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5 produkter
5 produkter
1 391 kr
Skickas inom 10-15 vardagar
This volume deals with Gleason's theorem and Gleason's measures and indicates the many ways in which they can be applied. The book comprises five chapters. Chapter 1 is devoted to elements of Hilbert space theory. Chapter 2 is devoted to quantum logic theory. Gleason's theorem is described and proved in Chapter 3, together with proofs for measures that can attain infinite values. In Chapter 4 the possibility of applying Gleason's theorem to the completeness criteria of inner product spaces is addressed. Chapter 5 discusses orthogonal measures and the unexpected possibility of describing states on Keller spaces, as well as other applications. Throughout the book, important facts and concepts are illustrated by exercises. For mathematicians and physicists interested in the mathematical foundations of quantum mechanics, and those whose work involves non-commutative measure theory, orthomodular lattices, Hilbert space theory and probability theory.
1 072 kr
Skickas inom 10-15 vardagar
This monograph deals with results concerning different types of quantum structures. This is an interdisciplinary realm joining mathematics, logic and fuzzy reasoning with mathematical foundations of quantum mechanics, and covers many applications. The book consists of seven chapters. The first four chapters are devoted to difference posets and effect algebras; MV-algebras and quantum MV-algebras, and their quotients; and to tensor product of difference posets. Chapters five and six discuss BCK-algebras with their applications. Chapter seven addresses Loomis-Sikorski-type theorems for MV-algebras and BCK-algebras. Throughout the text facts and concepts are illustrated by exercises.
590 kr
Skickas inom 5-8 vardagar
This book offers a comprehensive and in-depth exploration of hoop theory, a fascinating branch of algebra with deep connections to logic and other areas of mathematics. Among algebraic structures, hoops stand out as a rich subject of study, bridging the worlds of residuated lattices, BL-algebras, MV-algebras, and related systems. Starting with fundamental concepts of algebraic and lattice-theoretical structures, the book gradually delves into the core theory of hoops, investigating their algebraic structure, properties, and relationships with other algebraic systems. Significant attention is also devoted to the lattice-theoretical properties of hoops, and the interplay between algebraic and logical perspectives is emphasized. This book is intended for advanced undergraduates with a background in algebra and logic, Ph.D. students, and researchers. Featuring a number of examples and exercises, it serves as a valuable resource for those seeking a comprehensive and in-depth understanding of hoop theory and its applications.
1 391 kr
Skickas inom 10-15 vardagar
This volume deals with Gleason's theorem and Gleason's measures and indicates the many ways in which they can be applied. The book comprises five chapters. Chapter 1 is devoted to elements of Hilbert space theory. Chapter 2 is devoted to quantum logic theory. Gleason's theorem is described and proved in Chapter 3, together with proofs for measures that can attain infinite values. In Chapter 4 the possibility of applying Gleason's theorem to the completeness criteria of inner product spaces is addressed. Chapter 5 discusses orthogonal measures and the unexpected possibility of describing states on Keller spaces, as well as other applications. Throughout the book, important facts and concepts are illustrated exercises. For mathematicians and physicists interested in the mathematical foundations of quantum mechanics, and those whose work involves noncommutative measure theory, orthomodular lattices. Hilbert space theory and probability theory.
1 072 kr
Skickas inom 10-15 vardagar
This monograph deals with the latest results concerning different types of quantum structures. This is an interdisciplinary realm joining mathematics, logic and fuzzy reasoning with mathematical foundations of quantum mechanics, and the book covers many applications. The book consists of seven chapters. The first four chapters are devoted to difference posets and effect algebras; MV-algebras and quantum MV-algebras, and their quotients; and to tensor product of difference posets. Chapters 5 and 6 discuss BCK-algebras with their applications. Chapter 7 addresses Loomis-Sikorski-type theorems for MV-algebras and BCK-algebras. Throughout the book, important facts and concepts are illustrated by exercises. Audience: This book will be of interest to mathematicians, physicists, logicians, philosophers, quantum computer experts, and students interested in mathematical foundations of quantum mechanics as well as in non-commutative measure theory, orthomodular lattices, MV-algebras, effect algebras, Hilbert space quantum mechanics, and fuzzy set theory.