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The Real and the Complex: A History of Analysis in the 19th Century
This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is un...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | Springer Undergraduate Mathematics Series,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-23715-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220115182804.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 151014s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783319237152 |9 978-3-319-23715-2 | ||
| 024 | 7 | |a 10.1007/978-3-319-23715-2 |2 doi | |
| 050 | 4 | |a QA331.7 | |
| 072 | 7 | |a PBKD |2 bicssc | |
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| 072 | 7 | |a PBKD |2 thema | |
| 082 | 0 | 4 | |a 515.9 |2 23 |
| 100 | 1 | |a Gray, Jeremy. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Real and the Complex: A History of Analysis in the 19th Century |h [electronic resource] / |c by Jeremy Gray. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a XVI, 350 p. 71 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Undergraduate Mathematics Series, |x 2197-4144 | |
| 505 | 0 | |a Lagrange and foundations for the calculus -- Joseph Fourier -- Legendre -- Cauchy and continuity -- Cauchy: differentiation and integration -- Cauchy and complex functions to 1830 -- Abel -- Jacobi -- Gauss -- Cauchy and complex function theory, 1830-1857 -- Complex functions and elliptic integrals -- Revision -- Gauss, Green, and potential theory -- Dirichlet, potential theory, and Fourier series -- Riemann -- Riemann and complex function theory -- Riemann's later complex function theory -- Responses to Riemann's work -- Weierstrass -- Weierstrass's foundational results -- Revision { and assessment -- Uniform Convergence -- Integration and trigonometric series -- The fundamental theorem of the calculus -- The construction of the real numbers -- Implicit functions -- Towards Lebesgue's theory of integration -- Cantor, set theory, and foundations -- Topology -- Assessment. | |
| 520 | |a This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subjects, in keeping with how they were seen at the time. It is suitable as a course in the history of mathematics for students who have studied an introductory course in analysis, and will enrich any course in undergraduate real or complex analysis. | ||
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Functions of real variables. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a History. | |
| 650 | 1 | 4 | |a Functions of a Complex Variable. |
| 650 | 2 | 4 | |a Real Functions. |
| 650 | 2 | 4 | |a History of Mathematical Sciences. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319237145 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319237169 |
| 830 | 0 | |a Springer Undergraduate Mathematics Series, |x 2197-4144 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-23715-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||