Download or read book The Mathematics of Projectiles in Sport written by Neville de Mestre and published by Cambridge University Press. This book was released on 1990-04-19 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of considerable interest to applied mathematicians as well as sporting enthusiasts is the mathematical theory underlying the many sporting activities documented here, ranging from the high jump to frisbees and soccer to table tennis.
Download or read book The Mathematics of Projectiles in Sport written by Neville De Mestre and published by . This book was released on 2020 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Projectile Dynamics in Sport written by Colin White and published by Routledge. This book was released on 2010-09-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we predict the trajectory of a baseball from bat to outfield? How do the dimples in a golf ball influence its flight from tee to pin? What forces determine the path of a soccer ball steered over a defensive wall by an elite player? An understanding of the physical processes involved in throwing, hitting, firing and releasing sporting projectiles is essential for a full understanding of the science that underpins sport. This is the first book to comprehensively examine those processes and to explain the factors governing the trajectories of sporting projectiles once they are set in motion. From a serve in tennis to the flight of a ’human projectile’ over a high jump bar, this book explains the universal physical and mathematical principles governing movement in sport, and then shows how those principles are applied in specific sporting contexts. Divided into two sections, addressing theory and application respectively, the book explores key concepts such as: friction, spin, drag, impact and bounce computer and mathematical modelling variable sensitivity the design of sports equipment materials science. Richly illustrated throughout, and containing a wealth of research data as well as worked equations and examples, this book is essential reading for all serious students of sports biomechanics, sports engineering, sports technology, sports equipment design and sports performance analysis.
Download or read book The Hidden Mathematics of Sport written by Rob Eastaway and published by Portico. This book was released on 2021-06-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating book explores the mathematics involved in all your favourite sports. The Hidden Mathematics of Sport takes a unique and fascinating look at sport by exploring the mathematics behind the action. You'll discover the best tactics for taking a penalty, the pros and cons of being a consistent golfer, the surprising connection between American football and cricket, the quirky history of league tables, the unusual location of England's earliest 'football' matches and how to avoid marathon tennis matches. Whatever your sporting interests, from boxing to figure skating, from rugby to horse racing, you will find plenty to absorb and amuse you in this insightful book. Word count: 35,000 words
Download or read book Projectile Dynamics in Sport written by Colin White and published by Routledge. This book was released on 2010-09-13 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we predict the trajectory of a baseball from bat to outfield? How do the dimples in a golf ball influence its flight from tee to pin? What forces determine the path of a soccer ball steered over a defensive wall by an elite player? An understanding of the physical processes involved in throwing, hitting, firing and releasing sporting projectiles is essential for a full understanding of the science that underpins sport. This is the first book to comprehensively examine those processes and to explain the factors governing the trajectories of sporting projectiles once they are set in motion. From a serve in tennis to the flight of a ’human projectile’ over a high jump bar, this book explains the universal physical and mathematical principles governing movement in sport, and then shows how those principles are applied in specific sporting contexts. Divided into two sections, addressing theory and application respectively, the book explores key concepts such as: friction, spin, drag, impact and bounce computer and mathematical modelling variable sensitivity the design of sports equipment materials science. Richly illustrated throughout, and containing a wealth of research data as well as worked equations and examples, this book is essential reading for all serious students of sports biomechanics, sports engineering, sports technology, sports equipment design and sports performance analysis.
Download or read book Modelling with Projectiles written by Derek Hart and published by Ellis Horwood. This book was released on 1988 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Australian National Bibliography written by and published by National Library Australia. This book was released on 1978 with total page 1734 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Exterior Ballistics written by Robert L. McCoy and published by Schiffer Military History. This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Exterior Ballistics is a comprehensive text covering the basic free flight dynamics of symmetric projectiles. The book provides a historical perspective of early developments in the 19th century, the technology leading to World War I and that through World War II into the modern post-war era. Historical topics include the first ballistic firing tables, early wind tunnel experiments, the development of free flight spark ranges and the first supercomputer, ENIAC, which was designed to compute artillery trajectories for the U.S. Army Ballistic Research Laboratory. The level of the text requires an undergraduate education in mathematics, physics, and mechanical or aerospace engineering. The basic principles of ballistic science are developed from a comprehensive definition of the aerodynamic forces that control the flight dynamics of symmetric projectiles. The author carefully starts with the basic vacuum point mass trajectory, adds the effects of drag, discusses the action of winds, simple flat fire approximations, Coriolis effects and concludes with the classic modified point mass trajectories. Included in the discussion are analytical methods, change of variables from time to distance, numerical solutions and a chapter on the Siacci Method. The Siacci Method provides a historical perspective for computing flat fire trajectories by simple quadrature and is used in the sporting arms industy. The final six chapters of the book present an extensive physical and mathematical analysis of the motion of symmetric projectiles. The linearized equations of angular and swerving motion are derived in detail. The effects of mass asymmetry, in-bore yaw, cross wind and launch in a slipstream are discussed. Special consideration is given to the derivation and explanation of aerodynamic jump. These subjects are then expanded to include a complete chapter on nonlinear aerodynamic forces and moments. The final chapter in the book presents an overview of experimental methods for measuring the flight dynamics of projectiles. The great forte of Modern Exterior Ballistics is the author's effort to provide many fine specific examples of projectile motion illustrating key flight behaviors. The extensive collection of data on projectiles from small arms to artillery used to substantiate calculations and examples is alone a valuable reference. The ultimate joy of the book is the incomparable comprehensive set of flow field shadow graphs illustrating the entire spectrum of projectile flight from subsonic, through transonic and supersonic. The volume is a necessary addition to any undergraduate or graduate course in flight dynamics.
