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Sums and Products
 
Titu Andreescu University of Texas at Dallas, TX
Marian Tetiva Rosca Codreanu National College, Barlad, Romania
A publication of XYZ Press
Sums and Products
Hardcover ISBN:  978-0-9993428-1-7
Product Code:  XYZ/31
List Price: $59.95
AMS Member Price: $47.96
Please note AMS points can not be used for this product
Sums and Products
Click above image for expanded view
Sums and Products
Titu Andreescu University of Texas at Dallas, TX
Marian Tetiva Rosca Codreanu National College, Barlad, Romania
A publication of XYZ Press
Hardcover ISBN:  978-0-9993428-1-7
Product Code:  XYZ/31
List Price: $59.95
AMS Member Price: $47.96
Please note AMS points can not be used for this product
  • Book Details
     
     
    XYZ Series
    Volume: 312018; 340 pp
    MSC: Primary 00; 97

    The main areas covered are: (1) telescoping sums and products in algebra and trigonometry; (2) the use of complex numbers and de Moivre's formula; (3) Abel's summation formula; (4) mathematical induction; (5) combinatorial identities; and (6) multiplicative functions and the use of Möbius function.

    The theory is presented together with rich examples. At the end, readers are invited to solve problems from a list of 125 questions divided into three levels.

    A publication of XYZ Press. Distributed in North America by the American Mathematical Society.

    Readership

    Students who participate in mathematics competitions at the AIME and USAMO levels, their teachers, and anyone with an interest in mathematics.

  • Additional Material
     
     
  • Reviews
     
     
    • This is a very nice problem book for budding mathematicians and mathematical contest aficionados...This is obviously an excellent training manual in learning to work with sums and products. Even casual readers like myself can learn much from it.

      Jeff Ibbotson, MAA Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 312018; 340 pp
MSC: Primary 00; 97

The main areas covered are: (1) telescoping sums and products in algebra and trigonometry; (2) the use of complex numbers and de Moivre's formula; (3) Abel's summation formula; (4) mathematical induction; (5) combinatorial identities; and (6) multiplicative functions and the use of Möbius function.

The theory is presented together with rich examples. At the end, readers are invited to solve problems from a list of 125 questions divided into three levels.

A publication of XYZ Press. Distributed in North America by the American Mathematical Society.

Readership

Students who participate in mathematics competitions at the AIME and USAMO levels, their teachers, and anyone with an interest in mathematics.

  • This is a very nice problem book for budding mathematicians and mathematical contest aficionados...This is obviously an excellent training manual in learning to work with sums and products. Even casual readers like myself can learn much from it.

    Jeff Ibbotson, MAA Reviews
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.