Products related to Mathematics:
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The Mathematics of Models for Climatology and Environment
This book is the culmination of the NATO Advanced Study Institute on The Mathematics of Models for Climatology and Environment which was held at Puerto de la Cruz ,Tenerife, Spain during 11-21 January 1995.One of the main goals of the ASI was to establish a bridge between mathematical modellers on the one hand and physical oceanographers and climatologists on the other.The book is divided into fourth parts containing a total of 16 chapters: Parts I, II and III are devoted to general models and Part IV to models related to some local problems.Most of the mathematical models here considered involve systems of nonlinear partial differential equations.The mathemat ical treatment cover a large list of subjects: existence and uniqueness for well-possed problems, large time behaviour, stability, bifurcation,diagrams of equilibria, conditions for the occurrence of interfaces or free boundaries, numerical algorithms and its implementation, controllability of the problems, etc.I thank Jacques- Louis Lions and Cornelius Johannes van Duijn for their guidance and collaboration as co-directors of the AS!.I also thank J.F.Padial and G. Diaz for their help in the planning and conduct of the ASI as well as in the preparation of this book.
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Fashion and Environmental Sustainability : Entrepreneurship, Innovation and Technology
The wide range of topics that the book covers are organised into sections reflecting a cradle to grave view of how entrepreneurial, innovative, and tech-savvy approaches can advance environmental sustainability in the fashion sector.These sections include: sustainable materials; innovation in design, range planning and product development; sustainable innovations in fashion supply chains; sustainable innovations in fashion retail and marketing; sustainable alternatives for end-of-life and circular economy initiatives; and more sustainable alternative fashion business models.
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Sustainability and Global Challenges : Analysis by Mathematics of Uncertainty
This book focuses on the relationship between Artificial Intelligence (AI) and the Sustainable Development Goals (SDGs).One of the most important issues the world is facing is sustainability.All members of the United Nations adopted Agenda 2030 and the Sustainable Development Goals.Associated with the SDGs are many serious global problems.These problems include climate change, global poverty, global hunger, human trafficking, homelessness, biodiversity, extinction, and terrorism.The author’s purpose is to develop a textbook concerning the SDGs and how they relate to these problems.A recent issue has emerged. That is Artificial Intelligence. AI has tremendous potential to do both good and harm.The book is designed in such a way that it can be used as an undergraduate textbook on sustainability.Consequently, the mathematics involved is kept at a reasonable level.One of the author’s goals is to prepare the reader to further their study of global issues.In particular, to provide them the background needed to examine the three books in the Springer Series Studies in Systems, Decision and Control, volumes 299, 353, and 391.Exercises are provided in the text as well as an instructor's manual.Some topics examined in the book include country achievement of the SDGs, the relationship between human trafficking and the SDGs, climate change, and global problems mentioned above.
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Innovation in Energy Security and Long-Term Energy Efficiency
The sustainable development of our planet depends on the use of energy. The growing population of the world inevitably causes an increase in the demand for energy, which, on the one hand, threatens the potential for shortages of energy supply, and, on the other hand, causes the deterioration of the environment.Therefore, our task is to reduce this demand through different innovative solutions (i.e., both technological and social). Social marketing and economic policies can also play a role in affecting the behavior of households and companies, by causing behavioral change oriented to energy stewardship, and an overall switch to renewable energy resources. This book provides a platform for the exchange of a wide range of ideas, which, ultimately, would facilitate the driving of societies to long-term energy efficiency.
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Business mathematics or pure mathematics?
It ultimately depends on your career goals and interests. Business mathematics focuses on practical applications in business and finance, such as accounting, economics, and statistics. Pure mathematics, on the other hand, delves into theoretical concepts and abstract reasoning, with applications in fields like physics, engineering, and computer science. If you are interested in pursuing a career in business or finance, business mathematics may be more relevant. However, if you are passionate about theoretical concepts and problem-solving, pure mathematics may be a better fit for you.
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What kind of mathematics is relevant for IT security experts?
IT security experts need to have a strong understanding of various areas of mathematics, including cryptography, number theory, and probability theory. Cryptography involves the use of mathematical algorithms to secure and protect data, making it essential for IT security professionals to have a deep understanding of these concepts. Number theory is also important for understanding the mathematical principles behind encryption and decryption methods. Additionally, probability theory is relevant for assessing and managing risks in IT security, such as the likelihood of a cyber attack or the effectiveness of security measures. Overall, a solid foundation in mathematics is crucial for IT security experts to effectively protect and defend against cyber threats.
