Products related to Mathematics:
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Tessellations : Mathematics, Art, and Recreation
Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists.Additionally, it covers techniques, tips, and templates to facilitate the creation of mathematical art based on tessellations.Inclusion of special topics like spiral tilings and tessellation metamorphoses allows the reader to explore beautiful and entertaining math and art. The book has a particular focus on ‘Escheresque’ designs, in which the individual tiles are recognizable real-world motifs.These are extremely popular with students and math hobbyists but are typically very challenging to execute.Techniques demonstrated in the book are aimed at making these designs more achievable.Going beyond planar designs, the book contains numerous nets of polyhedra and templates for applying Escheresque designs to them.Activities and worksheets are spread throughout the book, and examples of real-world tessellations are also provided. Key features Introduces the mathematics of tessellations, including symmetry Covers polygonal, aperiodic, and non-Euclidean tilings Contains tutorial content on designing and drawing Escheresque tessellations Highlights numerous examples of tessellations in the real world Activities for individuals or classes Filled with templates to aid in creating Escheresque tessellations Treats special topics like tiling rosettes, fractal tessellations, and decoration of tiles
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Proof and the Art of Mathematics
This book offers an introduction to the art and craft of proof-writing.The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs.These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis.The goal is to show students and aspiring mathematicians how to write proofs with elegance and precision.
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Mathematics and Art : A Cultural History
This is a cultural history of mathematics and art, from antiquity to the present.Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone.Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists.Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics.Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Godel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art.Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoit Mandelbrot to Max Bill and Xu Bing.Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
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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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How can I upgrade my home with smart home technology afterwards?
To upgrade your home with smart home technology, you can start by identifying the areas where you want to implement smart features, such as lighting, security, or entertainment. Research and choose the appropriate smart devices and systems that align with your needs and budget. Install smart thermostats, smart locks, smart lighting, and other devices to enhance the functionality and convenience of your home. Finally, consider integrating a central smart home hub to control and manage all the smart devices from one platform.
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Which brand of smart home technology is being used?
The brand of smart home technology being used is Google Nest. This brand offers a range of smart home devices such as thermostats, cameras, doorbells, and speakers that can be controlled through a central hub or smartphone app. Google Nest products are known for their integration with other smart home devices and their user-friendly interface.
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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 can you control roller shutters with smart home technology?
You can control roller shutters with smart home technology by installing a compatible smart home hub or controller that is capable of connecting to and controlling roller shutter motors. Once the hub is set up, you can use a smartphone app or voice commands to open, close, or adjust the position of the roller shutters. Additionally, you can schedule specific times for the shutters to open or close automatically, or integrate them into scenes or routines with other smart home devices for seamless control.
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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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Cambridge International AS & A Level Mathematics Pure Mathematics 1 Worked Solutions Manual with Digital Access
Written by an experienced author and teacher, this print book with Cambridge Elevate edition provides fully-worked solutions for exercises contained within the Cambridge International AS & A Level Mathematics Pure Mathematics 1 Coursebook.This manual is designed to help save you time with over 1,000 readily-available solutions.We provide a selection of solutions to the questions in the coursebook to enable the learners to develop as confident, independent thinkers.The solutions to our practice exam-style paper, end-of-chapter review exercises and cross-topic review exercises can be found on the digital part of the resource.
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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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Vedic Mathematics
Price: 12.99 £ | Shipping*: 3.99 £
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Is digital art real art?
Yes, digital art is real art. Just like traditional art forms, digital art requires skill, creativity, and vision to create. Artists use digital tools and software to express their ideas and emotions, and the resulting artwork can be just as impactful and meaningful as any other form of art. The digital medium allows for new possibilities and techniques that can produce stunning and thought-provoking pieces. Ultimately, the value of art lies in its ability to evoke emotions, provoke thoughts, and communicate messages, regardless of the medium used.
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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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Which academic subjects involve a lot of mathematics but no technology?
Subjects like pure mathematics, theoretical physics, and certain branches of philosophy often involve a lot of mathematics but minimal or no technology. These disciplines rely on mathematical principles and reasoning to explore abstract concepts and theories without the need for technological tools or applications. The focus is on developing mathematical theories and proofs rather than utilizing technology for practical applications.
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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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