Real and the complex : a history of analysis in the 19th century /: a history of analysis in the 19th century. (2015)

• Record Type: Book
• Further Information: Note: Jeremy Gray.
• Authors: Gray, Jeremy
• Contents: 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.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Extent: 1 online resource
• Subjects: 515.9; Mathematics; Mathematical analysis -- History -- 19th century; Mathematical analysis; Calculus; Mathematics; Physical Sciences & Mathematics; Mathematics -- Mathematical Analysis; Mathematics -- History & Philosophy; Real analysis, real variables; History of mathematics; Functions of complex variables; Complex analysis, complex variables; History; Electronic books
• Languages: English
• ISBNs: 9783319237152; 3319237152
• Related ISBNs: 9783319237145; 3319237144
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed March 17, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.