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Author: Marc RocheFce Writing Masterclass
Author: Marc RochePublisher: Independently Published
ISBN: 9781731075291
Category :
Languages : en
Pages : 144
Book Description
Graduate Algebra
Author: Louis Halle RowenPublisher: American Mathematical Soc.
ISBN: 0821805703
Category : Mathematics
Languages : en
Pages : 438
Book Description
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 applications to 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 the Mordell-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. Grobner bases 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.
Soil Survey
Author: Representations and Invariants of the Classical Groups
Author: Roe GoodmanPublisher: Cambridge University Press
ISBN: 9780521663489
Category : Mathematics
Languages : en
Pages : 708
Book Description
More than half a century has passed since Weyl's 'The Classical Groups' gave a unified picture of invariant theory. This book presents an updated version of this theory together with many of the important recent developments. As a text for those new to the area, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.
Compact First Student's Book without Answers with CD-ROM
Author: Peter MayPublisher: Cambridge University Press
ISBN: 1107428424
Category : Foreign Language Study
Languages : en
Pages : 129
Book Description
Highly focused preparation for the revised 2015 Cambridge English: First (FCE) course in 50-60 core hours. This Student's Book without answers provides B2-level students with thorough preparation and practice needed for exam success. Ten units cover all four exam papers in a step-by-step approach. 'Quick steps' and Writing, Speaking and Listening guides explain what to expect in the exam, and provide strategies on approaching each paper, model answers, useful expressions and further practice. The CD-ROM provides interactive grammar, vocabulary and writing practice. Two complete practice tests are available online for teachers to access. Recordings for the Listening exercises are found on the Class Audio CDs or in the Student's Book Pack, available separately.
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