| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA155.SPR. FCT 94569 (Browse shelf) | 1 | Available |
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| QA431.SPR. FCT 94558 Integral methods in science and engineering | QA402.3.SPR. FCT 94559 Max-plus methods for nonlinear control and estimation | QA445.SPR. FCT 94563 Geometric problems on maxima and minima | QA155.SPR. FCT 94569 Algebra | QA280.SPR. FCT 94572 Time series analysis and its applications | QA270.SPR. FCT 94573 The statistical analysis of interval-censored failure time data | QA402.5.SPR. FCT 94587 Combinatorial optimization |
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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, diophantine dimensions 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 the framework of the development of carefully selected problems. - Stefan Porubsky, Mathematical Reviews.
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