Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics (Universitext) 2008th Edition by Falko Lorenz (PDF)

Description

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read it without difficulty. It is recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume are the theory of ordered fields and Nullstellen Theorems. Known researcher Lorenz also includes the fundamentals of the theory of quadratic forms, of valuations, local fields and modules. What’s more, the book contains some lesser known or nontraditional results – for instance, Tsen’s results on the solubility of systems of polynomial equations with a sufficiently large number of indeterminates.

User’s Reviews

Editorial Reviews: Review From the reviews:“The approach taken by the author is very straightforward, both in its presentation of proofs and its examples. Unlike some books, it is very possible to teach yourself the subject using this book. … Out of all the books I used in undergrad, this one was one of my favorites because it was easy to use for reference and for independent learning. … Great foundation establishing book to start building in the domain of Abstract Algebra.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, May, 2014)”Algebra II: Fields with Structure, Algebras and Advanced Topics is … a complete algebra course, including both undergraduate and graduate topics. … The second volume focuses on fields with structure and algebras. … the choice of topics and their organization are excellent and provide a unifying view of most of algebra. In all, Lorenz’s book is a wonderful reference for both teachers and researches, and can be used with much profit for independent study by hard-working students.” (Luiz Hendrique de Figueiredo, MathDL, July, 2008)”The author has managed to cover such an amazing wealth of advanced material in a very adroit manner, thereby keeping the representation utmost lively, comprehensible, thorough, always straight to the point, essentially self-contained, methodologically elegant and – all in all – admirably reader-friendly. … No doubt, this is an outstanding textbook on advanced topics in abstract algebra, mainly in its field-theoretic and number-theoretic aspects, and its availability in English makes it a unique and utmost valuable enrichment of the international textbook literature on the subject.” (Werner Kleinert, Zentralblatt MATH, Vol. 1130 (8), 2008) From the Back Cover The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra.The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry.The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory.Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students. From Reviews of the German version:This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in theframework of the development of carefully selected problems.- Stefan Porubsky, Mathematical Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is the second of two volumes in algebra by Falko Lorenz. It covers material that goes beyond a standard course in field theory and its classical problems, including Galois theory. It is as easy to follow as Volume 1, despite the fact that the topics are advanced.

⭐Very cheap for an academic book. Love it. Hope to buy more in this bookstore. A friend recommend it to me, and I will recommend it to another friend.

⭐Nice book.

⭐Very advanced algebra

⭐

Keywords

Free Download Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics (Universitext) 2008th Edition in PDF format
Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics (Universitext) 2008th Edition PDF Free Download
Download Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics (Universitext) 2008th Edition 2008 PDF Free
Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics (Universitext) 2008th Edition 2008 PDF Free Download
Download Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics (Universitext) 2008th Edition PDF
Free Download Ebook Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics (Universitext) 2008th Edition