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    Artikelzustand
    Gut: Buch, das gelesen wurde, sich aber in einem guten Zustand befindet. Der Einband weist nur sehr ...
    Release Year
    1994
    Book Title
    Elements of Algebra: Geometry, Numbers, Equations (Undergradua...
    ISBN
    9780387942902
    Kategorie

    Über dieses Produkt

    Product Identifiers

    Publisher
    Springer New York
    ISBN-10
    0387942904
    ISBN-13
    9780387942902
    eBay Product ID (ePID)
    540186

    Product Key Features

    Number of Pages
    Xii, 184 Pages
    Publication Name
    Elements of Algebra : Geometry, Numbers, Equations
    Language
    English
    Publication Year
    1994
    Subject
    Geometry / General, Number Theory, Algebra / General
    Type
    Textbook
    Author
    John C. Stillwell
    Subject Area
    Mathematics
    Series
    Undergraduate Texts in Mathematics Ser.
    Format
    Hardcover

    Dimensions

    Item Height
    0.2 in
    Item Weight
    36 Oz
    Item Length
    9.2 in
    Item Width
    6.1 in

    Additional Product Features

    Edition Number
    3
    Intended Audience
    Scholarly & Professional
    LCCN
    94-010085
    Dewey Edition
    20
    Reviews
    "...The book is written in a very clear and pleasing style. Each of the 9 chapters of the book concludes with a section called "Discussions", which contains very interesting and valuable historical information and comments on the topics presented in the respective chapter. We strongly recommend this nice volume not only to beginners but also to experts."--MATHEMATICAL REVIEWS
    Number of Volumes
    1 vol.
    Illustrated
    Yes
    Dewey Decimal
    512/.02
    Table Of Content
    1. Algebra and Geometry.- 2. The Rational Numbers.- 3. Numbers in General.- 4. Polynomials.- 5. Fields.- 6. Isomorphisms.- 7. Groups.- 8. Galois Theory of Unsolvability.- 9. Galois Theory of Solvability.- References.
    Synopsis
    This book is a concise, self-contained introduction to abstract algebra that stresses its unifying role in geometry and number theory. There is a strong emphasis on historical motivation - both to trace abstract concepts to their concrete roots, but also to show the power of new ideas to solve old problems. This approach shows algebra as an integral part of mathematics and makes this text more informative to both beginners and experts than others., Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge- bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart., Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge­ bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.
    LC Classification Number
    QA150-272

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