LEADER 03464nam 2200589 450 001 9910208821003321 005 20220505212544.0 010 $a1-118-40072-0 010 $a1-118-40075-5 010 $a1-118-40074-7 035 $a(CKB)4330000000000542 035 $a(DLC) 2013009183 035 $a(Au-PeEL)EBL1771572 035 $a(CaPaEBR)ebr10915810 035 $a(OCoLC)829937241 035 $a(CaSebORM)9781118390184 035 $a(MiAaPQ)EBC1771572 035 $a(PPN)185771939 035 $a(EXLCZ)994330000000000542 100 $a20140901h20132013 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aPrimes of the form = x² + ny² $eFermat, class field theory, and complex multiplication /$fDavid A. Cox 205 $aSecond edition. 210 1$aHoboken, New Jersey :$cWiley,$d2013. 210 4$d©2013 215 $a1 online resource (419 pages) $cillustrations, tables 225 1 $aPure and Applied Mathematics 300 $a"Originally published: Primes of the form x² + ny², 1989"--Title page verso. 311 $a1-118-39018-0 311 $a1-322-07828-9 320 $aIncludes bibliographical references and index. 327 $aFrom Fermat to Gauss -- Class field theory -- Complex multiplication -- Additional topics. 330 $aAn exciting approach to the history and mathematics of number theory ". . . the author's style is totally lucid and very easy to read . . .the result is indeed a wonderful story." ? Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x 2 + ny 2 details the history behind how Pierre de Fermat's work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication. Primes of the Form p = x 2 + ny 2 , Second Edition focuses on addressing the question of when a prime p is of the form x 2 + ny 2 , which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including: A well-motivated introduction to the classical formulation of class field theory Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations An elementary treatment of quadratic forms and genus theory Simultaneous treatment of elementary and advanced aspects of number theory New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography Primes of the Form p = x 2 + ny 2 , Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory. 410 0$aPure and applied mathematics. 517 3 $aPrimes of the form = x2 + ny2 606 $aNumbers, Prime 606 $aMathematics 615 0$aNumbers, Prime. 615 0$aMathematics. 676 $a512.7/23 700 $aCox$b David A.$058032 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910208821003321 996 $aPrimes of the form = x² + ny²$92837552 997 $aUNINA LEADER 05550nam 2200793 a 450 001 9910960580003321 005 20200520144314.0 010 $a9781118619575 010 $a1118619579 010 $a9781118619346 010 $a111861934X 010 $a9781118619452 010 $a1118619455 035 $a(CKB)2550000001111803 035 $a(EBL)1434095 035 $a(OCoLC)859161265 035 $a(MiAaPQ)EBC1434095 035 $a(DLC) 2013026196 035 $a(Au-PeEL)EBL1434095 035 $a(CaPaEBR)ebr10748678 035 $a(CaONFJC)MIL511695 035 $a(MiAaPQ)EBC7103882 035 $a(Au-PeEL)EBL7103882 035 $a(PPN)201702894 035 $a(OCoLC)1347025551 035 $a(FR-PaCSA)88839124 035 $a(FRCYB88839124)88839124 035 $a(Perlego)1000459 035 $a(Perlego)2772932 035 $a(EXLCZ)992550000001111803 100 $a20130624d2014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aPhilosophy of religion $ethe basics /$fRichard E. Creel 210 $aHoboken $cWiley$d2014 215 $a1 online resource (225 p.) 225 1 $aNew York Academy of Sciences 300 $aDescription based upon print version of record. 311 08$a9781118619438 311 08$a1118619439 311 08$a9781299804449 311 08$a1299804446 320 $aIncludes bibliographical references and index. 