Products related to Geometry:
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Differential Geometry and Its Visualization
Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers.It can also be used as a supplementary reference for research in mathematics and the natural and engineering sciences. Differential geometry is the study of geometric objects and their properties using the methods of mathematical analysis.The classical theory of curves and surfaces in three-dimensional Euclidean space is presented in the first three chapters.The abstract and modern topics of tensor algebra, Riemannian spaces and tensor analysis are studied in the last two chapters.A great number of illustrating examples, visualizations and genuine figures created by the authors’ own software are included to support the understanding of the presented concepts and results, and to develop an adequate perception of the shapes of geometric objects, their properties and the relations between them. FeaturesExtensive, full colour visualisationsNumerous exercisesSelf-contained and comprehensive treatment of the topic
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Geometry : Geometry
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From Geometry to Behavior : An Introduction to Spatial Cognition
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Math For Security : From Graphs and Geometry to Spatial Analysis
Applied Math for Security is one of the first math-based guides specifically geared for information security practitioners.Readers will learn how to use concepts from various fields of mathematics - like graph theory, computational geometry, and statistics - to create and implement ready-to-use security tools.The book is written in a lively, conversational style that engages readers from the get-go.Chapters are enriched with code examples written in Python, and feature hands-on 'proof of concept' projects that involve developing math-based applications to solve real-world problems.Readers are also able to apply the mathematical constructs that they learn to a variety of challenging scenarios, like determining the ideal location for fire stations, disrupting information flow in a social network, building facial recognition software, and designing custom tools for modern security work.
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Geometry
This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students.These books cover the basics of mathematics in a clear and simple format – the style Gelfand was known for internationally.Gelfand prepared these materials so as to be suitable for independent studies, thus allowing students to learn and practice the material at their own pace without a class. Geometry takes a different approach to presenting basic geometry for high-school students and others new to the subject. Rather than following the traditional axiomatic method that emphasizes formulae and logical deduction, it focuses on geometric constructions.Illustrations and problems are abundant throughout, and readers are encouraged to draw figures and “move” them in the plane, allowing them to develop and enhance their geometrical vision, imagination, and creativity.Chapters are structured so that only certain operations and the instruments to perform these operations are available for drawing objects and figures on the plane.This structure corresponds to presenting, sequentially, projective, affine, symplectic, and Euclidean geometries, all the while ensuring students have the necessary tools to follow along. Geometry is suitable for a large audience, which includes not only high school geometry students, but also teachers and anyone else interested in improving their geometrical vision and intuition, skills useful in many professions.Similarly, experienced mathematicians can appreciate the book’s unique way of presenting plane geometry in a simple form while adhering to its depth and rigor. “Gelfand was a great mathematician and also a great teacher.The book provides an atypical view of geometry. Gelfand gets to the intuitive core of geometry, to the phenomena of shapes and how they move in the plane, leadingus to a better understanding of what coordinate geometry and axiomatic geometry seek to describe.” - Mark Saul, PhD, Executive Director, Julia Robinson Mathematics Festival“The subject matter is presented as intuitive, interesting and fun. No previous knowledge of the subject is required. Starting from the simplest concepts and by inculcating in the reader the use of visualization skills, [and] after reading the explanations and working through the examples, you will be able to confidently tackle the interesting problems posed. I highly recommend the book to any person interested in this fascinating branch of mathematics.” - Ricardo Gorrin, a student of the Extended Gelfand Correspondence Program in Mathematics (EGCPM)
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Differential Geometry
This book combines the classical and contemporary approaches to differential geometry.An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces.The chapter on the differential geometry of plane curves considers local and global properties of curves, evolutes and involutes, and affine and projective differential geometry.Various approaches to Gaussian curvature for surfaces are discussed.The curvature tensor, conjugate points, and the Laplace-Beltrami operator are first considered in detail for two-dimensional surfaces, which facilitates studying them in the many-dimensional case.A separate chapter is devoted to the differential geometry of Lie groups.
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Differential Geometry
This textbook provides a concise introduction to the differential geometry of curves and surfaces in three-dimensional space, tailored for undergraduate students with a solid foundation in mathematical analysis and linear algebra. The book emphasizes the geometric content of the subject, aiming to quickly cover fundamental topics such as the isoperimetric inequality and the Gauss–Bonnet theorem.This approach allows the author to extend beyond the typical content of introductory books and include additional important geometric results, such as curves and surfaces of constant width, the classification of complete surfaces of non-negative constant curvature, and Hadamard's theorem on surfaces of non-positive curvature.This range of topics offers greater variety for an introductory course.
