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<pre>MD-2011-I sayisi dizgicimize yollanmistir. Dizginin son hali gozden
gecirildikten sonra da matbaaya gidecektir. Yani daha iki uc hafta var
cikmasina.
Gec cikiyor ama hep cikiyor!
Kapak konumuz "karelerin toplami" olacak. Daha cok sayilar kurami ve
cebire yakin, son derece ilginc bir konu.
Her dogal sayinin dort tamkarenin toplami oldugunu kanitliyoruz.
Hangi dogal sayilarin iki karenin toplami olarak yazildigini buluyoruz.
Her dogal sayinin 53 tane dorduncu kuvvetin toplami olarak
yazilabildigini kanitliyoruz.
Sonra sayilari terkedip daha cok polinomlar halkasinda ve bazen de en
genel cisimlerde calisiyoruz.
Unlu Hurwitz Teoremi'ni de kanitliyoruz.
Halk arasinda anlatmasi uygun olmayan belki ama her biri birbirinden ilginc teoremler kanitliyoruz.
Konu bitecek gibi degildi ve istahimiz giderek kabariyordu. Ne yazik ki her guzel
seyin bir sonu vardir ve bir yerde durmak zorunda kaldik.
Ilerd bu konuya devam ederek, Hilbert'in 17'nci problemine ve quadratik formlari konu eden bir
baska kapak konusu hazirlamayi dusunuyoruz.
Analize ara verdigimiz gozden kacmamistir. Bir sonraki sayida
integrallerle analize devam edecegiz. Iki uc sayi sonra soyut cebire,
nihayet, baslayabilecegiz.
Bu arada MD'nin kumeler kurami konularinin tumunu ve analiz kapak
konularinin buyuk bir kismini TUBA'nin acik ders notlarinda bulabilirsiniz.
Toplam 1500 sayfa filan. Adresi:
<a class="moz-txt-link-freetext"
href="http://www.acikders.org.tr/course/category.php?id=2">http://www.acikders.org.tr/course/category.php?id=2</a>. (Bkz. Sayilarin Insasi,
Aksiyomatik Kumeler Kurami ve Temel Analiz kitaplari.)
Iki matematik tarihi yazimiz var bu sayida ve ikisi de birbirinden ilginc.
Biri, Tosun hocamizin bir macera romani tadinda kaleme aldigi unlu matematikci
Constantin Caratheodory'yle ilgili. Caratheodory, Osmanli asilli bir Rum ailesinden
gelmektedir. Ikincisi ise Ali Torun'un kaleme aldigi unlu matematikci,
matematiksel sonsuzlugu bize sunan Georg Cantor.
Iki hocamizi yakin zamanda kaybettik: ODTU'nun emektar hocasi, her fen
liselinin belki bilmeden borclu oldugu Tugrul Taner'i ve TMD'nin en yasli uyesi,
Galatasaray'in ve Saint Joseph'in efsanevi matematik hocasi Yomtov
Garti'yi. Her iki meslektasimizi da anan sayfalarimiz var.
Matematik olimpiyatlarina MD'de yer vermeye devam ediyoruz. Bu sayida
esitsizlikleri konu ettik. Bitmedi. Bir sonraki sayida bu konuya cok daha fazla
yer ayiracagiz.
Populer matematige yerimiz kalmadi bu sayida ama daha cok liselilere
seslenen tum standart koselerimiz yerini koruyor.
Toplam 112 sayfa matematik. Turkiye'nin yegane matematik dergisi.
Ogrencilere abonelik 16 TL. En az 10 kisilik toplu abonelik sadece 14
TL. Bunlar maliyetine satislar... "Normal" abonelik 20 TL.
Gencleri dusunup fiyatimizi asagida tutmamiza yardim etmek isteyenler icin platin (100), altin (75),
gumus (50), bronz (25) gibi aboneliklerimiz de var.
Ayrintili icerik asagida.
