Xinyu Liu – författare

Chalcogenide: From 3D to 2D and Beyond reviews graphene-like 2D chalcogenide systems that include topological insulators, interesting thermoelectric structures, and structures that exhibit a host of spin phenomena that are unique to 2D and lower-dimensional geometries. The book describes state-of-the-art materials in growth and fabrication, magnetic, electronic and optical characterization, as well as the experimental and theoretical aspects of this family of materials. Bulk chalcogenides, chalcogenide films, their heterostructures and low-dimensional chalcogenide-based quantum structures are discussed. Particular attention is paid to findings that are relevant to the continued search for new physical phenomena and new functionalities.

Finally, the book covers the enormous opportunities that have emerged as it has become possible to achieve lower-dimensional chalcogenide structures by epitaxial techniques.

The book presents the mathematical view and tools of computer programming with broad and friendly context. It explains the basic concepts such as recursion, computation model, types, data, and etc. The book serves as an introductory and reference guide to the engineers, students, researchers, and professionals who are interested in functional programming, type system, and computer programming languages.

The book covers seven topics. Firstly, it lays out the number system based on Peano Axioms and demonstrates the isomorphic computer data structures. Then, it introduces Lambda calculus as a computing model and recursion, an important programming structure, with the Y-combinator. It next presents the basic abstract algebra, including group and fields, and provides a friendly introduction to Galois theory. After that, it uses category theory as a tool to explain several concepts in computer programming, including the type system, polymorphism, null handler, and recursive data types, then followed by an application of program optimization. In the last two chapters, the author shows how to program with the concept of infinity through stream and lazy evaluation, and then explains the naïve set theory and transfinite numbers, from which the logic paradox arises. Finally, it introduces four historical views of mathematical foundation, as well as Gödel’s incompleteness theorems developed in 1930s, and how they define the boundaries of computer programming. Additionally, the book provides biographies, stories, and anecdotes of 25 mathematicians, along with over 130 exercises and their corresponding answers.