Analysis by Its History (Undergraduate Texts in Mathematics / Readings in Mathematics)
Hairer, Ernst, Wanner, Gerhard
Idioma: inglés
Editorial: Springer, 1996
- Tapa dura
- Usado
Librería: Wonder Book, Frederick, MD, Estados Unidos de AmericaWonder Book
Vendedor de IberLibro desde 1 de noviembre de 1997
Condición: Usado - Como Nuevo
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Like New condition. A near perfect copy that may have very minor cosmetic defects.
N° de ref. del artículo SB06OS-01779
- Título
- Analysis by Its History (Undergraduate Texts in Mathematics / Readings in Mathematics)
- Autor
- Hairer, Ernst, Wanner, Gerhard
- Editorial
- Springer
- Año de publicación
- 1996
- Estado
- As New
- Encuadernación
- Encuadernación de tapa dura
- Idioma
- inglés
- ISBN 10
- 0387945512
- ISBN 13
- 9780387945514
- Serie
- Libro 27 de 170: Undergraduate Texts in Mathematics
This book presents first-year calculus roughly in the order in which it was first 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. Many quotations are included to give the flavor of the history. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.
“Sinopsis” puede pertenecer a otra edición de este título.
De la contraportada
This book presents first-year calculus roughly in the order in which it first was 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 enjoyable reading for students, teachers, as well as researchers.
From the reviews:
The aim of this interesting new contribution to the series Readings in Mathematics is an attempt to restore the historical order in the presentation of basic mathematical analysis...such a historical approach can provide a very fruitful and interesting approach to mathematical analysis.
- Jean Mawhin, Zentralblatt
The authors include a large number of once-traditional subjects which have now vanished from the analysis curriculum, at least in the standard American courses. Thus we find continued fractions, elliptic integrals, the Euler-MacLaurin summation formula, etc., most of which are found only in more compendious works. Many of the exercises are inspired by original papers, with the bibliographic references sometimes given. The work is very well illustrated. The book is definitely an analysis text, rather than a history, but a great deal of reliable historical material is included. For those seeking an alternative to the traditional approach, it seems to me to be of great interest.
- Thomas Archibald, Mathematical Reviews
The authors...have assembled an impressive array of annotated results, quotations, tables, charts, figures and drawings, many copied from original documents....they write with great enthusiasm and with evident affection for both analysis and history.
- John Troutman, American Mathematical Monthly
“Acerca de” puede pertenecer a otra edición de este título.
Wonder Book
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Vendedor de IberLibro desde 1 de noviembre de 1997
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