Su anda piyasada olan fonksiyon ve egri cizimiyle ilgili sayimizi da bayinizden istemeyi unutmayin.
MD'yi bulabileceginiz bayilerin listesi <a class="moz-txt-link-freetext"
href="http://www.matematikdunyasi.org/2010_II_bayiler.xls">http://www.matematikdunyasi.org/2010_II_bayiler.xls</a> sayfasinda.
Matematik Koyu'ne de mutlaka bekleriz. Liseliler nerdeyse doldu, sadece
yedege alabiliyoruz; bir de en son donemdeki matematik olimpiyatlari
programina yer var. Tum matematik bolumu ogrencileri Koy'un havasini
solumalilar. Matematik Bolumu ogrencilerinden para talep etmiyoruz,
ancak usteleyerek verirlerse aliyoruz.
Saygilar, sevgiler,
Ali Nesin (<a class="moz-txt-link-abbreviated"
href="http://www.matematikdunyasi.org">www.matematikdunyasi.org</a>, <a
class="moz-txt-link-abbreviated" href="http://www.matematikkoyu.org">www.matematikkoyu.org</a>)
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<p class="MsoNormal" style="text-align: left; text-indent: 0cm;"
align="left">Giris :<br>
Giris Yazisi, Ali Nesin <br>
Kisa Kisa..., Safak Alpay <br>
Okurlardan <br>
TMD ve ERG deklarasyonu <br>
TUBITAK'la Ilgili Bazi Gorus, ve Oneriler, Ali Ozgur Kisisel <br>
TUBITAK-NMK Tartismasi, TUBITAK - Ali Nesin <br>
<br>
Basinda Matematik : <br>
Mektuptaki Son Cumle, Eyup Can<br>
YGS Sinavi Üzerine, Ali Nesin<br>
Her Universite Kendi Seçsin (Nese Duzel roportaji), Ustun Erguder<br>
Dev Deneyin Turk Aras,tirmacilari<br>
Matematik Ruya mi Kâbus mu, Betul Tanbay<br>
<br>
Kapak Konusu :<br>
Kuvvetlerin Toplami Olarak Yazilabilen Sayilar <br>
Lagrange'in Dort Kare Teoremi <br>
Iki Karenin Toplami Olarak Yazilan Sayilar <br>
Üç Karenin Toplami Olarak Yazilan Sayilar <br>
Bir Cisimde Karelerin Toplami <br>
Hurwitz Teoremi <br>
Pfister Teoremi (1) <br>
Pfister Teoremi (2), Stufe Derecesi ve Cassels Onsavi <br>
<br>
Kaybettiklerimiz :<br>
Tugrul Taner, Safak Alpay <br>
Hocam Tugrul Taner, Ersan Akyildiz <br>
Yomtov Garti <br>
Babamiz Yomtov Garti, Refika Inzelber ve Sarlot Sefkat Abenyakar <br>
Mosyo Garti, Engin Ardiç <br>
Insan Yomtov Garti, Estreya Seval Vali <br>
Âlimin Olumu Âlemin Olumu Gibidir, Serdar Devrim <br>
Yomtov Garti'nin Anisina, Huseyin Yarsuvat <br>
<br>
Tarih :<br>
Zor Zamanlarda Matematik I : Constantin Carathéodory, Tosun Terzioglu <br>
Georg Cantor, Ali Torun <br>
<br>
Sorular <br>
Problemler, Refail Alizade <br>
Onemli Esitsizlikler I (Olimpiyat Kosesi), Korkmaz Sonmez <br>
Cahit Arf Matematik Gunleri IX, II, 2010, yanitlar, Selçuk Demir <br>
Dogus U. Fen Lisesi Yarismasi 2010, yanitlar <br>
<br>
Çesitli <br>
Zeka Sorulari, Eureka, Haydar Goral <br>
Beyincik, Haydar Goral <br>
Satranc Kosesi, Kivanc Cefle <br>
Matrakmatik, Ergun Akleman </p>
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