Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebra write by I. Martin Isaacs. This book was released on 2009. Algebra available in PDF, EPUB and Kindle. as a student." --Book Jacket.
Graduate Algebra
Graduate Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Graduate Algebra write by Louis Halle Rowen. This book was released on 2006. Graduate Algebra available in PDF, EPUB and Kindle. This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Artinian modules, and the theory of graded algebras is included to provide the foundation for projective varieties. Major topics include the theory of modules over a principal ideal domain, and its applicationsto matrix theory (including the Jordan decomposition), the Galois theory of field extensions, transcendence degree, the prime spectrum of an algebra, localization, and the classical theory of Noetherian and Artinian rings. Later chapters include some algebraic theory of elliptic curves (featuring theMordell-Weil theorem) and valuation theory, including local fields. One feature of the book is an extension of the text through a series of appendices. This permits the inclusion of more advanced material, such as transcendental field extensions, the discriminant and resultant, the theory of Dedekind domains, and basic theorems of rings of algebraic integers. An extended appendix on derivations includes the Jacobian conjecture and Makar-Limanov's theory of locally nilpotent derivations. Grobnerbases can be found in another appendix. Exercises provide a further extension of the text. The book can be used both as a textbook and as a reference source.
Undergraduate Algebra
Undergraduate Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Undergraduate Algebra write by Serge Lang. This book was released on 2013-06-29. Undergraduate Algebra available in PDF, EPUB and Kindle. The companion title, Linear Algebra, has sold over 8,000 copies The writing style is very accessible The material can be covered easily in a one-year or one-term course Includes Noah Snyder's proof of the Mason-Stothers polynomial abc theorem New material included on product structure for matrices including descriptions of the conjugation representation of the diagonal group
Algebra: Chapter 0
Algebra: Chapter 0 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebra: Chapter 0 write by Paolo Aluffi. This book was released on 2021-11-09. Algebra: Chapter 0 available in PDF, EPUB and Kindle. Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.
A Book of Abstract Algebra
A Book of Abstract Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Book of Abstract Algebra write by Charles C Pinter. This book was released on 2010-01-14. A Book of Abstract Algebra available in PDF, EPUB and Kindle. 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.
