LEADER 03325nam 2200637Ia 450 001 9910454401303321 005 20200520144314.0 010 $a1-281-95184-6 010 $a9786611951849 010 $a981-281-033-1 035 $a(CKB)1000000000538069 035 $a(EBL)1679403 035 $a(SSID)ssj0000242419 035 $a(PQKBManifestationID)11215422 035 $a(PQKBTitleCode)TC0000242419 035 $a(PQKBWorkID)10310782 035 $a(PQKB)11467164 035 $a(MiAaPQ)EBC1679403 035 $a(WSP)00004598 035 $a(Au-PeEL)EBL1679403 035 $a(CaPaEBR)ebr10255746 035 $a(OCoLC)815754738 035 $a(EXLCZ)991000000000538069 100 $a20010703d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aScissors congruences, group homology and characteristic classes$b[electronic resource] /$fJohan L. Dupont 210 $aSingapore ;$aRiver Edge, NJ $cWorld Scientific$dc2001 215 $a1 online resource (178 p.) 225 1 $aNankai tracts in mathematics ;$v1 300 $aDescription based upon print version of record. 311 $a981-02-4507-6 320 $aIncludes bibliographical references (p. 159-165) and index. 327 $aPreface; Contents; Chapter 1. Introduction and History; Chapter 2. Scissors congruence group and homology; Chapter 3. Homology of flag complexes; Chapter 4. Translational scissors congruences; Chapter 5. Euclidean scissors congruences; Chapter 6. Sydler's theorem and non-commutative differential forms; Chapter 7. Spherical scissors congruences; Chapter 8. Hyperbolic scissors congruence; Chapter 9. Homology of Lie groups made discrete; Chapter 10. Invariants; Chapter 11. Simplices in spherical and hyperbolic 3-space; Chapter 12. Rigidity of Cheeger-Chern-Simons invariants 327 $aChapter 13. Projective configurations and homology of the projective linear groupChapter 14. Homology of indecomposable configurations; Chapter 15. The case of PGl(3,F); Appendix A. Spectral sequences and bicomplexes; Bibliography; Index 330 $aThese lecture notes are based on a series of lectures given at the Nankai Institute of Mathematics in the fall of 1998. They provide an overview of the work of the author and the late Chih-Han Sah on various aspects of Hilbert's Third Problem: Are two Euclidean polyhedra with the same volume "scissors-congruent", i.e. can they be subdivided into finitely many pairwise congruent pieces? The book starts from the classical solution of this problem by M Dehn. But generalization to higher dimensions and other geometries quickly leads to a great variety of mathematical topics, such as homology of gr 410 0$aNankai tracts in mathematics ;$vv. 1. 606 $aTetrahedra 606 $aVolume (Cubic content) 606 $aCharacteristic classes 608 $aElectronic books. 615 0$aTetrahedra. 615 0$aVolume (Cubic content) 615 0$aCharacteristic classes. 676 $a516.23 700 $aDupont$b Johan L$055031 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910454401303321 996 $aScissors congruences, group homology and characteristic classes$92255458 997 $aUNINA LEADER 03761nam 22004933 450 001 9910148567203321 005 20230808200232.0 010 $a9781786780041 010 $a1786780046 035 $a(CKB)3710000000921923 035 $a(MiAaPQ)EBC6052127 035 $a(Au-PeEL)EBL6052127 035 $a(OCoLC)962854330 035 $a(Exl-AI)6052127 035 $a(EXLCZ)993710000000921923 100 $a20210901d2016 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Secret American Destiny $eThe Hidden Order of the Universe and the Seven Disciplines of World Culture 205 $a1st ed. 210 1$a :$cWatkins Media,$d2016. 210 4$dİ2016. 215 $a1 online resource (227 pages) 311 08$a9781780289106 311 08$a1780289103 327 $aTitle -- Author?s Note Acknowledgements -- Contents -- Prologue: The Universalist Vision -- Part One: Conflict in World Culture -- Chapter 1: Conflicting Approaches in Seven Disciplines -- Chapter 2: Order and Accident in the Scientific Universe -- Part Two: Towards a Reunification: The Hidden Order of the Universe and its Opponents, the Tussle between the Metaphysical and Social Approaches -- Chapter 3: The Metaphysical Tradition, and Order -- Chapter 4: The Social and Reductionist Denial of the Metaphysical, and Accident -- Part Three: The Universalist Synthesis: The Reunification of World Culture -- Chapter 5: Universalism?s Reconciliation -- Chapter 6: Prospects for World Unity -- Diagram: The Structure of the World State -- Part Four: Order and America?s Destiny -- Chapter 7: Restoring the Metaphysical Vision of Order in World Culture -- Chapter 8: America?s World View and World Unity -- Timeline: Origin of the Universe and Life on Earth, and the Evolution of Homo sapiens sapiens -- Appendices: -- Appendix 1: Chart of 25 Civilizations and Cultures: From One to One, The Fundamental Unity of World Culture -- Appendix 2: The Rainbow-like Parabola: 61 Stages in a Civilization?s Life Cycle -- Appendix 3: Numbers in Powers of Ten -- Appendix 4: Image Showing How the Universe Began and the Shuttlecock-like Shape of our Expanding Universe -- Appendix 5: Universalism?s View of the Structure of the Universe -- Appendix 6: My Universalism and World State (Two Extracts from Presentation to World Philosophical Forum in Athens) -- Notes and Sources -- Bibliography -- Copyright$7Generated by AI. 330 $aNicholas Hagger's 'The Secret American Destiny' explores the concept of a unified world culture and the establishment of a World State. Drawing upon his previous works and philosophical insights, Hagger examines the historical and cultural evolution of global governance, emphasizing the role of America in leading this transformation. He reflects on the dialectical synthesis of global culture, combining rational and intuitive thinking. The book aims to inspire global unity through America's spiritual and political leadership, envisioning a democratic world government as a solution to prevent future conflicts. The intended audience includes readers interested in philosophy, history, and global politics.$7Generated by AI. 517 $aSecret American Destiny 606 $aWorld politics$7Generated by AI 606 $aInternational relations$7Generated by AI 615 0$aWorld politics 615 0$aInternational relations 676 $a327.1701 700 $aHagger$b Nicholas$0475841 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910148567203321 996 $aThe Secret American Destiny$93415994 997 $aUNINA