• Newton Metodundan Elde Edilen Rasyonel Fonksiyonların Dinamiği ve Geometrisi 

      Yüceer, Abdüsselam (Fen Bilimleri Enstitüsü, 2017-03)
      In this study a new iterative method is introduced, aims to find all roots of complex polynomials with help of Newton’s method. There are methods similar to this one, their degrees are introduced by Sutherland in 1989 ...
    • Open Book Decompositions and Contact Surgeries 

      Yıldırım, Yasemin (Fen Bilimleri Enstitüsü, 2018)
      By Alexander it was shown that an open book decomposition can be found for each closed, oriented 3-manifold. In this thesis, the importance of open book decompositions in terms of contact 3-manifolds will be studied by ...
    • Pi-Extendıng Modüllerin Dik Toplananları Üzerine 

      Yaşar, Ramazan (Fen Bilimleri Enstitüsü, 2015)
      This work consists of five chapters. In the first chapter, the basic properties of useful certain kind of submodules in module and ring theory which are named as essential and complement submodules are given. In the second ...
    • Reidemeister Torsiyon ve Yönlendirilmiş Yüzeylerin Pantolon Parçalanışı 

      Dirican, Esma (Fen Bilimleri Enstitüsü, 2015)
      In this thesis, we consider pants decomposition of orientable Riemann surfaces. First, using the notion symplectic chain complex, we prove a new formula Reidemeister torsion of a pair of pants. By using this, we establish ...
    • Riesz Uzayları Üzerinde Tanımlı Sıra Kompakt ve Sınırsız Sıra Kompakt Operatörler 

      Özdemir, Şaziye Ece (Fen Bilimleri Enstitüsü, 2020-08-28)
      Order convergence and unbounded order convergence are not topological terms on Riesz space. On the other hand, compact operatör takes an important place in functional analysis. In this thesis, we investigate order compact ...
    • Serbest veya Yüzey Grubunun Temsil Uzayları ve Reidemeister Torsiyon 

      Hezenci, Fatih (Fen Bilimleri Enstitüsü, 2019)
      In this thesis, by using the algebraic topological instrument symplectic chain complex and the toplogical invariant Reidemeister torsion, which has also many applications in several branches of mathematics and theoretical ...
    • Simitli Bir Çeşitlemin Genişlemeleri Üzerinde Hesaplama Kodları 

      Yakut, Yeliz (Fen Bilimleri Enstitüsü, 2017-09)
      In this thesis, evaluation codes defined on special subsets of projective toric varieties are studied. Two methods are presented in detail for finding generators of vanishing ideals which are used to compute parameters of ...
    • Simitli Çeşitlem Üzerinde Üzerinde Parametrik Kodlar Ve Sıfırlayan İdealler 

      Baran Özkan, Esma (Fen Bilimleri Enstitüsü, 2021)
      Let X be a complete simplicial toric variety over a finite field with a split torus T_X. This thesis is on parameterized codes obtained from the subgroups of the torus T_X parameterized by matrices. It is very important ...
    • Solutıon of Dıfferentıal Equatıons Usıng Nonstandard Fınıte Dıfference Methods 

      Kara, Erdi (Fen Bilimleri Enstitüsü, 2015)
      Differential equations are mostly used to model real life problems. However, it is known that in general, these equations do not have complete solutions. For that reason, researchers have tried to solve these problems by ...
    • Some Families of Combinatorial Matrices and Their Algebraic Properties 

      Arıkan, Talha (Fen Bilimleri Enstitüsü, 2018-09)
      In this thesis, we will study some properties of certain families of combinatorial matrices. While some of the families will be examined throughout this thesis are new and firstly investigated, the others are the generalizations ...
    • Some Generalizations of Quasi-Projective Modules 

      Kaleboğaz, Berke (Fen Bilimleri Enstitüsü, 2014)
      Our main goal in this dissertation is to investigate semi-projective modules, direct projective modules and SGQ-projective modules, which are generalizations of quasi-projective modules and to discover new properties and ...
    • Some Results on Operator Theory Based on Unbounded Convergence 

      Gezer, Niyazi Anıl (Fen Bilimleri Enstitüsü, 2020-08-31)
      Main topic of the this work is to use the notion of unbounded convergences on vector lattices to derive properties of various classes of operators and nets of operators defined between vector lattices, Banach lattices, and ...
    • Bir Sınıf Doğrusal Olmayan Difüzyon Denklemlerinin İncelenmesi 

      Düzgün, Fatma Gamze (Fen Bilimleri Enstitüsü, 2014)
      This work is devoted to the existence and uniqueness of the solution of 3. typeinitial-boundary value problem for nonlinear diffusion type equation and also devotedto the behavior of solution. In the first chapter, our ...
    • Bir Sınıf Doğrusal Olmayan Difüzyon-Konveksiyon Denklemlerinin İncelenmesi 

      Kallı, Kerime (Fen Bilimleri Enstitüsü, 2014)
      In this dissertation, the solvability, uniqueness and long-time behavior of solution of the nonlinear diffusion-convection equation with 3. type boundary condition have been investigated. Firstly, when the initial condition ...
    • Bir Sınıf Doğrusal Olmayan Difüzyon-Reaksiyon Denklemlerinin İncelenmesi 

      Öztürk, Eylem (Fen Bilimleri Enstitüsü, 2014)
      In this dissertation, the study of long-time behavior and solvability of the reaction-diffusion equation, which has a polynomial growth nonlinearity of arbitrary order, with Robin boundary condition on the bounded domain ...
    • Sıralı Banach Uzayları Üzerinde Tanımlı Homojen Markov Zincirlerinin Cesaro Ortalamalarının Pertürbasyon Sınırları 

      Özbay, Fatma (Fen Bilimleri Enstitüsü, 2017-12-20)
      Dobrushin’s ergodicity coefficient is one of the effective tools for the investigations of limiting behaviours on the Markov process theory. Several interesting properties of the ergodicity of positive operators defined ...
    • T0-metrikimsi Uzayların Simetrisizliğine Yaklaşım Teorileri 

      Javanshır, Nezakat (Fen Bilimleri Enstitüsü, 2021-12-28)
      The aim of this thesis is to construct various original metric approach theories speci c to the asymmetric environment for the asymmetry of T0-quasi-metrics, non-metrics and also known as asymmetric distance functions, ...
    • The Injective Profile of a Ring and its Effect on the Structure of Rings 

      Yuca, Nergiz (Fen Bilimleri Enstitüsü, 2020)
      This thesis is partly based on recent developments on the subject of what is known as “injectivity domains” in the theory of modules over rings with identity. The subject was suggested as a measurement of how far a module ...
    • Topolojik Uzaylarda Yakınlık 

      Şefik, Özgün (Fen Bilimleri Enstitüsü, 2017)
      This paper consists of four chapters. The fi rst chapter is an introduction which contains the basic motivation of nearness theory. The second section is devoted to nearness in metric spaces. Here, the nearness of two sets ...
    • Torus Knots and Contact Surgeries 

      Saraç, İrem Özge (Fen Bilimleri Enstitüsü, 2018)
      A closed curve homeomorphic to the unit circle in a 3-manifold is called a knot. In particularly, a knot that can be drawn on a torus without intersecting itself is called a torus knot. In this thesis, we study torus knots ...