Group-Theoretic Methods in Mechanics and Applied Mathematics Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. For the first time this book gives the systematic group analysis of main postulates of classical and relativistic mechanics. The consistent presentation of Lie group theory is illustrated by plentiful examples. Symmetries and conservation laws of differential equations are studied. Specific equations and problems of mechanics and physics are considered and exact solutions are given for the following equations: dynamics of rigid body heat transfer wave hydrodynamics Thomas-Fermi and more. The author pays particular attention to the application of group analysis to developing asymptotic methods of applied mathematics in problems with small parameter. The methods are used to solve basic equations (Van Der Pol's equation Duffing equation etc. ) encountered in the theory of nonlinear oscillations. This book is intended for a wide range of scientists engineers and students in the fields of applied mathematics mechanics and physics. | Group-Theoretic Methods in Mechanics and Applied Mathematics GBP 56.99 1
2D Monoelemental Materials (Xenes) and Related Technologies Beyond Graphene Monoelemental 2D materials called Xenes have a graphene-like structure intra-layer covalent bond and weak van der Waals forces between layers. Materials composed of different groups of elements have different structures and rich properties making Xenes materials a potential candidate for the next generation of 2D materials. 2D Monoelemental Materials (Xenes) and Related Technologies: Beyond Graphene describes the structure properties and applications of Xenes by classification and section. The first section covers the structure and classification of single-element 2D materials according to the different main groups of monoelemental materials of different components and includes the properties and applications with detailed description. The second section discusses the structure properties and applications of advanced 2D Xenes materials which are composed of heterogeneous structures produced by defects and regulated by the field. Features include: Systematically detailed single element materials according to the main groups of the constituent elements Classification of the most effective and widely studied 2D Xenes materials Expounding upon changes in properties and improvements in applications by different regulation mechanisms Discussion of the significance of 2D single-element materials where structural characteristics are closely combined with different preparation methods and the relevant theoretical properties complement each other with practical applications Aimed at researchers and advanced students in materials science and engineering this book offers a broad view of current knowledge in the emerging and promising field of 2D monoelemental materials. | 2D Monoelemental Materials (Xenes) and Related Technologies Beyond Graphene GBP 115.00 1