... gone to the store or washed dishes at all. Yet they must have the same truth-value. If either of the assertions is true, then they both are; if either of the assertions is false, then they both ... we let A stand for P , and let B stand for Q & R. Formally, a proof is a sequence of assertions. The first assertions of the sequence are assumptions; these are the hypot...
Ngày tải lên: 21/02/2014, 09:20
Sources in the Development of Mathematics pot
... Also, in 1654 Pascal gave a lucid exposition of Sources in the Development of Mathematics The discovery of in nite products by Wallis and in nite series by Newton marked the beginning of the modern ... Contents 4 The Binomial Theorem 51 4.1 Preliminary Remarks 51 4.2 Landen’s Derivation of the Binomial Theorem 57 4.3 Euler’s Proof for Rational Indices 58 4.4...
Ngày tải lên: 05/03/2014, 22:21
The history of mathematics
... histories of the subject. Part of the purpose of this book is to redress the balance and to reclaim mathematics for the man, woman, and child in the street, to revisit the history of mathematics ... collectively known as ‘mixed mathematics , suggesting that mathematics was an integral part of each of them (not quite the same as the later concept of ‘appl...
Ngày tải lên: 19/03/2014, 10:57
andy warhol the life and art of the prince of pop 1775
... reflection of us. Andy, and his art, will not soon be forgotten. Andy Warhol: The Life and Art of the Prince of Pop Andy Warhol created the most sensational and often controversial art of the 1960's. ... star until you had the " ;Andy Stamp." There was not a price too high to pay for Andy Warhol to take their picture and paint t...
Ngày tải lên: 21/03/2014, 21:56
oxford handbook of the history of mathematics feb 2009
... dominated one tradition of Greek mathematics (though only one) and the other important aim of pushing ahead with the business of discovery. e issues of the canon of proof, and of whether and how to ... between what we call the study of nature (or the Greeks called phusike) on the one hand and mathematics on the other. Rather, each discipline dealt with th...
Ngày tải lên: 11/06/2014, 10:14
A Short Account of the History of Mathematics, by W. W. Rouse Ball pot
... used by Archytas to illustrate how considerable was the knowledge of the Pythagorean school at the time. Theodorus. Another Pythagorean of about the same date as Archytas was Theodorus of Cyrene, ... and towards the end of the century to have looked to Athens as the intellec- tual capital of the Greek world; and it is to the Athenian schools that we owe the nex...
Ngày tải lên: 28/06/2014, 19:20
The philosophy of mathematics, by Auguste Comte pot
... worthy of the importance, the extent, and the difficulty of the science. THE OBJECT OF MATHEMATICS. Measuring Magnitudes. The question of measuring a magnitude in itself presents to the mind no other ... "Logic," calls the work of M. Comte " ;by far the greatest yet produced on the Philosophy of the sciences;" and adds, " ;of this...
Ngày tải lên: 28/06/2014, 19:20
The Beauty of Mathematics
... you over the top! Here is an interesting and lovely way to look at the beauty of mathematics, and of God, the sum of all wonders. The Beauty of Mathematics Wonderful World Press the spacebar ... 23 24 25 26. Therefore, one can conclude with mathematical certainty that: While Hard Work and Knowledge will get you close, and Attitude will Get you there, It’s th...
Ngày tải lên: 19/07/2014, 02:00
some measures to help first-grades students in primary schools use effectively the language of mathematics
... Semantics of the language of mathematics in Mathematics textbooks of first grade in Primary education 1.7. The actual use of the language of mathematics in teaching Mathematics in Primary schools ... exchange their tasks/ roles. 2.3.2. Group 2 of measures: Training for students to use the language of mathematics Measure 1: Trai...
Ngày tải lên: 25/07/2014, 14:39
Báo cáo sinh học : " The importance of mathematics in biology is a matter of perennial debate" pot
... make sense of the facts, at least in so complex a system as a developing embryo, then facts - and indeed understanding - at many levels must be fed into the mathematics. Nor should the value of ... vertebrates in so fundamental a process seems surprising, and may dwindle (either in extent or in significance) with the accumulation of more facts. In any event, if...
Ngày tải lên: 06/08/2014, 19:20
Alternative views on the nature of mathematics and their possible influence on the teaching of mathematics
... theoretical perspectives of mathematics education, and in particular, views of the nature of mathematics. It is suggested that alternative views may significantly affect the teaching of mathematics in distinct ... in themselves. The strong thesis does not imply, however, that there is no distinction between the various kinds of rational rules adopted in a so...
Ngày tải lên: 11/10/2014, 04:11
THE BEAUTY OF MATHEMATICS - 09/16/2011
... K 8+1+18+4+23+15+18+11 = 98% and K-N-O-W-L-E-D-G-E 11+14+15+23+12+5+4+7+5 = 96% But A-T-T-I-T-U-D-E 1+20+20+9+20+21+4+5 = 100% Therefore, one can conclude with mathematical certainty that: While ... Here is an interesting way to look at the beauty of mathematics The Beauty of Mathematics Wonderful World 1 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 ... help Answer th...
Ngày tải lên: 23/10/2014, 22:00
THẪM MỸ TRONG TOÁN HỌC - THE BEAUTY OF MATHEMATICS
... K 8+1+18+4+23+15+18+11 = 98% and K-N-O-W-L-E-D-G-E 11+14+15+23+12+5+4+7+5 = 96% But A-T-T-I-T-U-D-E 1+20+20+9+20+21+4+5 = 100% Therefore, one can conclude with mathematical certainty that: While ... help Answer these questions: If: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Is represented as: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26. then H-A-R-D-W-O-R...
Ngày tải lên: 05/05/2015, 09:00