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Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 1400842069
Category : Mathematics
Languages : en
Pages : 285
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Book Description
We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion. Some images inside the book are unavailable due to digital copyright restrictions.
Author: Paul Nahin
Publisher: Princeton University Press
ISBN: 1400842069
Category : Mathematics
Languages : en
Pages : 285
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Book Description
We all played tag when we were kids. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are also at play in military strategy, high-seas chases by the Coast Guard, and even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics, from its classical analytical beginnings to the present day. Drawing on game theory, geometry, linear algebra, target-tracking algorithms, and much more, Nahin also offers an array of challenging puzzles with their historical background and broader applications. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis. Now with a gripping new preface on how the Enola Gay escaped the shock wave from the atomic bomb dropped on Hiroshima, this book will appeal to anyone interested in the mathematics that underlie pursuit and evasion. Some images inside the book are unavailable due to digital copyright restrictions.
Author: Tristan Needham
Publisher: Oxford University Press
ISBN: 9780198534464
Category : Mathematics
Languages : en
Pages : 620
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Book Description
This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.
Author: Edouard Goursat
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 568
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Book Description
Author: Walter Gander
Publisher: Springer Science & Business Media
ISBN: 9783540211273
Category : Computers
Languages : en
Pages : 508
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Book Description
Teaches problem-solving using two of the most important mathematical software packages: Maple and MATLAB. This new edition contains five completely new chapters covering new developments.
Author: Mendel Kleiner
Publisher: CRC Press
ISBN: 1439836183
Category : Technology & Engineering
Languages : en
Pages : 631
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Book Description
Electroacoustic devices such as microphones and loudspeakers are used everywhere from cars and mobile phones to homes, places of worship, and sports arenas. They are a key part of the modern communication society, helping to transmit information to our ears. A contemporary introduction to the subject, Electroacoustics explains the scientific and engineering principles behind the design of these sound transducers. It also examines the compromises that are necessary when designing transducers for use in the real world. Learn about Ultrasonic Transducers, Loudspeaker Enclosure Design, and More This accessible textbook book is based on the author’s extensive experience teaching electroacoustics to advanced graduate and graduate students. He uses the concept of electrical circuit analogies to help readers quickly grasp the fundamentals of acoustical and mechanical systems. The book covers both traditional electrodynamic audio and ultrasonic transducers and includes up-to-date material on arrays, planar transducers, loudspeaker enclosure design, and more. To meet the needs of a broad range of readers, the book also includes background material on room acoustics, electrical circuits, and electrical filters. Electroacoustic theory is explained in an easy-to-read style without resorting to matrix theory. Throughout, a wealth of illustrations and exercises make the ideas more concrete. Get a Solid Foundation in Electroacoustic Engineering Principles The book emphasizes multidisciplinary engineering principles, preparing students for the broad range of applications they may encounter in their research as well as later in their careers. The modern treatment of transducers also makes this a valuable reference for transducer designers, acoustical consultants, hobbyists, and anyone involved in electroacoustic design.
Author: Stanley J. Farlow
Publisher: Courier Corporation
ISBN: 0486135136
Category : Mathematics
Languages : en
Pages : 642
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Book Description
This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.
Author: Tristan Needham
Publisher: Princeton University Press
ISBN: 0691219893
Category : Mathematics
Languages : en
Pages : 584
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Book Description
An inviting, intuitive, and visual exploration of differential geometry and forms Visual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton’s geometrical methods to provide geometrical explanations of the classical results. In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss’s famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein’s field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell’s equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan’s method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms. Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 448
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Book Description
Author:
Publisher:
ISBN:
Category : Acoustical engineering
Languages : en
Pages : 922
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Book Description
Author: Harold Franck
Publisher: CRC Press
ISBN: 1420089013
Category : Law
Languages : en
Pages : 310
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Book Description
Over the past 25 years, Harold and Darren Franck have investigated hundreds of accidents involving vehicles of almost every shape, size, and type imaginable. In Mathematical Methods for Accident Reconstruction: A Forensic Engineering Perspective, these seasoned experts demonstrate the application of mathematics to modeling accident reconstructions
