GeometrikDusunceIlkeleri_Mockupsm
Geometrical Thinking Principles (in Turkish)
Author: Zekâi Şen
Page Number:115
Book Type: Kitap Kağıdı
Publication Type: With Color
Cover:Hard-cover
Dimensions:16x24
ISBN:978-975-561-538-7
E-ISBN: 978-975-561-539-4
     

The main purpose of writing this book is unfortunately to touch on the point that many students do not like mathematics lessons because of the lack of geometry, as a result of trying to teach them only verbally, without giving the basic structures that can be explained with the geometric and shapes that form the basis of the mathematical expressions that are tried to be taught in education. In fact, it is called the king or queen of mathematical sciences, but not teaching the knowledge of nature and the environment in general, which is the mother of it, and the knowledge of knowledge artificially called geometry in particular, causes mathematics to hang. In this book, starting from the historical development of morphology and geometrical principles, after focusing on the philosophy, logic, and lexicon, it is explained how some mathematical equations can be derived simply by using the geometry basis.

In the preparation of this book, the subjects arising from the courses I gave at ITU and which are tried to be learned by the students with curiosity and interest were taken as basis. I would like to thank Muhiddin Yenigün, Press and Publication Manager of the Su Foundation, who supported me by designing the book. I would also like to thank the ITU Rectorate, who helped to publish the book, and especially Rector İsmail Koyuncu, who has made a distinguished name for himself among my students. Finally, I would like to express my gratitude to my wife, Fatma Hanım, who has always supported me in my scientific studies.

Giriş
Kaynaklar
BÖLÜM 2 GEOMETRİ TANIMI
Geometrinin Tanımı
Temel Şekiller
Harfler
Sayılar
Görsel Algılama
Kaynaklar
BÖLÜM 3 GEOMETRİ VE BİLİMLER
Geometri Nedir? 
Geometri ve Felsefe 
Geometri ve Mantık
Mantık İlkeleri 
Geometri ve Bilim
Geometri ve Matematik
Geometri ve Fizik 
Geometri, Mühendislik ve Mimari 
Geometri ve Bilgisayar Bilimi 
Geometri ve Muhakeme 
Geometri ve Kültür
Kaynaklar 
BÖLÜM 4 GEOMETRİ TARİHİ
Giriş 
Geometri Tarihi 
Eski Mısır’da Geometri
Eski Mezopotamya’da Geometri
Eski Yunan’da Geometri 
Roma ve Geometri 
BÖLÜM 5 İSLAM DÜNYASI GEOMETRİ DESENLERİ
Giriş 
İslam’da Geometri
İslami Desen Çıkarımı
İslam’da Üçgen Desen Hesaplamaları (Trigonometri) 
Üçgenin İç Açılarının Toplamı Kaçtır? 
Dik Üçgenin Kenarları Arasındaki İlişki
Genel Bir Üçgenin Kenarları ve Açıları Arasındaki İlişki 
Trigonometri (Üçgen Hesaplamaları) 
İslam Yapay Zekâ Geometrisi 
Kaynaklar 
BÖLÜM 6 GEOMETRİ TÜRLERİ
Giriş 
Düzlem Geometrisi 
Konikler 
Küresel Geometri
Tasarı Geometri 
Kesirli Geometri 
Kesirli Boyut Ölçütleri 
Pergel Yöntemi
Riemann Geometrisi
Lobaçevski Geometrisi 
Kaynaklar 
BÖLÜM 7 ARİTMETİK VE GEOMETRİ
Genel 
Sayı Küme Şekilleri 
Alt Küme Saymaları 
Sırasız Alt Küme Sayısı
Sıralı Alt Küme Sayısı 
Düz Mantık Geometri Modelleri
Rastgele Sayılarla Alan Bulunması 
Ağaç Diyagramı  
Kombinasyonlar  
Sıralı Alt Kısımlı Sayma 
Binom Katsayıları 
İslam Dünyası Geometrik Çarpma ve Bölmesi 
BÖLÜM  8 MATEMATİK FONKSİYONLAR VE GEOMETRİ
Giriş  
Matematik Fonksiyonların Temeli  
Çok Terimliler
Tek Terimliler (Sabitler) 
İki Terimliler (Doğrular)
Üç Terimliler (Paraboller)
Dört Terimliler (Kübikler) 
Beş Terimliler (Kuadratikler)
Kesirli Terimliler 
Üssel (Eksponansiyel) Şekiller 
Kuvvet Şekilleri 
İki Eksen Yalamalı (Hiperbolik) Şekiller 
Logaritmik Şekiller 
Dalgalı Şekiller 
Cebir
Birinci Tip Denklemlerin Çözümü
İkinci Tip Denklemlerin Çözümü
Üçüncü Tip Denklemlerin Çözümü
İkinci Dereceden Denklem Çözümü
Diferansiyel Denklem Geometrisi 
İntegral Geometrisi
Rastgele Geometri 
Teknoloji ve Geometri 
Bulanık Mantık Modeli 
Diferansiyel Denklem Çıkarımı 
Isı Transferi Denklemi
Matematik ve Geometri 

Zekai Şen

Dr. Zekai Şen graduated from ITU Civil Engineering Department as a graduate engineer in 1972 and completed his master's and doctorate in a short time from Imperial College and University of London in England. Dr. Zekai Şen continued his academic life at ITU between 1975-1982.

Dr. Şen worked in the Hydrogeology Department of King Abdulaziz University in Saudi Arabia between 1982-1992 and was the Head of the Department there. While he was working in Saudi Arabia, he was conferred the "Water Scientist Title and Seal" by the American Hydrology Institute. Dr. In 1992, Zekai Şen was appointed to the Department of Meteorology Engineering at the Faculty of Aeronautics and Astronautics at ITU, where he made a definite return to the country, where he carried out scientific studies on water, meteorology, climate and renewable energy. Dr. Zekai Şen continued his scientific studies at the Department of Civil Engineering at ITU Faculty of Civil Engineering between 1999-2014 until his retirement. Dr. Zekai Şen worked at the Intergovermental Panel on Climate Change (IPCC) between 2003 and 2007. In 2007, the NOBEL award was shared between Al Gore and the IPCC, and Dr. Zekai Şen was given a NOBEL certificate for being in the IPCC team.

Granted the Encouragement Award from TÜBİTAK in 1978 and the Science Award in 1993, Dr. While Şen wrote 30 books in Turkish, 16 books in English were published by reputable international publishing houses. Dr. Şen has a total of 400 publications, almost half of which are single-named, scanned in Web of Science. The most important features of these publications are that they necessarily contain a new approach. As a result of his principle of introducing a new approach in publications, Dr. Zekai Şen has brought many scientific methods to the literature.

Dr. Zekai Şen has been the Chairman of the Board of Trustees of the Water Foundation, which is also an important NGO, for many years and makes significant contributions to water-related studies. After his retirement from ITU, he continues his studies at Istanbul Medipol University.

Dr. Zekai Şen is married and has three children, one of whom is a girl.