04999nam 22007815 450 991045797260332120210114162008.01-282-96489-597866129648931-4008-3777-410.1515/9781400837779(CKB)2560000000049182(EBL)664559(OCoLC)705944534(SSID)ssj0000469101(PQKBManifestationID)12194618(PQKBTitleCode)TC0000469101(PQKBWorkID)10510513(PQKB)10137301(SSID)ssj0000543676(PQKBManifestationID)11354860(PQKBTitleCode)TC0000543676(PQKBWorkID)10530723(PQKB)10260622(DE-B1597)446841(OCoLC)1013946211(OCoLC)1029818777(OCoLC)1032685261(OCoLC)1037925500(OCoLC)1041989782(OCoLC)1046608148(OCoLC)1047020686(OCoLC)1049620159(OCoLC)1054880021(OCoLC)979749693(DE-B1597)9781400837779(MiAaPQ)EBC664559(EXLCZ)99256000000004918220190708d2008 fg engur|||||||||||txtccrFearless Symmetry Exposing the Hidden Patterns of Numbers - New Edition /Robert Gross, Avner AshNew edition with a New preface by the authorsPrinceton, NJ : Princeton University Press, [2008]©20081 online resource (307 p.)Description based upon print version of record.0-691-13871-0 Frontmatter -- Contents -- Foreword -- Preface To The Paperback Edition -- Preface -- Acknowledgments -- Greek Alphabet -- Part One. Algebraic Preliminaries -- Chapter 1. Representations -- Chapter 2. Groups -- Chapter 3. Permutations -- Chapter 4. Modular Arithmetic -- Chapter 5. Complex Numbers -- Chapter 6. Equations and Varieties -- Chapter 7. Quadratic Reciprocity -- Part Two. Galois Theory and Representations -- Chapter 8. Galois Theory -- Chapter 9. Elliptic Curves -- Chapter 10. Matrices -- Chapter 11. Groups of Matrices -- Chapter 12. Group Representations -- Chapter 13. The Galois Group Of A Polynomial -- Chapter 14. The Restriction Morphism -- Chapter 15. The Greeks Had a Name for it -- Chapter 16. Frobenius -- Part Three. Reciprocity Laws -- Chapter 17. Reciprocity Laws -- Chapter 18. One- And Two-Dimensional Representations -- Chapter 19. Quadratic Reciprocity Revisited -- Chapter 20. A Machine for Making Galois Representations -- Chapter 21. A Last Look at Reciprocity -- Chapter 22. Fermat's Last Theorem and Generalized Fermat Equations -- Chapter 23. Retrospect -- Bibliography -- IndexMathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetries were first discovered nearly two hundred years ago by French mathematician évariste Galois. They have been used extensively in the oldest and largest branch of mathematics--number theory--for such diverse applications as acoustics, radar, and codes and ciphers. They have also been employed in the study of Fibonacci numbers and to attack well-known problems such as Fermat's Last Theorem, Pythagorean Triples, and the ever-elusive Riemann Hypothesis. Mathematicians are still devising techniques for teasing out these mysterious patterns, and their uses are limited only by the imagination. The first popular book to address representation theory and reciprocity laws, Fearless Symmetry focuses on how mathematicians solve equations and prove theorems. It discusses rules of math and why they are just as important as those in any games one might play. The book starts with basic properties of integers and permutations and reaches current research in number theory. Along the way, it takes delightful historical and philosophical digressions. Required reading for all math buffs, the book will appeal to anyone curious about popular mathematics and its myriad contributions to everyday life.Number theoryNumber theoryElectronic books.Number theory.Number theory512.7SK 180rvkAsh Avner, 1034316Gross Robert, DE-B1597DE-B1597BOOK9910457972603321Fearless Symmetry2453358UNINA01479nam 2200361 n 450 99639181280331620221108012843.0(CKB)4940000000108079(EEBO)2248527095(UnM)99862768(EXLCZ)99494000000010807919930218d1648 uy |engurbn||||a|bb|A brief vindication of three passages in the Practical catechisme[electronic resource] from the censures affixt on them by the ministers of London, in a book entitled, A testimony to the truth of Jesus Christ, &c. /By H. Hammond D.DLondon Printed for Richard Royston in Ivy-lane1648[2], 13, [1] pA reply to: A testimony to the truth of Jesus Christ, and to our Solemn League and Covenant.In this edition, "London" in imprint is in Roman.Annotation on Thomason copy: "Feb: 1st"; the 8 in imprint date crossed out and date altered to 1647.Reproduction of the original in the British Library.eebo-0018Theology, DoctrinalEarly works to 1800Theology, DoctrinalHammond Henry1605-1660.322258Cu-RivESCu-RivESCStRLINWaOLNBOOK996391812803316A brief vindication of three passages in the Practical catechisme2341149UNISA01684nam 2200553 450 991080992070332120230803031509.00-674-72804-10-674-72803-3(CKB)2670000000426398(EBL)3301328(SSID)ssj0001000578(PQKBManifestationID)11587654(PQKBTitleCode)TC0001000578(PQKBWorkID)10950739(PQKB)11202377(MiAaPQ)EBC3301328(Au-PeEL)EBL3301328(CaPaEBR)ebr10763707(OCoLC)923120588(EXLCZ)99267000000042639820130620d2013 uy| 0engur|n|---|||||txtccrReligion without god /Ronald DworkinCambridge, Massachusetts :Harvard University Press,2013.1 online resource (193 p.)"Based on the Einstein Lectures that Ronald Dworkin delivered at the University of Bern in December 2011."0-674-72682-0 Includes bibliographical references and index.Religious atheism? -- The universe -- Religious freedom -- Death and immortality.ReligionPhilosophyAtheismFreedom of religionReligionPhilosophy.Atheism.Freedom of religion.200Dworkin Ronald143517MiAaPQMiAaPQMiAaPQBOOK9910809920703321Religion without God13249UNINA