A rigorous and comprehensive introduction to numerical analysis Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects—design, analysis, or computer implementation—of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online
An accessible, illustrated introduction to statistics and sports analytics for fanatics and newcomers alike. On February 27, 2013, NBA shooter Steph Curry wowed crowds when he sunk eleven out of thirteen three-pointers-only seven other players, including the likes of Michael Jordan and Kobe Bryant, had scored more in the history of games at Madison Square Garden. Four years later, the University of Connecticut women's basketball team won their 100th straight game, defeating South Carolina 66-55. And in 2010, one sports forecaster-an octopus named Paul-correctly predicted the outcome of all of Germany's matches in the World Cup. These are surprising events. Are they truly improbable? Mathematician and sports analytics expert Tim Chartier shows readers how to answer that question-condensing complex data modeling down to coin tosses and dice throws to give readers an introduction to statistics and a new way to enjoy sporting events. Chartier leads readers through modeling experiments with accessible tools and few formulas to develop an intuitive sense of the improbable. For example, to see how likely you are to beat Curry's three-pointer feat, take into account Curry's 45.3 percent three-point shooting average in 2012-2013. Take a coin and assume heads is making the shot (slightly better than Curry at a 50 percent chance). Can you imagine getting heads eleven out of thirteen times? We soon get a sense of the improbability of Curry's feat. The book includes exercises for sports experimentation and engaging illustrations in comic book-style by illustrator Ansley Earle. The result allows all readers to predict and examine the likelihood of sports events for those who have never encountered formal statistics, who don't have the programming skills to run simulations, and may have never heard of sports analytics, but enjoy watching sports"--
An inviting collection of fun, hands-on applications in mathematics and computing This book provides a fun, hands-on approach to learning how mathematics and computing relate to the world around us and help us to better understand it. How can reposting on Twitter kill a movie's opening weekend? How can you use mathematics to find your celebrity look-alike? What is Homer Simpson’s method for disproving Fermat’s Last Theorem? Each topic in this refreshingly inviting book illustrates a famous mathematical algorithm or result--such as Google’s PageRank and the traveling salesman problem--and the applications grow more challenging as you progress through the chapters. But don’t worry, helpful solutions are provided each step of the way. Math Bytes shows you how to do calculus using a bag of chocolate chips, and how to prove the Euler characteristic simply by doodling. Generously illustrated in color throughout, this lively and entertaining book also explains how to create fractal landscapes with a roll of the dice, pick a competitive bracket for March Madness, decipher the math that makes it possible to resize a computer font or launch an Angry Bird--and much, much more. All of the applications are presented in an accessible and engaging way, enabling beginners and advanced readers alike to learn and explore at their own pace--a bit and a byte at a time.
Sports analytics has gathered tremendous momentum as one of the most dynamic fields. Diving deep into the numbers of sports can be game changing or simply a fun exercise for fans. How do you get in the game with numbers? What questions can be explored? What actionable insights can be gleaned?Do you like sports? This book will detail ways to analyze athletics to gain insight that can otherwise be obscured. Like math? You'll find many mathematical topics not involving sports. You'll also see how sports analytics can train you broadly in mathematics.From coaching at the highest levels to national media broadcasts, analytics are becoming increasingly indispensable. Dive into the numbers behind soccer to basketball to baseball to boxing to swimming, dive into the numbers. Learn how to get in the game with sports and mathematics.
The purpose of this book is to lay the groundwork for the analysis and the design of processes with a view to energetic efficiency. Energetics is used in the original sense of the engineer W. J. M. Rankine (Proc. Roy. Philosoph. Soc. of Glasgow III, 381 [1955]) and the physical chemist J. N. Br\3nsted (Principles and Problems in Energetics, Interscience, New York, 1955), i.e., the macroscopic description of the flows of different forms of energy, and the general laws governing the mutual transforma tions of these flows. The prerequisite for the use of the book is a conventional course in equilibrium thermodynamics as usually taken in the junior (third) col lege year. The author believes that while knowledge about equilibria is essential, most engineers and many scientists are mostly interested in systems in which equilibrium has not yet been reached. In such systems, flow phenomena such as heat, mass and electricity transfer, as well as chemical reactions, can take place, and it is important to know the driv ing forces and laws governing the interactions of these flows.
From simulating complex phenomenon on supercomputers to storing the coordinates needed in modern 3D printing, data is a huge and growing part of our world. A major tool to manipulate and study this data is linear algebra. When Life is Linear introduces concepts of matrix algebra with an emphasis on application, particularly in the fields of computer graphics and data mining. Readers will learn to make an image transparent, compress an image and rotate a 3D wireframe model. In data mining, readers will use linear algebra to read zip codes on envelopes and encrypt sensitive information. Chartier details methods behind web search, utilized by such companies as Google, and algorithms for sports ranking which have been applied to creating brackets for March Madness and predict outcomes in FIFA World Cup soccer. The book can serve as its own resource or to supplement a course on linear algebra.
Interest in the use of biomass for non-food applications has grown strongly in recent years, mainly as a consequence of its potential as a prime renewable energy resource. Renewable energies rank highly among the options that will contribute to the prevention of climate change and to security of energy supply in the future. Furthermore, exploiting biomass is very attractive as a way of dealing with two sensitive issues facing the majority of westernEuropean countries today; the extent of unemployment and the setting aside of farm lands to limit excess agricultural production. The 8th European Conference for Energy, Environment, Agriculture and Industry, held in Vienna, October 1994 was larger that any of its predecessors, with over 300 refereed contributions from 20 countries worldwide and over 520 participants. It was arguably the most significant event to date in this field, providing the opportunity for an international exchange of information on the recent progress in developing and implementing renewable biomass based non-food technologies. Published in 3 volumes, the proceedings of this conference therefore contain the most complete overview of the present state-of-the-art. Subjects covered include: biomass resource base, electricity and heat generation, transportation fuels, chemicals from biomass, products from bio- and thermochemical conversion technologies, economics, environmental aspects and opportunities for implementation worldwide, in particular in developing countries. Apart from the numerous contributions on the most recent results in research, development and implementation, the publication also contains authoritative reviews on most of the above-mentioned areas from leading experts in each field. In addition to this, it contains a list of key issues for developing a successful strategy leading to a rapid implementation in Europe and abroad.As a result it is indispensable for anyone working in this area, whether in research, demonstration or in policy development.
Biomass is set to play an increasing role in the supply of energy, both in the industrialised world and in developing countries, as concern for the state of the global environment grows. The possibility for the acceleration of commercial production has received support from the increasing involvement of the large power producers and the growing political commitments of several European countries. The 9th European Bioenergy Conference was held in Copenhagen, 24-27 June 1996. Interest in this conference series continues to grow and the event attracted around 700 delegates from 45 countries. In contrast to previous events, more emphasis was placed on demonstrating bioenergy technology in the marketplace. Overviews on recent achievements in commercial or near commercial activities formed the main focus of the event, but highlights of advancesin science and technological development were also presented, in addition to papers covering environmental aspects of bioenergy. The proceedings contain 350 state-of-the-art papers addressing the following areas; primary production of biomass; provision and production of solid biomass fuels; processes for large power plants; processes for decentralised heat and power production; processes for production of transportation fuels; market, economic and environmental aspects of bioenergyand policy measures to overcome non-technical barriers
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.