Go to main content

Real and the complex [electronic resource] : a history of analysis in the 19th century / Jeremy Gray.

Gray, Jeremy, author.
2015
QA300
Available Online
Formats
Format
BibTeX
MARCXML
TextMARC
MARC
DublinCore
EndNote
NLM
RefWorks
RIS
Add to Basket
Cite
Citation

Linked e-resources

Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks

Details

Title
Real and the complex [electronic resource] : a history of analysis in the 19th century / Jeremy Gray.
Author
Gray, Jeremy, author.
ISBN
9783319237152 electronic book
3319237152 electronic book
9783319237145
3319237144
DOI
https://doi.org/10.1007/978-3-319-23715-2
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-319-23715-2 doi
Call Number
QA300
Dewey Decimal Classification
515.9
Summary
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.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 17, 2016).
Series
Springer undergraduate mathematics series.
Available in Other Form
Print version: 9783319237145
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
Lagrange and foundations for the calculus
Joseph Fourier
Legendre
Cauchy and continuity
Cauchy: differentiation and integration
Cauchy and complex functions to 1830
Abel
Jacobi
Gauss
Cauchy and complex function theory, 1830-1857
Complex functions and elliptic integrals
Revision
Gauss, Green, and potential theory
Dirichlet, potential theory, and Fourier series
Riemann
Riemann and complex function theory
Riemann's later complex function theory
Responses to Riemann's work
Weierstrass
Weierstrass's foundational results
Revision { and assessment
Uniform Convergence
Integration and trigonometric series
The fundamental theorem of the calculus
The construction of the real numbers
Implicit functions
Towards Lebesgue's theory of integration
Cantor, set theory, and foundations
Topology
Assessment.

Browse Subjects

Show more subjects...

Statistics

from
to
Export