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Author: Jean-Pierre Escofier Publisher: Springer Science & Business Media ISBN: 0387987657 Category : Mathematics Languages : en Pages : 302
Book Description
This book offers the fundamentals of Galois Theory, including a set of copious, well-chosen exercises that form an important part of the presentation. The pace is gentle and incorporates interesting historical material, including aspects on the life of Galois. Computed examples, recent developments, and extensions of results into other related areas round out the presentation.
Author: Jean-Pierre Escofier Publisher: Springer Science & Business Media ISBN: 0387987657 Category : Mathematics Languages : en Pages : 302
Book Description
This book offers the fundamentals of Galois Theory, including a set of copious, well-chosen exercises that form an important part of the presentation. The pace is gentle and incorporates interesting historical material, including aspects on the life of Galois. Computed examples, recent developments, and extensions of results into other related areas round out the presentation.
Author: Emmanuele DiBenedetto Publisher: Springer Science & Business Media ISBN: 0817646485 Category : Mathematics Languages : en Pages : 364
Book Description
* Offers a rigorous mathematical treatment of mechanics as a text or reference * Revisits beautiful classical material, including gyroscopes, precessions, spinning tops, effects of rotation of the Earth on gravity motions, and variational principles * Employs mathematics not only as a "unifying" language, but also to exemplify its role as a catalyst behind new concepts and discoveries
Author: Sergio Amat Publisher: Springer ISBN: 331939228X Category : Mathematics Languages : en Pages : 286
Book Description
This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical modeling. In particular, a wide range of problems in Applied Mathematics and in Engineering can be solved by finding the solutions to these equations. The book reveals the importance of studying convergence aspects in iterative methods and shows that selection of the most efficient and robust iterative method for a given problem is crucial to guaranteeing a good approximation. A number of sample criteria for selecting the optimal method are presented, including those regarding the order of convergence, the computational cost, and the stability, including the dynamics. This book will appeal to researchers whose field of interest is related to nonlinear problems and equations, and their approximation.
Author: Francesco dell'Isola Publisher: Springer Nature ISBN: 3030805506 Category : Science Languages : en Pages : 377
Book Description
This book evaluates the importance of various historical sources and discusses their role in the creation and transmission of scientific knowledge. It presents an annotated translation of the introductory words given by Johan Ludvig Heiberg to his translation of the works of Archimedes. Further, it offers English translations of and commentaries on selected fundamental works by Ernst Hellinger and Gabrio Piola, which lay the groundwork for the modern theory of advanced materials, and also examines the criteria used to evaluate scientific works.
Author: Jörg Bewersdorff Publisher: American Mathematical Soc. ISBN: 1470465000 Category : Education Languages : en Pages : 217
Book Description
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations. Few prerequisites are needed beyond general college mathematics, since the necessary ideas and properties of groups and fields are provided as needed. Results in Galois theory are formulated first in a concrete, elementary way, then in the modern form. Each chapter begins with a simple question that gives the reader an idea of the nature and difficulty of what lies ahead. The applications of the theory to geometric constructions, including the ancient problems of squaring the circle, duplicating the cube, and trisecting the angle, and the construction of regular n n-gons are also presented. This new edition contains an additional chapter as well as twenty facsimiles of milestones of classical algebra. It is suitable for undergraduates and graduate students, as well as teachers and mathematicians seeking a historical and stimulating perspective on the field.
Author: Michael John Petry Publisher: Springer Science & Business Media ISBN: 9401116628 Category : Philosophy Languages : en Pages : 636
Book Description
It could certainly be argued that the way in which Hegel criticizes Newton in the Dissertation, the Philosophy of Nature and the lectures on the History of Philosophy, has done more than anything else to prejudice his own reputation. At first sight, what we seem to have here is little more than the contrast between the tested accomplishments of the founding father of modern science, and the random remarks of a confused and somewhat disgruntled philosopher; and if we are persuaded to concede that it may perhaps be something more than this - between the work of a clearsighted mathematician and experimentalist, and the blind assertions of some sort of Kantian logician, blundering about among the facts of the real world. By and large, it was this clear-cut simplistic view of the matter which prevailed among Hegel's contemporaries, and which persisted until fairly recently. The modification and eventual transformation of it have come about gradually, over the past twenty or twenty-five years. The first full-scale commentary on the Philosophy of Nature was published in 1970, and gave rise to the realization that to some extent at least, the Hegelian criticism was directed against Newtonianism rather than the work of Newton himself, and that it tended to draw its inspiration from developments within the natural sciences, rather than from the exigencies imposed upon Hegel's thinking by a priori categorial relationships.
Author: Art Knoebel Publisher: Springer Science & Business Media ISBN: 0387330623 Category : Mathematics Languages : en Pages : 346
Book Description
Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.
Author: Jean-Pierre Escofier
Author: Jean-Pierre Escofier
Author: 
Author: Emmanuele DiBenedetto
Author: Sergio Amat
Author: Francesco dell'Isola
Author: Jörg Bewersdorff
Author: Institution of Civil Engineers (Great Britain)
Author: Henry Sotheran Ltd
Author: Michael John Petry
Author: Art Knoebel