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1. |
Record Nr. |
UNISA996385687403316 |
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Autore |
Cox Benjamin <fl. 1646.> |
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Titolo |
Some mistaken scriptvres sincerely explained [[electronic resource] ] : in answer to one infected with some Pelagian errours / / written by Benjamin Cox when he was first prisoner in Coventrie, now published by the author for the clearing of the truth |
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Pubbl/distr/stampa |
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London, : Printed by Tho. Paine ..., 1646 |
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Descrizione fisica |
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Soggetti |
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Theology, Doctrinal |
Pelagianism |
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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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"Licensed and entered according to order." |
Page 5 misprinted 7. |
Reproduction of original in the British Library. |
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Sommario/riassunto |
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2. |
Record Nr. |
UNINA9910963204903321 |
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Autore |
Cuoco Albert |
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Titolo |
Learning modern algebra : from early attempts to prove Fermat's last theorem / / Al Cuoco and Joseph J. Rotman |
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Pubbl/distr/stampa |
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[Washington, D.C.], : Mathematical Association of America, 2013 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (480 p.) |
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Collana |
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AMS/MAA Textbooks, , 2577-1213 ; ; v. 23 |
MAA textbooks |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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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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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""front cover ""; ""copyright page ""; ""title page ""; ""Contents""; ""Preface""; ""Some Features of This Book""; ""A Note to Students""; ""A Note to Instructors""; ""Notation""; ""Early Number Theory""; ""Ancient Mathematics""; ""Diophantus""; ""Geometry and Pythagorean Triples""; ""The Method of Diophantus""; ""Fermat's Last Theorem""; ""Connections: Congruent Numbers""; ""Euclid""; ""Greek Number Theory""; ""Division and Remainders""; ""Linear Combinations and Euclid's Lemma""; ""Euclidean Algorithm""; ""Nine Fundamental Properties""; ""Connections""; ""Trigonometry""; ""Integration"" |
""Induction""""Induction and Applications""; ""Unique Factorization""; ""Strong Induction""; ""Differential Equations""; ""Binomial Theorem""; ""Combinatorics""; ""Connections""; ""An Approach to Induction""; ""Fibonacci Sequence""; ""Renaissance""; ""Classical Formulas""; ""Complex Numbers""; ""Algebraic Operations""; ""Absolute Value and Direction""; ""The Geometry Behind Multiplication""; ""Roots and Powers""; ""Connections: Designing Good Problems""; ""Norms""; ""Pippins and Cheese""; ""Gaussian Integers: Pythagorean Triples Revisited""; ""Eisenstein Triples and Diophantus"" |
""Nice Boxes""""Nice Functions for Calculus Problems""; ""Lattice Point Triangles""; ""Modular Arithmetic""; ""Congruence""; ""Public Key Codes""; ""Commutative Rings""; ""Units and Fields""; ""Subrings and Subfields""; ""Connections: Julius and Gregory""; ""Connections: Patterns in Decimal Expansions""; ""Real Numbers""; ""Decimal Expansions of |
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Rationals""; ""Periods and Blocks""; ""Abstract Algebra""; ""Domains and Fraction Fields""; ""Polynomials""; ""Polynomial Functions""; ""Homomorphisms""; ""Extensions of Homomorphisms""; ""Kernel, Image, and Ideals""; ""Connections: Boolean Things"" |
""Inclusion-Exclusion""""Arithmetic of Polynomials""; ""Parallels to Z""; ""Divisibility""; ""Roots""; ""Greatest Common Divisors""; ""Unique Factorization""; ""Principal Ideal Domains""; ""Irreducibility""; ""Roots of Unity""; ""Connections: Lagrange Interpolation""; ""Quotients, Fields, and Classical Problems""; ""Quotient Rings""; ""Field Theory""; ""Characteristics""; ""Extension Fields""; ""Algebraic Extensions""; ""Splitting Fields""; ""Classification of Finite Fields""; ""Connections: Ruler--Compass Constructions""; ""Constructing Regular n-gons"" |
""Gauss's construction of the 17-gon""""Cyclotomic Integers""; ""Arithmetic in Gaussian and Eisenstein Integers""; ""Euclidean Domains""; ""Primes Upstairs and Primes Downstairs""; ""Laws of Decomposition""; ""Fermat's Last Theorem for Exponent 3 ""; ""Preliminaries""; ""The First Case""; ""Gauss's Proof of the Second Case""; ""Approaches to the General Case""; ""Cyclotomic integers""; ""Kummer, Ideal Numbers, and Dedekind""; ""Connections: Counting Sums of Squares""; ""A Proof of Fermat's Theorem on Divisors""; ""Epilog""; ""Abel and Galois""; ""Solvability by Radicals""; ""Symmetry"" |
""Groups"" |
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Sommario/riassunto |
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"Learning Modern Algebra is designed for college students who want to teach mathematics in high school, but it can serve as a text for standard abstract algebra courses as well. [...] The presentation is organized historically: the Babylonians introduced Pythagorean triples to teach the Pythagorean theorem; these were classified by Diophantus, and eventually this led Fermat to conjecture his Last Theorem."--Publisher description. |
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