Pages: 280
ISBN: 978-981-12-8700-8 (hardcover)
ISBN: 978-981-12-8740-4 (softcover)
The first industrial revolution was accompanied by the emergence of the School of Engineering, the second brought about the School of Electrical Engineering, and the third digital revolution led to the School of Information. It is now obvious that the change in this quantum revolution must lead to the emergence of the School of Quantum Science and Technology. Quantum technology can develop comprehensively through the integration of science, technology, engineering, art and mathematics (STEAM). In 1925, Heisenberg developed the Matrix Mechanics, cracking the mysteries of the Quantum world. Coinciding with the 100th anniversary of Matrix Mechanics, in 2024, the General Assembly of the United Nations proclaimed 2025 the "International Year of Quantum Science and Technology," along with a year-long initiative celebrating the profound impacts of quantum science on technology, culture, and our understanding of the natural world.
This book outlines the importance of the "Second Quantum Revolution," introduces quantum computers, quantum communications, and quantum sensors, and then provides a framework for the emergence of the quantum Internet of Things. What basic quantum literacy should modern citizens have in this era? The "Second Quantum Revolution," where quantum knowledge and engineering technology are once again combined, will provide faster, more effective, and more sensitive quantum facilities to accelerate cross-field exploration, and will also make human life more comfortable and convenient than ever before.
In the "First Quantum Revolution" in the 20th century, humans learned quantum science from nature and used existing materials to make quantum components. In the "Second Quantum Revolution" in the 21st century, humans further used quantum science to construct quantum engineering. We now make materials and components that are not found in nature and assemble new quantum machines to benefit mankind! This is the stage of a glorious quantum era, which is a hundred times more brilliant than the past classical physics era.
Preface
Quantum Supremacy Has Arrived
History of Quantum Theory and Related Concepts
High-Dimensional Hilbert Space
Reversible Quantum Operations
Qubits and Quantum Computers
Quantum Algorithm
Quantum Machine Learning and its Applications
Quantum Metrology and Quantum Sensors
Quantum Communication and Quantum Internet
Quantum Education and the Future of the World
Appendices:
Current Status of Quantum Technologies Worldwide
The Progress of Quantum Computer for Major Companies
General science popular book for self-motivated people who wish to know more about quantum applications. Anyone who wish to have general and broad views of quantum technology. Recommend to Library.
Advanced Series on Mathematical Psychology: Volume 7
Pages: 364
ISBN: 978-981-12-8047-4 (hardcover)
Founded in 1985 by Jean-Claude Falmagne and Jean-Paul Doignon, Knowledge Structure Theory (KST) constitutes a rigorous and current mathematical theory for the representation and the assessment of human knowledge. The seminal work of these authors initiated a highly active research strand with an ever-growing literature, mostly scattered across various technical journals.
Starting from a concise but comprehensive introduction to its foundations, this volume provides a state-of-the-art review of KST. For the first time the volume brings together the most important theoretical developments and extensions of the last decade and presents new areas of application beyond education, with contributions by key researchers in the field.
Among the important advances covered by this book are (1) a comprehensive treatment of probabilistic models in KST; (2) polytomous extensions of the theory; (3) KST-based psychological diagnostics and neuropsychological assessment; (4) the representation and assessment of cognitive skills in problem solving, as well as procedural skills. In addition, this book also includes an overview of available software for the application of KST.
Basics of Knowledge Structure Theory:
Knowledge Structures and Their Competence-Based Extension (J Heller, L Stefanutti)
Probabilistic Knowledge Structures (S Noventa, J Heller)
Knowledge Structures and Related Theories (P Anselmi, S Noventa, J Heller)
Applying and Validating Knowledge Structures:
Innovative Methods for Building Knowledge Structures (D de Chiusole, A Spoto, L Stefanutti)
Parameter Estimation and Model Validation (J Heller, L Stefanutti, P Anselmi, D de Chiusole)
Identifiability in Probabilistic Knowledge Structures (J Heller, L Stefanutti, A Spoto)
Adaptive Assessment (P Anselmi, D de Chiusole, J Heller)
Modeling Learning in Knowledge Structures (P Anselmi, L Stefanutti)
Extensions of Knowledge Structure Theory:
Assessment Structures (J Heller)
Polytomous Knowledge Structures (J Heller, L Stefanutti)
Procedural KST and Problem Spaces (L Stefanutti, A Brancaccio, D de Chiusole)
Software Packages for Knowledge Structure Theory (A Brancaccio, D de Chiusole, F Wickelmaier)
(1) Researchers in education, psychometrics, pyschological testing, and technology-enhanced learning; (2) researchers in cognitive assessment and/or cognitive modelling; (3) researchers interested in the applications of knowledge structure theory as a innovative alternative to trandtional approaches in many domains including pyschometrics, data analysis, medical diagnostics, and psychology; (4) background materials for advanced courses on psychometrics, data analysis, or cognitive psychology; (5) secondary market: libraries of universties, and educational research instutitions.
