Books by Sergio E Serrano

LEARN TO PROFIT FROM THE NATURAL CYCLES OF THE STOCK MARKET.¿ A simple introduction to the connection between planetary orbits in the solar system and periodic cycles in the Dow Jones Industrial Average (DJIA).¿ An illustrated account of the relation between the stock market and astronomical cycles.¿ Applications to portfolio rebalance and the timing of strategic buying/selling of assets for individual investors. ¿ A new application of the science of astronomy - not astrology- to the analysis/forecasting of economic indices. ¿ 48 graphics clearly show the relation between the DJIA and astronomical events. ¿ 120 years of market data are investigated for correlation with periodic fluctuations in astronomical positions and other events in the solar system. ¿ Simple introduction of the basics of investment, portfolio design, and management. ¿ Includes a simple illustrated introduction to essential astronomy relevant to this study.

An introduction to ordinary differential equations and systems of ordinary differentialequations, including new analytical methods to solve nonlinear equations, mathematical modeling, computer programming, computer graphics with MAPLE, and applications in science and engineering."... a new textbook that will thoroughly revolutionize the teaching and learning of differential equations with the vital goal of student retention always in sight." Dr. Randolph Rach, original coauthor of the Adomian's Decomposition Method. New modern methods to solve nonlinear differential equations. Integrated, balanced presentation of model development, solution methods, computer implementation, and analysis of system's response. Designed to increase engineering and science student retention. Mathematical and computer modeling with MAPLE. No prior knowledge of MAPLE required. Emphasis on problem solving over mathematical rigorousness. Clear and simple presentation of concepts with multitude of examples:125 solved examples, 70 computer programs, 146 proposed problems, 17 illustrations, 118 computer graphs, answers to problems, detailed bibliography. Preference of general, systematic, analytical methods over complex numerical methods. Self contained. Except for calculus, all necessary background is included.