الصفحة 23
الصفحة 23
A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the undergraduate level. The book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each new concept is presented with a natural picture that students can easily grasp. Algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions. A centerpiece of the text is the generalized Stokes' theorem. Although this theorem implies all of the classical integral theorems of vector calculus, it is far easier for students to both comprehend and remember.
A Course in Calculus and Real Analysis
Provides a self-contained and rigorous introduction to calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications. The authors have strived to make a distinction between the intrinsic definition of a geometric notion and its analytic characterization. It highlight the fact that calculus provides a firm foundation to several concepts and results that are generally encountered in high school and accepted on faith. For example, one can find here a proof of the classical result that the ratio of the circumference of a circle to its diameter is the same for all circles. Also, this book helps get a clear understanding of the concept of an angle and the definitions of the logarithmic, exponential and trigonometric functions together with a proof of the fact that these are not algebraic functions. A number of topics that may have been inadequately covered in calculus courses and glossed over in real analysis courses are treated here in considerable detail. As such, this book provides a unified exposition of calculus and real analysis.
50 Years of EU Economic Dynamics : Integration, Financial Markets and Innovations
On the occasion of the 50th anniversary of the European Union experts present their analyses of historical developments and new economic challenges for the EU. After a reflection on historical dynamics, the contributors point out the dramatic economic shifts between Europe, Asia and the US. Representatives from major central banks (including the ECB), other leading banks, and academia analyze the dynamics of the Eurozone and financial market integration in the context of globalization and economic growth. Furthermore, the authors discuss the challenges of information and communication technologies by means of various country analyses. Moreover, the Schumpeterian prospects for Europe and the Lisbon Agenda, the long-term challenges of EU pension reforms, emission trading systems in the EU, and options for a new EU constitution are highlighted. At the bottom line of this EU analysis are major implications for investors, managers, policy-makers and the public at large in both the EU and the global economy.
3D Segmentation for medical images (OsteoVision) = التقطيع ثلاثي الأبعاد للصور الطبية
With the increasing integration of AI across various sectors, artificial intelligence (AI) is already playing a significant role in the healthcare industry, and its use is expected to grow further. AI systems used in image processing and computer vision algorithms have shown a significant ability to perform many operations such as segmentation, classification, and detection. This project presents the application of computer vision algorithms in the field of medical imaging for diagnostic, therapeutic, and interventional purposes. This thesis explores the use of several computer vision algorithms to address different pathologies, specifically brain tumors (glioma) (see Appendix A) and knee osteoarthritis (OA), as well as tracking the progression of knee osteoarthritis using the Kellgren and Lawrence (KL) grading system, a common method for classifying the severity of OA into five grades. To achieve the desired impact, the project employs various techniques, including 3D segmentation for brain tumors, 2D segmentation for knee joints, and multinomial classification for determining the severity of knee OA injuries. The primary aims of the project are to enhance diagnostic accuracy, assist in creating treatment plans, provide an assistive tool for healthcare providers to make more informed decisions, leverage AI's capabilities to detect abnormalities that might escape the human eye, and streamline workflow. To facilitate these goals, the project incorporates a user-friendly UI, a website, and a Flutter-based mobile application, enabling healthcare providers to efficiently integrate these tools into their practice and improve patient care.
3D Recording and Interpretation for Maritime Archaeology
Includes recording and analysis of maritime archaeology through emerging technologies, including both practical and theoretical contributions. Topics include photogrammetric recording, laser scanning, marine geophysical 3D survey techniques, virtual reality, 3D modelling and reconstruction, data integration and Geographic Information Systems. This convergence of digital technologies such as underwater photography and photogrammetry, 3D sonar, 3D virtual reality, and 3D printing has highlighted a pressing need for these new methodologies to be considered together, both in terms of defining the state-of-the-art and for consideration of future directions.
10 Years Southeast European Cooperative Initiative : From Dayton to Brussels
The Southeast European Cooperative Initiative (SECI) was the first international instrument for "peace keeping and peace making". Conceived by the United States with full partnership and participation of the European Union, SECI was a response to the Dayton Agreement. SECI was convinced that sending troops and diplomats did not suffice. It called for a new strategy and approach that would promote economic and social development through regional cooperation. SECI understood that despite their differences, the countries of South East Europe shared many mutual concerns. For the international community, SECI was a prelude to a broader instrument - the Stability Pact for South Eastern Europe, launched in 1999. The approach was a success! This compendium of documents, agreements, analyses and essays gives a glimpse into decision-making processes and results achieved.
