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Author : Sherman Stein
Publisher : Cambridge University Press
Page : 236 pages
File Size : 34,86 MB
Release : 1994
Category : Mathematics
ISBN : 9780883850282
A concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
Author : Sherman K. Stein
Publisher :
Page : 207 pages
File Size : 13,10 MB
Release : 1994
Category :
ISBN : 9780883850008
Author : Sherman K. Stein
Publisher : Mathematical Association of America (MAA)
Page : 222 pages
File Size : 35,13 MB
Release : 2014-05-10
Category : MATHEMATICS
ISBN : 9781614440246
A concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
Author : Sherman K. Stein
Publisher : American Mathematical Soc.
Page : 207 pages
File Size : 36,63 MB
Release : 1993-12-31
Category :
ISBN : 1470451115
Algebra and Tiling is accessible to undergraduate mathematics majors, as most of the tools necessary to read the book are found in standard upper division algebra courses, but teachers, researchers, and professional mathematicians will find the book equally appealing. Beginners will find the exercises and the appendices especially useful. The unsolved problems will challenge both beginners and experts. The book could serve as the basis of an undergraduate or graduate seminar or a source of applications to enrich an algebra or geometry course.
Author : Moshe Lewenstein
Publisher : Springer
Page : 425 pages
File Size : 41,56 MB
Release : 2006-07-01
Category : Computers
ISBN : 3540354611
This book constitutes the refereed proceedings of the 17th Annual Symposium on Combinatorial Pattern Matching, CPM 2006, held in Barcelona, Spain, July 2006. The book presents 33 revised full papers together with 3 invited talks, organized in topical sections on data structures, indexing data structures, probabilistic and algebraic techniques, applications in molecular biology, string matching, data compression, and dynamic programming.
Author : J.M. Aarts
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 49,8 MB
Release : 2009-04-28
Category : Mathematics
ISBN : 0387782419
This is a book on Euclidean geometry that covers the standard material in a completely new way, while also introducing a number of new topics that would be suitable as a junior-senior level undergraduate textbook. The author does not begin in the traditional manner with abstract geometric axioms. Instead, he assumes the real numbers, and begins his treatment by introducing such modern concepts as a metric space, vector space notation, and groups, and thus lays a rigorous basis for geometry while at the same time giving the student tools that will be useful in other courses.
Author : Henk W. Broer
Publisher : American Mathematical Soc.
Page : 163 pages
File Size : 37,11 MB
Release : 2016-12-31
Category : Science
ISBN : 0883851423
Near the Horizon starts out by considering several optical phenomena that can occur when the sun is near the horizon. One can sometimes see objects that are actually below the horizon. Sometimes there seems to be a dark strip in the middle of the solar disk. These are a result of the way that the atmosphere affects the geometry of light rays. Broer starts his book with the Fermat principle (rays of light take least-time paths) and deduces from it laws for refraction and reflection; by expressing these as conservation laws, he can handle both the case of inhomogeneous layers of air and the case of continuous variation in the refraction index. A surprising application is the brachistochrone problem, in which the path of fastest descent is determined by studying how a light ray would behave in a “flat earth” atmosphere whose refraction index is determined by the gravitational potential. This leads to a very interesting chapter on the cycloid and its properties. The final chapters move from the elementary theory to a more sophisticated version in which the Fermat Principle leads to a Riemannian metric whose geodesics are the paths of light rays. This gives us an optics which is geometric in a new sense, and serves as a nice demonstration of the physical applicability of Riemannian geometry.
Author : Robert S. Wolf
Publisher : Cambridge University Press
Page : 424 pages
File Size : 13,46 MB
Release : 2005-03-10
Category : Mathematics
ISBN : 9780883850367
The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gdel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.
Author : Sandor Szabo
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 33,19 MB
Release : 2004-10-25
Category : Mathematics
ISBN : 9783764371586
The main objective of this book is to give a systematic exposition of the main results and techniques of the factorization theory of abelian groups. The necessary background materials are presented along with some of the most important applications in geometry, combinatorics, coding theory, and number theory. A large part of the text is accessible to students, requiring only basic knowledge in group theory and algebra. Helpful exercises are provided in every chapter.
Author : Sandor Szabo
Publisher : CRC Press
Page : 282 pages
File Size : 22,49 MB
Release : 2009-01-21
Category : Mathematics
ISBN : 142009047X
Decomposing an abelian group into a direct sum of its subsets leads to results that can be applied to a variety of areas, such as number theory, geometry of tilings, coding theory, cryptography, graph theory, and Fourier analysis. Focusing mainly on cyclic groups, Factoring Groups into Subsets explores the factorization theory of abelian groups. Th