Heron s formula biography of mahatma

  • The basis of their talks was what came to be known as the Rajaji Formula, a formula as ingenious as its author after whom it was named.
  • I do not know what form civil disobedience is to take, but I am desperately in search of an effective formula.
  • Mathematics is to develop our logical ability to question, investigate, and explore solutions to many real-life problems.
  • A Brief History of Mathematics: A Promenade through the Civilizations of Our World [1 ed.] , , ,

    Table of contents :
    The book of time
    Preface
    Contents
    About the Author
    1 The mittpunkt East, or the Beginning
    The Origins of Mathematics
    The Beginnings of Counting
    Number Bases
    Arabic Numerals
    Shape and Geometry
    Civilization on the Nile River
    A Peculiar Terrain
    The Rhind Papyrus
    Egyptian Fractions
    Between the Rivers
    Babylonia
    The Clay Tablets
    Plimpton
    Conclusion
    2 The Sages of Ancient Greece
    The Birth of Mathematicians
    The Greek Arena
    The First Proofs
    Pythagoras
    The Platonic Academy
    Zeno&#;s Tortoise
    Plato&#;s Academy
    Aristotle
    The Alexandrian School
    Euclid&#;s Elements
    Archimedes
    Other Mathematicians
    Conclusion
    3 The Chinese mittpunkt Ages
    Prologue
    The Pre-Qin Era
    Zhoubi Suanjing
    Nine Chapters on the Mathematical Art
    From Circle Divisions to the Method of Four Unknowns
    Liu Hui&#;s π Algorithm
    The Sun Zi-Qin Jiushao Theorem
    Other Mathematicians
    C

  • heron s formula biography of mahatma
  • Introduction

    Abstract

    The word ‘mathematics’ was coined by Pythagoras, who flourished around bc. It meant ‘a subject of instruction,’ and its first part, ‘math,’ comes from an old Indo-European root that is related to the English word ‘mind.’ The Pythagoreans grouped arithmetic, astronomy, geometry, and music together and for several centuries mathematics referred to only these four subjects. However, as we proceed it will become clear that the study of arithmetic, astronomy, and geometry began long before Pythagoras. In fact, a fair majority of the biggest breakthroughs in mathematics were made possible through the work of people other than those who have been credited in the history books.

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    Authors and Affiliations

    1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, USA

      Ravi P. Agarwal

    2. GVP-Prof. V. Lakshmikantham Institute for Adv

      Hero of Alexandria  was a Greco-Egyptian mathematician and engineer who was active in his native city of Alexandria, Roman Egypt. He is often considered the greatest experimenter of antiquity and his work is representative of the Hellenistic scientific tradition.

      Hero published a well-recognized description of a steam-powered device called an aeolipile sometimes called a "Hero engine". Among his most famous inventions was a windwheel, constituting the earliest instance of wind harnessing on land. He is said to have been a follower of the atomists. In his work Mechanics, he described the pantographs. Some of his ideas were derived from the works of Ctesibius.

      In mathematics he is mostly remembered for Heron's formula, a way to calculate the area of a triangle using only the lengths of its sides.

      Much of Hero's original writings and designs have been lost, but some of his works were preserved—mostly in manuscripts from the Eastern Roman Empire, and a smaller part in Latin