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Recent Advances in Geometric Inequalities

  • Book
  • © 1989

Overview

Authors:
  1. D. S. Mitrinović

    1. University of Belgrade, Yugoslavia

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  2. J. E. Pečarić

    1. University of Zagreb, Yugoslavia

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  3. V. Volenec

    1. University of Zagreb, Yugoslavia

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Part of the book series: Mathematics and its Applications (MAEE, volume 28)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. The Existence of a Triangle

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 1-25

  3. Duality between Geometric Inequalities and Inequalities for Positive Numbers

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 26-36

  4. Homogeneous Symmetric Polynomial Geometric Inequalities

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 37-48

  5. Duality between Different Triangle Inequalities and Triangle Inequalities with (R, r, s)

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 49-63

  6. Transformations for the Angles of a Triangle

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 64-73

  7. Some Trigonometric Inequalities

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 74-100

  8. Some Other Transformations

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 101-120

  9. Convex Functions and Geometric Inequalities

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 121-143

  10. Miscellaneous Inequalities with Elements of a Triangle

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 144-231

  11. Special Triangles

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 232-277

  12. Triangle and Point

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 278-339

  13. Inequalities with Several Triangles

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 340-384

  14. The Möbius-Neuberg and the Möbius-Pompeiu Theorems

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 385-400

  15. Inequalities for Quadrilaterals

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 401-411

  16. Inequalities for Polygons

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 412-432

  17. Inequalities for a Circle

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 433-442

  18. Particular Inequalities in Plane Geometry

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 443-462

  19. Inequalities for Simplexes in En (n ≥ 2)

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 463-544

  20. Inequalities for Tetrahedra

    • D. S. Mitrinović, J. E. Pečarić, V. Volenec
    Pages 545-575
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Keywords

Reviews

`For the immediate future, however, this book should be (possibly chained!) in every university and college library, and, yes, in the library of every school which is intent on improving its mathematics teaching.'
The Americal Mathematical Monthly, December 1991

`This book should make interesting reading for philosophers of mathematics, if they want to observe how mathematical ideas really develop.'
Advances in Mathematics, 86, 1991

Authors and Affiliations

  • University of Belgrade, Yugoslavia

    D. S. Mitrinović

  • University of Zagreb, Yugoslavia

    J. E. Pečarić, V. Volenec

Bibliographic Information

  • Book Title: Recent Advances in Geometric Inequalities

  • Authors: D. S. Mitrinović, J. E. Pečarić, V. Volenec

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-015-7842-4

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1989

  • Hardcover ISBN: 978-90-277-2565-3Published: 31 March 1989

  • Softcover ISBN: 978-90-481-8442-2Published: 17 September 2011

  • eBook ISBN: 978-94-015-7842-4Published: 17 April 2013

  • Series ISSN: 0169-507X

  • Edition Number: 1

  • Number of Pages: XX, 710

  • Topics: Geometry

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