Tag: Geometry

July 9, 2023

Control of Variable-Geometry Vehicle Suspensions

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Free Download Control of Variable-Geometry Vehicle Suspensions: Design and Analysis
English | 2023 | ISBN: 3031305361 | 176 Pages | PDF EPUB (True) | 42 MB
This book provides a thorough and fresh treatment of the control of innovative variable-geometry vehicle suspension systems. A deep survey on the topic, which covers the varying types of existing variable-geometry suspension solutions, introduces the study. The book discusses three important aspects of the subject:

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July 7, 2023

The Shape of Data Geometry-Based Machine Learning and Data Analysis in R

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Free Download The Shape of Data: Geometry-Based Machine Learning and Data Analysis in R
English | 2023 | ISBN: 1718503083 | 258 Pages | PDF | 6 MB
Whether you’re a mathematician, seasoned data scientist, or marketing professional, you’ll find The Shape of Data to be the perfect introduction to the critical interplay between the geometry of data structures and machine learning.

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July 5, 2023

Mechanics and Geometry of Enriched Continua

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English | 2023 | ISBN: 3031289331 | 228 Pages | PDF EPUB (True) | 31 MB
This monograph presents a comprehensive and rigorous new framework for the theoretical description and modelling of enriched continua. In other words, continua that exhibit more complex behaviour than their conventional counterparts and, in particular, multicomponent systems.

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June 29, 2023

The Origin of Geometry in India

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Free Download Ramkrishna Bhattacharya, "The Origin of Geometry in India"
English | ISBN: 1527530949 | 2019 | 170 pages | PDF | 4 MB
This book is the first complete study of the origin of geometry in India. In Ancient India, brick-built fire-altars (citi-s) were ordained for the Soma sacrifice, a Vedic rite, which led to the compilation of rule-books for making and arranging bricks. These volumes, called ulbastra-s, represent the first available texts of both geometry and mensuration, and were composed from 600 BCE, although the actual practice goes back to c. 1500 BCE. This book begins by detailing the history of geometry in Egypt, Mesopotamia, and Greece, and shows that geometry everywhere starts with brick-built structures, rather than the measurement of land. It emphasizes that geometry in India, unlike in Greece, was side-based rather than angle-based. Furthermore, the text is profusely illustrated.

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June 26, 2023

The Geometry of Cubic Hypersurfaces

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Free Download The Geometry of Cubic Hypersurfaces
English | 2023 | ISBN: 1009280007 | 461 Pages | PDF | 3 MB
Cubic hypersurfaces are described by almost the simplest possible polynomial equations, yet their behaviour is rich enough to demonstrate many of the central challenges in algebraic geometry. With exercises and detailed references to the wider literature, this thorough text introduces cubic hypersurfaces and all the techniques needed to study them. The book starts by laying the foundations for the study of cubic hypersurfaces and of many other algebraic varieties, covering cohomology and Hodge theory of hypersurfaces, moduli spaces of those and Fano varieties of linear subspaces contained in hypersurfaces. The next three chapters examine the general machinery applied to cubic hypersurfaces of dimension two, three, and four. Finally, the author looks at cubic hypersurfaces from a categorical point of view and describes motivic features. Based on the author’s lecture courses, this is an ideal text for graduate students as well as an invaluable reference for researchers in algebraic geometry.

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June 26, 2023

Topology and Geometry of Intersections of Ellipsoids in R

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Free Download Topology and Geometry of Intersections of Ellipsoids in R
English | 2023 | ISBN: 3031283635 | 277 Pages | PDF (True) | 5 MB
This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it also contains new results.

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