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Record Nr. |
UNISA996394984703316 |
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Autore |
Hoole Charles <1610-1667.> |
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Titolo |
Grammatica Latina in usum scholarum adornata [[electronic resource] ] : Grammatices Lilianæ verbis (quantum fieri licuit) retentis; multis ejus erroribus emendatis; minus-necessariis amputatis; pluribus, quæ deficerent, suppletis; & omnibus methodo faciliori ad tenellæ ætatis captum conformata dispositis. Opera & studio Caroli Hoole, A.M. è C.L. Oxon. Scholaræ olim Rotherhamiensis in agro Ebor. Adjecta est insuper (nè quid huic instituto desit) in juventutis gratiam, in adversâ paginâ, Anglicana interpretatio |
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Pubbl/distr/stampa |
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Londini, : excudebat Francis Smith, ad Castellum & Elephantum extra Temple-Bar, 1669 |
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Edizione |
[Editio quinta prioribus emendatior.] |
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Descrizione fisica |
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Altri autori (Persone) |
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LilyWilliam <1468?-1522.> |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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An edition of: Hoole, Charles. The Latine grammar. |
Title page on A3r; with added title page (printed in A2v) in English, reading: The Latine grammar fitted for the use of schools. |
With an imprimatur leaf on A1 signed: Joh. Hall: R.P.D. Episc. Lon. a sac. domest. Feb. 26. 1663. |
Text in English and Latin on facing pages. |
With table of contents at end of text. |
Copy lacks pp. 148-149 and 208-209 on microfilm. |
Reproduction of the original in the British Library. |
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2. |
Record Nr. |
UNISALENTO991003506889707536 |
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Autore |
Wright, Steve |
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Titolo |
Quadratic residues and non-residues [e-book] : selected topics / by Steve Wright |
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Pubbl/distr/stampa |
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ISBN |
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9783319459554 |
9783319459547 |
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Descrizione fisica |
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1 online resource (xiii, 292 p. 20 ill.) |
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Collana |
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Lecture Notes in Mathematics, 0075-8434 ; 2171 |
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Classificazione |
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Disciplina |
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Soggetti |
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Commutative algebra |
Commutative rings |
Algebra |
Field theory (Physics) |
Fourier analysis |
Convex geometry |
Discrete geometry |
Number theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime ; Chapter 2. Basic Facts ; Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity ; Chapter 4. Four Interesting Applications of Quadratic Reciprocity ; Chapter 5. The Zeta Function of an Algebraic Number Field and Some Applications ; Chapter 6. Elementary Proofs ; Chapter 7. Dirichlet L-functions and the Distribution of Quadratic Residues ; Chapter 8. Dirichlet's Class-Number Formula ; Chapter 9. Quadratic Residues and Non-residues in Arithmetic Progression ; Chapter 10. Are quadratic residues randomly distributed? ; Bibliography |
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Sommario/riassunto |
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This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental |
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methods employed in modern elementary, algebraic, and analytic number theory. The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss various proofs of the Law of Quadratic Reciprosity in depth, with an emphasis on the six proofs that Gauss published. The remaining seven chapters explore some interesting applications of the Law of Quadratic Reciprocity, prove some results concerning the distribution and arithmetic structure of quadratic residues and non-residues, provide a detailed proof of Dirichlet’s Class-Number Formula, and discuss the question of whether quadratic residues are randomly distributed. The text is a valuable resource for graduate and advanced undergraduate students as well as for mathematicians interested in number theory |
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