Goong Chen Boeken

Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science.Mathematics of Quantum Computation brings together leading computer scientists, mathematicians, and physicists to provide the first interdisciplinary but mathematically focused exploration of the field's foundations and state of the art. Each section of the book addresses an area of major research, and does so with introductory material that brings newcomers quickly up to speed. Chapters that are more advanced include recent developments not yet published in the open literature.Information technology will inevitably enter into the realm of quantum mechanics, and, more than all the atomic, molecular, optical, and nanotechnology advances, it is the device-independent mathematics that is the foundation of quantum computer and information science. Mathematics of Quantum Computation offers the first up-to-date coverage that has the technical depth and breadth needed by those interested in the challenges being confronted at the frontiers of research.

Focused on the theory of chaotic maps in finite-dimensional spaces, this book is structured around lecture notes from a graduate course. It includes ten chapters that explore one-dimensional dynamical systems, bifurcations, symbolic dynamics, and fractals, along with a novel perspective on rapid fluctuations in chaotic maps. Two appendices facilitate the transition from discrete to continuous-time dynamical systems, covering ordinary and partial differential equations. The comprehensive content is suitable for readers seeking a foundational understanding of dynamical systems and chaos.