Mathematical Tools For Real World Applications

Author : Alexandr Draganov
Publisher : MIT Press
ISBN 13 : 026237031X
Total Pages : 307 pages
Book Rating : 4.18/5 ( download)

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Download or read book Mathematical Tools for Real-World Applications written by Alexandr Draganov and published by MIT Press. This book was released on 2022-08-02 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found in textbooks: they are messier, take longer to solve, and standard solution recipes might not apply. This book fills the gap between what is taught in the typical college curriculum and what a practicing engineer or scientist needs to know. It presents six powerful tools for analysis, research, and problem-solving in the real world: dimensional analysis, limiting cases, symmetry, scaling, making order of magnitude estimates, and the method of successive approximations. The book does not focus on formulaic manipulations of equations, but emphasizes analysis and explores connections between the equations and the application. Each chapter introduces a set of ideas and techniques and then shows how these techniques apply to a series of problems. (Knowledge of algebra and trigonometry, but not calculus, is required.) The final two chapters tie all six techniques together and apply them to two real-world problems: computing the probability of a rare, catastrophic event, and tracking a satellite with a GPS receiver. Readers will learn how to analyze, dissect, and gain insight into the results by using all the techniques presented in earlier chapters—and discover how analysis tools work on problems not concocted for a textbook. The appendix provides solutions to many of the problems found throughout the book. Alexandr Draganov was born and raised in Kyiv, Ukraine; in light of the current war in Ukraine he will donate 100% of his royalties for the first year to support medical and humanitarian efforts there.​

Author : Evan Glazer
Publisher : Greenwood
ISBN 13 : 9780313361234
Total Pages : 0 pages
Book Rating : 4.31/5 ( download)

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Download or read book Real-Life Math written by Evan Glazer and published by Greenwood. This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics educators Glazer (U. of Georgia) and McConnell (North Park U.) describe practical uses of some common mathematical concepts and techniques. The arrangement is by concept, so the reference would probably be most useful to high school teachers and librarians, rather than students seeking techniques for particular problems. The techniques themselves are not explained.

Author : Lancelot Thomas Hogben
Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.32/5 ( download)

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Download or read book Mathematics for the Million written by Lancelot Thomas Hogben and published by . This book was released on 1946 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Leandro Pardo
Publisher : Springer
ISBN 13 : 3642208533
Total Pages : 514 pages
Book Rating : 4.39/5 ( download)

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Download or read book Modern Mathematical Tools and Techniques in Capturing Complexity written by Leandro Pardo and published by Springer. This book was released on 2011-05-26 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Real-life problems are often quite complicated in form and nature and, for centuries, many different mathematical concepts, ideas and tools have been developed to formulate these problems theoretically and then to solve them either exactly or approximately. This book aims to gather a collection of papers dealing with several different problems arising from many disciplines and some modern mathematical approaches to handle them. In this respect, the book offers a wide overview on many of the current trends in Mathematics as valuable formal techniques in capturing and exploiting the complexity involved in real-world situations. Several researchers, colleagues, friends and students of Professor María Luisa Menéndez have contributed to this volume to pay tribute to her and to recognize the diverse contributions she had made to the fields of Mathematics and Statistics and to the profession in general. She had a sweet and strong personality, and instilled great values and work ethics in her students through her dedication to teaching and research. Even though the academic community lost her prematurely, she would continue to provide inspiration to many students and researchers worldwide through her published work.

Author : Alexander S. Poznyak
Publisher : Elsevier
ISBN 13 : 0080556108
Total Pages : 803 pages
Book Rating : 4.09/5 ( download)

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Download or read book Advanced Mathematical Tools for Control Engineers: Volume 1 written by Alexander S. Poznyak and published by Elsevier. This book was released on 2010-07-07 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Mathematical Tools for Control Engineers: Volume 1 provides a blend of Matrix and Linear Algebra Theory, Analysis, Differential Equations, Optimization, Optimal and Robust Control. It contains an advanced mathematical tool which serves as a fundamental basis for both instructors and students who study or actively work in Modern Automatic Control or in its applications. It is includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers, and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to System and Automatic Control Theories. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented

Author : Alexander S. Poznyak
Publisher : Elsevier
ISBN 13 : 0080914039
Total Pages : 568 pages
Book Rating : 4.39/5 ( download)

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Download or read book Advanced Mathematical Tools for Automatic Control Engineers: Volume 2 written by Alexander S. Poznyak and published by Elsevier. This book was released on 2009-08-13 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers. The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle. Provides comprehensive theory of matrices, real, complex and functional analysis Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications Contains worked proofs of all theorems and propositions presented

Author : Zafer Aslan
Publisher :
ISBN 13 : 9781536162677
Total Pages : 324 pages
Book Rating : 4.71/5 ( download)

