This book presents first-year calculus roughly in the order in which it firstwas discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyablereading for students, teachers, as well as researchers. Aims at presenting stimulating and enjoyable coverage of the topics. Presents topics in the historical order it was developed in, showing how the ideas inspired further development of each topic. Many quotations are included to give the flavor of the history INDICE: Preface. Introduction to Analysis of the Infinite. Differential and Integral Calculus. Foundations of Classical Analysis. Calculus in Several Variables. Appendix. References. Symbol Index. Index.
- ISBN: 978-0-387-77031-4
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 385
- Fecha Publicación: 01/03/2008
- Nº Volúmenes: 1
- Idioma: Inglés