front cover of Data Fusion in Wireless Sensor Networks
Data Fusion in Wireless Sensor Networks
A statistical signal processing perspective
Domenico Ciuonzo
The Institution of Engineering and Technology, 2019
The role of data fusion has been expanding in recent years through the incorporation of pervasive applications, where the physical infrastructure is coupled with information and communication technologies, such as wireless sensor networks for the internet of things (IoT), e-health and Industry 4.0. In this edited reference, the authors provide advanced tools for the design, analysis and implementation of inference algorithms in wireless sensor networks.
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front cover of The Decomposition of Figures Into Smaller Parts
The Decomposition of Figures Into Smaller Parts
Vladimir Grigor'evich Boltyanskii and Izrail' Tsudikovich Gokhberg
University of Chicago Press, 1980
In contrast to the vast literature on Euclidean geometry as a whole, little has been published on the relatively recent developments in the field of combinatorial geometry. Boltyanskii and Gohberg's book investigates this area, which has undergone particularly rapid growth in the last thirty years. By restricting themselves to two dimensions, the authors make the book uniquely accessible to interested high school students while maintaining a high level of rigor. They discuss a variety of problems on figures of constant width, convex figures, coverings, and illumination. The book offers a thorough exposition of the problem of cutting figures into smaller pieces. The central theorem gives the minimum number of pieces into which a figure can be divided so that all the pieces are of smaller diameter than the original figure. This theorem, which serves as a basis for the rest of the material, is proved for both the Euclidean plane and Minkowski's plane.
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front cover of Design of High Frequency Integrated Analogue Filters
Design of High Frequency Integrated Analogue Filters
Yichuang Sun
The Institution of Engineering and Technology, 2002
Analogue filters will always be needed for interfacing between digital systems and the 'real' analogue world. In fact, the high frequency integrated analogue filter has become a key component in achieving ubiquitous communication and computing. In recent years, the renewed interest in analogue, mixed-signal and RF circuits due to the need for system-on-chip design and the market for wireless communications has led to a new peak of research into high frequency integrated analogue filters.
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Dimension Theory in Dynamical Systems
Contemporary Views and Applications
Yakov B. Pesin
University of Chicago Press, 1997
The principles of symmetry and self-similarity structure nature's most beautiful creations. For example, they are expressed in fractals, famous for their beautiful but complicated geometric structure, which is the subject of study in dimension theory. And in dynamics the presence of invariant fractals often results in unstable "turbulent-like" motions and is associated with "chaotic" behavior.

In this book, Yakov Pesin introduces a new area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. Focusing on invariant fractals and their influence on stochastic properties of systems, Pesin provides a comprehensive and systematic treatment of modern dimension theory in dynamical systems, summarizes the current state of research, and describes the most important accomplishments of this field.

Pesin's synthesis of these subjects of broad current research interest will be appreciated both by advanced mathematicians and by a wide range of scientists who depend upon mathematical modeling of dynamical processes.
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front cover of Discipline and Experience
Discipline and Experience
The Mathematical Way in the Scientific Revolution
Peter Dear
University of Chicago Press, 1995
Although the Scientific Revolution has long been regarded as the beginning of modern science, there has been little consensus about its true character. While the application of mathematics to the study of the natural world has always been recognized as an important factor, the role of experiment has been less clearly understood.

Peter Dear investigates the nature of the change that occurred during this period, focusing particular attention on evolving notions of experience and how these developed into the experimental work that is at the center of modern science. He examines seventeenth-century mathematical sciences—astronomy, optics, and mechanics—not as abstract ideas, but as vital enterprises that involved practices related to both experience and experiment. Dear illuminates how mathematicians and natural philosophers of the period—Mersenne, Descartes, Pascal, Barrow, Newton, Boyle, and the Jesuits—used experience in their argumentation, and how and why these approaches changed over the course of a century. Drawing on mathematical texts and works of natural philosophy from all over Europe, he describes a process of change that was gradual, halting, sometimes contradictory—far from the sharp break with intellectual tradition implied by the term "revolution."
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Diversifying STEM
Multidisciplinary Perspectives on Race and Gender
Ebony O. McGee
Rutgers University Press, 2020
2020 Choice​ Outstanding Academic Title

Research frequently neglects the important ways that race and gender intersect within the complex structural dynamics of STEM. Diversifying STEM fills this void, bringing together a wide array of perspectives and the voices of a number of multidisciplinary scholars. The essays cover three main areas: the widely-held ideology that science and mathematics are “value-free,” which promotes pedagogies of colorblindness in the classroom as well as an avoidance of discussions around using mathematics and science to promote social justice; how male and female students of color experience the intersection of racist and sexist structures that lead to general underrepresentation and marginalization; and recognizing that although there are no quick fixes, there exists evidence-based research suggesting concrete ways of doing a better job of including individuals of color in STEM. As a whole this volume will allow practitioners, teachers, students, faculty, and professionals to reimagine STEM across a variety of educational paradigms, perspectives, and disciplines, which is critical in finding solutions that broaden the participation of historically underrepresented groups within the STEM disciplines. 
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front cover of Duel at Dawn
Duel at Dawn
Heroes, Martyrs, and the Rise of Modern Mathematics
Amir Alexander
Harvard University Press, 2011
In the fog of a Paris dawn in 1832, Évariste Galois, the 20-year-old founder of modern algebra, was shot and killed in a duel. That gunshot, suggests Amir Alexander, marked the end of one era in mathematics and the beginning of another.Arguing that not even the purest mathematics can be separated from its cultural background, Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, Alexander says, mathematicians were idealized as child-like, eternally curious, and uniquely suited to reveal the hidden harmonies of the world. But in the nineteenth century, brilliant mathematicians like Galois became Romantic heroes like poets, artists, and musicians. The ideal mathematician was now an alienated loner, driven to despondency by an uncomprehending world. A field that had been focused on the natural world now sought to create its own reality. Higher mathematics became a world unto itself—pure and governed solely by the laws of reason.In this strikingly original book that takes us from Paris to St. Petersburg, Norway to Transylvania, Alexander introduces us to national heroes and outcasts, innocents, swindlers, and martyrs–all uncommonly gifted creators of modern mathematics.
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front cover of Dynamics, Geometry, Number Theory
Dynamics, Geometry, Number Theory
The Impact of Margulis on Modern Mathematics
Edited by David Fisher, Dmitry Kleinbock, and Gregory Soifer
University of Chicago Press, 2022
This definitive synthesis of mathematician Gregory Margulis’s research brings together leading experts to cover the breadth and diversity of disciplines Margulis’s work touches upon.
 
This edited collection highlights the foundations and evolution of research by widely influential Fields Medalist Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics; his ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. Dynamics, Geometry, Number Theory introduces these areas, their development, their use in current research, and the connections between them. Divided into four broad sections—“Arithmeticity, Superrigidity, Normal Subgroups”; “Discrete Subgroups”; “Expanders, Representations, Spectral Theory”; and “Homogeneous Dynamics”—the chapters have all been written by the foremost experts on each topic with a view to making them accessible both to graduate students and to experts in other parts of mathematics. This was no simple feat: Margulis’s work stands out in part because of its depth, but also because it brings together ideas from different areas of mathematics. Few can be experts in all of these fields, and this diversity of ideas can make it challenging to enter Margulis’s area of research. Dynamics, Geometry, Number Theory provides one remedy to that challenge.
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