Mathematical Modeling for the Scientific Method

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Release : 2011-08-24
Genre : Mathematics
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Book Rating : 466/5 ( reviews)

Mathematical Modeling for the Scientific Method - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modeling for the Scientific Method write by David Pravica. This book was released on 2011-08-24. Mathematical Modeling for the Scientific Method available in PDF, EPUB and Kindle. Part of the International Series in Mathematics Mathematical Modeling for the Scientific Method is intended for the sophomore/junior-level student seeking to be well-grounded in mathematical modeling for their studies in biology, the physical sciences, engineering, and/or medicine. It clarifies the connection between deductive and inductive reasoning as used in Mathematics and Science and urges students to think critically about concepts and applications. The authors’ goal is to be introductory in level while covering a broad range of techniques. They unite topics in statistics, linear algebra, calculus and differential equations, while discussing how these subjects are interrelated and utilized. Mathematical Modeling for the Scientific Method leaves students with a clearer perspective of the role of mathematics within the sciences and the understanding of how to rationally work through even rigorous applications with ease.

Mathematical Modeling in Science and Engineering

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Release : 2012-03-19
Genre : Technology & Engineering
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Book Rating : 203/5 ( reviews)

Mathematical Modeling in Science and Engineering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modeling in Science and Engineering write by Ismael Herrera. This book was released on 2012-03-19. Mathematical Modeling in Science and Engineering available 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.

Mathematical Modelling Techniques

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Release : 1994-01-01
Genre : Technology & Engineering
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Book Rating : 313/5 ( reviews)

Mathematical Modelling Techniques - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical Modelling Techniques write by Rutherford Aris. This book was released on 1994-01-01. Mathematical Modelling Techniques available in PDF, EPUB and Kindle. "Engaging, elegantly written." — Applied Mathematical Modelling. A distinguished theoretical chemist and engineer discusses the types of models — finite, statistical, stochastic, and more — as well as how to formulate and manipulate them for best results. Filled with numerous examples, the book includes three appendices offering further examples treated in more detail.

An Introduction to Mathematical Modeling

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Release : 2012-05-23
Genre : Mathematics
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Book Rating : 120/5 ( reviews)

An Introduction to Mathematical Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Mathematical Modeling write by Edward A. Bender. This book was released on 2012-05-23. An Introduction to Mathematical Modeling available 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.

Modelling Mathematical Methods and Scientific Computation

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Release : 1994-12-22
Genre : Mathematics
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Book Rating : 311/5 ( reviews)

Modelling Mathematical Methods and Scientific Computation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modelling Mathematical Methods and Scientific Computation write by Nicola Bellomo. This book was released on 1994-12-22. Modelling Mathematical Methods and Scientific Computation available in PDF, EPUB and Kindle. Addressed to engineers, scientists, and applied mathematicians, this book explores the fundamental aspects of mathematical modelling in applied sciences and related mathematical and computational methods. After providing the general framework needed for mathematical modelling-definitions, classifications, general modelling procedures, and validation methods-the authors deal with the analysis of discrete models. This includes modelling methods and related mathematical methods. The analysis of models is defined in terms of ordinary differential equations. The analysis of continuous models, particularly models defined in terms of partial differential equations, follows. The authors then examine inverse type problems and stochastic modelling. Three appendices provide a concise guide to functional analysis, approximation theory, and probability, and a diskette included with the book includes ten scientific programs to introduce the reader to scientific computation at a practical level.