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001 SCIDIR_ocn681113046
003 OCoLC
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008 101111s1970 ne ob 001 0 eng d
040 |a OCLCE  |b eng  |e pn  |c OCLCE  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCF  |d OPELS  |d EBLCP  |d IDEBK  |d N$T  |d E7B  |d DEBSZ  |d DEBBG  |d COO  |d OCLCQ  |d MERUC  |d OCLCQ  |d UKAHL  |d OCLCQ  |d VLY  |d OCLCQ  |d OCLCO  |d OCLCQ  |d OCLCO 
019 |a 645893028  |a 898769095  |a 1100860951 
020 |a 9780720421088  |q (electronic bk.) 
020 |a 072042108X  |q (electronic bk.) 
020 |a 9781483259277 
020 |a 1483259277 
035 |a (OCoLC)681113046  |z (OCoLC)645893028  |z (OCoLC)898769095  |z (OCoLC)1100860951 
042 |a dlr 
050 4 |a QA241.5  |b .L45 
072 7 |a MAT  |x 002040  |2 bisacsh 
082 0 4 |a 512/.89 
100 1 |a Lekkerkerker, C. G.  |q (Cornelis Gerrit),  |d 1922- 
245 1 0 |a Geometry of numbers  |c [By] C.G. Lekkerkerker. 
260 |a Groningen,  |b Wolters-Noordhoff;  |a Amsterdam,  |b North-Holland Pub. Co.,  |c 1969 [1970] 
300 |a 1 online resource (520 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Bibliotheca mathematica, a series of monographs on pure and applied mathematics,  |v v. 8 
504 |a Includes bibliographical references (pages 471-503). 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |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 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
588 0 |a Print version record. 
505 0 |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 
505 8 |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 
505 8 |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 
505 8 |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 
505 8 |a 48. Delone's algorithm. Lower boundsfor49. Inhomogeneous forms in more variables; 50. Asymmetric inequalities; 51. Inequalities with infinitely many solutions; BIBLIOGRAPHY; INDEX 
650 0 |a Geometry of numbers. 
650 0 |a Convex bodies. 
650 0 |a Lattice theory. 
650 6 |a G�eom�etrie des nombres.  |0 (CaQQLa)201-0005587 
650 6 |a Corps convexes.  |0 (CaQQLa)201-0053239 
650 6 |a Th�eorie des treillis.  |0 (CaQQLa)201-0048300 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Convex bodies  |2 fast  |0 (OCoLC)fst00877258 
650 7 |a Geometry of numbers  |2 fast  |0 (OCoLC)fst00940899 
650 7 |a Lattice theory  |2 fast  |0 (OCoLC)fst00993426 
776 0 8 |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 0 |a Bibliotheca mathematica ;  |v v. 8. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780720421088  |z Texto completo