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Author: Yang-Hui He Publisher: Springer Nature ISBN: 3030775623 Category : Mathematics Languages : en Pages : 214
Book Description
Can artificial intelligence learn mathematics? The question is at the heart of this original monograph bringing together theoretical physics, modern geometry, and data science. The study of Calabi–Yau manifolds lies at an exciting intersection between physics and mathematics. Recently, there has been much activity in applying machine learning to solve otherwise intractable problems, to conjecture new formulae, or to understand the underlying structure of mathematics. In this book, insights from string and quantum field theory are combined with powerful techniques from complex and algebraic geometry, then translated into algorithms with the ultimate aim of deriving new information about Calabi–Yau manifolds. While the motivation comes from mathematical physics, the techniques are purely mathematical and the theme is that of explicit calculations. The reader is guided through the theory and provided with explicit computer code in standard software such as SageMath, Python and Mathematica to gain hands-on experience in applications of artificial intelligence to geometry. Driven by data and written in an informal style, The Calabi–Yau Landscape makes cutting-edge topics in mathematical physics, geometry and machine learning readily accessible to graduate students and beyond. The overriding ambition is to introduce some modern mathematics to the physicist, some modern physics to the mathematician, and machine learning to both.
Author: Yang-Hui He Publisher: Springer Nature ISBN: 3030775623 Category : Mathematics Languages : en Pages : 214
Book Description
Can artificial intelligence learn mathematics? The question is at the heart of this original monograph bringing together theoretical physics, modern geometry, and data science. The study of Calabi–Yau manifolds lies at an exciting intersection between physics and mathematics. Recently, there has been much activity in applying machine learning to solve otherwise intractable problems, to conjecture new formulae, or to understand the underlying structure of mathematics. In this book, insights from string and quantum field theory are combined with powerful techniques from complex and algebraic geometry, then translated into algorithms with the ultimate aim of deriving new information about Calabi–Yau manifolds. While the motivation comes from mathematical physics, the techniques are purely mathematical and the theme is that of explicit calculations. The reader is guided through the theory and provided with explicit computer code in standard software such as SageMath, Python and Mathematica to gain hands-on experience in applications of artificial intelligence to geometry. Driven by data and written in an informal style, The Calabi–Yau Landscape makes cutting-edge topics in mathematical physics, geometry and machine learning readily accessible to graduate students and beyond. The overriding ambition is to introduce some modern mathematics to the physicist, some modern physics to the mathematician, and machine learning to both.
Author: George R. McGhee Publisher: Cambridge University Press ISBN: 1139459953 Category : Science Languages : en Pages : 185
Book Description
The metaphor of the adaptive landscape - that evolution via the process of natural selection can be visualized as a journey across adaptive hills and valleys, mountains and ravines - permeates both evolutionary biology and the philosophy of science. The focus of this 2006 book is to demonstrate to the reader that the adaptive landscape concept can be put into actual analytical practice through the usage of theoretical morphospaces - geometric spaces of both existent and non-existent biological form - and to demonstrate the power of the adaptive landscape concept in understanding the process of evolution. The adaptive landscape concept further allows us to take a spatial approach to the concepts of natural selection, evolutionary constraint and evolutionary development. For that reason, this book relies heavily on spatial graphics to convey the concepts developed within these pages, and less so on formal mathematics.
Author: William M. Ivins Publisher: Courier Corporation ISBN: 0486143589 Category : Art Languages : en Pages : 130
Book Description
This highly stimulating study observes many historical interrelationships between art and mathematics. It explores ancient and Renaissance painting and sculpture, the development of perspective, and advances in projective geometry.
Author: Alan Ritchie Publisher: ISBN: 9780889440159 Category : Geometry, Plane Languages : en Pages :
Book Description
Demonstrates how geometry is put to work in the world outside the classroom in fields such as archaeology and engineering. Explains basic geometric concepts using objects such as a pinball machine and a theodolite.
Author: Christine Dugan Publisher: Teacher Created Materials ISBN: 1433335573 Category : Juvenile Nonfiction Languages : en Pages : 20
Book Description
Understanding geometry is very important when designing a backyard! Designers have to know how to measure the perimeter and area of design spaces. This vibrant title teaches readers about landscape architecture and design while encouraging them to practice their geometric measurements, like perimeter, area, diameter, radius, and angles. With the help of interesting images, easy-to-read text, related practice problems, STEM topics, and clear mathematical diagrams, this title makes geometry fun and simple, allowing readers to use their mathematical skills creatively! This 6-Pack includes six copies of this title and a lesson plan.
Author: Richard G. Starshak Publisher: ISBN: 9781638441762 Category : Gardening Languages : en Pages : 146
Book Description
Designing by mathematics (numbers, order, quantities, and measures) and geometry (points, lines, angles, and shapes) is a totally different approach to create any and all visual design! The combination of these two related, but very different areas, form the foundation of perfect visual design. We will show in detail how to use simple mathematics and geometry to create perfect order, balance, and emphasis in the landscape design!
Author: Charles R. Kolb Publisher: ISBN: Category : Land use Languages : en Pages : 48
Book Description
A ethod of classifying landscape ba ed on relief, slope, slope occurrence, and plan-profile is presented. The interrelation of these parameters in landscape definition, modification in definition due to scale difference, and synthesis of these parameters in a single semiquantitative landscape symbolization are discussed. Landscape geometry classification is limited to terrain exhibiting more than 10 ft of relief. Terrain feat res ex ibiting less than 10 ft of relief are classified as surface roughness or microrelief. T E GOAL HAS BEEN TO DEVELOP AS COMPLETE A LANDSCAPE GEOMETRY DEFINITION AS POSSIBLE WITHIN AS SIMPLE A FRAMEWORK AS POSSIBLE. (Author.
Author: Yang-Hui He
Author: Yang-Hui He
Author: George R. McGhee
Author: Charles R. Kolb
Author: William M. Ivins
Author: Alan Ritchie
Author: Christine Dugan
Author: Dina El-Mogazi
Author: Richard G. Starshak
Author: Charles R. Kolb
Author: Diane Lints