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Richard Price  
  
901   03:25 مساءاً   date: 31-3-2016
Author : A I Dale
Book or Source : Most honourable remembrance
Page and Part : ...


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Date: 21-3-2016 794
Date: 27-3-2016 890
Date: 29-6-2016 993

Born: 23 February 1723 in Tyn-ton, Llangeinor, Glamorgan, Wales
Died: 19 April 1791 in Newington Green (near London), England

 

Richard Price's father was Rice Price, a Congregational minister. At quite a young age Richard seems to have adopted somewhat different religious opinions from those of his father, being attracted towards more liberal Christian views. He was educated privately then, after the death of his father in 1739, he entered Fund Academy in Tenter Alley, London, one of the Dissenting academies that had been established independently by Nonconformists. We note that his religious views would have made it impossible for him to attend Oxford or Cambridge university, and the Dissenting academy provided an alternative to a university education for those wishing to study in England but who had views at odds with the standard beliefs of the Church of England.

Price left Fund Academy in 1744 and moved to Stoke Newington where he was family chaplain to George Streatfield. He ministered from time to time to various congregations, one of these posts having him assist Samuel Chandler at the Presbyterian Chapel at Old Jewry. In 1756 George Streatfield and an uncle of Price died, and as a result of money left to him Price's financial circumstances improved greatly. By 1757 he was in a strong enough financial position to marry Sarah Blundell, originally of Belgrave in Leicestershire, and in the following year they moved to Newington Green, a small village near Hackney. Price published Review of the Principal Questions in Morals in 1757 which contains his theory of ethics. He presented a rational case for moral decisions based on individual conscience and reason. He did not subscribe to the Christian doctrines of original sin and eternal punishment. Price wrote in the introduction:-

There are in truth none who are possessed of that cool and dispassionate temper, that freedom from all wrong biases, that habit of attention and patience of thought, and, also, that penetration and sagacity of mind, which are the proper securities against error. How much then do modesty and diffidence become us? How ought we to be to conviction, and candid to those of different sentiments?

Certainly up to this point nothing we have mentioned about Price would suggest that he should be in this archive, but the reason that we have included him is his contributions to statistics. This seems to have come about through his friendship with Bayes. William Morgan, in his biography of Price, his uncle, wrote [2]:-

On the death of his friend Mr Bayes of Tunbridge Wells in the year 1761 Price was requested by the relatives of that truly ingenious man, to examine the papers which he had written on different subjects ...

Several of Bayes's papers were therefore given to Price. A Notebook written by Bayes is still preserved in the muniment room of the Equitable Life Assurance Society and one has to assume that it was deposited there because Price was interested in the work of that Society, and involved with it. Price was responsible for the communication of Bayes's Essay towards solving a problem in the doctrine of chances to the Royal Society. Price wrote in the covering letter:-

I now send you an essay which I have found among the papers of our deceased friend Mr Bayes, and which, in my opinion, has great merit, and well deserves to be preserved.

Some of the calculations, particularly in the appendix, no one can make without a good deal of labour. I have taken so much care about them, that I believe there can be no material error in any of them; but should there be any such errors, I am the only person who ought to be considered as answerable for them.

At times it is hard to tell which contributions Price made to Bayes's work, but it is clear that Price was a modest man who did not seek credit for his contributions. He certainly shows himself to be a highly competent mathematician. In [4] Zabell notes that Price stated:-

If an event has happened n times, there will be an odds of 2n+1 - 1 to one, for more than an equal chance that it will on further trials.

Zabell [4] notes that:-

This is not Laplace's rule of succession, but rather a calculation of the posterior probability that the unknown chance x of the event exceeds 1/2 , based on Bayes's assumption that all values of x are a priori equally likely.

The Royal Society elected Price a fellow in 1765 on the strength of his contributions to probability. D O Thomas suggests that it was his publication of Bayes's papers which started Price's:-

... increasing involvement in insurance, demography, and financial and political reform.

It was in 1769, in a letter to Benjamin Franklin, that Price commented on the expectation of lives, the increase of mankind, and the population of London. His observations were published in the Philosophical Transactions of the Royal Society later the same year. In May 1770 Price wrote to the Royal Society explaining how to calculate the values of contingent reversions. Price seemed to be well aware that the recently established insurance and benefit societies were basing the calculations of their policies on erroneous theory.

We know that Price's scientific interests were very broad. That he was also interested in electricity is demonstrated by the fact that Joseph Priestley thanks him in the introduction to History and present state of electricity :-

... for the attention [he] has given to the work, and for the many important services [he has] rendered me with respect to it.

In fact Joseph Priestley, the discoverer of oxygen, was a friend of Price. They were both ordained to the Dissenting ministry and Priestley frequently visited Price in Newington Green. Other friends who visited Newington Green included John Howard, John Quincy Adams, Benjamin Franklin and Adam Smith.

in 1776 Price published a pamphlet Observations on Civil Liberty and the War with America. It is said that the Declaration of Independence of the Thirteen Colonies made on 4 July 1776 was influenced by Price's pamphlet. A second pamphlet in the spring of 1777 again discussed the war with America but also discussed national debts and other financial matters. In the winter of 1778 he was invited by Congress to go to America to assist in financial administration but he declined.

Sarah Price died in 1786 and by this time Price's health was deteriorating. However he still had the energy to preach a highly controversial sermon in 1789:-

On the forenoon of the 4th of November [1789], Doctor Richard Price, a non-conforming minister of eminence, preached at the dissenting meeting-house of the Old Jewry, to his club or society, a very extraordinary miscellaneous sermon, in which there are some good moral and religious sentiments, and not ill expressed, mixed up in a sort of porridge of various political opinions and reflections; but the Revolution in France is the grand ingredient in the cauldron.

The sermon, which was published, was highly controversial and Edmund Burke wrote a vigorous reply in Reflections on the Revolution in France arguing strongly in favour of an inherited monarchy. In the fourth edition of his published sermon Price wrote an introduction:-

Since the former editions of the following discourse, many animadversions upon it have been published. Under the abuse with which some of them are accompanied, I have been comforted by finding myself joined to the City of Paris, and the National Assembly of France. I cannot think of employing my time in making any replies. Knowing that it has been the labour of my life to promote those interests of liberty, peace, and virtue, which I reckon the best interests of mankind, and believing that I have not laboured quite in vain, I feel a satisfaction that no opposition can take from me, and shall submit myself in silence to the judgment of the public without taking any other notice of the abuse I have met with than by mentioning the following instance of it.

The Unitarian Society was established in 1791, shortly before Price's death, and he became a founder member. Price was buried in Bunhill Fields on 26 April 1791 and at the service Joseph Priestley gave the funeral sermon. Bunhill Fields was a dissenters' cemetery for those whose beliefs took them outside the Church of England.

Price was famous in his day, although his views were highly controversial, and many came to hear him preach. He received the freedom of the City of London and was honoured with the award of the degree of D.D. from Yale College. 


 

Books:

  1. A I Dale, Most honourable remembrance (New York- Berlin- Heidelberg, 2003).
  2. W Morgan, Memoirs of the life of the Rev Richard Price D.D., F.R.S. (London, 1815).

Articles:

  1. A Hald, Evaluations of the beta probability integral by Bayes and Price, Arch. Hist. Exact Sci. 41 (2) (1990), 139-156.
  2. S L Zabell, Buffon, Price, and Laplace : scientific attribution in the 18th century, Arch. Hist. Exact Sci. 39 (2) (1988), 173-181.

 




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.