geometric algebra computing (141 Ergebnisse)

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Taschenbuch. Zustand: Neu. Neuware -The author defines ¿Geometric Algebra Computing¿ as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics.This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications.The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 224 pp. Englisch.

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Buch. Zustand: Neu. Neuware -The author defines ¿Geometric Algebra Computing¿ as the geometrically intuitive development of algorithms using geometric algebra with a focus on their efficient implementation, and the goal of this book is to lay the foundations for the widespread use of geometric algebra as a powerful, intuitive mathematical language for engineering applications in academia and industry. The related technology is driven by the invention of conformal geometric algebra as a 5D extension of the 4D projective geometric algebra and by the recent progress in parallel processing, and with the specific conformal geometric algebra there is a growing community in recent years applying geometric algebra to applications in computer vision, computer graphics, and robotics.This book is organized into three parts: in Part I the author focuses on the mathematical foundations; in Part II he explains the interactive handling of geometric algebra; and in Part III he deals with computing technology for high-performance implementations based on geometric algebra as a domain-specific language in standard programming languages such as C++ and OpenCL. The book is written in a tutorial style and readers should gain experience with the associated freely available software packages and applications.The book is suitable for students, engineers, and researchers in computer science, computational engineering, and mathematics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 224 pp. Englisch.

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The goal of Geometric Algebra Applications Vol. III: Integral Transforms, Machine Learning, and Quantum Computing is to present a unified mathematical treatment of diverse problems in the general domain like Clifford Fourier Transforms, Deep Learning and Geometric Algebra Convolutional Neural Networks, Quaternion Quantum Fourier Transform and Geometric Quantum Computing.Topics and features Introduces nonspecialists to Clifford, or geometric algebra and by example encourages the reader to learn to compute using geometric entities and geometric formulations. A study in depth for applications of Lie group theory, Lie algebra, projective geometry, and the algebra of incidence using the conformal geometric algebra. Features the computing frameworks of the linear model n-dimensional affine plane and the nonlinear model of Euclidean space known as the horosphere, and addresses the relationships of these models to conformal, affine, and projective geometries. Includes a thorough study of Integral transforms: Quaternion and Clifford Transforms, quaternion analytic signal, monogenic signals, Hilbert transform, Riesz transform, Clifford Fourier Transform, Quaternion Wavelet transforms, Quaternion Quantum Fourier Transform, 3D Radon Transform and Hough-Transform in geometric algebra. Color image processing using the color model HSV, Quaternion Split rotors and motors, and the space-time Lorentz transform. Geometric neural computing using Split Quaternions, Geometric Algebra neural networks, Clifford Support Vector Machine and Neuro Control. Thorough discussion of several tasks of computer vision, graphics, neurocomputing, and robotics. machine learning, Deep Learning and CNNs, and Geometric Quantum Computing using the geometric algebra framework. 130 exercises and hints for the development of future computer software packages for extensive calculations in geometric algebra. An entire section is dedicated to explaining how one should write the subroutines in C++, Phyton, Matlab, and Maple to carry out efficient geometric computations in the geometric algebra framework. Furthermore, it is shown how program code can be optimized for real-time computations.The book is an essential resource for applied mathematicians, physicists, computer scientists, graphics engineering, AI and Machine Learning researchers, roboticists and mechanical and electrical engineers, neurocomputing researchers, neuroscientists, and quantum computing specialists. It clarifies and demonstrates the importance of geometric computing for building autonomous systems and pushes forward advances in geometric cybernetics research.

Softcover. Zustand: New. Zustand des Schutzumschlags: no dj. First. Geometric Algebra in Quantum Computing and Cryptography and Security and Privacy and Compliance presents a cutting-edge exploration of the application of geometric algebra to quantum computing and cryptography. This book examines the ways in which geometric algebra can be employed to enhance security, privacy, and compliance in quantum computing and cryptography. By exploring the intersection of geometric algebra, quantum computing, and cryptography, readers will gain a deeper understanding of the underlying principles and mechanisms that govern the behavior of quantum systems and the impact of geometric algebra on these systems. Geometric Algebra in Quantum Computing and Cryptography and Security and Privacy and Compliance is a must-read for researchers and scientists seeking to advance their knowledge of quantum computing and cryptography. Publication Year: 2025. SHIPPING TERMS - Depending on your location we may ship your book from the following locations: France, United Kingdom, India, Australia, Canada or the USA. This item is printed on demand.

Softcover. Zustand: New. Zustand des Schutzumschlags: no dj. First. Geometric Algebra in Quantum Computing and Cryptography and Security and Privacy is a groundbreaking work that explores the application of geometric algebra to the fields of quantum computing and cryptography. This innovative book presents a novel approach to the study of quantum systems and cryptographic protocols, leveraging the powerful tools and techniques of geometric algebra to reveal new insights and perspectives. By examining the geometric structures underlying quantum mechanics and cryptography, the book provides a deeper understanding of the fundamental principles and mechanisms that govern these complex systems. Publication Year: 2025. SHIPPING TERMS - Depending on your location we may ship your book from the following locations: France, United Kingdom, India, Australia, Canada or the USA. This item is printed on demand.

Softcover. Zustand: New. Zustand des Schutzumschlags: no dj. First. Geometric Algebra in Quantum Computing provides a groundbreaking exploration of the intersection between geometric algebra and quantum computing. This book presents a novel approach to understanding the complex relationships between geometric algebra, Clifford algebras, and quantum mechanics, highlighting the critical role of geometric algebra in representing and manipulating quantum states. By applying advanced mathematical techniques, researchers can better grasp the intricate mechanisms governing quantum computing, ultimately informing strategies for quantum information processing and simulation. The book's in-depth coverage of theoretical foundations, numerical methods, and practical applications makes it an essential resource for scholars, researchers, and professionals seeking to advance our understanding of quantum computing. Publication Year: 2025. SHIPPING TERMS - Depending on your location we may ship your book from the following locations: France, United Kingdom, India, Australia, Canada or the USA. This item is printed on demand.

Softcover. Zustand: New. Zustand des Schutzumschlags: no dj. First. Geometric Algebra in Quantum Computing and Cryptography is a pioneering work that explores the application of geometric algebra to quantum computing and cryptography. This book examines the fundamental principles of geometric algebra and its potential for simplifying complex mathematical operations in quantum computing. Through a series of in-depth analyses and case studies, Geometric Algebra in Quantum Computing and Cryptography presents a compelling case for the use of geometric algebra in quantum cryptography, highlighting its potential for enhancing security and efficiency. This book is an essential resource for researchers and developers working in the fields of quantum computing and cryptography. Publication Year: 2025. SHIPPING TERMS - Depending on your location we may ship your book from the following locations: France, United Kingdom, India, Australia, Canada or the USA. This item is printed on demand.