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Viser: Abstract Algebra - An Introductory Course
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Abstract Algebra Vital Source e-bog
Gregory T. Lee
(2018)
Springer Nature
135,00 kr.
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Abstract Algebra
An Introductory Course
Gregory T. Lee
(2018)
Sprog: Engelsk
Springer International Publishing AG
399,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (April 2018)
- ISBN: 9783319776491
This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions. Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback
- Udgiver: Springer International Publishing AG (April 2018)
- ISBN: 9783319776484
This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields.
The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.
Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.Part I Preliminaries.- 1 Relations and Functions.- 2 The Integers and Modular Arithmetic.-
Part II Groups.- 3 Introduction to Groups.- 4 Factor Groups and Homomorphisms.- 5 Direct Products and the Classification of Finite Abelian Groups.- 6 Symmetric and Alternating Groups.- 7 The Sylow Theorems.-
Part III Rings.- 8 Introduction to Rings.- 9 Ideals, Factor Rings and Homomorphisms.- 10 Special Types of Domains.-
Part IV Fields and Polynomials.- 11 Irreducible Polynomials.- 12 Vector Spaces and Field Extensions.-
Part V Applications.- 13 Public Key Cryptography.- 14 Straightedge and Compass Constructions.- A The Complex Numbers.- B Matrix Algebra.- Solutions.- Index.
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