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  • The Mathematics of Models for Climatology and Environment
    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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  • Sustainability and Global Challenges : Analysis by Mathematics of Uncertainty
    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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  • Thinking about Mathematics : The Philosophy of Mathematics
    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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  • Vedic Mathematics
    Vedic Mathematics


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  • How does circular calculation work in mathematics?

    Circular calculation in mathematics refers to a situation where the value of one variable depends on the value of another variable, and vice versa. This creates a circular relationship between the variables, making it difficult to solve for their exact values using traditional algebraic methods. In such cases, iterative methods or numerical techniques are often used to approximate the values of the variables until a satisfactory solution is reached. Circular calculation is commonly encountered in fields such as physics, engineering, and economics, where multiple variables are interdependent and influence each other's values.

  • Does waste reduction go beyond waste recycling?

    Yes, waste reduction goes beyond waste recycling. While recycling is an important part of waste management, waste reduction focuses on minimizing the amount of waste produced in the first place. This can be achieved through practices such as reducing packaging, reusing items, and implementing more sustainable production processes. By focusing on waste reduction, we can decrease the overall environmental impact of waste and move towards a more circular and sustainable economy.

  • How do you calculate the area of circular segments in mathematics?

    To calculate the area of a circular segment in mathematics, you can use the formula A = (1/2) * r^2 * (θ - sinθ), where A is the area of the segment, r is the radius of the circle, and θ is the central angle of the segment in radians. First, calculate the central angle θ using the given information. Then, plug the values of r and θ into the formula to find the area of the circular segment.

  • What is waste separation and recycling?

    Waste separation is the process of sorting different types of waste materials into separate categories such as paper, plastic, glass, and organic waste. Recycling involves taking these separated materials and processing them to create new products, reducing the amount of waste that ends up in landfills. By separating waste and recycling, we can help conserve natural resources, reduce pollution, and minimize the impact of waste on the environment.

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  • Construction Mathematics
    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
    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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  • Basic Mathematics
    Basic Mathematics

    This is a text in basic mathematics with multiple uses for either high school or college level courses.Readers will get a firm foundation in basic principles of mathematics which are necessary to know in order to go ahead in calculus, linear algebra or other topics.The subject matter is clearly covered and the author develops concepts so the reader can see how one subject matter can relate and grow into another.

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  • Combinatorial Mathematics
    Combinatorial Mathematics

    This long-awaited textbook is the most comprehensive introduction to a broad swath of combinatorial and discrete mathematics.The text covers enumeration, graphs, sets, and methods, and it includes both classical results and more recent developments.Assuming no prior exposure to combinatorics, it explains the basic material for graduate-level students in mathematics and computer science.Optional more advanced material also makes it valuable as a research reference.Suitable for a one-year course or a one-semester introduction, this textbook prepares students to move on to more advanced material.It is organized to emphasize connections among the topics, and facilitate instruction, self-study, and research, with more than 2200 exercises (many accompanied by hints) at various levels of difficulty.Consistent notation and terminology are used throughout, allowing for a discussion of diverse topics in a unified language.The thorough bibliography, containing thousands of citations, makes this a valuable source for students and researchers alike.

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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.

  • How do you calculate the area of a circular sector in mathematics?

    To calculate the area of a circular sector in mathematics, you can use the formula A = (θ/360)πr^2, where A is the area of the sector, θ is the central angle of the sector in degrees, and r is the radius of the circle. First, convert the central angle from degrees to radians by multiplying it by π/180. Then, plug the values of the central angle and radius into the formula to find the area of the sector.

  • 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.

  • What is the difference between a pyramid and a circular cone in mathematics?

    In mathematics, a pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex, while a circular cone is a three-dimensional geometric shape with a circular base and a curved surface that tapers to a point called the apex. The main difference between the two is the shape of their bases - a pyramid has a polygonal base, while a circular cone has a circular base. Additionally, the faces of a pyramid are flat triangles, while the surface of a circular cone is curved.

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