Wyniki wyszukiwania:

This book provides an introduction to functional analysis for non-experts in mathematics. As such, it is distinct from most other books on the subject that are intended for mathematicians. Concepts are explained concisely with visual materials, making it accessible for those unfamiliar with graduate-level mathematics. Topics include topology, vector spaces, tensor spaces, Lebesgue integrals, and operators, to name a few. Two central issues the theory of Hilbert space and the operator theory and how they relate to quantum physics are covered extensively. Each chapter explains, concisely,...

Carbon nanotubes offer huge potential in so many fields due in part to their significant mechanical properties, including extraordinary rigidity, resilience, toughness, and flexibility. Mechanical deformation of carbon nanotubes is known to cause considerable changes in their physical and chemical properties through the nontrivial structure-property correlation. A strong understanding of their deformation mechanism and available geometry is, therefore, crucial to developing nanotube-based applications. This book concentrates on the remarkable mechanical properties of carbon nanotubes,...

Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are:

- Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis,...