LEADER 05629nam 2200697Ia 450 001 9910457964503321 005 20200520144314.0 010 $a1-281-07258-3 010 $a9786611072582 010 $a0-08-052632-2 035 $a(CKB)1000000000384654 035 $a(EBL)316963 035 $a(OCoLC)476109138 035 $a(SSID)ssj0000329713 035 $a(PQKBManifestationID)11258972 035 $a(PQKBTitleCode)TC0000329713 035 $a(PQKBWorkID)10310498 035 $a(PQKB)10301114 035 $a(MiAaPQ)EBC316963 035 $a(Au-PeEL)EBL316963 035 $a(CaPaEBR)ebr10206347 035 $a(CaONFJC)MIL107258 035 $a(EXLCZ)991000000000384654 100 $a20050907d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAdvances in steel structures$b[electronic resource] $eproceedings of the fourth International Conference on Advances in Steel Structures, 13-15 June 2005, Shanghai, China$hVolume 1 /$fedited by Z.Y. Shen and G.Q. Li, S.L. Chan 210 $aAmsterdam ;$aBoston $cElsevier$dc2005 215 $a1 online resource (963 p.) 300 $aDescription based upon print version of record. 311 $a0-08-044637-X 320 $aIncludes bibliographical references and index. 327 $aFront Cover; ADVANCES IN STEEL STRUCTURES; Copyright Page; CONTENTS; Preface; International Advisory Committee; Local Advisory Committee; Local Organizing Committee; Part 1: Fire Resistance; Chapter 1. Recent Improvements on Numerical Methods in Structural Fire Safety; Chapter 2. Investigation of Membrane Action in Model Scale Slabs Subject to High Temperatures; Chapter 3. Design Charts for Concrete Insulation of Structural Steel in Fire; Chapter 4. Alternative Approach for Lateral Torsional Buckling of Unrestrained Beams in Fire 327 $aChapter 5. Feasibility of Utilising Catenary Action to Eliminate Fire Protection to Steel BeamsChapter 6. Direct Analysis of Steel and Composite Structures Considering the Effects of Fire; Chapter 7. Strength of Steel/Concrete Composite Beam in Fire; Chapter 8. A Numerical Study of Rotational Capacity of Steel Beams in Fire; Chapter 9. Modelling of The Collapse of Large Multi-Storey Steel Frame Structures in Fire; Chapter 10. Equivalence Analysis of Thermal and Mechanical Effects on Steel Members under Fire Conditions; Chapter 11. Behavior of Steel-Composite Beams Subjected to Fire 327 $aChapter 12. Experimental Behaviour of Steel Beam to Concrete-Filled Steel Tubular (CFST) Column Connections After Exposure to FireChapter 13. Calculations on The Fire Resistance of Steel Reinforced Concrete (SRC) Columns; Chapter 14. 3-D Finite Element Simulation of The Response of Steel Frames Subjected to Fire; Chapter 15. Use of Sub-Structuring in Modelling of Composite Building Response to Compartment Fires; Chapter 16. Finite Element Analysis on Temperature Field of Long-Span Steel Structure under Fire Conditions; Chapter 17. High-Temperature Experiments on Joint Component Behaviour 327 $aChapter 18. Fire Resistance of Concrete-Filled Double Skin Steel Tubular ColumnsChapter 19. Finite Element Analysis of Concrete Filled Steel Columns in Fire; Chapter 20. The Design of Fire-Resistant Protection Systems for Structural Steel Members; Chapter 21. An Experimental Study of Fire Behaviour of a Panel Made of Cold-Formed Thin-Walled Perforated Steel Channels in Compression; Chapter 22. Experimental Research on The Mechanical Properties of Steel After High Temperature; Chapter 23. The Effect of Connections on Fire Resistance of Axially Restrained Beams 327 $aChapter 24. Fire Analysis Accounting for Cooling EffectsPart 2: Fatigue and Fracture; Chapter 25. Two Studies on the Actual Behaviour