Galois Theory And Applications: Solved Exercises And Problems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Galois Theory And Applications: Solved Exercises And Problems PDF full book. Access full book title Galois Theory And Applications: Solved Exercises And Problems by Mohamed Ayad. Download full books in PDF and EPUB format.
Author: Mohamed Ayad
Publisher: World Scientific Publishing Company
ISBN: 9813238321
Category : Mathematics
Languages : en
Pages : 450
Get Book Here
Book Description
'Ayad’s aim was to create a collection of problems and exercises related to Galois Theory. In this Ayad was certainly successful. Galois Theory and Applications contains almost 450 pages of problems and their solutions. These problems range from the routine and concrete to the very abstract. Many are quite challenging. Some of the problems provide accessible presentations of material not normally seen in a first course on Galois Theory. For example, the chapter 'Galois extensions, Galois groups' begins with a wonderful problem on formally real fields that I plan on assigning to my students this fall.'MAA ReviewsThe book provides exercises and problems with solutions in Galois Theory and its applications, which include finite fields, permutation polynomials, derivations and algebraic number theory.It will be useful to the audience below:
Author: Mohamed Ayad
Publisher: World Scientific Publishing Company
ISBN: 9813238321
Category : Mathematics
Languages : en
Pages : 450
Get Book Here
Book Description
'Ayad’s aim was to create a collection of problems and exercises related to Galois Theory. In this Ayad was certainly successful. Galois Theory and Applications contains almost 450 pages of problems and their solutions. These problems range from the routine and concrete to the very abstract. Many are quite challenging. Some of the problems provide accessible presentations of material not normally seen in a first course on Galois Theory. For example, the chapter 'Galois extensions, Galois groups' begins with a wonderful problem on formally real fields that I plan on assigning to my students this fall.'MAA ReviewsThe book provides exercises and problems with solutions in Galois Theory and its applications, which include finite fields, permutation polynomials, derivations and algebraic number theory.It will be useful to the audience below:
Author: Juliusz Brzeziński
Publisher: Springer
ISBN: 331972326X
Category : Mathematics
Languages : en
Pages : 296
Get Book Here
Book Description
This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). In addition to covering standard material, the book explores topics related to classical problems such as Galois’ theorem on solvable groups of polynomial equations of prime degrees, Nagell's proof of non-solvability by radicals of quintic equations, Tschirnhausen's transformations, lunes of Hippocrates, and Galois' resolvents. Topics related to open conjectures are also discussed, including exercises related to the inverse Galois problem and cyclotomic fields. The author presents proofs of theorems, historical comments and useful references alongside the exercises, providing readers with a well-rounded introduction to the subject and a gateway to further reading. A valuable reference and a rich source of exercises with sample solutions, this book will be useful to both students and lecturers. Its original concept makes it particularly suitable for self-study.
Author: Lisl Gaal
Publisher: American Mathematical Soc.
ISBN: 0821813757
Category : Mathematics
Languages : en
Pages : 258
Get Book Here
Book Description
Galois theory is one of the most beautiful subjects in mathematics, but it is heard to appreciate this fact fully without seeing specific examples. Numerous examples are therefore included throughout the text, in the hope that they will lead to a deeper understanding and genuine appreciation of the more abstract and advanced literature on Galois theory. This book is intended for beginning graduate students who already have some background in algebra, including some elementary theoryof groups, rings and fields. The expositions and proofs are intended to present Galois theory in as simple a manner as possible, sometimes at the expense of brevity. The book is for students and intends to make them take an active part in mathematics rather than merely read, nod their heads atappropriate places, skip the exercises, and continue on to the next section.
Author: Patrick Morandi
Publisher: Springer Science & Business Media
ISBN: 1461240409
Category : Mathematics
Languages : en
Pages : 294
Get Book Here
Book Description
In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. In the back of my mind, I thought it would be nice someday to write a book on field theory, one of my favorite mathematical subjects, and I wrote a crude form of lecture notes that semester. Those notes sat undisturbed for three years until late in 1993 when I finally made the decision to turn the notes into a book. The notes were greatly expanded and rewritten, and they were in a form sufficient to be used as the text for Math 581 when I taught it again in the fall of 1994. Part of my desire to write a textbook was due to the nonstandard format of our graduate algebra sequence. The first semester of our sequence is field theory. Our graduate students generally pick up group and ring theory in a senior-level course prior to taking field theory. Since we start with field theory, we would have to jump into the middle of most graduate algebra textbooks. This can make reading the text difficult by not knowing what the author did before the field theory chapters. Therefore, a book devoted to field theory is desirable for us as a text. While there are a number of field theory books around, most of these were less complete than I wanted.
Author: D. J. H. Garling
Publisher: Cambridge University Press
ISBN: 9780521312493
Category : Mathematics
Languages : en
Pages : 180
Get Book Here
Book Description
This textbook, based on lectures given over a period of years at Cambridge, is a detailed and thorough introduction to Galois theory.
Author: Jean-Pierre Serre
Publisher: CRC Press
ISBN: 1439865256
Category : Mathematics
Languages : en
Pages : 136
Get Book Here
Book Description
This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt constructi
Author: John M. Howie
Publisher: Springer Science & Business Media
ISBN: 1852339861
Category : Mathematics
Languages : en
Pages : 230
Get Book Here
Book Description
A modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis on clear explanations Features plenty of worked examples and exercises, complete with full solutions, to encourage independent study Previous books by Howie in the SUMS series have attracted excellent reviews
Author: Charles C Pinter
Publisher: Courier Corporation
ISBN: 0486474178
Category : Mathematics
Languages : en
Pages : 402
Get Book Here
Book Description
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Author: Marius van der Put
Publisher: Springer Science & Business Media
ISBN: 3642557503
Category : Mathematics
Languages : en
Pages : 446
Get Book Here
Book Description
From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews
Author: Ian Stewart
Publisher: CRC Press
ISBN: 1000644065
Category : Mathematics
Languages : en
Pages : 386
Get Book Here
Book Description
Since 1973, Galois theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fifth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students. New to the Fifth Edition Reorganised and revised Chapters 7 and 13 New exercises and examples Expanded, updated references Further historical material on figures besides Galois: Omar Khayyam, Vandermonde, Ruffini, and Abel A new final chapter discussing other directions in which Galois theory has developed: the inverse Galois problem, differential Galois theory, and a (very) brief introduction to p-adic Galois representations This bestseller continues to deliver a rigorous, yet engaging, treatment of the subject while keeping pace with current educational requirements. More than 200 exercises and a wealth of historical notes augment the proofs, formulas, and theorems.
