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Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree: With a New Introduction and Commentary
 
A publication of Higher Education Press (Beijing)
Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree
Hardcover ISBN:  978-7-04-051022-5
Product Code:  CTM/5
List Price: $99.00
AMS Member Price: $79.20
Please note AMS points can not be used for this product
Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree
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Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree: With a New Introduction and Commentary
A publication of Higher Education Press (Beijing)
Hardcover ISBN:  978-7-04-051022-5
Product Code:  CTM/5
List Price: $99.00
AMS Member Price: $79.20
Please note AMS points can not be used for this product
  • Book Details
     
     
    Classical Topics in Mathematics
    Volume: 52019; 306 pp
    MSC: Primary 12; 30; 13; 51; 33

    The highest achievement of Greek mathematics is the classification of regular solids, the five so-called Platonic solids. The most complicated solid is the icosahedron. Up to and through the 19th century, the most important problem in mathematics was solving algebraic equations. In this classic book, Klein showed how to relate these two seemingly unrelated topics and also tied them together with another new theory of mathematics: hypergeometric functions and monodromy groups. This clearly shows Klein's vision of the unity of mathematics.

    This book includes Peter Slodowy's commentaries and his expository paper on Klein's book to help readers understand the ADE classification and their many unexpected connections and applications under current study.

    A publication of Higher Education Press (Beijing). Exclusive rights in North America; non-exclusive outside of North America. No distribution to mainland China unless order is received through the AMS bookstore. Online bookstore rights worldwide. All standard discounts apply.

    Readership

    Graduate students and research mathematicians interested in hypergeometric functions and monodromy groups.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 52019; 306 pp
MSC: Primary 12; 30; 13; 51; 33

The highest achievement of Greek mathematics is the classification of regular solids, the five so-called Platonic solids. The most complicated solid is the icosahedron. Up to and through the 19th century, the most important problem in mathematics was solving algebraic equations. In this classic book, Klein showed how to relate these two seemingly unrelated topics and also tied them together with another new theory of mathematics: hypergeometric functions and monodromy groups. This clearly shows Klein's vision of the unity of mathematics.

This book includes Peter Slodowy's commentaries and his expository paper on Klein's book to help readers understand the ADE classification and their many unexpected connections and applications under current study.

A publication of Higher Education Press (Beijing). Exclusive rights in North America; non-exclusive outside of North America. No distribution to mainland China unless order is received through the AMS bookstore. Online bookstore rights worldwide. All standard discounts apply.

Readership

Graduate students and research mathematicians interested in hypergeometric functions and monodromy groups.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.