and Limit States of Steel Structures; Chapter 26. The Ultimate Behaviour of Cracked Square Hollow Section T-Joints; Chapter 27. Current Developments of Support Structures for Wind Turbines in Offshore Environment; Chapter 28. Considerations of NDT Quality in Fracture-Critical Inspections for Steel Bridges; Chapter 29. Assessment of Fatigue Reliability of Steel Crane Structures in Service Based on Damage Cumulative Model 327 $aChapter 30. Stress Concentration Factor (SCF) Test Results of Large-Scale Tubular K-Joints 330 $a This two volume proceedings contains 11 invited keynote papers, 33 invited papers, and 225 contributed papers presented at the Fourth International Conference on Advances in Steel Structures (ICASS '05) held on 13-15 June 2005 in Shanghai, China.ICASS provides a forum for discussion and dissemination by researchers and designers of recent advances in the analysis, behaviour, design and construction of steel structures. Contributions to the papers came from 22 countries around the world and cover a wide spectrum of topics including: Constructional Steel, Hybrid Structures, Non 606 $aBuilding, Iron and steel$vCongresses 606 $aStructural design$vCongresses 606 $aSteel, Structural$vCongresses 608 $aElectronic books. 615 0$aBuilding, Iron and steel 615 0$aStructural design 615 0$aSteel, Structural 676 $a624.1821 701 $aShen$b Z. Y$0945923 701 $aLi$b G. Q$0945924 701 $aChan$b S. L$0931582 712 12$aInternational Conference on Advances in Steel Structures 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457964503321 996 $aAdvances in steel structures$92136845 997 $aUNINA LEADER 05811nam 2200685 a 450 001 996197528903316 005 20200520144314.0 010 $a1-280-67898-4 010 $a9786613655912 010 $a1-118-33684-4 010 $a1-118-33681-X 010 $a1-118-33667-4 035 $a(CKB)2550000000103214 035 $a(EBL)875921 035 $a(SSID)ssj0000849552 035 $a(PQKBManifestationID)12382329 035 $a(PQKBTitleCode)TC0000849552 035 $a(PQKBWorkID)10812920 035 $a(PQKB)10956777 035 $a(DLC) 2012005885 035 $a(Au-PeEL)EBL875921 035 $a(CaPaEBR)ebr10565144 035 $a(Au-PeEL)EBL4034343 035 $a(CaPaEBR)ebr11109738 035 $a(CaONFJC)MIL365591 035 $a(PPN)170611450 035 $a(FR-PaCSA)88813034 035 $a(MiAaPQ)EBC875921 035 $a(OCoLC)795913964 035 $a(EXLCZ)992550000000103214 100 $a20120208d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA classical introduction to Galois theory /$fStephen C. Newman 205 $a1st ed. 210 $aHoboken, N.J. $cWiley$dc2012 215 $a1 online resource (298 p.) 300 $aDescription based upon print version of record. 311 $a1-118-09139-6 320 $aIncludes bibliographical references and index. 327 $aA CLASSICAL INTRODUCTION TO GALOIS THEORY; CONTENTS; PREFACE; 1 CLASSICAL FORMULAS; 1.1 Quadratic Polynomials; 1.2 Cubic Polynomials; 1.3 Quartic Polynomials; 2 POLYNOMIALS AND FIELD THEORY; 2.1 Divisibility; 2.2 Algebraic Extensions; 2.3 Degree of Extensions; 2.4 Derivatives; 2.5 Primitive Element Theorem; 2.6 Isomorphism Extension Theorem and Splitting Fields; 3 FUNDAMENTAL THEOREM ON SYMMETRIC POLYNOMIALS AND DISCRIMINANTS; 3.1 Fundamental Theorem on Symmetric Polynomials; 3.2 Fundamental Theorem on Symmetric Rational Functions; 3.3 Some Identities Based on Elementary Symmetric Polynomials 327 $a3.4 Discriminants3.5 Discriminants and Subfields of the Real Numbers; 4 IRREDUCIBILITY AND FACTORIZATION; 4.1 Irreducibility Over the Rational Numbers; 4.2 Irreducibility and Splitting Fields; 4.3 Factorization and