Imagen de Amazon.com
Portada de Syndetics
Imagen de OpenLibrary
Elements of modern algebra Jimmie Gilbert, Linda Gilbert.
Detalles de publicación: Boston PWS Pub. Co. c1996.Edición: 4th edDescripción: xi, 372 p. ill. 25 cmISBN:- 0534951961 (hardcover : acid-free paper)
- 512/.02 20
- QA162 .G527 1996
| Imagen de cubierta | Tipo de ítem | Biblioteca actual | Biblioteca de origen | Colección | Ubicación en estantería | Signatura topográfica | Materiales especificados | Info Vol | URL | Copia número | Estado | Notas | Fecha de vencimiento | Código de barras | Reserva de ítems | Prioridad de la cola de reserva de ejemplar | Reservas para cursos | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Libro | Biblioteca Encarnación Valdés Colección General bev | 512.02 G4641e4 (Navegar estantería(Abre debajo)) | c.2 | Disponible | 80000002206806 | |||||||||||||
| Libro | Biblioteca Encarnación Valdés Colección General bev | 512.02 G4641e4 (Navegar estantería(Abre debajo)) | Disponible | 80000002206798 |
Total de reservas: 0
Descripciones mejoradas de Syndetics:
The authors gradually introduce and develop concepts to help make the material more accessible. This text is intended for the introductory course in algebraic structures and covers groups before rings. This course often is used to bridge the gap from manipulative to theoretical mathematics and to help prepare secondary mathematics teachers for their careers. This text includes several "optional" sections, including two new ones on applications, and is designed to give instructors latitude in structuring their courses.
Includes bibliographical references (p. 328-330) and index.
Tabla de contenidos provista por Syndetics
- 1 Fundamentals
- Sets
- Mappings
- Properties of Composite Mappings (Optional)
- Binary Operations
- Permutations and Inverses
- Matrices
- Relations
- Key Words and Phrases
- A Pioneer in Mathematics: Arthur Cayley
- 2 The Integers
- Postulates for the Integers (Optional)
- Mathematical Induction
- Divisibility
- Prime Factors and Greatest Common Divisor
- Congruence of Integers
- Congruence Classes
- Introduction to Coding Theory (Optional)
- Introduction to Cryptography (Optional)
- Key Words and Phrases
- A Pioneer in Mathematics: Blaise Pascal
- 3 Groups
- Definition of a Group
- Subgroups
- Cyclic Groups
- Isomorphisms
- Homomorphisms
- Key Words and Phrases
- A Pioneer in Mathematics: Niels Henrik Abel
- 4 More on Groups
- Finite Permutation Groups
- Cayley's Theorem
- Permutation Groups in Science and Art (Optional)
- Normal Subgroups
- Quotient Groups
- Direct Sums (Optional)
- Some Results on Finite Abelian Groups (Optional)
- Key Words and Phrases
- A Pioneer in Mathematics: Augustin Louis Cauchy
- 5 Rings, IntegraL Domains, and Fields
- Definition of a Ring
- Integral Domains and Fields
- The Field of Quotients of an Integral Domain
- Ordered Integral Domains
- Key Words and Phrases
- A Pioneer in Mathematics: Richard Dedekind
- 6 More on Rings
- Ideals and Quotient Rings
- Ring Homomorphisms
- The Characteristic of a Ring
- Maximal Ideals (Optional)
- Key Words and Phrases
- A Pioneer in Mathematics: Amalie Emmy Noether
- 7 Real and Complex Numbers
- The Field of Real Numbers
- Complex Numbers and Quaternions
- De Moivre's Theorem and Roots of Complex Numbers
- Key Words and Phrases
- A Pioneer in Mathematics: William Rowan Hamilton
- 8 Polynomials
- Polynomials over a Ring
- Divisibility and Greatest Common Divisor
- Factorization in F[x]
- Zeros of a Polynomial
- Solutions of Cubic and Quartic Equations by Formulas (Optional)
- Algebraic Extensions of a Field
- Key Words and Phrases
- A Pioneer in Mathematics: Carl Friedrich Gauss
- Appendix: The Basics Of Logic
- Bibliography
- Answers to Selected Computational Exercises
- Index