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Listed alphabetically below are some key textbooks, authored or contributed to by professors within UVM's College of Engineering and Mathematical Sciences (CEMS). Our gratitude goes to these exceptional educators who have changed how higher education is taught throughout the world.
Co-authored by Dr. Josh Bongard, professor in the Department of Computer Science, How the Body Shapes the Way We Think: A New View of Intelligence examines how the body influences our thinking when it seems obvious that the brain controls the body. This book demonstrates that thought is not independent of the body but is tightly constrained, and at the same time enabled, by it. The kinds of thoughts we are capable of have their foundation in our embodiment in our morphology and the material properties of our bodies.
This crucial notion of embodiment underlies fundamental changes in the field of artificial intelligence over the past two decades. Pfeifer and Bongard use the basic methodology of artificial intelligence "understanding by building" to describe their insights. If we understand how to design and build intelligent systems, they reason, we will better understand intelligence in general.
This book contains basic concepts and recent developments in robotics, biology, neuroscience, and psychology to outline a possible theory of intelligence, and illustrates applications of such a theory in ubiquitous computing, business and management, and the psychology of human memory. Embodied intelligence, as described by Pfeifer and Bongard, has important implications for our understanding of both natural and artificial intelligence.
For more information, contact Josh Bongard at firstname.lastname@example.org.
Co-authored by Dr. James W. Burgmeier, professor in the Department of Mathematics and Statistics, Calculus with Applications is intended for calculus courses in departments of mathematics and management science. Rather than reviewing algebra at the beginning of the text, algebraic steps are included in the exposition, in the examples and in the answers to exercises.
For more information, contact James Burgmeier at email@example.com.
Co-authored by Dr. Jeffrey Dinitz, professor in the Department of Mathematics and Statistics, The CRC Handbook of Combinatorial Designs contains a variety of examples of combinatorial designs. An example from page 357 states, "There is a point-line duality for GQ (of order (s,t)) for which in any definition or theorem the words "point" and "line" are interchanged and the parameters s and t are interchanged."
For more information, contact Jeffrey Dinitz at Dinitz@cems.uvm.edu.
In its 3rd edition, this book is the bestseller for its topic, authored by Drs. Richard Foote and David Dummit, professors in the Department of Mathematics and Statistics. Abstract Algebra carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the reader's understanding. In this way, readers gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings. The emphasis throughout is to motivate the introduction and development of important algebraic concepts using as many examples as possible. It has changed how students around the world learn abstract algebra.
For more information contact, Richard Foote at firstname.lastname@example.org or David Dummit at Dummit@cems.uvm.edu.
Authored by Dr. Domenico Grasso, Dean of UVM's College of Engineering and Mathematical Sciences (CEMS), Hazardous Waste Site Remediation is an outstanding textbook that reviews specific treatment processes, as well as pertinent basic concepts in organic geochemistry, material balance mass transfer, thermodynamics, and kinetics. Following a quantitative approach to source control, the text covers regulations, materials handling, engineering principles, soil vapor extraction, chemical extraction and soil washing, solidification and stabilization, and chemical destruction. It also explores topics in bioremediation, thermal processes, risk assessment, and waste minimization.
For more information, contact Domencio Grasso at email@example.com
Co-authored by Dr. Larry Haugh, professor emeritus of the Department of Mathematics and Statistics, Statistical Case Studies: A Collaboration Between Academe and Industry contains 20 case studies that use actual data sets that have not been simplified for classroom use. Each case study is a collaboration between statisticians from academe and from business, industry, or government. This book is the result of a collaborative workshop of statisticians focusing on academic-industrial partnerships. The cases come from a wide variety of application areas, including biology/environment, medical and health care, pharmaceutical, marketing and survey research, and manufacturing.
For more information, contact Larry Haugh at Haugh@cems.uvm.edu.