Pages: 272
Algebra and Discrete Mathematics: Volume 5
ISBN: 978-981-12-8659-9 (hardcover)
Definitions
Bieberbach Theorems
Classification Methods
Flat Manifolds with b1 = 0
Outer Automorphism Groups
Spin Structures and Dirac Operator
Flat Manifolds with Complex Structures
Crystallographic Groups as Isometries of
Hantzsche-Wendt Groups
Combinatorial Hantzsche-Wendt Groups
Open Problems
Researchers in geometry and topology, algebra and theory students, Institutes
of Crystallography, University Chemistry departments.
Pages: 484
ISBN: 978-981-12-9133-3 (hardcover)
This is a textbook on basic to intermediate mathematics for undergraduate students majoring in the physical sciences and engineering. Many chapters, covering topics like Green's functions, calculus of variations, and functions of a complex variable, are well-suited for graduate classes. Additionally, researchers can benefit from the book as a mathematical refresher for their professional work.
The book provides readers with a fundamental understanding of underlying principles, using derivations based more on mathematical intuition rather than exposing them to multiple theorems, proofs, and lemmas. Each chapter includes highly relevant examples with detailed solutions and explanations, promoting a practical application of knowledge to real problems in the physical sciences. For the convenience of both students and instructors, there are end-of-chapter exercises with answers that can be easily utilized for assignments.
The book is not a replacement for calculus textbooks, but rather a guide to the mathematics most relevant to the physical sciences and engineering.
In conclusion, this book can be readily adapted for upper-level undergraduate and graduate classes, particularly those focusing on mathematical methods for students in physical sciences, applied mathematics, and engineering majors.
Infinite Series
Complex Numbers
Vectors
Matrices
Partial Differentiation
Line Integrals and Multiple Integrals
Fourier Series and Transforms
First-Order Ordinary Differential Equations
Second-Order Linear Differential Equations
The Green's Function Method
Calculus of Variations
Functions of Complex Variables
Advanced undergraduate and graduate students majoring in science and engineering; researchers in science and engineering looking to refresh their mathematical knowledge for practical applications
Problem Solving in Mathematics and Beyond
Pages: 320
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The quadrilateral, one of the basic instruments in geometry, has a plethora of unexpected curiosities. The authors present these in an easily understood fashion, requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.
The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating quadrilateral properties.
Introduction
Geometric Curiosities
Proofs of the Geometric Curiosities
A Mathematics Toolbox
The book is intended for the general readership, mathematics teachers, and mathematicians interested in extending their appreciation for geometry.
Pages: 440
ISBN: 978-981-12-9155-5 (hardcover)
The main subject of our book is to use the (p, p(x) and p(x))-bi-Laplacian operator in some partial differential systems, where we developed and obtained many results in quantitative and qualitative point of view.
Introduction
Love-Type Waves with Past History
Viscoelastic Wave Equation with Power Nonlinearity
Plate Equation in
Nonexistence of Global Solutions for Nonlinear Equation via Contradiction Argument
Nonlinear Wave p-Laplace Equation
Nonlinear Kirchhoff-Type Equations with Kelvinoigt Damping in Variable Exponents
Nonlocal Systems Involving the p(x)-Laplacian Operator
Dynamics of a Coupled System for Nonlinear Damped Wave Equations with Variable Exponents
Pseudo-Parabolic Equations with p(x) Bi-Laplacian
The book is suitable for researchers in PDEs, mathematics, physics, biology, chemistry, and informatics. It can be used for some courses for master degree in mathematics and PhD students.