Mathematical Models In Science PDF Download
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| Author | : Olav Arnfinn Laudal |
| Publisher | : World Scientific |
| Total Pages | : 319 |
| Release | : 2021-06-16 |
| Genre | : Science |
| ISBN | : 1800610297 |
Download Mathematical Models In Science Book in PDF, ePub and Kindle
Mathematical Models in Science treats General Relativity and Quantum Mechanics in a non-commutative Algebraic Geometric framework.Based on ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav Arnfinn Laudal proposes a Toy Model as a Theory of Everything, starting with the notion of the Big Bang in Cosmology, modeled as the non-commutative deformation of a thick point. From this point, the author shows how to extract reasonable models for both General Relativity and Quantum Theory. This book concludes that the universe turns out to be the 6-dimensional Hilbert scheme of pairs of points in affine 3-space. With this in place, one may develop within the model much of the physics known to the reader. In particular, this theory is applicable to the concept of Dark Matter and its effects on our visual universe.Hence, Mathematical Models in Science proves the dependency of deformation theory in Mathematical Physics and summarizes the development of physical applications of pure mathematics developed in the twentieth century.
| Author | : Edward A. Bender |
| Publisher | : Courier Corporation |
| Total Pages | : 273 |
| Release | : 2012-05-23 |
| Genre | : Mathematics |
| ISBN | : 0486137120 |
Download An Introduction to Mathematical Modeling Book in PDF, ePub and Kindle
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
| Author | : Ismael Herrera |
| Publisher | : John Wiley & Sons |
| Total Pages | : 259 |
| Release | : 2012-03-19 |
| Genre | : Technology & Engineering |
| ISBN | : 1118207203 |
Download Mathematical Modeling in Science and Engineering Book in PDF, ePub and Kindle
A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.
| Author | : Walter J. Meyer |
| Publisher | : Courier Corporation |
| Total Pages | : 450 |
| Release | : 2012-10-23 |
| Genre | : Mathematics |
| ISBN | : 0486137244 |
Download Concepts of Mathematical Modeling Book in PDF, ePub and Kindle
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.
| Author | : Jacques Istas |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 170 |
| Release | : 2005-10-04 |
| Genre | : Mathematics |
| ISBN | : 354027877X |
Download Mathematical Modeling for the Life Sciences Book in PDF, ePub and Kindle
Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading
| Author | : Rutherford Aris |
| Publisher | : Courier Corporation |
| Total Pages | : 290 |
| Release | : 2012-06-29 |
| Genre | : Mathematics |
| ISBN | : 0486138895 |
Download Mathematical Modelling Techniques Book in PDF, ePub and Kindle
"Engaging, elegantly written." — Applied Mathematical Modelling Mathematical modelling is a highly useful methodology designed to enable mathematicians, physicists and other scientists to formulate equations from a given nonmathematical situation. In this elegantly written volume, a distinguished theoretical chemist and engineer sets down helpful rules not only for setting up models but also for solving the mathematical problems they pose and for evaluating models. The author begins with a discussion of the term "model," followed by clearly presented examples of the different types of models (finite, statistical, stochastic, etc.). He then goes on to discuss the formulation of a model and how to manipulate it into its most responsive form. Along the way Dr. Aris develops a delightful list of useful maxims for would-be modellers. In the final chapter he deals not only with the empirical validation of models but also with the comparison of models among themselves, as well as with the extension of a model beyond its original "domain of validity." Filled with numerous examples, this book includes three appendices offering further examples treated in more detail. These concern longitudinal diffusion in a packed bed, the coated tube chromatograph with Taylor diffusion and the stirred tank reactor. Six journal articles, a useful list of references and subject and name indexes complete this indispensable, well-written guide. "A most useful, readable-and stimulating-book, to be read both for pleasure and for enlightenment." — Bulletin of the Institute of Mathematics and Its Applications
| Author | : Roger J. Hosking |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 373 |
| Release | : 2008-03-02 |
| Genre | : Mathematics |
| ISBN | : 376438591X |
Download Aspects of Mathematical Modelling Book in PDF, ePub and Kindle
The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
| Author | : Kai Velten |
| Publisher | : John Wiley & Sons |
| Total Pages | : 362 |
| Release | : 2009-06-01 |
| Genre | : Science |
| ISBN | : 3527627618 |
Download Mathematical Modeling and Simulation Book in PDF, ePub and Kindle
This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
| Author | : Neil A. Gershenfeld |
| Publisher | : Cambridge University Press |
| Total Pages | : 268 |
| Release | : 1999 |
| Genre | : Science |
| ISBN | : 9780521570954 |
Download The Nature of Mathematical Modeling Book in PDF, ePub and Kindle
This is a book about the nature of mathematical modeling, and about the kinds of techniques that are useful for modeling. The text is in four sections. The first covers exact and approximate analytical techniques; the second, numerical methods; the third, model inference based on observations; and the last, the special role of time in modeling. Each of the topics in the book would be the worthy subject of a dedicated text, but only by presenting the material in this way is it possible to make so much material accessible to so many people. Each chapter presents a concise summary of the core results in an area. The text is complemented by extensive worked problems.
| Author | : A. C. Fowler |
| Publisher | : Cambridge University Press |
| Total Pages | : 440 |
| Release | : 1997-11-28 |
| Genre | : Mathematics |
| ISBN | : 9780521467032 |
Download Mathematical Models in the Applied Sciences Book in PDF, ePub and Kindle
Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.
