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Mathematica Militaris, The Bulletin of the Mathematical Sciences Departments of the Federal Service Academies, Vol. 20, Issue 1, Summer 2011, ; The Department of Applied Mathematics has the longest history of any department at the Naval Postgraduate School and traces its roots to the appointment of Ensign Guy K. Calhoun as Professor of Mathematics in 1910.

Sustainability and Discounted Utilitarianism -- Appendix: The Ramsey Problem -- An Introductory Model with Education and Skilled Labor -- Appendix: Proofs -- Sustainability for a Warming World -- Appendix: Proofs -- The "Climate Change Economics" Literature: Nordhaus and Stern -- Sustainability in a Warming, Two-Region World -- Appendix: Formal Details -- Modeling Catastrophes: Two Extensions -- Appendix: Proofs and Calibration -- Conclusion -- Appendix A: Calibration -- Appendix B: Mathematica Code.

International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020), on-line conference. July 9-10, 2020. 10 páginas, 10 figuras. ; Due to the Bologna Accord, the teaching of mathematics has undergone importantchanges. Some of the most visible modifications have been the need to complementthe traditional teaching-learning process with practical, real-life cases and thepossibility to reinforce the introduction and usage of key concepts throughmathematical software.Nowadays, there exist many computational packagesdealing with mathematics, some of the best-known being Mathematica and Matlab.However, although they are very complete and powerful, they demand the use ofcommercial licences, which can be a problem for some education institutions orin the cases where students desire to use the software in an unlimited number ofdevices or to access from several of them simultaneously.In this article, we show how to apply GeoGebra and WolframAlpha to the processof teaching Calculus to first-year university students.While GeoGebra is aninteractive geometry, algebra, statistics, and calculus application available both asan online resource and a native application in Windows, macOS, and Linux systems,WolframAlpha is a computational knowledge engine developed by a subsidiaryof Wolfram Research, the company behind Mathematica. However, unlike thatproduct, WolframAlpha can be accessed by any individual as a web service free ofcharge. One of the key aspects of WolframAlpha is the possibility to use naturallanguage and Mathematica syntax for requesting computations, which allows usersto benefit from a large amount of Mathematica resources.Being able to use GeoGebra and WolframAlpha as web services withoutdownloading and installing software is another important advantage, as it avoidsthe need to have adminstrator rights to use those computational engines, whichtypically represents a problem in education centres where lab computers arelocked so students cannot inadvertently install malware that can compromise theuniversity's network.As the best way to show a topic in mathematics is to provide examples,this contribution focuses on the main topics associated to a first-year Calculus class (limits, continuity, derivatives, curve interpolation and integrals), providingexamples with GeoGebra and WolframAlpha for the computations and concreteexamples used in actual Calculus classes. ; This work was supported in part by the Ministerio de Economía, Industria y Competitividad (MINECO), in part by the Agencia Estatal de Investigación (AEI), in part by the Fondo Europeo de Desarrollo Regional (FEDER, UE) under Project COPCIS, Grant TIN2017-84844-C2-1-R, and in part by the Erasmus+ program of the European Union under grant 2017-1-ES01-KA203-038491(RULES_MATH). Víctor Gayoso Martínez would like to thank CSIC Project CASP2/201850E114 for its support.

This work is partially supported by the Spanish Government through the Ministerio de Ciencia e Innovación, the Comunidad de Madrid, and the project i-Math Ingenio Mathematica. This work has been carried out within the framework of the Atlantida project, partially funded by the Spanish Centro para el Desarrollo Tecnológico e Industrial, in which the Universidad Rey Juan Carlos is collaborating with GVM Aerospace and Defence. ; Publicado

McKone has recently proposed an innovative two‐layer model for dermal uptake of organic chemicals from a soil matrix that explicitly includes variables for properties of the chemical, the soil, the skin, and the exposure. In this note, we investigate the joint time‐ and loading‐dependencies implicit in the model by using MATHEMATICA to find and plot a closed‐form function for the uptake fraction for six aromatic hydrocarbons.

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In this article, we analyses electroosmosis augmented MHD peristaltic transport of SWCNTs suspension in porous media, the basic equations have been constructed under assumptions of low Reynolds number and long wave length. The exact solution by the regular perturbation technique are obtained and the flow qualities have been plotting by using MATHEMATICA software for all the figures. Series solution for stream function, pressure gradient and temperature distribution have been computed in the peristaltic transport in an asymmetric channel

This paper proposes extending the MVK carcinogenesis model by adopting the Erlang distribution for the life length of the intermediate cells. The investigation concentrates on the survival function and the mean value functions. The approach is basically numerical, making use of the Mathematica software system. The paper also provides a closed form expression for the survival function for a variation of the original MVK model, where all the model parameters are piecewise constants.

Intro -- Contents -- Preface -- Introduction -- 1. Sustainability and Discounted Utilitarianism -- Chapter 1 Appendix: The Ramsey Problem -- 2. An Introductory Model with Education and Skilled Labor -- Chapter 2 Appendix: Proofs -- 3. Sustainability for a Warming World -- Chapter 3 Appendix: Proofs -- 4. The "Climate-Change Economics" Literature: Nordhaus and Stern -- 5. Sustainability in a Warming, Two-Region World -- Chapter 5 Appendix: Formal Details -- 6. Modeling Catastrophes: Two Extensions -- Chapter 6 Appendix: Proofs and Calibration -- Conclusion -- Appendix A: Calibration -- Appendix B: Mathematica Code -- References -- Index.

Japanese economists began publishing scientific papers in renowned journals including Econometrica in the 1950s and had made their significant contributions to the sophistication of general equilibrium analysis by intensive use of a variety of mathematical instruments. They had contributed significantly to the transformation of neoclassical economics. This book examines how it became possible for Japanese economists to do so by shedding light on the ""professional"" discussion of the international gold standard and parity policies in the early twentieth century, the acceptance of ""mathematica

This work is partially supported by the Spanish Government through the Ministerio de Ciencia e Innovación, the Comunidad de Madrid, the project i-Math Ingenio Mathematica, and the project Optimización en Computación en Paralelo de Planificación bajo Incertidumbre under grant no. MTM2009-14087-C04-01. This work has been carried out within the framework of the Atlantida project, partially funded by the Spanish Centro para el Desarrollo Tecnológico e Industrial, in which the Universidad Rey Juan Carlos collaborated with GMVAerospace and Defence S.A. ; Publicado