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101111s1970 ne ob 001 0 eng d |
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|a OCLCE
|b eng
|e pn
|c OCLCE
|d OCLCQ
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|a 645893028
|a 898769095
|a 1100860951
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|a 9780720421088
|q (electronic bk.)
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|a 072042108X
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|a 9781483259277
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|a 1483259277
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|a (OCoLC)681113046
|z (OCoLC)645893028
|z (OCoLC)898769095
|z (OCoLC)1100860951
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|a dlr
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|a QA241.5
|b .L45
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|a MAT
|x 002040
|2 bisacsh
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|a 512/.89
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|a Lekkerkerker, C. G.
|q (Cornelis Gerrit),
|d 1922-
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|a Geometry of numbers
|c [By] C.G. Lekkerkerker.
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260 |
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|a Groningen,
|b Wolters-Noordhoff;
|a Amsterdam,
|b North-Holland Pub. Co.,
|c 1969 [1970]
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|a 1 online resource (520 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Bibliotheca mathematica, a series of monographs on pure and applied mathematics,
|v v. 8
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504 |
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|a Includes bibliographical references (pages 471-503).
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|3 Use copy
|f Restrictions unspecified
|2 star
|5 MiAaHDL
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|a Electronic reproduction.
|b [Place of publication not identified] :
|c HathiTrust Digital Library,
|d 2010.
|5 MiAaHDL
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|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
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583 |
1 |
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|a digitized
|c 2010
|h HathiTrust Digital Library
|l committed to preserve
|2 pda
|5 MiAaHDL
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|a Print version record.
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|a Front Cover; Geometry of Numbers; Copyright Page; PREFACE; Table of Contents; CHAPTER 1. PRELIMINARIES; 1. Notations. Convex bodies; 2. Ray sets and star bodies; 3. Lattices; 4. Algebraic number fields; CHAPTER 2. CONVEX BODIES AND LATTICE POINTS; 5. The fundamental theorem of Minkowski; 6. Generalizations of the theorem of Blichfeldt; 7. Generalizations of the theorem of Minkowski; 8. A theorem of R�edei and Hlawka; 9. Successive minima of a convex body; 10. Reduction theory; 11. Successive minima of non-convex sets; 12. Extremal bodies; 13. The inhomogeneous minimum
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|a 14. Polar reciprocal convex bodies15. Compound convex bodies; 16. Convex bodies and arbitrary lattices; CHAPTER 3. THE CRITICAL DETERMINANT, THE COVERING CONSTANTAND THE INHOMOGENEOUS DETERMINANT OF A SET; 17. Mahler's selection theorem. Critical determinant and absolute homogeneousminimum. Critical lattices; 18. The successive minima and the determinant of a set; 19. The theorem of Minkowski-Hlawka; 20. Packing of convex bodies; 21. Covering constant of a set. Covering by sets; 22. Packings and coverings in the plane; 23. Inhomogeneous determinant of a set
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|a 24. A theorem of Mordell-Siegel-Hlawka-RogersCHAPTER 4. STAR BODIES; 25. Thefunctionate; 26. Points of critical lattices on the boundary. Automorphic star bodies; 27. Reducible and irreducible star bodies; 28. Reduction of automorphic star bodies; CHAPTER 5. SOME METHODS; 29. The critical determinant of a two-dimensional star body. Methodsof Mahler and Mordell; 30. Some special two-dimensional domains; 31. The critical determinant of ann-dimensional domain; 32. Some special domains; 33. A method of Blichfeldt. Density functions; 34. A method of Blichfeldt and Mordell
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|a 35. A theorem of Macbeath36. Comparison of star bodies in spaces of unequal dimensions; CHAPTER 6. HOMOGENEOUS FORMS; 37. Homogeneous forms, absolute minima, extreme forms; 38� Spheres and quadratic forms; 39. Extreme positive definite quadratic forms; 40. Sums of powers of linear forms; 41. Products of linear forms; 42. Other homogeneous forms; 43. Extreme forms. Isolated minima; 44. Asymmetric and one-sided inequalities; 45. Diophantine approximation; CHAPTER 7. INHOMOGENEOUS FORMS; 46. Inhomogeneous minima of forms; 47. Indefinite binary quadratic forms
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|a 48. Delone's algorithm. Lower boundsfor49. Inhomogeneous forms in more variables; 50. Asymmetric inequalities; 51. Inequalities with infinitely many solutions; BIBLIOGRAPHY; INDEX
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|a Geometry of numbers.
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650 |
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|a Convex bodies.
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|a Lattice theory.
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650 |
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|a G�eom�etrie des nombres.
|0 (CaQQLa)201-0005587
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650 |
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|a Corps convexes.
|0 (CaQQLa)201-0053239
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650 |
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|a Th�eorie des treillis.
|0 (CaQQLa)201-0048300
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650 |
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7 |
|a MATHEMATICS
|x Algebra
|x Intermediate.
|2 bisacsh
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650 |
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7 |
|a Convex bodies
|2 fast
|0 (OCoLC)fst00877258
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650 |
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7 |
|a Geometry of numbers
|2 fast
|0 (OCoLC)fst00940899
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650 |
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|a Lattice theory
|2 fast
|0 (OCoLC)fst00993426
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|i Print version:
|a Lekkerkerker, C.G. (Cornelis Gerrit), 1922-
|t Geometry of numbers.
|d Groningen, Wolters-Noordhoff; Amsterdam, North-Holland Pub. Co., 1969 [1970]
|w (DLC) 70097931
|w (OCoLC)68804
|
830 |
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|a Bibliotheca mathematica ;
|v v. 8.
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856 |
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|u https://sciencedirect.uam.elogim.com/science/book/9780720421088
|z Texto completo
|