A First Course in Abstract Algebra

A First Course in Abstract Algebra
Author: John B. Fraleigh
Publisher: Addison-Wesley Longman
Total Pages: 584
Release: 1994
Genre: Mathematics
ISBN:

Taking a classical approach to abstract algebra while integrating current applications of the subject, the new edition of this bestselling algebra text remains easily accessible and interesting. The book includes a review chapter covering basic linear algebra and proofs plus historical notes written by Victor Katz, an authority in the history of mathematics.

Markedness Theory

Markedness Theory
Author: Edna Andrews
Publisher: Duke University Press
Total Pages: 234
Release: 1990-05-09
Genre: Literary Criticism
ISBN: 0822382881

Edna Andrews clarifies and extends the work of Roman Jakobson to develop a theory of invariants in language by distinguishing between general and contextual meaning in morphology and semantics. Markedness theory, as Jakobson conceived it, is a qualitative theory of oppositional binary relations. Andrews shows how markedness theory enables a linguist to precisely define the systemically given oppositions and hierarchies represented by linguistic categories. In addition, she redefines the relationship between Jakobsonian markedness theory and Peircean interpretants. Though primarily theoretical, the argument is illustrated with discussions about learning a second language, the relationship of linguistics to mathematics (particularly set theory, algebra, topology, and statistics) in their mutual pursuit of invariance, and issues involving grammatical gender and their implications in several languages.

Proofs and Fundamentals

Proofs and Fundamentals
Author: Ethan D. Bloch
Publisher: Springer Science & Business Media
Total Pages: 434
Release: 2013-12-01
Genre: Mathematics
ISBN: 1461221307

The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.

The Modern Algebra of Information Retrieval

The Modern Algebra of Information Retrieval
Author: Sándor Dominich
Publisher: Springer Science & Business Media
Total Pages: 333
Release: 2008-04-03
Genre: Computers
ISBN: 3540776591

This book takes a unique approach to information retrieval by laying down the foundations for a modern algebra of information retrieval based on lattice theory. All major retrieval methods developed so far are described in detail, along with Web retrieval algorithms, and the author shows that they all can be treated elegantly in a unified formal way, using lattice theory as the one basic concept. The book’s presentation is characterized by an engineering-like approach.

Abstract Algebra with Applications

Abstract Algebra with Applications
Author: Audrey Terras
Publisher: Cambridge University Press
Total Pages: 331
Release: 2019
Genre: Mathematics
ISBN: 1107164079

This text offers a friendly and concise introduction to abstract algebra, emphasizing its uses in the modern world.

Introduction to Smooth Manifolds

Introduction to Smooth Manifolds
Author: John M. Lee
Publisher: Springer Science & Business Media
Total Pages: 646
Release: 2013-03-09
Genre: Mathematics
ISBN: 0387217525

Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why