history Of Mathematics
Arguably the most famous theorem inwards all of mathematics, the Pythagorean Theorem has an interesting history. Known to the Chinese as well as the Babylonians to a greater extent than than a millennium earlier Pythagoras lived, it is a "natural" final result that has captivated mankind for 3000 years. More than 300 proofs are known today.
(The diagram to the left is that used past times Euclid inwards his proof given 2300 years ago.)
Exploring the concepts, ideas, as well as results of mathematics is a fascinating topic. On the 1 mitt roughly breakthroughs inwards mathematical see nosotros volition report came equally accidents, as well as on the other mitt equally consequences of attempts to solve roughly bully opened upwards problem. For example, complex numbers arose inwards the report of the solution of cubic polynomials. At commencement distrusted as well as ultimately rejected past times their discoverers, Tartaglia as well as Cardano, complex numbers were afterward found to convey monumental significance as well as applications.
In this class you lot volition see firsthand many of the results that convey made what mathematics is today as well as run across the mathematicians that created them. One especially interesting attribute of these "builders" of mathematical construction is how clear they were virtually what to prove. Their results plow out to hold upwards simply what is needed to found other results sometimes inwards an unrelated area. What is hard to sympathise for the ordinary mathematics students is simply how vivid these people were as well as how tenaciously they attacked problems. The personality of the greatest mathematicians bridge the gamut from personable as well as friendly to arrogant as well as rude.
Nonetheless, it is the mathematics that is important. For the most business office nosotros volition focus on the dependent area itself.
How to pursue this course.
Each chapter contains goals, readings, as well as problems. You should laid out past times reading the goals of the chapter earlier the readings as well as respond the problems during as well as after reading the material. You volition see this.
In most cases the reading volition hold upwards presented inwards the cast of Acrobat (PDF) documents. To read as well as impress them you lot volition bespeak the Adobe Acrobat Reader.
The Goals as well as Problems volition hold upwards given equally HTML documents.
Web Mathematics History References
Mathematics Archives at the University of Tennessee
St. Andrews
Clark University
Trinity College, Dublin
Mathematical Museum
Math-Net
General References
There are many fantabulous history of mathematics texts. Below nosotros listing several of them, though roughly are topic specific. For supplementary reading, you lot should consider purchasing 1 or to a greater extent than of these titles or borrowing them from your local library.
Influenza A virus subtype H5N1 History of Mathematics, 2d Ed., Carl B. Boyer, Revised past times Uta C. Merzbach, Wiley, NY, 1991.
Influenza A virus subtype H5N1 History of Mathematics - An Introduction, Victor Katz, Harper Collins, NY, 1993.
The History of Mathematics - An Introduction, David M. Burton, McGraw-Hill, New York, 1997.
Influenza A virus subtype H5N1 Short Account of the History of Mathematics, fifth Ed., W. W. Rouse Ball, McGraw-Hill, New York, 1912
Influenza A virus subtype H5N1 Concise History of Mathematics, Dirk J. Struik, Dover Publications, New York, 1967.
Influenza A virus subtype H5N1 History of Mathematics, fifth Ed., Florian A. Cajori, Chelsea, New York, 1991.
Elements of the History of Mathematics, Nicolas Bourbaki, Springer-Verlag, New York, 1993.
History of Mathematics , two volumes, David E. Smith, Bover, New York, 1958.
Number Theory: An Approach Through History, from Hammurapi to Legendre, Andre Weil, Birkhauser, Boston, 1984.
Mathematics inwards Western Culture, Morris Kline, Oxford University Press, New York, 1953.
Mathematical Thought from Ancient to Modern Times, Morris Kline, Oxford University Press, New York, 1972.
There are many other references. Please cheque amongst your teacher virtually the suitability of a item source.
Arguably the most famous theorem inwards all of mathematics, the Pythagorean Theorem has an interesting history. Known to the Chinese as well as the Babylonians to a greater extent than than a millennium earlier Pythagoras lived, it is a "natural" final result that has captivated mankind for 3000 years. More than 300 proofs are known today.
(The diagram to the left is that used past times Euclid inwards his proof given 2300 years ago.)
Exploring the concepts, ideas, as well as results of mathematics is a fascinating topic. On the 1 mitt roughly breakthroughs inwards mathematical see nosotros volition report came equally accidents, as well as on the other mitt equally consequences of attempts to solve roughly bully opened upwards problem. For example, complex numbers arose inwards the report of the solution of cubic polynomials. At commencement distrusted as well as ultimately rejected past times their discoverers, Tartaglia as well as Cardano, complex numbers were afterward found to convey monumental significance as well as applications.
In this class you lot volition see firsthand many of the results that convey made what mathematics is today as well as run across the mathematicians that created them. One especially interesting attribute of these "builders" of mathematical construction is how clear they were virtually what to prove. Their results plow out to hold upwards simply what is needed to found other results sometimes inwards an unrelated area. What is hard to sympathise for the ordinary mathematics students is simply how vivid these people were as well as how tenaciously they attacked problems. The personality of the greatest mathematicians bridge the gamut from personable as well as friendly to arrogant as well as rude.Nonetheless, it is the mathematics that is important. For the most business office nosotros volition focus on the dependent area itself.
How to pursue this course.
Each chapter contains goals, readings, as well as problems. You should laid out past times reading the goals of the chapter earlier the readings as well as respond the problems during as well as after reading the material. You volition see this.
In most cases the reading volition hold upwards presented inwards the cast of Acrobat (PDF) documents. To read as well as impress them you lot volition bespeak the Adobe Acrobat Reader.
The Goals as well as Problems volition hold upwards given equally HTML documents.
Web Mathematics History References
Mathematics Archives at the University of Tennessee
St. Andrews
Clark University
Trinity College, Dublin
Mathematical Museum
Math-Net
General References
There are many fantabulous history of mathematics texts. Below nosotros listing several of them, though roughly are topic specific. For supplementary reading, you lot should consider purchasing 1 or to a greater extent than of these titles or borrowing them from your local library.
Influenza A virus subtype H5N1 History of Mathematics, 2d Ed., Carl B. Boyer, Revised past times Uta C. Merzbach, Wiley, NY, 1991.
Influenza A virus subtype H5N1 History of Mathematics - An Introduction, Victor Katz, Harper Collins, NY, 1993.
The History of Mathematics - An Introduction, David M. Burton, McGraw-Hill, New York, 1997.
Influenza A virus subtype H5N1 Short Account of the History of Mathematics, fifth Ed., W. W. Rouse Ball, McGraw-Hill, New York, 1912
Influenza A virus subtype H5N1 Concise History of Mathematics, Dirk J. Struik, Dover Publications, New York, 1967.
Influenza A virus subtype H5N1 History of Mathematics, fifth Ed., Florian A. Cajori, Chelsea, New York, 1991.
Elements of the History of Mathematics, Nicolas Bourbaki, Springer-Verlag, New York, 1993.
History of Mathematics , two volumes, David E. Smith, Bover, New York, 1958.
Number Theory: An Approach Through History, from Hammurapi to Legendre, Andre Weil, Birkhauser, Boston, 1984.
Mathematics inwards Western Culture, Morris Kline, Oxford University Press, New York, 1953.
Mathematical Thought from Ancient to Modern Times, Morris Kline, Oxford University Press, New York, 1972.
There are many other references. Please cheque amongst your teacher virtually the suitability of a item source.
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