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MathsTraks: Geometry
Tarquin has a traditional of providing high quality mathematical worksheets which produce real results.The Mathstraks series is a tried and tested series for Years 7 and 8, developed by an experienced and talented mathematics teacher.Clear, well presented and with excellent teacher's notes, they will save time and produce results.There are three books in the series, organized by topic: Algebra, Number and Geometry.Sheets in this MathsTracks: Geometry volume include: - Angle tangle- Properties of quadrilaterals- Polygon properties- Quad squad- Bearing codes- Measure for treasure- Area puzzles- Cubes and cuboids- Prism patterns- Co-ordinates and reflections-Transformations Part of the essential series of Tarquin worksheet titles, this book will be a must-by for teachers or their departments - and also an excellent focus for parents who want to work with children on particular topics of concern to them.See also: Mathstraks: Algebra Mathstraks: Number
Price: 9.95 £ | Shipping*: 3.99 £
Similar search terms for Geometry:
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What are vectors in spatial geometry?
Vectors in spatial geometry are quantities that have both magnitude and direction. They are represented by arrows in space, with the length of the arrow representing the magnitude of the vector and the direction of the arrow indicating the direction of the vector. Vectors can be used to represent physical quantities such as force, velocity, and displacement in three-dimensional space. In spatial geometry, vectors can be added, subtracted, and multiplied by scalars to perform various operations and calculations.
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What is the spatial geometry of CO2?
The spatial geometry of CO2 is linear. This means that the carbon atom is located in the center with two oxygen atoms on either side, forming a straight line. The bond angles between the carbon and oxygen atoms are 180 degrees, resulting in a linear molecular shape. This geometry is due to the arrangement of the atoms and the repulsion between the electron pairs in the molecule.
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Do you need knowledge of trigonometry for spatial geometry?
Yes, knowledge of trigonometry is important for understanding spatial geometry. Trigonometry deals with the relationships between the angles and sides of triangles, which is essential for understanding the properties of shapes and figures in spatial geometry. Concepts such as sine, cosine, and tangent are frequently used to calculate angles, distances, and areas in spatial geometry problems. Therefore, a solid understanding of trigonometry is beneficial for mastering spatial geometry.
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What is spatial visualization ability?
Spatial visualization ability refers to the capacity to mentally manipulate and comprehend spatial relationships between objects. Individuals with strong spatial visualization skills can easily visualize and understand how objects relate to each other in space, such as rotating or manipulating shapes in their mind. This ability is crucial in various fields such as engineering, architecture, and mathematics, as it allows individuals to solve complex problems and understand spatial concepts more effectively. Improving spatial visualization ability can enhance problem-solving skills and overall cognitive performance.
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Can you help me with solid geometry and geometry?
Yes, I can help you with solid geometry and geometry. I can explain concepts, provide examples, and help you solve problems related to these topics. Whether you need assistance with understanding the properties of 3D shapes or the principles of geometric theorems, I am here to support you in your learning. Feel free to ask me any specific questions you have, and I will do my best to assist you.
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What is geometry?
Geometry is a branch of mathematics that deals with the study of shapes, sizes, relative positions of figures, and properties of space. It involves the study of points, lines, angles, surfaces, and solids. Geometry is used to solve problems related to measurements, design, and spatial reasoning. It plays a crucial role in various fields such as architecture, engineering, art, and physics.
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Is spatial visualization important for engineers?
Yes, spatial visualization is important for engineers as it allows them to mentally manipulate and understand complex 3D objects and structures. Engineers often need to design and analyze various components and systems, and spatial visualization skills help them to conceptualize and communicate their ideas effectively. Whether it's designing a new product, creating blueprints for a building, or solving complex problems, spatial visualization is a crucial skill that allows engineers to think critically and innovate in their field.
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Can one improve their spatial visualization skills?
Yes, it is possible to improve spatial visualization skills through practice and training. Engaging in activities such as puzzles, building models, and playing spatial reasoning games can help develop these skills. Additionally, practicing mental rotation exercises and regularly challenging oneself with spatial tasks can also contribute to improvement. With consistent effort and dedication, individuals can enhance their spatial visualization abilities over time.
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