Download or read book Classical Groups Derangements and Primes written by Timothy C. Burness and published by Cambridge University Press. This book was released on 2016-01-15 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classical theorem of Jordan states that every finite transitive permutation group contains a derangement. This existence result has interesting and unexpected applications in many areas of mathematics, including graph theory, number theory and topology. Various generalisations have been studied in more recent years, with a particular focus on the existence of derangements with special properties. Written for academic researchers and postgraduate students working in related areas of algebra, this introduction to the finite classical groups features a comprehensive account of the conjugacy and geometry of elements of prime order. The development is tailored towards the study of derangements in finite primitive classical groups; the basic problem is to determine when such a group G contains a derangement of prime order r, for each prime divisor r of the degree of G. This involves a detailed analysis of the conjugacy classes and subgroup structure of the finite classical groups.
Download or read book Representations of Lie Algebras written by Anthony Henderson and published by Cambridge University Press. This book was released on 2012-08-16 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author's own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics.
Download or read book Lectures on Real Analysis written by Finnur Lárusson and published by Cambridge University Press. This book was released on 2012-06-07 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to real analysis for undergraduates. Concise yet comprehensive, it includes a gentle introduction to metric spaces.
Download or read book Geometric Approaches to Differential Equations written by Peter J. Vassiliou and published by Cambridge University Press. This book was released on 2000-03-13 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise and accessible introduction to the wide range of topics in geometric approaches to differential equations.
Download or read book Notes on Counting An Introduction to Enumerative Combinatorics written by Peter J. Cameron and published by Cambridge University Press. This book was released on 2017-06-21 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study. The author provides proofs for many of the theorems to show the range of techniques available, and uses examples to link enumerative combinatorics to other areas of study. The main section of the book introduces the key tools of the subject (generating functions and recurrence relations), which are then used to study the most important combinatorial objects, namely subsets, partitions, and permutations of a set. Later chapters deal with more specialised topics, including permanents, SDRs, group actions and the Redfield–Pólya theory of cycle indices, Möbius inversion, the Tutte polynomial, and species.
Download or read book Wavelets written by Peter Nickolas and published by Cambridge University Press. This book was released on 2017-01-11 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author's elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and Hilbert spaces, the book then shifts its focus to wavelets specifically, starting with the Haar wavelet, broadening to wavelets in general, and culminating in the construction of the Daubechies wavelets. All of this is done using only elementary methods, bypassing the use of the Fourier integral transform. Arguments using the Fourier transform are introduced in the final chapter, and this less elementary approach is used to outline a second and quite different construction of the Daubechies wavelets. The main text of the book is supplemented by more than 200 exercises ranging in difficulty and complexity.
Download or read book Unitary Reflection Groups written by Gustav I. Lehrer and published by Cambridge University Press. This book was released on 2009-08-13 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unitary reflection is a linear transformation of a complex vector space that fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or an arrangement of mirrors. This book gives a complete classification of all finite groups which are generated by unitary reflections, using the method of line systems. Irreducible groups are studied in detail, and are identified with finite linear groups. The new invariant theoretic proof of Steinberg's fixed point theorem is treated fully. The same approach is used to develop the theory of eigenspaces of elements of reflection groups and their twisted analogues. This includes an extension of Springer's theory of regular elements to reflection cosets. An appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises, ranging in difficulty from elementary to research level, this book is ideal for honours and graduate students, or for researchers in algebra, topology and mathematical physics. Book jacket.
Download or read book Quantum Groups written by Ross Street and published by Cambridge University Press. This book was released on 2007-01-18 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to learn algebraic concepts and techniques. A key to understanding these new developments is categorical duality. A quantum group is a vector space with structure. Part of the structure is standard: a multiplication making it an 'algebra'. Another part is not in those standard books at all: a comultiplication, which is dual to multiplication in the precise sense of category theory, making it a 'coalgebra'. While coalgebras, bialgebras and Hopf algebras have been around for half a century, the term 'quantum group', along with revolutionary new examples, was launched by Drinfel'd in 1986.
Download or read book Introduction to the Analysis of Normed Linear Spaces written by J. R. Giles and published by Cambridge University Press. This book was released on 2000-03-13 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. The reader need only be familiarity with elementary real and complex analysis, linear algebra and have studied a course in the analysis of metric spaces; knowledge of integration theory or general topology is not required. The text concerns the structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. The implications of the general theory are illustrated with a great variety of example spaces.
