Read Mathematics of the 19th Century, Volume 2: Geometry, Analytic Function Theory

Mathematics of the 19th Century, Volume 2: Geometry, Analytic Function Theory

A.N. Kolmogorov

4.9/5 (34344 ratings)

Description:This book is the second volume of a study of the history of mathematics in the nineteenth century. The first part of the book describes the development of geometry. The many varieties of geometry are considered and three main themes are traced: the development of a theory of invariants and forms that determine certain geometric structures such as curves or surfaces; the enlargement of conceptions of space which led to non-Euclidean geometry; and the penetration of algebraic methods into geometry in connection with algebraic geometry and the geometry of transformation groups. The second part, on analytic function theory, shows how the work of mathematicians like Cauchy, Riemann and Weierstrass led to new ways of understanding functions. Drawing much of their inspiration from the study of algebraic functions and their integral, these mathematicians and others created a unified, yet comprehensive theory in which the original algebraic problems were subsumed in special areas devoted to elliptic, algebraic, Abelian and automorphic functions. The use of power series expansions made it possible to include completely general transcendental functions in the same theory and opened up the study of the very fertile subject of entire functions. This book will be a valuable source of information for the general reader, as well as historians of science. It provides the reader with a good understanding of the overall picture of these two areas in the nineteenth century and their significance today.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Mathematics of the 19th Century, Volume 2: Geometry, Analytic Function Theory. To get started finding Mathematics of the 19th Century, Volume 2: Geometry, Analytic Function Theory, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: 1996

ISBN: 3764350482

Description: This book is the second volume of a study of the history of mathematics in the nineteenth century. The first part of the book describes the development of geometry. The many varieties of geometry are considered and three main themes are traced: the development of a theory of invariants and forms that determine certain geometric structures such as curves or surfaces; the enlargement of conceptions of space which led to non-Euclidean geometry; and the penetration of algebraic methods into geometry in connection with algebraic geometry and the geometry of transformation groups. The second part, on analytic function theory, shows how the work of mathematicians like Cauchy, Riemann and Weierstrass led to new ways of understanding functions. Drawing much of their inspiration from the study of algebraic functions and their integral, these mathematicians and others created a unified, yet comprehensive theory in which the original algebraic problems were subsumed in special areas devoted to elliptic, algebraic, Abelian and automorphic functions. The use of power series expansions made it possible to include completely general transcendental functions in the same theory and opened up the study of the very fertile subject of entire functions. This book will be a valuable source of information for the general reader, as well as historians of science. It provides the reader with a good understanding of the overall picture of these two areas in the nineteenth century and their significance today.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Mathematics of the 19th Century, Volume 2: Geometry, Analytic Function Theory. To get started finding Mathematics of the 19th Century, Volume 2: Geometry, Analytic Function Theory, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Mathematics of the 19th Century, Volume 2: Geometry, Analytic Function Theory

Mathematics of the 19th Century, Volume 2: Geometry, Analytic Function Theory

More Books

Introductory Real Analysis (Dover Books on Mathematics)

Introductory Real Analysis (Dover Books on Mathematics)

An Introduction to Kolmogorov Complexity and Its Applications (Texts in Computer Science)

An Introduction to Kolmogorov Complexity and Its Applications (Texts in Computer Science)

Foundations of the Theory of Probability (AMS Chelsea Publishing)

Foundations of the Theory of Probability (AMS Chelsea Publishing)

Turbulence: The Legacy of A. N. Kolmogorov

Turbulence: The Legacy of A. N. Kolmogorov

Elements of the Theory of Functions and Functional Analysis [Two Volumes in One]

Elements of the Theory of Functions and Functional Analysis [Two Volumes in One]

Mathematics Of The 19th Century, Volume 1: Mathematical Logic, Algebra, Number Theory, Probability Theory

Mathematics Of The 19th Century, Volume 1: Mathematical Logic, Algebra, Number Theory, Probability Theory

Введение в теорию вероятностей

Введение в теорию вероятностей

Elements of the Theory of Functions and Functional Analysis, Vol. I: Metric and Normed Spaces

Elements of the Theory of Functions and Functional Analysis, Vol. I: Metric and Normed Spaces

Introductory Real Analysis (Dover Books on Mathematics) by A. N. Kolmogorov (2-Jan-2000) Paperback

Introductory Real Analysis (Dover Books on Mathematics) by A. N. Kolmogorov (2-Jan-2000) Paperback