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The Least Square Solution to an Overdetermined System: Theory and Applications (SpringerBriefs in Applied Sciences and Technology) - Softcover
Synopsis
This book addresses a gap in elementary linear algebra: while solving systems of linear equations with multiple solutions is standard, analyzing overdetermined systems with no solution—common in practical applications—is rarely taught. We develop a theory for such systems using the concept of least-squares solutions, grounded entirely in elementary linear algebra. Unlike approaches based on the Moore–Penrose inverse, which require advanced tools such as singular value decomposition, our method relies only on basic principles yet performs effectively in real-world contexts. Practical applications include non-destructive inspection of concrete structures, GNSS-based position detection, and the implementation of computerized tomography. Designed as a monograph for researchers and educators, this book can also serve as a graduate or advanced undergraduate textbook for students interested in applied mathematics. It is equally suitable for senior undergraduate research projects and for engineers seeking accessible mathematical tools for practical problems.
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About the Author
Takashi Takiguchi is an associate professor at National Defense Academy of Japan.
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The Least Square Solution to an Overdetermined System
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Springer, Berlin, Springer Jul 2026, 2026
ISBN 10: 9819200636
ISBN 13: 9789819200634
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book addresses a gap in elementary linear algebra: while solving systems of linear equations with multiple solutions is standard, analyzing overdetermined systems with no solution common in practical applications is rarely taught. We develop a theory for such systems using the concept of least-squares solutions, grounded entirely in elementary linear algebra. Unlike approaches based on the Moore Penrose inverse, which require advanced tools such as singular value decomposition, our method relies only on basic principles yet performs effectively in real-world contexts. Practical applications include non-destructive inspection of concrete structures, GNSS-based position detection, and the implementation of computerized tomography. Designed as a monograph for researchers and educators, this book can also serve as a graduate or advanced undergraduate textbook for students interested in applied mathematics. It is equally suitable for senior undergraduate research projects and for engineers seeking accessible mathematical tools for practical problems. 84 pp. Englisch. Seller Inventory # 9789819200634
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The Least Square Solution to an Overdetermined System: Theory and Applications
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The Least Square Solution to an Overdetermined System: Theory and Applications
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The Least Square Solution to an Overdetermined System: Theory and Applications
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The Least Square Solution to an Overdetermined System : Theory and Applications
Published by
Springer, Berlin, Springer, 2026
ISBN 10: 9819200636
ISBN 13: 9789819200634
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book addresses a gap in elementary linear algebra: while solving systems of linear equations with multiple solutions is standard, analyzing overdetermined systems with no solution common in practical applications is rarely taught. We develop a theory for such systems using the concept of least-squares solutions, grounded entirely in elementary linear algebra. Unlike approaches based on the Moore Penrose inverse, which require advanced tools such as singular value decomposition, our method relies only on basic principles yet performs effectively in real-world contexts. Practical applications include non-destructive inspection of concrete structures, GNSS-based position detection, and the implementation of computerized tomography. Designed as a monograph for researchers and educators, this book can also serve as a graduate or advanced undergraduate textbook for students interested in applied mathematics. It is equally suitable for senior undergraduate research projects and for engineers seeking accessible mathematical tools for practical problems. Seller Inventory # 9789819200634
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The Least Square Solution to an Overdetermined System | Theory and Applications
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Taschenbuch. Condition: Neu. The Least Square Solution to an Overdetermined System | Theory and Applications | Takashi TAKIGUCHI | Taschenbuch | xiii | Englisch | 2026 | Springer | EAN 9789819200634 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 136216704