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Mathematics And Models In Engineering Science
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Book Synopsis Models of the Mind by : Grace Lindsay
Download or read book Models of the Mind written by Grace Lindsay and published by Bloomsbury Publishing. This book was released on 2021-03-04 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The human brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For more than a century, a diverse array of researchers searched for a language that could be used to capture the essence of what these neurons do and how they communicate – and how those communications create thoughts, perceptions and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it. In Models of the Mind, author and computational neuroscientist Grace Lindsay explains how mathematical models have allowed scientists to understand and describe many of the brain's processes, including decision-making, sensory processing, quantifying memory, and more. She introduces readers to the most important concepts in modern neuroscience, and highlights the tensions that arise when the abstract world of mathematical modelling collides with the messy details of biology. Each chapter of Models of the Mind focuses on mathematical tools that have been applied in a particular area of neuroscience, progressing from the simplest building block of the brain – the individual neuron – through to circuits of interacting neurons, whole brain areas and even the behaviours that brains command. In addition, Grace examines the history of the field, starting with experiments done on frog legs in the late eighteenth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. Throughout, she reveals the value of using the elegant language of mathematics to describe the machinery of neuroscience.
Book Synopsis Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems by : Chakraverty, S.
Download or read book Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems written by Chakraverty, S. and published by IGI Global. This book was released on 2014-01-31 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and applications"--Provided by publisher.
Book Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender
Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Numerical Modeling in Materials Science and Engineering by : Michel Rappaz
Download or read book Numerical Modeling in Materials Science and Engineering written by Michel Rappaz and published by Springer Science & Business Media. This book was released on 2002-11-05 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.
Book Synopsis Engineering Design and Mathematical Modelling by : Nnamdi Nwulu
Download or read book Engineering Design and Mathematical Modelling written by Nnamdi Nwulu and published by Routledge. This book was released on 2020-12-17 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering Design and Mathematical Modelling: Concepts and Applications consists of chapters that span the Engineering design and mathematical modelling domains. Engineering design and mathematical modelling are key tools/techniques in the Science, Technology and Innovation spheres. Whilst engineering design is concerned with the creation of functional innovative products and processes, mathematical modelling seeks to utilize mathematical principles and concepts to describe and control real world phenomena. Both of these can be useful tools for spurring and hastening progress in developing countries. They are also areas where Africa needs to ‘skill-up’ in order to build a technological base. The chapters in this book cover the relevant research trends in the fields of both engineering design and mathematical modelling. This book was originally published as a special issue of the African Journal of Science, Technology, Innovation and Development.
Book Synopsis Models and Modeling in Engineering Education by :
Download or read book Models and Modeling in Engineering Education written by and published by Brill / Sense. This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes how incorporating mathematical modeling activities and projects, that are designed to reflect authentic engineering experience, into engineering classes has the potential to enhance and tap the diverse strengths of students who come from a variety of backgrounds.
Book Synopsis Advanced Mathematical Methods in Science and Engineering by : S.I. Hayek
Download or read book Advanced Mathematical Methods in Science and Engineering written by S.I. Hayek and published by CRC Press. This book was released on 2010-06-22 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of the book. After introducing integration and solution methods of ordinary differential equations (ODEs), the book presents Bessel and Legendre functions as well as the derivation and methods of solution of linear boundary value problems for physical systems in one spatial dimension governed by ODEs. It also covers complex variables, calculus, and integrals; linear partial differential equations (PDEs) in classical physics and engineering; the derivation of integral transforms; Green’s functions for ODEs and PDEs; asymptotic methods for evaluating integrals; and the asymptotic solution of ODEs. New to this edition, the final chapter offers an extensive treatment of numerical methods for solving non-linear equations, finite difference differentiation and integration, initial value and boundary value ODEs, and PDEs in mathematical physics. Chapters that cover boundary value problems and PDEs contain derivations of the governing differential equations in many fields of applied physics and engineering, such as wave mechanics, acoustics, heat flow in solids, diffusion of liquids and gases, and fluid flow. An update of a bestseller, this second edition continues to give students the strong foundation needed to apply mathematical techniques to the physical phenomena encountered in scientific and engineering applications.
