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Journeys of the Mind
Ethel Matson is a sensible, semi-retired professor whose life up to this point has been concerned with the pursuit of rational, tangible knowledge and experiences. Then she starts having both strange encounters and incredibly lucid dreams. In these supposed dreams, Ethel and her enigmatic and unruly companion, Willy (whom Ethels husband regards as a figment of her imagination) set about exploring the core essences of ideas shed only mildly wondered about before, like the interdependence of faith and science -- and life and death. Is her subconscious mind suddenly springing to life, or is there something more going on? Journeys of the Mind: The Amazing Adventures of Ethel and Willy, by author and retired professor Carol Edler Baumann, brings us twenty-seven interconnected episodes in the unusual experiences of Ethel Matson. As we delve into the conscious world, the subconscious world, and the world that lies between, we are faced with the questions of what is real and what is imagined, and whether reality actually matters if in the end we discover truth and everlasting love.
Mathematics and Computer Science III
Mathematics and Computer Science III contains invited and contributed papers on combinatorics, random graphs and networks, algorithms analysis and trees, branching processes, constituting the Proceedings of the Third International Colloquium on Mathematics and Computer Science, held in Vienna in September 2004. It addresses a large public in applied mathematics, discrete mathematics and computer science, including researchers, teachers, graduate students and engineers.
Difference Equations
In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly. The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been class-tested, they also suggest further problems and possible research topics.
Topics in Classical Analysis and Applications in Honor of Daniel Waterman
This book covers a wide range of topics, from orthogonal polynomials to wavelets. It contains several high-quality research papers by prominent experts exploring trends in function theory, orthogonal polynomials, Fourier series, approximation theory, theory of wavelets and applications. The book provides an up-to-date presentation of several important topics in Classical and Modern Analysis. The interested reader will also be able to find stimulating open problems and suggestions for future research.
Polynomials
The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over 300 problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answers to many of the exercises and solutions to all of the problems. In addition, 69 "explorations" invite the reader to investigate research problems and related topics.
Selected Papers
This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".
