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Florence Nightingale  
  
77   12:55 مساءاً   date: 12-11-2016
Author : M Keele
Book or Source : Florence Nightingale in Rome
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Born: 12 May 1820 in Florence, Italy

Died: 13 August 1910 in East Wellow, England


Florence Nightingale is best remembered for her work as a nurse during the Crimean War and her contribution towards the reform of the sanitary conditions in military field hospitals. However, what is less well known about this amazing woman is her love of mathematics, especially statistics, and how this love played an important part in her life's work.

Named after the city of her birth, Nightingale was born at the Villa Colombia in Florence, Italy, on 12 May 1820. Her parents, William Edward Nightingale and his wife Frances Smith, were touring Europe for the first two years of their marriage. Nightingale's elder sister had been born in Naples the year before. The Nightingales gave their first born the Greek name for the city, which was Parthenope.

William Nightingale had been born with the surname Shore but he had changed it to Nightingale after inheriting from a rich relative, Peter Nightingale of Lea, near Matlock, Derbyshire. The girls grew up in the country spending much of their time at Lea Hurst in Derbyshire. When Nightingale was about five years old her father bought a house called Embley near Romsey in Hampshire. This now meant that the family spent the summer months in Derbyshire, while the rest of the year was spent at Embley. Between these moves there were trips to London, the Isle of Wight, and to relatives.

The early education of Parthenope and Florence was placed in the hands of governesses, later their Cambridge educated father took over the responsibility himself. Nightingale loved her lessons and had a natural ability for studying. Under her father's influence Nightingale became acquainted with the classics, Euclid, Aristotle, the Bible, and political matters.

In 1840, Nightingale begged her parents to let her study mathematics instead of:-

... worsted work and practising quadrilles,

but her mother did not approve of this idea. Although William Nightingale loved mathematics and had bequeathed this love to his daughter, he urged her to study subjects more appropriate for a woman. After many long emotional battles, Nightingale's parents finally gave their permission and allowed her to be tutored in mathematics. Her tutors included Sylvester, who developed the theory of invariants with Cayley. Nightingale was said to be Sylvester's most distinguished pupil. Lessons included learning arithmetic, geometry and algebra and prior to Nightingale entered nursing, she spent time tutoring children in these subjects.

Nightingale's interest in mathematics extended beyond the subject matter. One of the people who also influenced Nightingale was the Belgian scientist Quetelet. He had applied statistical methods to data from several fields, including moral statistics or social sciences.

Religion played an important part in Nightingale's life. Her unbiased view on religion, unusual at the time, was owed to the liberal outlook Nightingale found in her home. Although her parents were from a Unitarian background, Frances Nightingale found a more conventional denomination preferable and the girls were brought up as members of the Church of England. On 7 February 1837 Nightingale believed she heard her calling from God, whilst walking in the garden at Embley, although at this time though she did not know what this calling was.

Nightingale developed an interest in the social issues of the time, but in 1845 her family was firmly against the suggestion of Nightingale gaining any hospital experience. Until then the only nursing that she had done was looking after sick friends and relatives. During the mid-nineteenth century nursing was not considered a suitable profession for a well-educated woman. Nurses of the time were lacking in training and they also had the reputation of being coarse, ignorant women, given to promiscuity and drunkenness.

While Nightingale was on a tour of Europe and Egypt starting in 1849, with family friends Charles and Selina Bracebridge, she had the chance to study the different hospital systems. In early 1850 Nightingale began her training as a nurse at the Institute of St Vincent de Paul in Alexandria, Egypt, which was a hospital run by the Roman Catholic Church. Nightingale visited Pastor Theodor Fliedner's hospital at Kaiserswerth, near Düsseldorf, in July 1850. Nightingale returned to Kaiserswerth, in 1851, to undertake 3 months of nursing training at the Institute for Protestant Deaconesses and from Germany she moved to a hospital in St Germain, near Paris, run by the Sisters of Mercy. On returning to London in 1853 Nightingale took up the unpaid position as the Superintendent at the Establishment for Gentlewomen during Illness at No 1 Harley Street.

