Author: James LockhartPublisher:
ISBN:
Category : Equations
Languages : en
Pages : 130
Book Description
Resolution of Equations
Author: James LockhartPublisher:
ISBN:
Category : Equations
Languages : en
Pages : 130
Book Description
The Complete Solution of Numerical Equations: in Which, by One Uniform Process, the Imaginary as Well as the Real Roots are Easily Determined
Author: William RUTHERFORD (LL.D., F.R.A.S.)Publisher:
ISBN:
Category :
Languages : en
Pages : 30
Book Description
Catalogue of Scientific Papers
Author: Bulletin of the American Mathematical Society
Author: Colorado College Publication
Author: Colorado CollegePublisher:
ISBN:
Category : Botany
Languages : en
Pages : 890
Book Description
A New Classified Catalogue of the Library of the Royal Institution of Great Britain, with Indexes of Authors and Subjects, and a List of Historical Pamphlets, Chronologically Arranged
Author: Royal Institution of Great Britain. LibraryPublisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 960
Book Description
A New Classified Catalogue of the Library of the Royal Institution of Great Britain
Author: Royal Institution of Great Britain. LibraryPublisher:
ISBN:
Category :
Languages : en
Pages : 978
Book Description
A New Classified Catalogue of the Library of the Royal Institution of Great-Britain
Author: Benjamin VincentMild Differentiability Conditions for Newton's Method in Banach Spaces
Author: José Antonio Ezquerro FernandezPublisher: Springer Nature
ISBN: 3030487024
Category : Mathematics
Languages : en
Pages : 189
Book Description
In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authors’ technique relies on the construction of a scalar sequence, not majorizing, that satisfies a system of recurrence relations, and guarantees the convergence of the method. The application is user-friendly and has certain advantages over Kantorovich’s majorant principle. First, it allows generalizations to be made of the results obtained under conditions of Newton-Kantorovich type and, second, it improves the results obtained through majorizing sequences. In addition, the authors extend the application of Newton’s method in Banach spaces from the modification of the domain of starting points. As a result, the scope of Kantorovich’s theory for Newton’s method is substantially broadened. Moreover, this technique can be applied to any iterative method. This book is chiefly intended for researchers and (postgraduate) students working on nonlinear equations, as well as scientists in general with an interest in numerical analysis.
A History of Abstract Algebra
Author: Jeremy GrayPublisher: Springer
ISBN: 3319947737
Category : Mathematics
Languages : en
Pages : 412
Book Description
This textbook provides an accessible account of the history of abstract algebra, tracing a range of topics in modern algebra and number theory back to their modest presence in the seventeenth and eighteenth centuries, and exploring the impact of ideas on the development of the subject. Beginning with Gauss’s theory of numbers and Galois’s ideas, the book progresses to Dedekind and Kronecker, Jordan and Klein, Steinitz, Hilbert, and Emmy Noether. Approaching mathematical topics from a historical perspective, the author explores quadratic forms, quadratic reciprocity, Fermat’s Last Theorem, cyclotomy, quintic equations, Galois theory, commutative rings, abstract fields, ideal theory, invariant theory, and group theory. Readers will learn what Galois accomplished, how difficult the proofs of his theorems were, and how important Camille Jordan and Felix Klein were in the eventual acceptance of Galois’s approach to the solution of equations. The book also describes the relationship between Kummer’s ideal numbers and Dedekind’s ideals, and discusses why Dedekind felt his solution to the divisor problem was better than Kummer’s. Designed for a course in the history of modern algebra, this book is aimed at undergraduate students with an introductory background in algebra but will also appeal to researchers with a general interest in the topic. With exercises at the end of each chapter and appendices providing material difficult to find elsewhere, this book is self-contained and therefore suitable for self-study.