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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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Rural Countryside House
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Space 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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How difficult are mathematics and physics in a degree in agriculture?
Mathematics and physics are important components of a degree in agriculture, but the difficulty level can vary depending on the individual's background and comfort with these subjects. Some students may find these courses challenging, especially if they have not studied them extensively before. However, with dedication and practice, most students are able to grasp the necessary concepts and succeed in these courses. Many universities offer support services such as tutoring and study groups to help students navigate these subjects.
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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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'In the countryside or in the village?'
The choice between living in the countryside or in a village depends on personal preferences and lifestyle. Living in the countryside offers a peaceful and serene environment with more space and nature, while village life may provide a sense of community and convenience with amenities nearby. Both options have their own charm and appeal, so it ultimately comes down to individual priorities and what kind of lifestyle one desires.
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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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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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Mathematics I
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Vedic Mathematics
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Discrete Mathematics
Biggs' Discrete Mathematics has been a best-selling textbook since the first and revised editions were published in 1986 and 1990, respectively.This second edition has been developed in response to undergraduate course changes and changes in students' needs.New to this edition are chapters on statements and proof, logical framework, and natural numbers and the integers, in addition to updated chapters from the previous edition.The new chapters are presented at a level suitable for mathematics and computer science students seeking a first approach to this broad and highly relevant topic.Each chapter contains newly developed tailored exercises, and miscellaneous exercises are presented throughout, providing the student with over 1000 individual tailored exercises.This edition is accompanied by a website www.oup.com/mathematics/discretemath containing hints and solutions to all exercises presented in the text, providing an invaluable resource for students and lecturers alike.The book is carefully structured, coherent and comprehensive, and is the ideal text for students seeking a clear introduction to discrete mathematics, graph theory, combinatorics, number theory, coding theory and abstract algebra.
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How can agriculture be converted to organic farming?
Converting agriculture to organic farming involves several key steps. First, farmers need to stop using synthetic pesticides, herbicides, and fertilizers and instead use natural alternatives such as compost, manure, and cover crops. They also need to implement crop rotation and diversify their crops to improve soil health and reduce the risk of pests and diseases. Additionally, they should avoid using genetically modified organisms (GMOs) and focus on preserving biodiversity on their farms. Finally, farmers can seek organic certification from a recognized organization to ensure that their products meet the standards of organic farming.
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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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