Title : Strength training exercises in mathematics - From Terminale C to preparatory classes - Michel Miternique - book

Summary :

Most of the exercises covered in this book can be solved using the knowledge of the final year of science – this does not mean that they are applications of the course. Some have been the subject of oral tests in the competitive examinations for major scientific or business schools or have been set in the general mathematics competition, others are exercises from the CAPES oral examination.
This book is aimed at students considering studies where mathematics plays an important role.
The authors added theoretical definitions of continuity and limits, which are not included in the secondary school curriculum but are used in higher education. They also illustrated these definitions with appropriate exercises.
The authors have introduced some rudiments of logic in order to familiarize readers with the use of quantifiers.

SUMMARY

Preliminaries. A. Logic. B. Limits. C. Upper (or lower) bounds
I. Applications - Combinatorics. A. Applications. B. Combinatorics
II. Equations
III. Real functions. A. Limits – Continuity. B. Differentiability.
IV. Studies of functions. A. Generalities. B. Extensions by continuity. C. Functions defined by intervals. D. Functions whose derivative requires special study. E. Bijection. F. Families of curves depending on a parameter.
V. Integrals. A. Generalities – Various Calculations. B. Integration by Parts. C. Change of Variable. D. Functions Defined Using Integrals. E. Riemann Sums.
VI. Sequences. A. Generalities. B. Convergence, Limits. C. Recurrent Sequences. D. Adjacent Sequences.
VII. Barycenter.
VIII. Homotheties.
IX. Circles – Conics.
X. Isometries, Similarities
XI. Complex Numbers
XII. Arithmetic. A. GCD, LCM. B. Congruences. C. Prime Numbers
XIII. Probabilities

• Please note that some pages have been highlighted with highlighter or pencil, but this does not interfere with reading.
• EAN: 9782729888756
• Used book
• Book in good condition
• The book matches the photo