FRACTAL GEOMETRY AND ITS APPLICATIONS 
                                    
           A project report submitted to Christ College (Autonomous) in partial fulfillment of 
              requirement for the award of the B.Sc. Degree Programme in Mathematics 
                                    
                                    
                             AUSTIN FRANCIS 
                            Reg. No. CCASSMT025 
                                    
                                    
                                            
                                    
                                    
                                    
                                    
                                    
                      DEPARTMENT OF MATHEMATICS 
                       CHRIST COLLEGE (AUTONOMOUS) 
                               Irinjalakuda 
                                 2021                
                                                     CERTIFICATE 
                
               This is to certify that the project titled “FRACTAL GEOMETRY AND ITS APPLICATIONS” 
               submitted to the Department of Mathematics in partial fulfillment of the requirement of the BSc, 
               Degree Programme in Mathematics, is a bonafide record of the original research done by Mr. 
               AUSTIN  FRANCIS  (CCASSMT025)  during  the  period  of  her  study  in  the  department  of 
               Mathematics, Christ College (Autonomous), Irinjalakuda under my supervision and guidance during 
               the year 2020-2021. 
                
                
               Fr. Dr. Vincent N S                                               Dr. Seena V 
               Department of Mathematics                                         HoD in Charge 
               Christ College (Autonomous)                                       Department of Mathematics 
               Irinjalakuda                                                      Christ College (Autonomous) 
                                                                                 Irinjalakuda. 
                
                
                
                
                
               External Examiner :  
                
                
                
               Irinjalakuda 
               03 May 2021 
                
                
                                                      DECLARATION 
                                                                    
                                                                    
                 
                I hereby declare that the project work entitled submitted to the Department of Mathematics, Christ 
                College (Autonomous), Irinjalakuda in partial fulfillment of the requirement for the award of the BSc. 
                Degree programme in Mathematics is a record of original project work done by me during the period 
                of my study in the Department of Mathematics, Christ College, Irinjalakuda. 
                 
                 
                 
                 
                 
                 
                Irinjalakuda                                                                AUSTIN FRANCIS 
                03 May 2021 
                 
                 
                 
                 
                 
                 
                 
                 
                 
                 
        
        
                    ACKNOWLEDGEMENT 
        
       It is our proud privilege to release the feelings of our gratitude to several persons who helped us 
       directly  or  indirectly  to  conduct  this  project  work.  Working  on  this  project  “FRACTAL 
       GEOMETRY AND ITS APPLICATIONS” was a source of immense knowledge to us. We express 
       our heartfelt indebtedness and owe and a deep sense of gratitude to our project guide  Fr. Dr. Vincent 
       N S , Assistant Professor, Christ College (Autonomous), Irinjalakuda for his sincere guidance and 
       inspiration in completing this project. We also take this opportunity to express our sincere thanks to 
       our beloved Principal Fr. Dr. Jolly Andrews CMI, who gave us a chance to do this project. 
        We take our word of gratitude to Dr. Seena V, Head of the department in charge and all other teachers 
       of the department for providing us the necessary help to complete our project on time. We also think 
       all faculty of library for their valuable support and enrichment. We would also like to thank our 
       parents for their love and support to complete our project. We also thank all our friends for their 
       contribution.  
       The study has indeed helped us to explore more knowledgeable avenues related to our topic and we 
       are sure it will help in our future. 
        
        
                                      AUSTIN FRANCIS