March of 1854 brought the start of the Crimean War, with Britain, France and Turkey declaring war on Russia. Although the Russians were defeated at the battle of the Alma River, on 20 September 1854, The Times newspaper criticised the British medical facilities. In response to this Nightingale was asked in a letter from her friend Sidney Herbert, the British Secretary for War, to become a nursing administrator to oversee the introduction of nurses to military hospitals. Her official title was Superintendent of the Female Nursing Establishment of the English General Hospitals in Turkey. Nightingale arrived in Scutari, an Asian suburb of Constantinople, (now Istanbul), with 38 nurses on 4 November 1854 [2]:-

... her zeal, her devotion, and her perseverance would yield to no rebuff and to no difficulty. She went steadily and unwearyingly about her work with a judgement, a self-sacrifice, a courage, a tender sympathy, and withal a quiet and unostentatious demeanour that won the hearts of all who were not prevented by official prejudices from appreciating the nobility of her work and character.

Although being female meant Nightingale had to fight against the military authorities at every step, she went about reforming the hospital system. With conditions which resulted in soldiers lying on bare floors surrounded by vermin and unhygienic operations taking place it is not surprising that, when Nightingale first arrived in Scutari, diseases such as cholera and typhus were rife in the hospitals. This meant that injured soldiers were 7 times more likely to die from disease in hospital, than on the battlefield. Whilst in Turkey, Nightingale collected data and organised a record keeping system, this information was then used as a tool to improve city and military hospitals. Nightingale's knowledge of mathematics became evident when she used her collected data to calculate the mortality rate in the hospital. These calculations showed that an improvement of the sanitary methods employed would result in a decrease in the number of deaths. By February 1855 the mortality rate had dropped from 60% to 42.7%. Through the establishment of a fresh water supply as well as using her own funds to buy fruit, vegetables and standard hospital equipment, the mortality rate in the spring had dropped further to 2.2%.


Nightingale used this statistical data to create her Polar Area Diagram, or "coxcombs" as she called them. These were used to give a graphical representation of the mortality figures during the Crimean War (1854 - 56).

The area of each coloured wedge, measured from the centre as a common point, is in proportion to the statistic it represents. The blue outer wedges represent the deaths from:-

... preventable or mitigable zymotic diseases

or in other words contagious diseases such as cholera and typhus. The central red wedges show the deaths from wounds. The black wedges in between represent deaths from all other causes. Deaths in the British field hospitals reached a peak during January 1855, when 2,761 soldiers died of contagious diseases, 83 from wounds and 324 from other causes making a total of 3,168. The army's average manpower for that month was 32,393. Using this information, Nightingale computed a mortality rate of 1,174 per 10,000 with 1,023 per 10,000 being from zymotic diseases. If this rate had continued, and troops had not been replaced frequently, then disease alone would have killed the entire British army in the Crimea.

These unsanitary conditions, however, were not only limited to military hospitals in the field. On her return to London in August 1856, four months after the signing of the peace treaty, Nightingale discovered that soldiers during peacetime, aged between 20 and 35 had twice the mortality rate of civilians. Using her statistics, she illustrated the need for sanitary reform in all military hospitals. While pressing her case, Nightingale gained the attention of Queen Victoria and Prince Albert as well as that of the Prime Minister, Lord Palmerston. Her wishes for a formal investigation were granted in May 1857 and led to the establishment of the Royal Commission on the Health of the Army. Nightingale hid herself from public attention, and became concerned for the army stationed in India. In 1858, for her contributions to army and hospital statistics Nightingale became the first woman to be elected to be a Fellow of the Royal Statistical Society.

In 1860, the Nightingale Training School and Home for Nurses based at St Thomas' Hospital in London, opened with 10 students. It was financed by the Nightingale Fund, a fund of public contributions set up during Nightingale's time in the Crimea and had raised a total of £50,000. It was based around two principles. Firstly that the nurses should have practical training in hospitals specially organised for that purpose. The other was that the nurses should live in a home fit to form a moral life and discipline. Due to the foundation of this school Nightingale had achieved the transformation of nursing from its disreputable past into a responsible and respectable career for women. Nightingale responded to the British war office's request for advice on army medical care in Canada and was also a consultant to the United States government on army health during the American Civil War.

