This new edition of "Matrix Methods" emphasizes applications to Jordan-canonical forms, differential equations, and least squares. The revision now includes an entire new chapter on inner products, additional material on elementary row applications, and hundreds of new exercises. It provides an introduction to the functional approach to programming. It emphasizes the problem to be solved, not the programming language. It takes the view that all computer programs are a definition of a function. I...
With the ubiquitous use of digital imaging, a new profession has emerged: imaging engineering. Designed for newcomers to imaging science and engineering, Theoretical Foundations of Digital Imaging Using MATLAB (R) treats the theory of digital imaging as a specific branch of science. It covers the subject in its entirety, from image formation to image perfecting. Based on the author's 50 years of working and teaching in the field, the text first addresses the problem of converting images into d...
Expander Families and Cayley Graphs: A Beginner's Guide
by Mike Krebs and Anthony Shaheen
Structures of Domination in Graphs (Developments in Mathematics, #66)
This volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The book is divided into 3 parts. The first part focuses on several domination-related concepts: broadcast domination, alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor concepts, game domination, varieties of Roman domination and spectral graph theory. The second part covers domination in hypergraphs, ch...
Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. Written by celebrated mathematician and educator A.A. Kirillov, A Tale of Two Fractals is intended to hel...
Topological Crystallography (Surveys and Tutorials in the Applied Mathematical Sciences, #6)
by Toshikazu Sunada
Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements. Since then, geometry has taken its own path and the study of crystals has not been a central theme in mathematics, with the exception of Kepler's work on snowflakes. Only in the nineteenth century did mathematics begin to play a role in crystallo...
Graph Theory (Problem Books in Mathematics)
This is the first in a series of volumes, which provide an extensive overview of conjectures and open problems in graph theory. The readership of each volume is geared toward graduate students who may be searching for research ideas. However, the well-established mathematician will find the overall exposition engaging and enlightening. Each chapter, presented in a story-telling style, includes more than a simple collection of results on a particular topic. Each contribution conveys the history,...
Gaudi's dream which will be reached finalizing the construction of the "Sagrada Familia" in Barcelona, the victory of the Swiss sail boat "Alinghi", which won America's Cup, films such as " A Beautiful Mind" and "Enigma", the theatrical play based on the life of Galois, the images of the Dutch graphic artist M. C. Escher, crypotography, comics. What all these topics have in common? Mathematics, of course. This book focuses on the important role of mathematics in culture. It shows how very compl...
The 2009 World Forecasts of Zinc Ores and Concentrates Export Supplies
by Philip M. Parker
Studies in Graph Theory
Graphs, Colourings and the Four-Colour Theorem (Oxford Science Publications)
by Robert A. Wilson
The four-colour theorem is one of the famous problems of mathematics, that frustrated generations of mathematicians from its birth in 1852 to its solution (using substantial assistance from electronic computers) in 1976. The theorem asks whether four colours are sufficient to colour all conceivable maps, in such a way that countries with a common border are coloured with different colours. The book discusses various attempts to solve this problem, and some of the mathematics which developed ou...
Examples and Counterexamples in Graph Theory
by Michael Capobianco and John C Molluzzo
Graph Algorithms and Applications I
by Roberto Tamassia and Ioannis G Tollis
Mathematics Finely Explained - Graphing (Mathematics Finely Explained, #2)
by Robert Robert Shutler
Computational Methods for Three-Dimensional Microscopy Reconstruction (Applied and Numerical Harmonic Analysis)
Approaches to the recovery of three-dimensional information on a biological object, which are often formulated or implemented initially in an intuitive way, are concisely described here based on physical models of the object and the image-formation process. Both three-dimensional electron microscopy and X-ray tomography can be captured in the same mathematical framework, leading to closely-related computational approaches, but the methodologies differ in detail and hence pose different challenge...
Topics on Tournaments in Graph Theory (Dover Books on Mathematics)
by John W Moon