Products related to Mathematics:
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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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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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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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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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What is a turning point in mathematics?
A turning point in mathematics refers to a critical moment or discovery that significantly changes the direction or understanding of a particular mathematical concept or field. It can be a breakthrough in a theorem, a new method of solving a problem, or the development of a new branch of mathematics. Turning points often lead to advancements in technology, science, and other fields, and they can have a profound impact on the way we understand and apply mathematical principles.
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What is a foot point in mathematics?
In mathematics, a foot point is the point where a perpendicular line drawn from a given point intersects a specified line or plane. It is the point on the line or plane that is closest to the given point. Foot points are commonly used in geometry and trigonometry to calculate distances and angles. They help in determining the shortest distance between a point and a line or plane.
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What is the turning point in mathematics?
The turning point in mathematics is often considered to be the development of calculus by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century. This revolutionary branch of mathematics provided a systematic way to understand and analyze change, leading to significant advancements in physics, engineering, and many other fields. Calculus laid the foundation for modern mathematics and its applications, marking a pivotal moment in the history of the discipline.
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What is the inflection point in mathematics?
In mathematics, an inflection point is a point on a curve where the curvature changes direction. This means that the curve changes from being concave upwards to concave downwards, or vice versa. At an inflection point, the second derivative of the function is zero, but the function may not necessarily have a maximum or minimum at that point. Inflection points are important in the study of functions and curves, as they indicate a change in the behavior of the function.
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Mathematics I
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Space 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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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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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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Is the saddle point the same as the inflection point in mathematics?
No, a saddle point and an inflection point are not the same in mathematics. A saddle point is a point on a surface where the curvature is in one direction along one axis and in the opposite direction along another axis, resembling the shape of a saddle. An inflection point, on the other hand, is a point on a curve where the concavity changes, indicating a change in the direction of the curve. While both points involve changes in curvature, they occur in different contexts and have distinct characteristics in mathematics.
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What grade point average is required to study mathematics?
The grade point average required to study mathematics can vary depending on the institution and the specific program. In general, most universities and colleges require a minimum GPA of 2.0 to 3.0 for admission into a mathematics program. However, some more competitive programs or institutions may require a higher GPA, such as 3.5 or above. It is important to research the specific GPA requirements for the mathematics program at the institution you are interested in applying to.
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What is the rule "point before line" in mathematics?
The "point before line" rule in mathematics refers to the concept that a point is the most basic geometric element, and a line is formed by an infinite number of points. This rule emphasizes the idea that a line is composed of an infinite number of points, and therefore, points are fundamental to the existence of a line. In geometric constructions, this rule is important because it dictates that a line can only be drawn through two points, and not just arbitrarily placed on a plane.
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