# Bernhard Riemann 1826–1866: Turning Points in the Conception of Mathematics (Modern Birkhäuser Classics) epub download

### by Abe Shenitzer,Detlef Laugwitz

Laugwitz describes Riemann’s development of a conceptual approach to mathematics at a time when conventional .

Laugwitz describes Riemann’s development of a conceptual approach to mathematics at a time when conventional algorithmic thinking dictated that formulas and figures, rigid constructs, and transformations of terms were the only legitimate means of studying mathematical objects. David Hilbert gave prominence to the Riemannian principle of utilizing thought, not calculation, to achieve proofs .

Bernhard Riemann 1826–186. has been added to your Cart

Bernhard Riemann 1826–186. has been added to your Cart. Laugwitz describes Riemann’s development of a conceptual approach to mathematics at a time when conventional algorithmic thinking dictated that formulas and figures, rigid constructs, and transformations of terms were the only legitimate means of studying mathematical objects. Hermann Weyl interpreted the Riemann principle ― for mathematics and physics alike ― to be a matter of "understanding the world through its behavior in the infinitely small.

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Detlef Laugwitz, Abe Shenitzer. The name of Bernard Riemann is well known to mathematicians and physicists around the world.

Detlef Laugwitz, Abe Shenitzer. College students encounter the Riemann integral early in their studies. Real and complex function theories are founded on Riemann’s work . It is highly recommended.

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Modern Birkh~user Classics. Turning Points in the Conception of Mathematics. BERNHARD RIEMANN (1826-1866). Bernhard R~. o. emann.

He points out the parallel between Klein’s attempted classication and the twentieth-century systematization of Bourbaki, wisely noting, We realize the fruitfulness of bringing conceptually distinct things under one roof but also the dangers of dogmatism.

Bernhard Riemann (1826-1866) is a central figure in the history of.The 1999 translation by Abe Shenitzer into English is especially welcome.

Bernhard Riemann (1826-1866) is a central figure in the history of mathematics. Laugwitz's 1996 book in German is an excellent place to begin a study of his life, work, and influence. The 1999 translation by Abe Shenitzer into English is especially welcome, because previous works by Riemann or directly related to Riemann are mainly in German. Laugwitz's book is divided into five parts with titles and approximate page lengths as follows. 0. Introduction (60) 1. Complex Analysis (120) 2. Real Analysis (40) 3. Geometry; Physics; Philosophy (70) 4 Turning points in the conception of mathematics (50). Throughout the book, a single theme is hit hard.

The works of early contributors to the mechanistic view are examined for instances of contribution from commercial experience to the modern notion of general magnitude and its relevance for physics and away from Euclidean mathematical concepts. Considerations on the use of mathematics in modeling activities.

The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann’s work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.

**ISBN13:** 978-0817647766

**ISBN:** 0817647767

**Author: ** Abe Shenitzer,Detlef Laugwitz

**Category: ** Math and Science

**Subcategory: ** Mathematics

**Language: ** English

**Publisher: ** Birkhäuser (January 21, 2008)

**Pages: ** 357 pages

**ePUB size:** 1115 kb

**FB2 size:** 1300 kb

**Rating: ** 4.3

**Votes: ** 282

**Other Formats: ** doc rtf lrf mobi