"I view it as an extremely valuable addition to my library and a book that I am sure I will consult frequently in the future: this is a text that should serve well as a desk reference for a faculty member teaching either analysis (real or complex) or the history of mathematics. Certainly, no good university library should be without it." (Mark Hunacek, MAA Reviews, maa.org, January, 2017) "The Real and the Complex ... develops the subject of analysis by reviewing the works of some of the prominent mathematicians of the 19th century. ... Summing Up: Recommended. Upper-division undergraduates, graduate students, researchers/faculty, professionals/practitioners." (M. D. Sanford, Choice, Vol. 53 (9), May, 2016) "This is a history book on the development of mathematics in the 19th century. Each chapter is built up around one or a few mathematicians. ... this book is not only an interesting read for the students who (have to) study it, but equally valuable for professional mathematicians." (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, February, 2016)

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.

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.

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Introduces key ideas in real and complex analysis in the manner they were discovered Motivates and explains many related developments in neighbouring fields, including number theory, elliptic function theory, and potential theory Displays many examples illustrating the merits of rigorous analysis Includes supplementary material: sn.pub/extras
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9783319237145
Publisert
2015-11-05
Utgiver
Springer International Publishing AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Upper undergraduate, UU, UP, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
16

Forfatter