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Learning modern algebra [[electronic resource] ] : from early attempts to prove Fermat's last theorem / / Al Cuoco and Joseph J. Rotman
| Learning modern algebra [[electronic resource] ] : from early attempts to prove Fermat's last theorem / / Al Cuoco and Joseph J. Rotman |
| Autore | Cuoco Albert |
| Pubbl/distr/stampa | [Washington, D.C.], : Mathematical Association of America, 2013 |
| Descrizione fisica | 1 online resource (480 p.) |
| Disciplina | 512 |
| Altri autori (Persone) | RotmanJoseph J. <1934-> |
| Collana | MAA textbooks |
| Soggetto topico | Algebra |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61444-612-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910463197903321 |
Cuoco Albert
|
||
| [Washington, D.C.], : Mathematical Association of America, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Learning modern algebra [[electronic resource] ] : from early attempts to prove Fermat's last theorem / / Al Cuoco and Joseph J. Rotman
| Learning modern algebra [[electronic resource] ] : from early attempts to prove Fermat's last theorem / / Al Cuoco and Joseph J. Rotman |
| Autore | Cuoco Albert |
| Pubbl/distr/stampa | [Washington, D.C.], : Mathematical Association of America, 2013 |
| Descrizione fisica | 1 online resource (480 p.) |
| Disciplina | 512 |
| Altri autori (Persone) | RotmanJoseph J. <1934-> |
| Collana |
AMS/MAA Textbooks
MAA textbooks |
| Soggetto topico | Algebra |
| ISBN | 1-61444-612-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910786873103321 |
|
Cuoco Albert
|
||
| [Washington, D.C.], : Mathematical Association of America, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Learning modern algebra : from early attempts to prove Fermat's last theorem / / Al Cuoco and Joseph J. Rotman
| Learning modern algebra : from early attempts to prove Fermat's last theorem / / Al Cuoco and Joseph J. Rotman |
| Autore | Cuoco Albert |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | [Washington, D.C.], : Mathematical Association of America, 2013 |
| Descrizione fisica | 1 online resource (480 p.) |
| Disciplina | 512 |
| Altri autori (Persone) | RotmanJoseph J. <1934-> |
| Collana |
AMS/MAA Textbooks
MAA textbooks |
| Soggetto topico | Algebra |
| ISBN | 1-61444-612-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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 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"" |
| Record Nr. | UNINA-9910963204903321 |
|
Cuoco Albert
|
||
| [Washington, D.C.], : Mathematical Association of America, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||