An Excursion through Elementary Mathematics, Volume I Real Numbers and Functions /

• Κύριος συγγραφέας: Caminha Muniz Neto, Antonio (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Problem Books in Mathematics,
• Θέματα: Mathematics.; Algebra.; Matrix theory.; Functions of real variables.; Real Functions.; General Algebraic Systems.; Linear and Multilinear Algebras, Matrix Theory.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This first volume covers Re...

Πίνακας περιεχομένων:

• Chapter 1 The Set of Real Numbers
• Chapter 2 Algebraic Identities, Equations and Systems
• Chapter 3 Elementary Sequences
• Chapter 4 Induction and the Binomial Formula
• Chapter 5 Elementary Inequalities
• Chapter 6 The Concept of Function
• Chapter 7 More on Real Numbers
• Chapter 8 Continuous Functions
• Chapter 9 Limits and Derivatives
• Chapter 10 Riemann’s Integral
• Chapter 11 Series of Functions
• Bibliography
• Appendix A Glossary
• Appendix B Hints and Solutions.