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Advanced Linear Algebra

The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with many important applications.

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Adaptronics and Smart Structures : Basics, Materials, Design, and Applications

Adaptronic structures and systems can adapt automatically to variable operating and environmental conditions through the use of feedback control. But in contrast to conventional control loops, in which each function is fulfilled by a separate component, adaptronics is characterized by multifunctional components that are preferably integrated into the structure or the system. The goal is a lightweight and simple construction for conserving material and energy resources. The authors of this book have taken on the task of displaying the current state of the art in this highly modern and strongly interdisciplinary field. Selected application examples are also presented and current development trends demonstrated.

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Acoustic Emission Testing : Basics for Research - Applications in Civil Engineering

The book covers all levels from the description of AE basics for AE beginners (level of a student) to sophisticated AE algorithms and applications to real large-scale structures as well as the observation of the cracking process in laboratory specimen to study fracture processes.

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A Software-Defined GPS and Galileo Receiver : A Single-Frequency Approach

Satellite navigation receivers are used to receive, process, and decode space-based navigation signals, such as those provided by the GPS constellation of satellites. There is an increasing need for a unified open platform that will enable enhanced receiver development and design, as well as cost-effective testing procedures for various applications. This book provide hands-on exploration of new technologies in this rapidly growing field. One of the unique features of the work is the interactive approach used, giving readers the ability to construct their own Global Navigation Satellite Systems (GNSS) receivers. To construct such a reconfigurable receiver with a wide range of applications, the authors discuss receiver architecture based on software-defined radio (SDR) techniques. The presentation unfolds in a systematic, user-friendly style and goes from the basics to cutting-edge research.

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A Short Course in Quantum Information Theory : An Approach From Theoretical Physics

This short and concise primer takes the vantage point of theoretical physics and the unity of physics. It sets out to strip the burgeoning field of quantum information science to its basics by linking it to universal concepts in physics.

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