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"ABSTRACTLow carbon design is a process of contradiction coordination, which involves multiple factors and necessitates abundantdesign knowledge and rules. We proposed the method that integrated the case based reasoning CBR method and extension theory to achieve low carbo design for products. In this paper, our work is on analyzing the design constraints, and carbon design for products. In this paper, our work is on analyzing the design contraints, and constructing the parameters modeling for representation of product cases. Firstly, we discussed the correlation among factors, and mapped the requirement onto the detailed physical structure. Secondly, we integrated the improved activitybased costing and carbon method and the indirect calculation method to estimate the carbon footprint and cost of each phase in product life cycle. We adopted the basic element model to represent the product cases and used the dependent function to discriminate the extent of compliance with the requirement. In final, the applicability of proposed method was demonstrated through a case study of a screw air compressor."

"This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics."

"This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations. The text is divided into two parts, part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty."

"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. "