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Mathematics emerging : a sourcebook 1540-1900 /
This book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations. - ;A...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Oxford University Press,
2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Stedall, Jacqueline A. | |
| 245 | 1 | 0 | |a Mathematics emerging : |b a sourcebook 1540-1900 / |c Jacqueline Stedall. |
| 260 | |a Oxford ; |a New York : |b Oxford University Press, |c 2008. | ||
| 300 | |a 1 online resource (xxi, 653 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references (pages 635-648) and index. | ||
| 505 | 0 | |a Acknowledgements; Introduction; 1 BEGINNINGS; 2 FRESH IDEAS; 3 FORESHADOWINGS OF CALCULUS; 4 THE CALCULUS OF NEWTON AND OF LEIBNIZ; 5 THE MATHEMATICS OF NATURE: NEWTON'S PRINCIPIA; 6 EARLY NUMBER THEORY; 7 EARLY PROBABILITY; 8 POWER SERIES; 9 FUNCTIONS; 10 MAKING CALCULUS WORK; 11 LIMITS AND CONTINUITY; 12 SOLVING EQUATIONS; 13 GROUPS, FIELDS, IDEALS, AND RINGS; 14 DERIVATIVES AND INTEGRALS; 15 COMPLEX ANALYSIS; 16 CONVERGENCE AND COMPLETENESS; 17 LINEAR ALGEBRA; 18 FOUNDATIONS; People, institutions, and journals; Bibliography; Index. | |
| 520 | |a This book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations. - ;Aimed at students and researchers in Mathematics, History of Mathematics and Science, this book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Mathematics has an amazingly long and rich history, it has been practised in every society and culture, wi. | ||
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
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| 650 | 0 | |a Mathematics |x History. | |
| 650 | 6 | |a Mathématiques |x Histoire. | |
| 650 | 7 | |a MATHEMATICS |x History & Philosophy. |2 bisacsh | |
| 650 | 7 | |a Mathematics |2 fast | |
| 655 | 7 | |a History |2 fast | |
| 758 | |i has work: |a Mathematics emerging (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFWRY8KgBH6Y7KRVg4gVG3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Stedall, Jacqueline A. |t Mathematics emerging. |d Oxford ; New York : Oxford University Press, 2008 |z 9780199226900 |z 0199226903 |w (DLC) 2008300729 |w (OCoLC)248980897 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=415528 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 13.1.1 Cauchy's early work on permutations, 1815 -- 13.1.2 The Premier mémoire of Galois, 1831 -- 13.1.3 Cauchy's return to permutations, 1845 -- 13.1.4 Cayley's contribution to group theory, 1854 -- 13.2 Fields, ideals, and rings -- 13.2.1 'Galois fields', 1830 -- 13.2.2 Kummer and ideal numbers, 1847 -- 13.2.3 Dedekind on fields of finite degree, 1877 -- 13.2.4 Dedekind's definition of ideals, 1877 -- 14 DERIVATIVES AND INTEGRALS -- 14.1 Derivatives -- 14.1.1 Landen's algebraic principle, 1758 -- 14.1.2 Lagrange's derived functions, 1797 -- 14.1.3 Ampère's theory of derived functions, 1806 -- 14.1.4 Cauchy on derived functions, 1823 -- 14.1.5 The mean value theorem, and ε, δ notation, 1823 -- 14.2 Integration of real-valued functions -- 14.2.1 Euler's introduction to integration, 1768 -- 14.2.2 Cauchy's definite integral, 1823 -- 14.2.3 Cauchy and the fundamental theorem of calculus, 1823 -- 14.2.4 Riemann integration, 1854 -- 14.2.5 Lebesgue integration, 1902 -- 15 COMPLEX ANALYSIS -- 15.1 The Complex Plane -- 15.1.1 Wallis's representations, 1685 -- 15.1.2 Argand's representation, 1806 -- 15.2 Integration of complex functions -- 15.2.1 Johann Bernoulli's transformations, 1702 -- 15.2.2 Cauchy on definite complex integrals, 1814 -- 15.2.3 The calculus of residues, 1826 -- 15.2.4 Cauchy's integral formulas, 1831 -- 15.2.5 The Cauchy-Riemann equations, 1851 -- 16 CONVERGENCE AND COMPLETENESS -- 16.1 Cauchy sequences -- 16.1.1 Bolzano and 'Cauchy sequences', 1817 -- 16.1.2 Cauchy's treatment of sequences and series, 1821 -- 16.1.3 Abel's proof of the binomial theorem, 1826 -- 16.2 Uniform convergence -- 16.2.1 Cauchy's erroneous theorem, 1821 -- 16.2.2 Stokes and 'infinitely slow' convergence, 1847 -- 16.3 Completeness of the real numbers -- 16.3.1 Bolzano and greatest lower bounds, 1817 -- 16.3.2 Dedekind's definition of real numbers, 1858. | |
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