Book Synopsis Principles of Mathematical Modeling by : Clive Dym
Download or read book Principles of Mathematical Modeling written by Clive Dym and published by Elsevier. This book was released on 2004-08-10 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics. - Serves as an introductory text on the development and application of mathematical models - Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems - Offers more than 360 problems, providing ample opportunities for practice - Covers a wide range of interdisciplinary topics--from engineering to economics to the sciences - Uses straightforward language and explanations that make modeling easy to understand and apply New to this Edition: - A more systematic approach to mathematical modeling, outlining ten specific principles - Expanded and reorganized chapters that flow in an increasing level of complexity - Several new problems and updated applications - Expanded figure captions that provide more information - Improved accessibility and flexibility for teaching
Book Synopsis Data-Driven Science and Engineering by : Steven L. Brunton
Download or read book Data-Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Book Synopsis Mathematical Modeling by : Christof Eck
Download or read book Mathematical Modeling written by Christof Eck and published by Springer. This book was released on 2017-04-11 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. At the same time a wealth of important examples for the abstract concepts treated in the curriculum of mathematics degrees are given. An essential feature of this book is that mathematical structures are used as an ordering principle and not the fields of application. Methods from linear algebra, analysis and the theory of ordinary and partial differential equations are thoroughly introduced and applied in the modeling process. Examples of applications in the fields electrical networks, chemical reaction dynamics, population dynamics, fluid dynamics, elasticity theory and crystal growth are treated comprehensively.
Book Synopsis Mathematics in Engineering and Science by : L. R. Mustoe
Download or read book Mathematics in Engineering and Science written by L. R. Mustoe and published by John Wiley & Sons. This book was released on 1998-06-11 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: mathematics in Engineering and Science L. R. Mustoe Loughborough University, UK M. D. J. Barry University of Bristol, UK In today's world, technology plays an increasingly important role. At the same time, mathematics is finding ever wider areas of application as we seek to understand more about the way in which nature works. Traditionally, engineering and science have relied on mathematical models for design and for the prediction of the behaviour of phenomena. Although widespread availability of computers and pocket calculators has reduced the need for long, tedious calculations to be carried out manually, it is still important to be able to perform simple calculations in order to have a feel for the processes involved. This book starts with a detailed synopsis of the material included in the authors' related textbook Foundation Mathematics (Wiley, 1998). It then expands the material in the areas of trigonometry, solution of equations and algebra. Vectors are covered next, then calculus is taken forward into geometrical applications. Matrix algebra and uncertainty follow before deeper analysis in chapters on integer variables, differential equations and complex numbers leads towards an appendix on mathematical modelling. Each chapter opens with a list of learning objectives and ends with a summary of key points and results. A generous supply of worked examples incorporating motivational applications is designed to build knowledge and skill. Drill and practice is essential and the exercises are graded in difficulty for reading and revision: the answers at the end of each chapter include helpful hints. Use of a pocket calculator is encouraged where appropriate. Many of the exercises can be validated by computer algebra and its use is strongly recommended where higher algebraic accuracy can be achieved and drudgery removed. The concise and focused approach of Mathematics in Engineering and Science will enable the student reader to approach the challenges of mathematics in a course at university level with confidence. Foundation Mathematics and Mathematics in Engineering and Science are written to be both complementary and independent; students may follow both books consecutively or may use just one, depending on their previous mathematical experience and the level of mathematical development that they wish to achieve.