327 $aPhilosophy of Religion: The Basics; Copyright; Contents; Preface for Teachers; Acknowledgments; Introduction; For Review, Reflection, and Discussion; For Further Reading; Chapter 1 What Is Religion?; 1.1 Creed; 1.2 Code; 1.3 Cult; 1.4 Community; 1.5 Toward a Definition of Religion; 1.6 Ze, Zer, Mer; For Review, Reflection, and Discussion; For Further Reading; Chapter 2 Six Conceptions of God; 2.1 Experiential Sources of Concepts of God; 2.2 Six Conceptions of God; 2.3 Religious Naturalism; 2.4 Pantheism; 2.5 Panentheism (Process Theism); 2.6 Deism 327 $a2.7 Classical Biblical Theism is based on divine revelation2.8 Classical Philosophical Theism; For Review, Reflection, and Discussion; For Further Reading; Chapter 3 Divine Attributes and Dilemmas; 3.1 What Is a Dilemma?; 3.2 Ways to Respond to a Dilemma; 3.3 Divine Attribute Dilemmas; 3.4 Proposed Solutions to the Preceding Dilemmas; 3.4.1 Unsurpassability; 3.4.2 Omnipotence; 3.4.3 Are Omnipotence and Omnibenevolence Incompatible?; 3.4.4 Immutability and Personhood; 3.4.5 Divine Omniscience and Human Freedom; 3.5 Open Theism; For Review, Reflection, and Discussion; For Further Reading 327 $aChapter 4 Human Language and Talk about GodFor Review, Reflection, and Discussion; For Further Reading; Chapter 5 Arguments about the Existence of God; For Review, Reflection, and Discussion; For Further Reading; Chapter 6 The Ontological Argument; 6.1 Is Anselm's Argument Decisive?; 6.2 A Version of Duns Scotus' Ontological Argument; For Review, Reflection, and Discussion; For Further Reading; Chapter 7 The Cosmological Arguments; 7.1 The First Three of "The Five Ways" of Thomas Aquinas; 7.2 Paul Edwards' Infinite Regress Argument against the Cosmological Argument 327 $a7.2.1 Two Criticisms of Edwards7.3 The Oscillatory Theory; 7.3.1 Criticism of the Oscillatory Theory; 7.4 The Kalam Cosmological Argument; For Reflection, Review, and Discussion; For Further Reading; Chapter 8 The Teleological or Design Arguments; 8.1 The Anthropic Principle; 8.2 The Multiverse; For Review, Reflection, and Discussion; For Further Reading; Chapter 9 God and Morality; 9.1 Two Arguments from Morality for Belief in the Existence of God; 9.2 The Relation of Morality to God; 9.2.1 The Divine Command Theory; 9.2.2 Theocentric Ethics; 9.2.3 Natural Law Ethics 327 $aFor Review, Reflection, and DiscussionFor Further Reading; Chapter 10 Religious Experience and Belief in God; 10.1 The Principle of Credulity and the Rationality of Belief in God; 10.2 Religious Experience as Evidence for the Existence of God; 10.3 Toward a Cumulative Argument for God; For Review, Reflection, and Discussion; For Further Reading; Chapter 11 Arguments against Belief in the Existence of God; 11.1 Evidentialism and the Burden of Proof; 11.2 Conceptual Arguments: Analysis of the Concept of God; 11.2.1 The Argument from Meaninglessness 327 $a11.2.2 The Arguments from Incoherence and Self-Contradiction 330 $aPhilosophy of Religion: The Basics offers a concise introduction to philosophy of religion, distilling key discussions and concepts of the subject to their succinct essence, providing a truly accessible entry into the subject.A truly accessible introduction to philosophy of religion for beginnersTakes a topical approach, starting with the nature of religion and moving the reader through the major concepts, explaining how topics connect and point to one anotherOffers a thorough and full treatment of diverse conceptions of God, the ontological argumen 410 0$aNew York Academy of Sciences 606 $aChristianity 606 $aReligion$xPhilosophy 615 0$aChristianity. 615 0$aReligion$xPhilosophy. 676 $a210 686 $a161.1$2njb/09 686 $a210$2njb/09 700 $aCreel$b Richard E.$f1940-$01796709 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910960580003321 996 $aPhilosophy of religion$94338628 997 $aUNINA