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Professor Gerard G. Emch has been one of the pioneers of the C-algebraic approach to quantum and classical statistical mechanics. In a prolific scientific career, spanning nearly five decades, Professor Emch has been one of the creative influences in the general area of mathematical physics. The present volume is a collection of tributes, from former students, colleagues and friends of Professor Emch, on the occasion of his 70th birthday. The articles featured here are a small yet representative sample of the breadth and reach of some of the ideas from mathematical physics.It is also a testimony to the impact that Professor Emch's work has had on several generations of mathematical physicists as well as to the diversity of mathematical methods used to understand them.
Mathematical physics --- Mathematics. --- Mathematics, general. --- Math --- Science
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Functional analysis --- Calculus. --- Vector analysis. --- Basic Sciences. Mathematics --- Mathematics (General) --- Mathematics (General). --- Analyse mathématique --- Mathematical analysis --- Vector analysis --- Analyse mathématique
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Mathematics --- Mathematical analysis --- Engineering mathematics --- Science --- Engineering mathematics. --- Mathematical analysis. --- Mathematics. --- Basic Sciences. Mathematics --- Mathematics (General) --- Mathematics (General). --- Monograph --- Science - Mathematics
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1. Numbers, algebra end geometry 2. Functions 3. Complex numbers 4. Vector algebra 5. Matrix algebra 6. An introduction to discrete mathematics 7. Sequences, series and limits 8. Differentiation and integration 9. Further calculus 10. Introduction to ordinary differential equations 11. Introduction to Laplace transforms 12. Data handling and probability theory Appendix
Analyse (wiskunde) --- Toegepaste wiskunde --- Analyse (wiskunde). --- Toegepaste wiskunde. --- Engineering mathematics --- Engineering mathematics. --- Basic Sciences. Mathematics --- Mathematics (General) --- Mathematics (General). --- Engineering sciences. Technology --- Mathematics --- Engineering --- Mathematics.
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Mathematics. --- Math --- Science --- Mathematical Sciences --- Applied Mathematics --- Mathematics --- Mathématiques --- 31.00 mathematics: general
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This is the second volume of the proceedings of the third European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners as well as papers by plenary and parallel speakers. The second volume collects articles by prize winners and speakers of the mini-symposia. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician.
Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Mathematics. --- Math --- Science --- Conferences - Meetings --- Mathematics, general. --- Mathematics - Congresses
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The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries. This book provides a self-contained introduction to the subject, suitable for third or fourth year undergraduates. The basic approach taken is to define hyperbolic lines and develop a natural group of transformations preserving hyperbolic lines, and then study hyperbolic geometry as those quantities invariant under this group of transformations. Topics covered include the upper half-plane model of the hyperbolic plane, Möbius transformations, the general Möbius group, and their subgroups preserving the upper half-plane, hyperbolic arc-length and distance as quantities invariant under these subgroups, the Poincaré disc model, convex subsets of the hyperbolic plane, hyperbolic area, the Gauss-Bonnet formula and its applications. This updated second edition also features: an expanded discussion of planar models of the hyperbolic plane arising from complex analysis; the hyperboloid model of the hyperbolic plane; brief discussion of generalizations to higher dimensions; many new exercises. The style and level of the book, which assumes few mathematical prerequisites, make it an ideal introduction to this subject and provides the reader with a firm grasp of the concepts and techniques of this beautiful part of the mathematical landscape. .
Geometry, Hyperbolic. --- Geometry, Hyperbolic --- Geometry. --- Mathematics. --- Mathematics, general. --- Math --- Science --- Mathematics --- Euclid's Elements --- Géometrie hyperbolique
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This book contains the stories of five mathematical journeys into new realms, told through the writings of the explorers themselves. Some were guided by mere curiosity and the thrill of adventure, while others had more practical motives. In each case the outcome was a vast expansion of the known mathematical world and the realization that still greater vistas remained to be explored. The authors tell these stories by guiding the reader through the very words of the mathematicians at the heart of these events, and thereby provide insight into the art of approaching mathematical problems. The book can be used in a variety of ways. The five chapters are completely independent, each with varying levels of mathematical sophistication. The book will be enticing to students, to instructors, and to the intellectually curious reader. By working through some of the original sources and supplemental exercises, which discuss and solve - or attempt to solve - a great problem, this book helps the reader discover the roots of modern problems, ideas, and concepts, even whole subjects. Students will also see the obstacles that earlier thinkers had to clear in order to make their respective contributions to five central themes in the evolution of mathematics.
Mathematics --- History --- Sources. --- Mathématiques --- Histoire --- Sources --- Mathematics. --- Mathematics, general. --- Math --- Science --- Mathematics - History - Sources.
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Mathematics --- Mathématiques --- Periodicals --- Périodiques --- 31.00 mathematics: general --- #TS:WWIS --- Mathematical Sciences --- Applied Mathematics --- General and Others --- Mathematics. --- Math --- Science
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