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# đź“™ Hidden harmony - geometric fantasies. The rise of complex function theory by Umberto Bottazzini, Jeremy Gray â€” download pdf

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â€‹This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject â€“ Cauchy, Riemann, and Weierstrass â€“ it looks at the contributions of authors from dâ€™Alembert to Hilbert, and Laplace to Weyl.

Particular chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been devoted to the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. The book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main actors lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions.

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- Series:
**Sources and Studies in the History of Mathematics and Physical Sciences** - Author:
**Umberto Bottazzini, Jeremy Gray** - Year:
**2013** - Publisher:
**Springer** - Language:
**English** - ISBN:
**1461457246,978-1-4614-5724-4,978-1-4614-5725-1**

- File size:
**5 737 125** - Format:
**pdf**

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This book provides a rigorous yet elementary introduction to the theory of analytic functions of a single complex variable. While presupposing in its readership a degree of mathematical maturity, it insists on no formal prerequisites beyond a sound knowle...

This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from t...

This is an expanded English-language version of a book by the same authors that originally appeared in the Japanese. The book serves two purposes. The first is to provide a self-contained and coherent account of recent developments in geometric function t...

The first contribution describes basic concepts, facts and problems of the modern theory of entire functions of several complex variables. The second contribution deals with analogies of basic Nevanlinna's theorems about the distribution of values in the ...

The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of ma...

Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics. After reviewing real Finsler geometry stressing global re...

Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. Functions of a Complex Variable: Theory and Technique is a book in a special category of influential classics because it is based ...

A new approach that treats complex analysis in a broad contextThis book presents a new approach to one of mathematics' oldest fields. It departs from the tradition of teaching complex analysis as a self-contained subject and, instead, treats the subject a...

This book collects the proceedings of the 2012 Abel Symposium, held at the Norwegian Academy of Science and Letters, Oslo. The Symposium, and this book, are focused on two important fields of modern mathematical analysis: operator-related function theory ...

Arnold Taylor, the leading expert on the subject, provides an authoritative guide to the castles, begun between 1277 and 1295, in a short compass. He deals with their joint and individual features, dates, planning and construction. ...

Livestock grazing is the most widespread commercial use of federal public lands. The image of a herd grazing on Bureau of Land Management or U.S. Forest Service lands is so traditional that many view this use as central to the history and culture of the W...

* A collection of research-oriented monographs, reports, notes arising from lectures or seminars* Quickly published concurrent with research* Easily accessible through international distribution facilities* Reasonably priced* Reporting research developmen...

The Welding Engineerâ€™s Guide to Fracture and Fatigue provides an essential introduction to fracture and fatigue and the assessment of these failure modes, through to the level of knowledge that would be expected of a qualified welding engineer. PartÂ one ...

This is a book of essays in honour of J.D.B.Miller and looks at the relationship between the West and the Third World. It looks especially at the liberal/democratic West in opposition to the communist East and that version of modernity which is represente...

This book is a comparative study of the role that domestic factors play in shaping the form and content of Western policy towards the Soviet Union. The countries whose policies are featured are Great Britain, France, the Federal Republic of Germany, Italy...