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Geometric Algebra Applications Vol. II

Author: Eduardo Bayro-Corrochano

Publisher: Springer Nature

Published: 2020-06-19

Total Pages: 609

ISBN-13: 3030349780

This book presents a unified mathematical treatment of diverse problems in the general domain of robotics and associated fields using Clifford or geometric alge- bra. By addressing a wide spectrum of problems in a common language, it offers both fresh insights and new solutions that are useful to scientists and engineers working in areas related with robotics. It introduces non-specialists to Clifford and geometric algebra, and provides ex- amples to help readers learn how to compute using geometric entities and geomet- ric formulations. It also includes an in-depth study of applications of Lie group theory, Lie algebra, spinors and versors and the algebra of incidence using the universal geometric algebra generated by reciprocal null cones. Featuring a detailed study of kinematics, differential kinematics and dynamics using geometric algebra, the book also develops Euler Lagrange and Hamiltoni- ans equations for dynamics using conformal geometric algebra, and the recursive Newton-Euler using screw theory in the motor algebra framework. Further, it comprehensively explores robot modeling and nonlinear controllers, and discusses several applications in computer vision, graphics, neurocomputing, quantum com- puting, robotics and control engineering using the geometric algebra framework. The book also includes over 200 exercises and tips for the development of future computer software packages for extensive calculations in geometric algebra, and a entire section focusing on how to write the subroutines in C++, Matlab and Maple to carry out efficient geometric computations in the geometric algebra framework. Lastly, it shows how program code can be optimized for real-time computations. An essential resource for applied physicists, computer scientists, AI researchers, roboticists and mechanical and electrical engineers, the book clarifies and demon- strates the importance of geometric computing for building autonomous systems to advance cognitive systems research.

Numerical Linear Algebra and Applications

Author: Biswa Nath Datta

Publisher: SIAM

Published: 2010-01-01

Total Pages: 546

ISBN-13: 0898717655

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Full of features and applications, this acclaimed textbook for upper undergraduate level and graduate level students includes all the major topics of computational linear algebra, including solution of a system of linear equations, least-squares solutions of linear systems, computation of eigenvalues, eigenvectors, and singular value problems. Drawing from numerous disciplines of science and engineering, the author covers a variety of motivating applications. When a physical problem is posed, the scientific and engineering significance of the solution is clearly stated. Each chapter contains a summary of the important concepts developed in that chapter, suggestions for further reading, and numerous exercises, both theoretical and MATLAB and MATCOM based. The author also provides a list of key words for quick reference. The MATLAB toolkit available online, 'MATCOM', contains implementations of the major algorithms in the book and will enable students to study different algorithms for the same problem, comparing efficiency, stability, and accuracy.

Linear Algebra and Its Applications

Author: Gilbert Strang

Publisher:

Published: 2006

Total Pages: 487

ISBN-13: 9780534422004

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Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.

Financial Algebra

Author: Robert Gerver

Publisher: Cengage Learning

Published: 2017-02-15

Total Pages: 206

ISBN-13: 9781337271820

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By combining algebraic and graphical approaches with practical business and personal finance applications, Financial Algebra offers an applications based learning approach incorporating Algebra I, Algebra II, and Geometry topics. Explanations and exercises encourage students to be actively involved in applying mathematical ideas to their everyday lives -- credit, banking insurance, the stock market, independent living and more.

Linear Algebra with Applications

Author: Jeffrey Holt

Publisher: Macmillan Higher Education

Published: 2016-12-15

Total Pages: 817

ISBN-13: 1319057691

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Holt's Linear Algebra with Applications, Second Edition, blends computational and conceptual topics throughout to prepare students for the rigors of conceptual thinking in an abstract setting. The early treatment of conceptual topics in the context of Euclidean space gives students more time, and a familiar setting, in which to absorb them. This organization also makes it possible to treat eigenvalues and eigenvectors earlier than in most texts. Abstract vector spaces are introduced later, once students have developed a solid conceptual foundation. Concepts and topics are frequently accompanied by applications to provide context and motivation. Because many students learn by example, Linear Algebra with Applications provides a large number of representative examples, over and above those used to introduce topics. The text also has over 2500 exercises, covering computational and conceptual topics over a range of difficulty levels.