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Download or read book Mathematical Modeling of Real World Problems written by Zafer Aslan and published by . This book was released on 2019 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data mining provides avenues for proper understanding of real world problems. For researchers interested in data mining and new applications, this book is a multidisciplinary 'handbook' in data processes, engineering and medical applications. The authors from the different parts of the world discuss major issues of importance for integrated mathematical implementation and developing experiences. From the general spectrum, the individual spectra can be allowing for separate detection and monitoring of the problem by decomposing the space and time series into signal and noise components. It provides an up-front review of mathematical modeling of real world problems and interdisciplinary studies in applied mathematics that are not only for scientists, engineers, planners or, social scientists but because also everyone can read and understand the real world problems from environment to medicine and their interaction to mathematical implementation. Mathematical studies of the book are aimed to analyze and visualize real world problems in engineering and environmental studies like drought survey, precipitation and erosivity, cloud clarification, estimation of convection scheme and non-linear time series of air pollution, water management, water quality and river pollution and also in medical sciences like, ECG analyses, neurosurgery, computational neuroscience, brain disasters, Parkinson diseases, support vector machine, logic and mathematics. Authors recommend it to researchers with an interest in interaction of social, environmental, agricultural and medical scientists, engineers and planners who are applying wavelets and applied mathematics in their research. The book was edited by Prof. Dr. Zafer ASLAN - Istanbul Aydın University, Assoc. Prof. Dr. Funda DÃKMEN - Kocaeli University, Prof. Dr. Abul Hasan SIDDIQI - Sharda University and Prof. Dr. Enrico FEOLI - University of Trieste.

Author : Apoorva Khare
Publisher : Yale University Press
ISBN 13 : 0300216424
Total Pages : 476 pages
Book Rating : 4.24/5 ( download)

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Download or read book Beautiful, Simple, Exact, Crazy written by Apoorva Khare and published by Yale University Press. This book was released on 2015-08-25 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two mathematicians explore how math fits into everything from art, music, and literature to space probes and game shows. In this vibrant work, which is ideal for both teaching and learning, Apoorva Khare and Anna Lachowska explain the mathematics essential for understanding and appreciating our quantitative world. They show with examples that mathematics is a key tool in the creation and appreciation of art, music, and literature, not just science and technology. The book covers basic mathematical topics from logarithms to statistics, but the authors eschew mundane finance and probability problems. Instead, they explain how modular arithmetic helps keep our online transactions safe, how logarithms justify the twelve-tone scale commonly used in music, and how transmissions by deep space probes are like knights serving as messengers for their traveling prince. Perfect for coursework in introductory mathematics and requiring no knowledge of calculus, Khare and Lachowska’s enlightening mathematics tour will appeal to a wide audience. “A whirlwind tour through mathematics and its applications to the real world, laced with stimulating exercises and fascinating historical insights. Destined to become a classic of mathematical exposition.” —Eli Maor, author of e: the Story of a Number and Trigonometric Delights “Khare and Lachowska introduce bite-size pieces of important math by surrounding them with interesting context, from the Monty Hall problem for probability to a story by Dino Buzzati for velocity. Math treated with seriousness and fun.” —Michael Frame, co-author, with Benoit Mandelbrot, of Fractals, Graphics, and Mathematics Education “An excellent book, well-suited for a thoughtful, quantitatively-rigorous ‘Math for Humanists’ course.” —William Goldbloom Bloch, author of The Unimaginable Mathematics of Borges’ Library of Babel

Author : Frank T. Smith
Publisher : Springer
ISBN 13 : 3030122328
Total Pages : 703 pages
Book Rating : 4.24/5 ( download)

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Download or read book Mathematics Applied to Engineering, Modelling, and Social Issues written by Frank T. Smith and published by Springer. This book was released on 2019-03-14 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several aspects of research on mathematics that have significant applications in engineering, modelling and social matters, discussing a number of current and future social issues and problems in which mathematical tools can be beneficial. Each chapter enhances our understanding of the research problems in a particular an area of study and highlights the latest advances made in that area. The self-contained contributions make the results and problems discussed accessible to readers, and provides references to enable those interested to follow subsequent studies in still developing fields. Presenting real-world applications, the book is a valuable resource for graduate students, researchers and educators. It appeals to general readers curious about the practical applications of mathematics in diverse scientific areas and social problems.

Author : Odo Diekmann
Publisher : Princeton University Press
ISBN 13 : 0691155399
Total Pages : 516 pages
Book Rating : 4.95/5 ( download)

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Download or read book Mathematical Tools for Understanding Infectious Disease Dynamics written by Odo Diekmann and published by Princeton University Press. This book was released on 2013 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology.