Products related to Mathematics:
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Formulations : Architecture, Mathematics, Culture
An investigation of mathematics as it was drawn, encoded, imagined, and interpreted by architects on the eve of digitization in the mid-twentieth century. In Formulations, Andrew Witt examines the visual, methodological, and cultural intersections between architecture and mathematics.The linkages Witt explores involve not the mystic transcendence of numbers invoked throughout architectural history, but rather architecture’s encounters with a range of calculational systems—techniques that architects inventively retooled for design.Witt offers a catalog of mid-twentieth-century practices of mathematical drawing and calculation in design that preceded and anticipated digitization as well as an account of the formal compendia that became a cultural currency shared between modern mathematicians and modern architects. Witt presents a series of extensively illustrated “biographies of method”—episodes that chart the myriad ways in which mathematics, particularly the mathematical notion of modeling and drawing, was spliced into the creative practice of design.These include early drawing machines that mechanized curvature; the incorporation of geometric maquettes—“theorems made flesh”—into the toolbox of design; the virtualization of buildings and landscapes through surveyed triangulation and photogrammetry; formal and functional topology; stereoscopic drawing; the economic implications of cubic matrices; and a strange synthesis of the technological, mineral, and biological: crystallographic design. Trained in both architecture and mathematics, Witt uses mathematics as a lens through which to understand the relationship between architecture and a much broader set of sciences and visual techniques.Through an intercultural exchange with other disciplines, he argues, architecture adapted not only the shapes and surfaces of mathematics but also its values and epistemic ideals.
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Using Mathematics to Understand the World : How Culture Promotes Children's Mathematics
Using Mathematics to Understand the World: How Culture Promotes Children's Mathematics offers fundamental insight into how mathematics permeates our lives as a way of representing and thinking about the world.Internationally renowned experts Terezinha Nunes and Peter Bryant examine research into children’s mathematical development to show why it is important to distinguish between quantities, relations and numbers.Using Mathematics to Understand the World presents a theory about the development of children’s quantitative reasoning and reveals why and how teaching about quantitative reasoning can be used to improve children’s mathematical attainment in school.It describes how learning about the analytical meaning of numbers is established as part of mathematics at school but quantitative reasoning is emphasized less even though it is increasingly acclaimed as essential for thinking mathematically and for using mathematics to understand the world. This essential text is for all students of mathematics education, developmental psychology and cognitive psychology.By including activities for parents and professionals to try themselves, it may help you to recognize your own quantitative reasoning.
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Mathematics in Nature, Space and Time
Mathematics in Nature, Space and Time
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Primary Problem-Solving in Mathematics : Analyse, Try, Explore Bk.A
This title features: super photocopiable series to develop problem solving skills and mathematical thinking in primary pupils; challenging activities that include extension ideas for the more able; activities that develop spatial visualisation, logical reasoning, establishing criteria, interpreting, analysing, organising and using information, strategic thinking and using patterns; extensive background information about problem solving skills; and, teachers notes to accompany copymaster activities, which include mathematical objectives, materials, background information, list of possible difficulties pupils will encounter and extension activities.It provides answers and curriculum links.
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Can one still explore new things in mathematics?
Yes, one can definitely still explore new things in mathematics. Mathematics is a vast and constantly evolving field with many unsolved problems and uncharted territories. As technology advances and new tools become available, mathematicians are able to tackle more complex problems and make new discoveries. Additionally, interdisciplinary collaborations with other fields such as computer science, physics, and biology continue to open up new avenues for exploration in mathematics.
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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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How does the growth of a yeast culture work in mathematics?
The growth of a yeast culture can be modeled mathematically using exponential growth equations. In this model, the rate of growth of the yeast population is directly proportional to the current population size. This results in a curve that starts off slowly but then rapidly increases as the population grows. By analyzing the growth curve, mathematicians can make predictions about the future size of the yeast culture and understand how different factors, such as nutrients or temperature, can affect its growth rate.
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What do you think, why can mathematics describe nature so well?
Mathematics can describe nature so well because it provides a universal language to express and understand the patterns and relationships found in the natural world. The use of mathematical equations and models allows scientists to quantify and predict natural phenomena, from the motion of celestial bodies to the behavior of subatomic particles. Additionally, the abstract nature of mathematics allows for the development of general principles and theories that can be applied across different fields of science, providing a powerful tool for understanding and explaining the complexities of nature.
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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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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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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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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 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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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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Is man a creature of nature or culture, or is culture the nature of man?
Man is a complex being influenced by both nature and culture. While humans are inherently part of the natural world, our behaviors, beliefs, and practices are largely shaped by the societies we live in. Culture can be seen as the nature of man in the sense that it is a fundamental aspect of human existence, shaping our identities and interactions with the world. Ultimately, the relationship between nature and culture is intertwined in shaping the essence of humanity.
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Is man a being of nature or culture, or is culture the nature of man?
Man is a being of both nature and culture. While humans are inherently a part of the natural world, our ability to create and participate in culture sets us apart from other species. Culture shapes our beliefs, behaviors, and interactions with the world, becoming an essential part of our identity. Therefore, culture can be seen as the nature of man, as it influences and defines our existence in profound ways.
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