Umberto Bottazzini,Jeremy Gray's Hidden Harmony—Geometric Fantasies: The Rise of Complex PDF

By Umberto Bottazzini,Jeremy Gray

​This publication is a historical past of advanced functionality idea from its origins to 1914, while the fundamental positive factors of the trendy idea have been in position. it's the first historical past of arithmetic dedicated to complicated functionality thought, and it attracts on a variety of released and unpublished resources. as well as an in depth and distinctive assurance of the 3 founders of the topic – Cauchy, Riemann, and Weierstrass – it appears on the contributions of authors from d’Alembert to Hilbert, and Laplace to Weyl.

Particular chapters learn the increase and value of elliptic functionality concept, differential equations within the advanced area, geometric functionality concept, and the early years of complicated functionality idea in different variables. specified emphasis has been dedicated to the construction of a textbook culture in complicated research by means of contemplating a few seventy textbooks in 9 diverse languages. The ebook isn't a trifling series of disembodied effects and theories, yet deals a finished photo of the wide cultural and social context within which the most actors lived and labored by means of being attentive to the increase of mathematical faculties and of contrasting nationwide traditions.

The booklet is unmatched for its breadth and intensity, either within the middle idea and its implications for different fields of arithmetic. It records the motivations for the early rules and their sluggish refinement right into a rigorous theory.​

Show description

Read or Download Hidden Harmony—Geometric Fantasies: The Rise of Complex Function Theory (Sources and Studies in the History of Mathematics and Physical Sciences) PDF

Similar number theory books

Download e-book for iPad: Birational Geometry, Rational Curves, and Arithmetic (Simons by Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel

​​​​This publication positive aspects fresh advancements in a speedily becoming region on the interface of higher-dimensional birational geometry and mathematics geometry.  It makes a speciality of the geometry of areas of rational curves, with an emphasis on functions to mathematics questions.  Classically, mathematics is the examine of rational or indispensable strategies of diophantine equations and geometry is the research of traces and conics.

Download e-book for kindle: Analytic Number Theory, Approximation Theory, and Special by Gradimir V. Milovanović,Michael Th. Rassias

This e-book, in honor of Hari M. Srivastava, discusses crucial advancements in mathematical learn in a number of difficulties. It comprises thirty-five articles, written via eminent scientists from the overseas mathematical neighborhood, together with either examine and survey works. matters lined contain analytic quantity conception, combinatorics, precise sequences of numbers and polynomials, analytic inequalities and purposes, approximation of services and quadratures, orthogonality and distinctive and intricate features.

Download e-book for kindle: L-Functions and Arithmetic (London Mathematical Society by J. Coates,M. J. Taylor

This quantity is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of numerous brief classes, geared toward proposing rigorous yet non-technical expositions of the newest study parts, and a couple of person lectures on particular subject matters. The members are all striking figures within the region of algebraic quantity conception and this quantity may be of lasting worth to scholars and researchers operating within the region.

Read e-book online Quadratic Residues and Non-Residues: Selected Topics PDF

This ebook deals an account of the classical idea of quadratic residues and non-residues with the aim of utilizing that idea as a lens by which to view the improvement of a few of the elemental equipment hired in smooth straight forward, algebraic, and analytic quantity conception. the 1st 3 chapters current a few uncomplicated proof and the heritage of quadratic residues and non-residues and talk about quite a few proofs of the legislations of Quadratic Reciprosity intensive, with an emphasis at the six proofs that Gauss released.

Additional resources for Hidden Harmony—Geometric Fantasies: The Rise of Complex Function Theory (Sources and Studies in the History of Mathematics and Physical Sciences)

Sample text

Download PDF sample

Hidden Harmony—Geometric Fantasies: The Rise of Complex Function Theory (Sources and Studies in the History of Mathematics and Physical Sciences) by Umberto Bottazzini,Jeremy Gray


by Kevin
4.3

Rated 4.86 of 5 – based on 28 votes