Adjunction; 5 ROOTS OF UNITY AND CYCLOTOMIC POLYNOMIALS; 5.1 Roots of Unity; 5.2 Cyclotomic Polynomials; 6 RADICAL EXTENSIONS AND SOLVABILITY BY RADICALS; 6.1 Basic Results on Radical Extensions; 6.2 Gauss's Theorem on Cyclotomic Polynomials; 6.3 Abel's Theorem on Radical Extensions; 6.4 Polynomials of Prime Degree; 7 GENERAL POLYNOMIALS AND THE BEGINNINGS OF GALOIS THEORY 327 $a7.1 General Polynomials7.2 The Beginnings of Galois Theory; 8 CLASSICAL GALOIS THEORY ACCORDING TO GALOIS; 9 MODERN GALOIS THEORY; 9.1 Galois Theory and Finite Extensions; 9.2 Galois Theory and Splitting Fields; 10 CYCLIC EXTENSIONS AND CYCLOTOMIC FIELDS; 10.1 Cyclic Extensions; 10.2 Cyclotomic Fields; 11 GALOIS'S CRITERION FOR SOLVABILITY OF POLYNOMIALS BY RADICALS; 12 POLYNOMIALS OF PRIME DEGREE; 13 PERIODS OF ROOTS OF UNITY; 14 DENESTING RADICALS; 15 CLASSICAL FORMULAS REVISITED; 15.1 General Quadratic Polynomial; 15.2 General Cubic Polynomial; 15.3 General Quartic Polynomial 327 $aAPPENDIX A COSETS AND GROUP ACTIONSAPPENDIX B CYCLIC GROUPS; APPENDIX C SOLVABLE GROUPS; APPENDIX D PERMUTATION GROUPS; APPENDIX E FINITE FIELDS AND NUMBER THEORY; APPENDIX F FURTHER READING; REFERENCES; INDEX 330 $a"This book provides an introduction to Galois theory and focuses on one central theme - the solvability of polynomials by radicals. Both classical and modern approaches to the subject are described in turn in order to have the former (which is relatively concrete and computational) provide motivation for the latter (which can be quite abstract). The theme of the book is historically the reason that Galois theory was created, and it continues to provide a platform for exploring both classical and modern concepts. This book examines a number of problems arising in the area of classical mathematics, and a fundamental question to be considered is: For a given polynomial equation (over a given field), does a solution in terms of radicals exist? That the need to investigate the very existence of a solution is perhaps surprising and invites an overview of the history of mathematics. The classical material within the book includes theorems on polynomials, fields, and groups due to such luminaries as Gauss, Kronecker, Lagrange, Ruffini and, of course, Galois. These results figured prominently in earlier expositions of Galois theory, but seem to have gone out of fashion. This is unfortunate since, aside from being of intrinsic mathematical interest, such material provides powerful motivation for the more modern treatment of Galois theory presented later in the book. Over the course of the book, three versions of the Impossibility Theorem are presented: the first relies entirely on polynomials and fields, the second incorporates a limited amount of group theory, and the third takes full advantage of modern Galois theory. This progression through methods that involve more and more group theory characterizes the first part of the book. The latter part of the book is devoted to topics that illustrate the power of Galois theory as a computational tool, but once again in the context of solvability of polynomial equations by radicals"--$cProvided by publisher. 606 $aGalois theory 615 0$aGalois theory. 676 $a512/.32 686 $aMAT003000$2bisacsh 700 $aNewman$b Stephen C.$f1952-$0167034 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996197528903316 996 $aClassical Introduction to Galois Theory$92425548 997 $aUNISA