALGEBRA TO ANALYTIC GEOMETRY,14:CALCULUS OF VECTOR-VALUED FUNCTIONS,15:LINEAR SPACES,16:LINEAR TRANSFORMATIONS AND MATRICES
Keywords: 1.MATEMATICA