For most of the remainder of her life Nightingale was bedridden due to an illness contracted in the Crimea, which prevented her from continuing her own work as a nurse. This illness did not stop her, however, campaigning to improve health standards; she published 200 books, reports and pamphlets. One of these publications was a book entitled Notes on Nursing (1860). This was the first textbook specifically for use in the teaching of nurses and was translated into many languages. Nightingale's other published works included Notes on Hospitals (1859) and Notes on Nursing for the Labouring Classes (1861). Florence Nightingale deeply believed that her work had been her calling from God. In 1874 she became an honorary member of the American Statistical Association and in 1883 Queen Victoria awarded Nightingale the Royal Red Cross for her work. She also became the first woman to receive the Order of Merit from Edward VII in 1907.

Nightingale died on 13 August 1910 aged 90. She is buried at St Margaret's Church, East Wellow, near Embley Park. Nightingale never married, although this was not from lack of opportunity. She believed, however, that God had decided she was one whom he:-

... had clearly marked out ... to be a single woman.

The Crimean Monument, erected in 1915 in Waterloo Place, London, was done so in honour of the contribution Florence Nightingale had made to this war and the health of the army.


 

  1. Biography in Encyclopaedia Britannica. 
    http://www.britannica.com/EBchecked/topic/415020/Florence-Nightingale

Books:

  1. B Johansson (ed.), God Bless You My Dear Miss Nightingale (Stockholm, 1977).
  2. M Keele, Florence Nightingale in Rome (New York, 1981).

Articles:

  1. I B Cohen, Florence Nightingale, Scientific American 250 (March 1984), 128-137.
  2. S Stinnett, Women in Statistics : Sesquicennial Activities, The American Statistician 44 (2) (1990), 74 -80.

 




الجبر أحد الفروع الرئيسية في الرياضيات، حيث إن التمكن من الرياضيات يعتمد على الفهم السليم للجبر. ويستخدم المهندسون والعلماء الجبر يومياً، وتعول المشاريع التجارية والصناعية على الجبر لحل الكثير من المعضلات التي تتعرض لها. ونظراً لأهمية الجبر في الحياة العصرية فإنه يدرّس في المدارس والجامعات في جميع أنحاء العالم. ويُعجب الكثير من الدارسين للجبر بقدرته وفائدته الكبيرتين، إذ باستخدام الجبر يمكن للمرء أن يحل كثيرًا من المسائل التي يتعذر حلها باستخدام الحساب فقط.وجاء اسمه من كتاب عالم الرياضيات والفلك والرحالة محمد بن موسى الخورازمي.


يعتبر علم المثلثات Trigonometry علماً عربياً ، فرياضيو العرب فضلوا علم المثلثات عن علم الفلك كأنهما علمين متداخلين ، ونظموه تنظيماً فيه لكثير من الدقة ، وقد كان اليونان يستعملون وتر CORDE ضعف القوسي قياس الزوايا ، فاستعاض رياضيو العرب عن الوتر بالجيب SINUS فأنت هذه الاستعاضة إلى تسهيل كثير من الاعمال الرياضية.

تعتبر المعادلات التفاضلية خير وسيلة لوصف معظم المـسائل الهندسـية والرياضـية والعلمية على حد سواء، إذ يتضح ذلك جليا في وصف عمليات انتقال الحرارة، جريان الموائـع، الحركة الموجية، الدوائر الإلكترونية فضلاً عن استخدامها في مسائل الهياكل الإنشائية والوصف الرياضي للتفاعلات الكيميائية.
ففي في الرياضيات, يطلق اسم المعادلات التفاضلية على المعادلات التي تحوي مشتقات و تفاضلات لبعض الدوال الرياضية و تظهر فيها بشكل متغيرات المعادلة . و يكون الهدف من حل هذه المعادلات هو إيجاد هذه الدوال الرياضية التي تحقق مشتقات هذه المعادلات.