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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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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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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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Thinking about Mathematics : The Philosophy of Mathematics
This unique text by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections.The first describes questions and issues about mathematics that have motivated philosophers almost since the beginning of intellectual history.Part II is an historical survey, discussing the role of mathematics in such thinkers as Plato, Aristotle, Kant, and Mill.The third section covers the three major positions, and battle lines, throughout the twentieth century: that mathematics is logic (logicism), that the essence of mathematics is the rule-governed manipulation of characters (formalism), and a revisionist philosophy that focuses on the mental activity of mathematics (intuitionism).Finally, Part IV looks at contemporary positions and work which brings the reader up-to-date on the discipline.Thinking about Mathematics is accessible to those with little background in either mathematics or philosophy.It is aimed at students and professionals in mathematics who have little contact with academic philosophy and at philosophy students and other philosophers who forgot much of their mathematics.
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How does integration work in mathematics?
Integration in mathematics is a process of finding the integral of a function. It involves finding the area under a curve or the accumulation of quantities over a given interval. Integration is the reverse process of differentiation, and it helps in solving problems related to finding areas, volumes, and other physical quantities. By using integration, we can calculate the total change or total amount of a quantity over a given range.
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What are integration rules in mathematics?
Integration rules in mathematics are a set of formulas and techniques used to find the integral of a function. These rules include the power rule, which states that the integral of x^n is (1/(n+1))x^(n+1), and the constant multiple rule, which allows constants to be factored out of the integral. Other important integration rules include the sum and difference rules, the substitution rule, and the integration by parts rule. These rules are essential for solving definite and indefinite integrals and are fundamental in calculus.
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How does partial integration work in mathematics?
Partial integration, also known as integration by parts, is a technique used in calculus to evaluate the integral of a product of two functions. It is based on the product rule for differentiation and involves choosing one function to differentiate and the other to integrate. By applying the formula for partial integration, the original integral can be transformed into a simpler form that is easier to evaluate. This technique is particularly useful for integrating functions that are the product of two different types of functions, such as polynomials and exponentials.
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How do differentiation and integration work in mathematics?
Differentiation and integration are two fundamental operations in calculus. Differentiation involves finding the rate of change of a function at a specific point, or the slope of the tangent line to the function's graph at that point. Integration, on the other hand, involves finding the accumulation of a quantity over a given interval, or the area under the curve of a function. In essence, differentiation and integration are inverse operations of each other, with differentiation finding the rate of change and integration finding the accumulation. Together, they form the basis of calculus and are used to solve a wide range of mathematical problems in various fields.
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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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Vedic Mathematics
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Construction Mathematics
Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines. Learn by tackling exercises based on real-life construction maths.Examples include: costing calculations, labour costs, cost of materials and setting out of building components. Suitable for beginners and easy to follow throughout. Learn the essential basic theory along with the practical necessities. The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises.End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained. Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in Construction.Additional coverage of the core unit Mathematics in Construction and the Built Environment from BTEC National Construction, Civil Engineering and Building Services courses makes this an essential revision aid for students who do not have Level 2 mathematics experience before commencing their BTEC National studies.This is also the ideal primer for any reader who wishes to refresh their mathematics knowledge before going into a construction HNC or BSc.
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Engineering Mathematics
The best-selling introductory mathematics textbook for students on engineering and science degree and pre-degree courses.Sales stand at more than half a million copies world-wide. Its unique programmed approach really works! Many thousands of students have found that they understand and excel through using this book.It takes you through the mathematics in a step-by-step fashion with a wealth of examples and exercises.The text demands that you engage with it by asking you to complete steps that you should be able to manage from previous examples or knowledge you have acquired, while carefully introducing new steps.By working with the authors through the examples, you become proficient as you go.By the time you come to trying examples on your own, confidence is high. Aimed at undergraduates on Foundation and First Year degree programmes in all Engineering disciplines and Science.The Foundation section covers mathematics from GCSE onwards to allow for revision and gap-filling, and so means the book can be used for a range of abilities and all levels of access. New to this Edition:- A general revision of the entire contents- In Matrices an emphasis on eigenvalues and eigenvectors and the introduction of the Cayley–Hamilton theorem- New review summaries plus a new easy reference to help check back when you need more help- Key chapters improved yet further as a result of detailed student feedbackAccompanying online resources for this title can be found at bloomsburyonlineresources.com/engineering-mathematics.These resources are designed to support teaching and learning when using this textbook and are available at no extra cost.
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What is a question regarding integration in mathematics?
One question regarding integration in mathematics could be: "How can we use integration to find the area under a curve or the total accumulated quantity of a changing quantity over a given interval?" This question relates to the fundamental concept of integration, which involves finding the accumulation of quantities over a continuous range and is a key tool in calculus for solving problems related to area, volume, and other physical quantities.
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Can economic efficiency and productivity develop mutually?
Yes, economic efficiency and productivity can develop mutually. When businesses and industries become more efficient in their operations, they can produce more output with the same amount of input, leading to increased productivity. Similarly, when productivity increases, it can drive economic efficiency by reducing waste and improving resource allocation. Therefore, as businesses and industries focus on improving efficiency and productivity, they can reinforce and support each other's development.
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What is the difference between efficiency and productivity?
Efficiency refers to how well resources are utilized to achieve a specific goal or output, while productivity measures the output or results generated from a specific amount of input or resources. Efficiency focuses on minimizing waste and maximizing output with the resources available, while productivity is a measure of how much output is produced relative to the input used. In essence, efficiency is about doing things right, while productivity is about doing the right things.
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What are the connections between efficiency and productivity?
Efficiency and productivity are closely connected in that efficiency refers to the ability to accomplish a task with minimal waste, effort, or cost, while productivity refers to the rate at which goods or services are produced. When a process or system is efficient, it can lead to increased productivity because it allows for more output to be generated with the same amount of input. Conversely, when productivity is high, it often indicates that the resources and processes are being used efficiently. Therefore, improving efficiency can lead to increased productivity, and vice versa, as they both contribute to the overall effectiveness of a business or organization.
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