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Introduction to Lattice Algebra

2021-08-23 Mathematics
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Release : 2021-08-23
Genre : Mathematics
Kind : eBook
Book Rating : 601/5 ( reviews)

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Book Synopsis Introduction to Lattice Algebra by : Gerhard X. Ritter

Download or read book Introduction to Lattice Algebra written by Gerhard X. Ritter. This book was released on 2021-08-23. Available in PDF, EPUB and Kindle. Book excerpt: Lattice theory extends into virtually every branch of mathematics, ranging from measure theory and convex geometry to probability theory and topology. A more recent development has been the rapid escalation of employing lattice theory for various applications outside the domain of pure mathematics. These applications range from electronic communication theory and gate array devices that implement Boolean logic to artificial intelligence and computer science in general. Introduction to Lattice Algebra: With Applications in AI, Pattern Recognition, Image Analysis, and Biomimetic Neural Networks lays emphasis on two subjects, the first being lattice algebra and the second the practical applications of that algebra. This textbook is intended to be used for a special topics course in artificial intelligence with a focus on pattern recognition, multispectral image analysis, and biomimetic artificial neural networks. The book is self-contained and – depending on the student’s major – can be used for a senior undergraduate level or first-year graduate level course. The book is also an ideal self-study guide for researchers and professionals in the above-mentioned disciplines. Features Filled with instructive examples and exercises to help build understanding Suitable for researchers, professionals and students, both in mathematics and computer science Contains numerous exercises.

Introduction to Lattices and Order

2002-04-18 Mathematics
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Release : 2002-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 523/5 ( reviews)

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Book Synopsis Introduction to Lattices and Order by : B. A. Davey

Download or read book Introduction to Lattices and Order written by B. A. Davey. This book was released on 2002-04-18. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.

Introduction to Lattices and Order

2002-04-18 Mathematics
Download Introduction to Lattices and Order PDF Online Free

Author :
Release : 2002-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 511/5 ( reviews)

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Book Synopsis Introduction to Lattices and Order by : B. A. Davey

Download or read book Introduction to Lattices and Order written by B. A. Davey. This book was released on 2002-04-18. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.

Lattices and Ordered Algebraic Structures

2005-04-18 Mathematics
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Release : 2005-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 055/5 ( reviews)

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Book Synopsis Lattices and Ordered Algebraic Structures by : T.S. Blyth

Download or read book Lattices and Ordered Algebraic Structures written by T.S. Blyth. This book was released on 2005-04-18. Available in PDF, EPUB and Kindle. Book excerpt: "The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS

Introduction to Lattice Theory

1965 Mathematics
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Release : 1965
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Introduction to Lattice Theory by : Daniel Edwin Rutherford

Download or read book Introduction to Lattice Theory written by Daniel Edwin Rutherford. This book was released on 1965. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of a course of lectures given in the University of St. Andrews and in the University of Notre Dame, Indiana. The study of lattice theory requires practically no previous mathematical knowledge, which makes the subject a very suitable one to introduce undergraduates to abstract algebra. The aim of the present work is to provide and introduction to the simpler parts of the subject, and to give an indication of its numerous applications.

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