Overview

Our purpose in this edition of Differential Calculus Early Transcendental is to help the arriving students to the university to face up with exit the topics of calculus. To accomplish this goal, the precalculus material that appeared in the appendixes of the previous edition, was enlarged and presented in the three first chapters of this edition. The third chapter is entirely dedicated to the conics, which are developed thoroughly. The three new chapters were written following the same scheme we use in our texts, balancing the theory and the practice. The theory is illustrated by many examples. A part of each section is dedicated to present, with all the details, solved problems. Most of the theorems are presented with his corresponding proofs. When the proof is complicated, this is presented as a solved problem. CONTENT: Chapter 1.PRELIMINARIES PYTHAGORAS OF SAMOS A short introduction to Logic and Set Theory The Real Number System. Field Axioms Radicals and Rational Exponents Some Topics of Algebra Polinomial Equations Order Axioms for Real Numbers Inequations Absolute Value Chapter 2.THE CARTESIAN PLANE AND THE LINE RENE DESCARTES The Cartesian Plane Graphs of Equations of two Variables Symmetry and Translation Criterios The line and the First Degree Equation Chapter 3.THE CONIC APOLONIO OF PERGA Introduction The Parabola The Ellipse La Hiperbola The General Second Degree Equation Rotation of Axes

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Jorge Alfonso Saenz Camacho, born on July 20, 1938, in Cajamarca, Peru, studied Mathematics at UNMSM(Universidad Nacional Mayor de San Marcos, Lima Peru), and at the University of Notre Dame (Indiana, USA), receiving his doctorate (Ph.D). Jorge Saenz although studied Mathematics Education at UNEEGV (Universidad Nacional de Educacion Enrique Guzman y Valle, La Cantuta, Peru) and at the Teachers College, University of Columbia(New York, USA). Jorge Saenz has been teaching and writing about mathematics for more than 30 years, working at universities in several countries, like Puerto Rico, Ecuador, Peru and Venezuela where he became a famous author.

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