The current world financial scene indicates at an intertwined and interdependent relationship between financial market activity and economic health. This book explains how the economic messages delivered by the dynamic evolution of financial asset returns are strongly related to option prices. The Black Scholes framework is introduced and by underlining its shortcomings, an alternative approach…
The book offers a comprehensive report on the design and optimization of a thermochemical heat storage system for use in buildings. It combines theoretical and experimental work, with a special emphasis on model-based methods. It describes the numerical modeling of the heat exchanger, which allows recovery of about two thirds of the waste heat from both solar and thermal energy. The book also p…
Why do some countries' economies struggle to develop, even when they are the focus of so much research and international funding? While recognizing that the obstacles facing poor nations are many and complex, Rabie proposes that the roots of most obstacles are sociocultural; thus, sociocultural transformation and economic restructuring can only be successful when treated as interconnected, mutu…
Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of i…
This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to comp…
This book explains the standard Real Options Analysis (ROA) literature in a straightforward, step by step manner without the use of complex mathematics. A lot of ROA literature is described through partial differential equations, probability density functions and simulation techniques, all of which may be unconvincing in the applicable qualities ROA possesses. Using this book, the reader will h…
Why do some countries' economies struggle to develop, even when they are the focus of so much research and international funding? While recognizing that the obstacles facing poor nations are many and complex, Rabie proposes that the roots of most obstacles are sociocultural; thus, sociocultural transformation and economic restructuring can only be successful when treated as interconnected, mutu…
Thomas Malthus identified a crucial tension at the heart of a market economy: While an accumulation of wealth is necessary to provide the capital investment needed to generate growth, too much accumulation will cause planned saving to exceed profitable investment, which will result in secular stagnation, a condition of low growth and underemployment of resources. Keynes drew inspiration from Ma…
Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simp…
This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topi…