|Other titles||Geometry of numbers.|
|LC Classifications||QA241 .H25 1964|
|The Physical Object|
|Pagination||2 v. (xix, 839 p.)|
|Number of Pages||839|
|LC Control Number||64020882|
Development of the Minkowski geometry of numbers. New York, Macmillan Co., (OCoLC) Named Person: H Minkowski; H Minkowski: Document Type: Book: All Authors / Contributors: Harris Hancock; University of Cincinnati. Charles Phelps Taft Memorial Fund. This book presents the first comprehensive treatment of Minkowski geometry since the 's, with chapters on fundamental metric and topological properties, the theory of area and volume in normed spaces (a fascinating geometrical interplay among the various roles of the ball in Euclidean space), trigonometry and differential geometry. The book will appeal to students and . 1 Review. This is a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice points on lines, circles and inside simple polygons in the 5/5(1). Minkowski geometry is a non-Euclidean geometry in a finite number of dimensions that is different from elliptic and hyperbolic geometry (and from the Minkowskian geometry of spacetime). Here the linear structure is the same as the Euclidean one but distance is not "uniform" in all directions. Instead of the usual sphere in Euclidean space, the unit ball is a general symmetric convex set.
The original text is the famous “Raum und Zeit”, but it is rarely mentioned that Minkowski is the author of a geometry of numbers “Geometrie der Zahlen”, a . Part of the Classics in Mathematics book series (volume 99) Log in to check access. Buy eBook. USD Reihentext + Geometry of Numbers From the reviews: "The work is carefully written. Diophantine approximation Prime automorphs distance functions geometry of numbers lattices minkowski's theorem number theory packings reduction. results on hyperbolic geometry started to occur frequently. In , H. Minkowski reformulated the famous A. Einstein’s paper from and introduced space-time. Pavel Chalmovianský (KAGDM FMFI UK) Geometry of Minkowski Space Bratislava, 3 / The Prospect of a GoN Proof for Ternary Hasse-Minkowski Chonoles’s Geometry of Numbers in F q((1 t)) Mahler’s non-Archimedean Geometry of Numbers Normed Rings Gerstein-Quebbemann Abstract Blichfeldt and Minkowski References 1. Lattices in Euclidean Space.
The Geometry of Numbers presents a self-contained introduction to the geometry of numbers, beginning with easily understood questions about lattice-points on lines, circles, and inside simple polygons in the plane. Little mathematical expertise is required beyond an acquaintance with those objects and with some basic results in geometry. The Geometry of Minkowski Spacetime An Introduction to the Mathematics of the Special Theory of Relativity. here a rigorous and detailed mathematical development is accompanied by precise physical interpretations.” (CHOICE, ) Book Title The Geometry of Minkowski Spacetime Book . Before these brilliant expositions, Minkowski's pioneering writings were accessible only to specialists. This classic two-volume work focuses primarily on geometric problems involving integers and algebraic problems approachable through geometrical insights. Chapter 5 - Minkowski's Fundamental Theorem from Part II - An Introduction to the Geometry of Numbers C. D. Olds, San Jose University, Anneli Lax, New York University, Giuliana P. Davidoff, Mount Holyoke College.