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How should a democracy choose its representatives? How does disease spread? How do computers teach themselves chess, and why is chess easier for them than analyzing a sentence? What should your kids study in school if they really want to learn to think? All of these are questions... about geometry. Jordan Ellenberg reveals the mathematics behind some of the most important scientific, political and philosophical conundrums we face. The word 'geometry', from the Greek, means 'measuring the world'. If anything, geometry doesn't just measure the world - it explains it. Shape shows us how.
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This new book from the author of 'The Music of the Primes' combines a personal insight into the mind of a working mathematician with the story of one of the biggest adventures in mathematics: the search for symmetry.
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The Fractal Models book contains a series of hands-on activities designed to introduce and explore the concept of fractals to students and the interested individual. The companion volume, the Fractal Activity book provides some associated activities.
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From simple to complex - use a compass to draw fascinating artistic images. This book includes step-by-step instructions for all symmetries between threefold and twelvefold. Clear and precise black-and-white illustrations will guide you. The book provides ruler and compass constr...uctions that you can draw without using units of measurement for three-, four-, five-, six-, eight-, ten- and twelvefold symmetries. In addition, it gives dimensions in inches (and cm) for all images, which you can use on both A4 and A3 sheets.
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By DK; Foreword by Parker, Matt
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- RRP: $48.00
- $36.00
- Save $12.00
- In Stock At Publisher
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Discover more than 85 of the most important mathematical ideas, theorems, and proofs ever devised, and the great minds behind them, with this original, graphic-led book. Applying the Big Ideas series' trademark combination of authoritative, accessible text and bold graphics to ch...art the development of maths through history, the book explores and explains subjects that range from ancient mathematical ideas and inventions, such as prehistoric tally bones and Sumerian multiplication tables, through to the developments in mathematics during medieval and Renaissance Europe, to the rise of game and group theory more recently Tracing maths through the scientific revolution to its 21st-century use in computers, the internet, and AI, The Maths Book uses an innovative graphic-led approach to make the subject accessible to everyone.
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David Acheson transports us into the world of geometry, one of the oldest branches of mathematics. He describes its history, from ancient Greece to the present day, and its emphasis on proofs. With its elegant deduction and practical applications, he demonstrates how geometry off...ers the quickest route to the spirit of mathematics at its best.
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How should a democracy choose its representatives? How does Covid-19 spread? How do computers teach themselves chess, and why is chess easier for them than analyzing a sentence? What should your kids study in school if they really want to learn to think? All of these are question...s about geometry. Seriously! Jordan Ellenberg reveals the mathematics behind some of the most important scientific, political and philosophical conundrums we face. The word 'geometry', from the Greek, means 'measuring the world'. If anything, geometry doesn't just measure the world, it explains it. Shape shows us how.
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These lecturers provide a clear introduction to Lie group methods for determining and using symmetries of differential equations, a variety of their applications in gas dynamics and other nonlinear models as well as the author's remarkable contribution to this classical subject. ...It contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant solutions developed by Ovsyannikov provides a powerful tool for solving systems of nonlinear differential equations and investigating complicated mathematical models.
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This book mainly deals with the Bochner - Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner - Riesz means and important achievements attained in the last 50 years. For th...e Bochner - Riesz means of multiple Fourier integral, it includes the Fefferman theorem which negates the Disc multiplier conjecture, the famous Carleson-Sjolin theorem, and Carbery-Rubio de Francia-Vega's work on almost everywhere convergence of the Bochner - Riesz means below the critical index. For the Bochner - Riesz means of multiple Fourier series, it includes the theory and application of a class of function space generated by blocks, which is closely related to almost everywhere convergence of the Bochner - Riesz means. In addition, the book also introduce some research results on approximation of functions by the Bochner - Riesz means.
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This valuable contribution to the study of nature magnificently illustrates and describes the intricate, beautiful, and surprising proportional harmonies found in the world of plants. Although science has explained in great detail the complex chemical and physiological nature of ...plants, it has neglected the study and recognition of how matter is arranged into the shape and pattern of living things. Goethe's organic concept and Rudolf Steiner's imaginative idea of formative forces have inspired the authors in this work, opening the way to a truly scientific understanding of the way in which the living world is formed.In order to describe these principles of form, it was necessary to follow new ideas contained in modern Projective Geometry -- developing a new geometry of living things. Going far beyond the rigidity and static quality of more familiar geometry, one is introduced to a world of moving forms that change constantly: the great variety of living plants.
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