"Version: 20240901"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Fundamental nonlinear Schr?odinger equation -- 2.1. Introduction -- 2.2. NLSE with cubic nonlinearity3. Nonlinear Schr?odinger equation with power law and dual power law nonlinearities -- 3.1. Introduction -- 3.2. NLSE with power law nonlinearity -- 3.3. Summary of section 3.2 -- 3.4. NLSE with dual …
"Version: 20241201"--Title page verso.Includes bibliographical references.1. Functionally graded micro and nanostructures : introduction, modeling, and applications / Rakhi Tiwari, Santwana Mukhopadhyay and Ahmed Abouelregal -- 2. Flexural characteristics of functionally graded Timoshenko-Ehrenfest nanobeam / S. Ali Faghidian -- 3. Free vibration of functionally graded strain gradient nanobeams…
"Version: 20231101"--Title page verso.Includes bibliographical references.part 1. Foundation and Hands-on experiment of Fourier transform. 1. The principle of superposition and the Fourier series -- 1.1. The principle of superposition -- 1.2. One-dimensional standing wave -- 1.3. Fourier series -- 1.4. Orthonormal basis -- 1.5. Heat and diffusion equations -- 1.6. Two-dimensional standing wave …
"Version: 20241201"--Title page verso.Includes bibliographical references and index.1. Functions of complex variables -- 2. Boundary value problems -- 3. Riemann boundary value problem -- 4. Riemann boundary value problem with discontinuous coefficients and closed contours -- 5. Mechanical applications -- 6. Taylor and Laurent series and the residue theory -- 7. Singular points -- 8. Residues o…
"Version: 20250601"--Title page verso.Includes bibliographical references.1. Introduction -- part I. Mathematical theory of composite materials. 2. Material properties and governing equations -- 2.1. Introduction -- 2.2. Conductivity and elasticity -- 2.3. Abstract Hilbert space framework -- 2.4. Boundary value problems -- 2.5. The compensated compactness property -- 2.6. Geometry of local spac…
"Version: 20241201"--Title page verso.Includes bibliographical references.1. The Linux/Unix operating system -- 1.1. Introduction -- 1.2. Files and directories -- 1.3. Overview of Unix/Linux commands -- 1.4. Basic commands -- 1.5. More on the C-shell2. Text editors -- 2.1. Vi -- 2.2. Emacs3. The Fortran 90 programming language -- 3.1. Introduction -- 3.2. Compilers -- 3.3. Program layout -- 3.4…
"Version: 20140301"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.Nonlinearity in classical mechanics -- A pendulum -- Vibration by a nonlinear spring force -- A jumping rope -- Hyperbolic and elliptic functions -- Variation principle -- Buckling deformation of a rodWave propagation, singularities and bou…
"Version: 20150301"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.Preface -- Acknowledgements -- Author biography -- An overview of SMath Suite -- What is SMath Suite? -- How do I get SMath Suite? -- How can I get help with SMath? -- The SMath interface -- Constructing regions -- Greek characters -- Optio…
"Version: 20180601"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.1. Propositional algebra -- 1.1. Propositions -- 1.2. Logical operators -- 1.3. Notes on notation -- 1.4. The T and F symbols -- 1.5. Properties of logical operators [not sign], [vel], and [wedge] -- 1.6. The [turnstile] symbol2. Predicate logic -- 2.1. What is predicate logi…
"Version: 20180801"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. Two-dimensional Boussinesq equation. Boussinesq paradigm and soliton solutions -- 1.1. Boussinesq equations. Generalized wave equation -- 1.2. Investigation of the long-time evolution of localized solutions of a dispersive wave system --…