African Traditional Religion in Malawi

Author: James Amanze

Publisher: Kachere Series

Published: 2002

Total Pages: 236

ISBN-13:

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The first full-length study of one of the territorial rain cults; and an endeavour to preserve knowledge about a rapidly changing complex system of traditional beliefs, rituals, and practices, under the influence of Christianity, Islam, and western education. Within this cult, a person who is possessed by the spirit of the ancestors is commonly known as Bimbi: the seer, a charismatic and moral leader, to whom the community ascribes a prophetic role. As a religious system, the Bimbi cult has an intricate system of agricultural rituals such as rainmaking ceremonies, a distinctive unwritten theology, elaborate liturgical observances and an organised, inherited priesthood. Studying the Bimbi cult from a multi-disciplinary perspective, the author illustrated how traditional beliefs and practices still have a grip on people in the countryside, who live in an agricultural subsistence economy, and at the mercy of ecological forces. He contends that these forces will continue to shape their understanding of God, themselves and the world around them for many years to come, unless these people change from an agricultural to an industrial society.

Linear Algebra with Applications

Author: George Nakos

Publisher: PWS Publishing Company

Published: 1998

Total Pages: 694

ISBN-13:

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This text fully integrates applications and technology into the linear algebra course, and provides coverage of provocative topics, such as chaos theory and coding theory. The authors designed this text to be rich in examples, exercises, and applications. It includes all basic linear algebra theory, most important numerical methods, and incorporates technology without sacrificing material basic to the course.

Algebra 2, Student Edition

Author: McGraw Hill

Publisher: McGraw-Hill Education

Published: 2002-03-06

Total Pages: 0

ISBN-13: 9780078279997

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Glencoe Algebra 2 strengthens student understanding and provides the tools students need to succeed , from the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests.

Numerical Linear Algebra with Applications

Author: William Ford

Publisher: Academic Press

Published: 2014-09-14

Total Pages: 629

ISBN-13: 0123947847

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Numerical Linear Algebra with Applications is designed for those who want to gain a practical knowledge of modern computational techniques for the numerical solution of linear algebra problems, using MATLAB as the vehicle for computation. The book contains all the material necessary for a first year graduate or advanced undergraduate course on numerical linear algebra with numerous applications to engineering and science. With a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions, this book is ideal for solving real-world problems. The text consists of six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra. It explains in great detail the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra. In addition to examples from engineering and science applications, proofs of required results are provided without leaving out critical details. The Preface suggests ways in which the book can be used with or without an intensive study of proofs. This book will be a useful reference for graduate or advanced undergraduate students in engineering, science, and mathematics. It will also appeal to professionals in engineering and science, such as practicing engineers who want to see how numerical linear algebra problems can be solved using a programming language such as MATLAB, MAPLE, or Mathematica. Six introductory chapters that thoroughly provide the required background for those who have not taken a course in applied or theoretical linear algebra Detailed explanations and examples A through discussion of the algorithms necessary for the accurate computation of the solution to the most frequently occurring problems in numerical linear algebra Examples from engineering and science applications

Algebra and Applications 2

Author: Abdenacer Makhlouf

Publisher: John Wiley & Sons

Published: 2021-12-07

Total Pages: 336

ISBN-13: 1119880904

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This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the second of three volumes specifically focusing on algebra and its applications. Algebra and Applications 2 centers on the increasing role played by combinatorial algebra and Hopf algebras, including an overview of the basic theories on non-associative algebras, operads and (combinatorial) Hopf algebras. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Alongside the focal topic of combinatorial algebra and Hopf algebras, non-associative algebraic structures in iterated integrals, chronological calculus, differential equations, numerical methods, control theory, non-commutative symmetric functions, Lie series, descent algebras, Butcher groups, chronological algebras, Magnus expansions and Rota–Baxter algebras are explored. Algebra and Applications 2 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.