With an emphasis on elucidating the why's of mathematics, this book covers the study of functions of a real variable, motivating students about the abstract concepts and helping them to overcome their aversion for abstraction.
Alongside the answers this books provides, there are exercises designed to encourgae students to engage with and apply apply their understanding.
Table of Contents
• Preface • Symbols • Nature of Mathematics in General • Nature of Calculus in General • Sequences and Series • Continuity and Derivatives • Integration • Applications of Integrals • Appendix Construction of Real Numbers • Appendix Construction of Ifinitesimals • Answers to Exercises • Index.