This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.

This is an open access book. The Unima International Conference on Social Sciences and Humanity (UNICSSH) 2022 was conducted on October, 11th – 13th 2022, at The Grand Kawanua International City, Manado, North Sulawesi, Indonesia. In 2022, Universitas Negeri Manado will host the Indonesian National Education Convention (KONASPI) X. Konaspi is a routine activity of the PPTKN which is held once every four years. The fourth industrial revolution (4.0) is marked by technological advances and supported by artificial intelligence that creates opportunities and challenges for the education system. University and vocational school graduates are facing a world transformed by technology which in turn is transforming the workplace from task-based to human-centered characteristics. Certain skills such as critical thinking, emotional intelligence, problem-solving, cognitive flexibility, and knowledge production are required. To answer this demand, the education system must put revolutionary innovation on its agenda. Scholars, researchers, and practitioners are invited to share ideas, research results, and best practices about education, science, and technology now and in the future at an international conference held by Universitas Negeri Manado as part of the Indonesian National Education Convention (KONASPI). As part of KONASPI X activities, Universitas Negeri Manado is holding the 2022 International Conference on Education, Social Science, and Humanities (ICESSHum). The topics in this international conference are Education, Law, Politics and Social Sciences, Economics, Public Administration, and Humanities. Through these themes, it is expected to involve many professionals who have indirect roles in related fields. To enrich this event, the committee invites all national and international participants (including academics, researchers, professionals, and other relevant stakeholders) to send research papers or review papers to be presented at the conference.

Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics. The contributions in this volume are based on papers presented at a workshop dedicated to enhancing international cooperation between mathematicians and physicists in various aspects of frontier research on noncommutative differential geometry. The active contributors present both the latest results and comprehensive reviews of topics in the area. The book is accessible to researchers and graduate students interested in a variety of mathematical areas related to noncommutative geometry and its interface with modern theoretical physics.

Concerns about quality mathematics education are often posed in terms of the types of mathematics that are worthwhile and valuable for both the student and society in general, and about how to best support students so that they can develop this mathematics. Concerns about equity are about who is excluded from the opportunity to develop quality mathematics within our current practices and systems, and about how to remove social barriers that systematically disadvantage those students. This collection of chapters summarises our learning about the achievement of both equity and quality agendas in mathematics education and to move forward the debate on their importance for the field.

This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.