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What type of mathematics is meant: commercial mathematics or technical mathematics?
The type of mathematics meant in this context is commercial mathematics. Commercial mathematics focuses on practical applications of mathematics in business and finance, such as calculating interest, profit and loss, and managing budgets. It is used in everyday business transactions and financial decision-making. Technical mathematics, on the other hand, is more focused on the theoretical and abstract aspects of mathematics, often used in fields such as engineering, physics, and computer science.
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Which academic subjects involve a lot of mathematics but no technology?
Subjects like pure mathematics, theoretical physics, and certain branches of philosophy often involve a lot of mathematics but minimal or no technology. These disciplines rely on mathematical principles and reasoning to explore abstract concepts and theories without the need for technological tools or applications. The focus is on developing mathematical theories and proofs rather than utilizing technology for practical applications.
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Mathematics and Computation : A Theory Revolutionizing Technology and Science
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophyMathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation.With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges.He explains the ideas and motivations leading to key models, notions, and results.In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences.Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics.He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society.For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields.Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyondHigh-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific disciplineHistorical accounts of the evolution and motivations of central concepts and modelsA broad view of the theory of computation's influence on science, technology, and societyExtensive bibliography
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Foundation Mathematics
This complete entry-level textbook from leading authors gives students the confidence they need to succeed in core mathematics skills in preparation for undergraduate courses in engineering or science, or to build skills to support the mathematical elements of other degree courses.Its unique programmed approach takes students through the mathematics they need in a step-by-step fashion with a wealth of examples and exercises.The text demands that students engage with it by asking them to complete steps that they can manage from previous examples or knowledge they have acquired, while carefully introducing new steps.By working with the authors through the examples, students become proficient as they go.By the time they come to trying examples on their own, confidence is high. The text is aimed at students on Foundation courses in engineering, construction, science and computer science, and for all mathematics courses for students of business studies, psychology, and geography.
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Mathematics I
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Engineering Mathematics
Engineering Mathematics is the unparalleled undergraduate textbook for students of electrical, electronic, communications and systems engineering. Tried and tested over many years, this widely used textbook is now in its 5th edition, having been fully updated and revised. This new edition includes an even greater emphasis on the application of mathematics within a range of engineering contexts. It features detailed explanation of why a technique is important to engineers. In addition, it provides essential guidance in how to use mathematics to solve engineering problems.This approach ensures a deep and practical understanding of the role of mathematics in modern engineering.
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What is the formula for the environment of a point in mathematics?
The formula for the environment of a point in mathematics is typically represented as a set of points that are within a certain distance of the given point. This is often expressed using the distance formula, which calculates the distance between two points in a coordinate system. The environment of a point can also be described using inequalities to define a region around the point. In general, the environment of a point refers to the set of points that are close to or surrounding the given point in a mathematical space.
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Economic mathematics, business informatics, or teaching mathematics?
The choice between economic mathematics, business informatics, or teaching mathematics ultimately depends on your interests and career goals. Economic mathematics combines mathematical techniques with economic theory to analyze and solve complex economic problems. Business informatics focuses on using information technology to improve business processes and decision-making. Teaching mathematics involves educating others on mathematical concepts and skills. Consider your strengths, interests, and long-term career aspirations to make an informed decision on which path to pursue.
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Why mathematics?
Mathematics is a fundamental tool for understanding the world around us. It provides a framework for solving problems, making predictions, and analyzing data. Additionally, mathematics is essential for many fields such as science, engineering, economics, and computer science. It also helps develop critical thinking and problem-solving skills that are valuable in everyday life. Overall, mathematics is important because it helps us make sense of the world and empowers us to make informed decisions.
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Is the mathematics in a mathematics degree the most difficult mathematics there is?
The mathematics in a mathematics degree is certainly challenging, but it may not necessarily be the most difficult mathematics there is. The difficulty of mathematics can vary depending on the specific area of study, the individual's aptitude and background, and the level of abstraction and complexity involved. Advanced topics in pure mathematics, theoretical physics, and certain areas of applied mathematics can be extremely challenging and may surpass the difficulty level of undergraduate mathematics courses. Additionally, the difficulty of mathematics is subjective and can vary from person to person.
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