A First Course in Mathematics Concepts for Elementary School Teachers
Problem-solving is the cornerstone of school mathematics. The techniques discussed in this book should help you to become a better problem solver and should show you how to help others develop their problem-solving skills.
Algebraic Number Theory, Second Edition (Discrete Mathematics and Its Applications)
Bringing the material up to date to reflect modern applications, Algebraic Number Theory, Second Edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first chapter; field extensions in the second chapter; and class groups in the third chapter. Applications are now collected in chapter four and at the end of chapter five, where primality testing is highlighted as an application of the Kronecker–Weber theorem. In chapter five, the sections on ideal decomposition in number fields have been more evenly distributed.
Designed by teachers and supporting all UK examination board syllabuses, GCSE Maths is just the job whether you want a reference tool to help you brush up on particular areas where you're weak or whether you're engaged in a last-gasp rush towards exam success. Perhaps stereo-typically, there aren't many laughs--and indeed, the few multimedia elements (mostly voice-overs with some nice animated graphics illustrating topics such as 3-D geometry) are disappointing.
Hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature," this text is appropriate for advanced undergraduates and graduate students. Written by two internationally renowned mathematicians, it offers an accessible treatment that requires no previous knowledge of algebraic topology.
Contents: The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; Perpendicularity And Simple Angles; Angles Of Two Planes And Angles Of Higher Order; Symmetry, Order, And Motion; Euclidian Geometry; Figures With Parallel Elements; Measurement Of Volume And Hypervolume In Hyperspace; The Regular Polyhedroids; The Polyhedroid Formula