{"product_id":"quaternion-algebra-in-3d-modeling-jamie-flux-9798345940266","title":"Quaternion Algebra in 3D Modeling and Simulation: With Python","description":"\u003cp\u003eDiscover the expansive world of quaternion algebra with this comprehensive guide tailored for electrical engineers. This book bridges theoretical concepts with practical applications, featuring detailed Python code examples for each chapter to enhance your learning experience. Whether you're involved in digital signal processing, computer graphics, or advanced control systems, this book is your key to mastering quaternions.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eKey Features: \u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003ePractical Python Examples: \u003c\/b\u003e Engage with hands-on Python code that complements each chapter's theoretical concepts.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eBreadth of Topics: \u003c\/b\u003e Covers the essentials of quaternion algebra and its vast applications in modern engineering and simulation.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eReal-World Applications: \u003c\/b\u003e Learn how quaternions are utilized in control systems, signal processing, robotics, and more.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eStep-by-Step Explanations: \u003c\/b\u003e Accessible content designed to guide you through complex mathematical transformations.\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003eInterdisciplinary Approach: \u003c\/b\u003e Suitable for both students and professionals in engineering, physics, computer science, and more.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eWhat You Will Learn: \u003c\/b\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eMaster the fundamentals of quaternion algebra and their application in 3D modeling.\u003c\/li\u003e\n\u003cli\u003eDevelop a deep understanding of quaternion multiplication and rotation composition.\u003c\/li\u003e\n\u003cli\u003eComprehend quaternion conjugates and inverses for rotation correction and normalization.\u003c\/li\u003e\n\u003cli\u003eRepresent 3D rotations with quaternions and derive the mathematical framework.\u003c\/li\u003e\n\u003cli\u003eExplore quaternion norm concepts and the significance of unit quaternions in rotations.\u003c\/li\u003e\n\u003cli\u003eConvert between rotation matrices and quaternions with precise algorithms.\u003c\/li\u003e\n\u003cli\u003eDelve into the quaternion exponential and logarithm functions for interpolation.\u003c\/li\u003e\n\u003cli\u003eImplement spherical linear interpolation (SLERP) using quaternions in simulations.\u003c\/li\u003e\n\u003cli\u003eSolve quaternion differential equations for rotational dynamics modeling.\u003c\/li\u003e\n\u003cli\u003eIntegrate quaternion-based rotational motions with advanced numerical techniques.\u003c\/li\u003e\n\u003cli\u003eApply quaternion calculus to model 3D kinematic motion in rigid bodies.\u003c\/li\u003e\n\u003cli\u003eRepresent angular velocity as quaternion derivatives in dynamic simulations.\u003c\/li\u003e\n\u003cli\u003eUse quaternions to compute spacecraft attitude in aerospace applications.\u003c\/li\u003e\n\u003cli\u003eDesign quaternion-based control algorithms for stable electrical systems.\u003c\/li\u003e\n\u003cli\u003eImplement quaternion state Kalman filters for sensor fusion and tracking.\u003c\/li\u003e\n\u003cli\u003eFormulate feedback control laws for attitude systems using quaternions.\u003c\/li\u003e\n\u003cli\u003eMaster advanced quaternion interpolation with Squad techniques.\u003c\/li\u003e\n\u003cli\u003eCreate smooth 3D animations using quaternion splines.\u003c\/li\u003e\n\u003cli\u003eOptimize 3D rendering pipelines with quaternion rotations in graphics.\u003c\/li\u003e\n\u003cli\u003eExtend Fourier transforms to quaternion functions for signal processing.\u003c\/li\u003e\n\u003cli\u003eExplore Clifford algebra relations in geometric computations with quaternions.\u003c\/li\u003e\n\u003cli\u003eCombine translations and rotations using dual quaternions.\u003c\/li\u003e\n\u003cli\u003eModel electromagnetic fields with quaternion algebra in simulations.\u003c\/li\u003e\n\u003cli\u003eFormulate and simulate Maxwell's equations using quaternionic representations.\u003c\/li\u003e\n\u003cli\u003eProcess 3D signals retaining spatial fidelity with quaternion transformations.\u003c\/li\u003e\n\u003cli\u003eUtilize quaternion filters for enhanced image and data processing.\u003c\/li\u003e\n\u003cli\u003eDevelop powerful quaternion neural network architectures for 3D learning.\u003c\/li\u003e\n\u003cli\u003eExtend Hilbert spaces to quaternions for quantum computing applications.\u003c\/li\u003e\n\u003cli\u003eSolve eigenvalue problems with quaternion matrices for stability analysis.\u003c\/li\u003e\n\u003cli\u003ePerform spectral decomposition using quaternionic algebra for signals.\u003c\/li\u003e\n\u003cli\u003eUse quaternions to model antenna orientations in electromagnetic simulations.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jamie Flux\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9798345940266\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Independently Published\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/08\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 382\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.12lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.79d","brand":"Jamie Flux","offers":[{"title":"Paperback","offer_id":48089218416895,"sku":"9798345940266","price":29.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d558c1fb-6cfc-47f4-94c9-856886e99be1.jpg?v=1769108892","url":"https:\/\/www.whiterainbookhouse.com\/products\/quaternion-algebra-in-3d-modeling-jamie-flux-9798345940266","provider":"WR Book House","version":"1.0","type":"link"}