Book Synopsis Mathematical Models of the Cell and Cell Associated Objects by : Viktor V. Ivanov
Download or read book Mathematical Models of the Cell and Cell Associated Objects written by Viktor V. Ivanov and published by Elsevier. This book was released on 2006-05-10 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives the reader a survey of hundreds results in the field of the cell and cell associated objects modeling. Applications to modeling in the areas of AIDS, cancers and life longevity are investigated in this book. - Introduces and proves fundamental properties of evolutionary systems on optimal distribution of their various resources on their internal and external functions - Gives detailed analysis of applications to modeling AIDS, cancers, and life longevity - Introducing and grounding the respective numerical algorithms and software - Detailed analysis of hundreds of scientific works in the field of mathematical modeling of the cell and cell associated objects
Book Synopsis Mathematical and Experimental Modeling of Physical and Biological Processes by : H.T. Banks
Download or read book Mathematical and Experimental Modeling of Physical and Biological Processes written by H.T. Banks and published by CRC Press. This book was released on 2009-01-12 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model. Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them. Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics. Real experimental data for projects can be downloaded from CRC Press Online.
Book Synopsis Modelling and Simulation in Science, Technology and Engineering Mathematics by : Surajit Chattopadhyay
Download or read book Modelling and Simulation in Science, Technology and Engineering Mathematics written by Surajit Chattopadhyay and published by Springer. This book was released on 2018-10-24 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the peer-reviewed proceedings of the International Conference on Modelling and Simulation (MS-17), held in Kolkata, India, 4th-5th November 2017, organized by the Association for the Advancement of Modelling and Simulation Techniques in Enterprises (AMSE, France) in association with the Institution of Engineering Technology (IET, UK), Kolkata Network. The contributions contained here showcase some recent advances in modelling and simulation across various aspects of science and technology. This book brings together articles describing applications of modelling and simulation techniques in fields as diverse as physics, mathematics, electrical engineering, industrial electronics, control, automation, power systems, energy and robotics. It includes a special section on mechanical, fuzzy, optical and opto-electronic control of oscillations. It provides a snapshot of the state of the art in modelling and simulation methods and their applications, and will be of interest to researchers and engineering professionals from industry, academia and research organizations.
Book Synopsis Water Engineering Modeling and Mathematic Tools by : Pijush Samui
Download or read book Water Engineering Modeling and Mathematic Tools written by Pijush Samui and published by Elsevier. This book was released on 2021-02-05 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Water Engineering Modeling and Mathematic Tools provides an informative resource for practitioners who want to learn more about different techniques and models in water engineering and their practical applications and case studies. The book provides modelling theories in an easy-to-read format verified with on-site models for specific regions and scenarios. Users will find this to be a significant contribution to the development of mathematical tools, experimental techniques, and data-driven models that support modern-day water engineering applications. Civil engineers, industrialists, and water management experts should be familiar with advanced techniques that can be used to improve existing systems in water engineering. This book provides key ideas on recently developed machine learning methods and AI modelling. It will serve as a common platform for practitioners who need to become familiar with the latest developments of computational techniques in water engineering. - Includes firsthand experience about artificial intelligence models, utilizing case studies - Describes biological, physical and chemical techniques for the treatment of surface water, groundwater, sea water and rain/snow - Presents the application of new instruments in water engineering
Book Synopsis Mathematical Models in the Applied Sciences by : A. C. Fowler
Download or read book Mathematical Models in the Applied Sciences written by A. C. Fowler and published by Cambridge University Press. This book was released on 1997-11-28 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Models in Applied Mechanics by : Alan B. Tayler
Download or read book Mathematical Models in Applied Mechanics written by Alan B. Tayler and published by Oxford University Press. This book was released on 2001 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook demonstrates the power of mathematics in solving practical, scientific, and technical problems through mathematical modelling techniques. It has been designed specifically for final year undergraduate and graduate students, and springs from the author's extensive teachingexperience. The text is combined with twenty-one carefully ordered problems taken from real situations, and students are encouraged to develop the skill of constructing their own models of new situations.