Authored by Dr. Jeffrey S. Marshall, professor in the School of Engineering, Inviscid Incompressible Flow is a comprehensive, modern account of the flow of inviscid incompressible fluids and a one-stop resource for students, instructors, and professionals that goes beyond analytical solutions for irrotational fluids to provide practical answers to real-world problems involving complex boundaries. The book offers extensive coverage of vorticity transport as well as computational methods for inviscid flows, and it provides a solid foundation for further studies in fluid dynamics. Inviscid Incompressible Flow supplies a rigorous introduction to the continuum mechanics of fluid flows. It is also an excellent reference for professionals and researchers in engineering, physics, and applied mathematics.
For more information, contact Jeffrey Marshall at firstname.lastname@example.org.
Co-authored by Dr. Ruth M. Mickey, professor in the Department of Mathematics and Statistics, Applied Statistics: Analysis of Variance and Regression is a reference for the practitioner and a self-contained textbook for advanced students. Topics include discussion of mixed models and random effects, with emphasis on regression and data screening using graphs and challenging exercises.
For more information, contact Ruth Mickey at email@example.com.
Authored by Dr. Kurt Oughstun, professor in the School of Engineering, Electromagnetic and Optical Pulse Propogation 1: Spectral Representations in Temporally Dispersive Media provides meaningful exercises making the book a useful graduate-level text in electromagnetic wave theory for physics, electrical engineering and materials science programs. Students and researchers alike will obtain a better understanding of time domain electromagnetics as it applies to electromagnetic radiation and wave propagation theory with applications to ground- and foliage-penetrating radar, medical imaging, communications, and the health and safety issues associated with ultrawideband pulsed fields.
For more information, contact Kurt Oughstun at firstname.lastname@example.org.
Written by Dr. George F. Pinder, professor in the School of Engineering with secondary appointments in the Department of Mathematics and Statistics and the Department of Computer Science, Essentials of Multiphase Flow and Transport in Porous Media contains the fundamental concepts that underlie the physics of multiphase flow and transport in porous media and demonstrates the mathematical-physical ways to express and address multiphase flow problems. The textbook provides a logical, step-by-step introduction to everything from the simple concepts to the advanced equations useful for addressing real-world problems like infiltration, groundwater contamination, and movement of non-aqueous phase liquids, allowing students to discover and apply the governing equations for application to these and other problems in light of the physics that influence system behavior.
For more information, visit georgepinder.com
Co-edited by Dr. Jonathan Sands, professor in the Department of Mathematics and Statistics, Stark's Conjectures: Recent Work and New Directions is suitable for graduate students and researchers interested in theory, focusing on Stark's conjectures formulated in the 1970s. These conjectures and their generalizations have been actively investigated leading to significant progress in algebraic number theory. This current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. Important contributors to the volume include Harold M. Stark, John Tate, and Barry Mazur.
For more information, contact Jonathan Sands at email@example.com.
Authored by Dr. Michael Wilson, professor in the Department of Mathematics and Statistics, Weighted Littlewood-Paley Theory and Exponential-Square Integrability contains new approaches to old results and is geared toward graduate students who have an understanding of measure theory and have seen some functional analysis.
The Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn't really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of infinite series of non-negative functions. Beginning in the 1980s, it was discovered that this control could be made much sharper than was previously suspected. This book tries to give a gentle, well-motivated introduction to those discoveries, the methods behind them, their consequences, and some of their applications.
For more information, contact Mike Wilson at firstname.lastname@example.org.
Co authored by Dr. Xindong Wu, professor in the Department of Computer Science, Knowledge Discovery in Multiple Databases provides a comprehensive introduction to the latest advancements in multi-database mining and presents a local-pattern analysis framework for pattern discovery from multiple data sources. Based on this framework, data preparation techniques in multiple databases, an application-independent database classification for data reduction, and efficient algorithms for pattern discovery from multiple databases are described. Knowledge Discovery in Multiple Databases is suitable for researchers, professionals and students in data mining, distributed data analysis, and machine learning, who are interested in multi-database mining. It is also appropriate for use as a text supplement for broader courses that might involve knowledge discovery in databases and data mining.
For more information, contact Xindong Wu at email@example.com.