Topics in Quaternion Linear Algebra (Princeton Series in Applied Mathematics, 45)

Name: Topics in Quaternion Linear Algebra (Princeton Series in Applied Mathematics, 45)
Price: 85.00 USD
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Book Synopsis: Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion linear algebra. It features previously unpublished research results with complete proofs and many open problems at various levels, as well as more than 200 exercises to facilitate use by students and instructors. Applications presented in the book include numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations.

Designed for researchers and students across a variety of disciplines, the book can be read by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it useful as a complementary text for undergraduate linear algebra courses or as a basis for a graduate course in linear algebra. The open problems can serve as research projects for undergraduates, topics for graduate students, or problems to be tackled by professional research mathematicians. The book is also an invaluable reference tool for researchers in fields where techniques based on quaternion analysis are used.

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Looking for a comprehensive guide to quaternion linear algebra? Look no further! Introducing the Quaternion Linear Algebra book from the prestigious Princeton Series in Applied Mathematics. Quaternions are an invaluable tool for representing three-dimensional rotations, with applications ranging from mathematics and physics to computer science and engineering. And now, you can dive into this fascinating subject with ease.

This groundbreaking book is the first of its kind to offer a systematic and accessible exposition of quaternion linear algebra. Packed with previously unpublished research results and complete proofs, it provides a solid foundation for both students and researchers. With over 200 exercises, this book is designed to facilitate learning and understanding, making it perfect for self-study or classroom use.

But it doesn't stop there! This book goes beyond theory and delves into real-world applications. Discover how quaternion linear algebra can be applied to numerical ranges, invariant semidefinite subspaces, differential equations with symmetries, and matrix equations. The practical knowledge gained from this book will undoubtedly enhance your understanding and application of quaternion analysis in your field of expertise.

Whether you're a researcher, student, or professional, this book is a must-have addition to your library. It can be easily comprehended by anyone with a background in linear algebra, rudimentary complex analysis, and some multivariable calculus. Instructors will find it a valuable complementary text for undergraduate linear algebra courses or as the foundation for a graduate course in linear algebra. The open problems presented in the book also serve as excellent research projects for students or professionals looking to push the boundaries of quaternion analysis.

Don't miss out on the opportunity to master the complex world of quaternion linear algebra. Take the first step towards unlocking new possibilities and advancing your knowledge. Order your copy of the Quaternion Linear Algebra book today!

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