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Books on the topic 'Geometric surface area'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 January 2023

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1

Designer digs: Finding area and surface area. Norwood House Press, 2013.

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2

Sal'kov, Nikolay. Descriptive geometry: Designing surfaces. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1196545.

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In the textbook, in addition to the geometric design of surfaces, the elements of analytical and parametric geometries are proposed that contribute to the design and bring the result to a higher level of knowledge, as well as a frame method for designing surfaces. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of the specialties "Architect" and " Designer of the architectural environment "(qualifications "bachelor", "specialist", "master"). It may be useful for students of other fields of study.

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3

Pati, Umesh Chandra. 3-D surface geometry and reconstruction: Developing concepts and applications. Information Science Reference, 2012.

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4

Evans, Emyr Ceredig. Arwynebedd. Canolfan Astudiaethau Addysg, 1995.

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5

Izumiya, Shyuichi. Differential geometry from singularity theory viewpoint. World Scientific, 2015.

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6

Zhukova, Galina, and Margarita Rushaylo. Mathematical analysis in examples and tasks. Part 2. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072162.

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The purpose of the textbook is to help students to master basic concepts and research methods used in mathematical analysis. In part 2 of the proposed cycle of workshops on the following topics: analytic geometry in space; differential calculus of functions of several variables; local, conditional, global extrema of functions of several variables; multiple, curvilinear and surface integrals; elements of field theory; numerical, power series, Fourier series; applications to the analysis and solution of applied problems. These topics are studied in universities, usually in the second semester in

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7

Li, Weiping, and Shihshu Walter Wei. Geometry and topology of submanifolds and currents: 2013 Midwest Geometry Conference, October 19, 2013, Oklahoma State University, Stillwater, Oklahoma : 2012 Midwest Geometry Conference, May 12-13, 2012, University of Oklahoma, Norman, Oklahoma. American Mathematical Society, 2015.

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8

Spectral theory and geometric analysis: An international conference in honor of Mikhail Shubin's 65th birthday, July 29 - August 2, 2009, Northeastern University, Boston, Massachusetts. American Mathematical Society, 2010.

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9

Surface area & volume: With geometric solids (Middle school mini units). Creative Publications, 1996.

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10

Tretkoff, Paula. Algebraic Surfaces and the Miyaoka-Yau Inequality. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0005.

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This chapter discusses complex algebraic surfaces, with particular emphasis on the Miyaoka-Yau inequality and the rough classification of surfaces. Every complex algebraic surface is birationally equivalent to a smooth surface containing no exceptional curves. The latter is known as a minimal surface. Two related birational invariants, the plurigenus and the Kodaira dimension, play an important role in distinguishing between complex surfaces. The chapter first provides an overview of the rough classification of (smooth complex connected compact algebraic) surfaces before presenting two approac

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11

Huybrechts, D. K3 Surfaces. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0010.

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After abelian varieties, K3 surfaces are the second most interesting special class of varieties. These have a rich internal geometry and a highly interesting moduli theory. Paralleling the famous Torelli theorem, results from Mukai and Orlov show that two K3 surfaces have equivalent derived categories precisely when their cohomologies are isomorphic weighing two Hodge structures. Their techniques also give an almost complete description of the cohomological action of the group of autoequivalences of the derived category of a K3 surface. The basic definitions and fundamental facts from K3 surfa

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12

Spehar, Branka, and Colin W. G. Clifford. The Wedding Cake Illusion. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0059.

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Lightness induction is the shift in surface appearance caused by adjacent or nearby surfaces. Spatial context can make a surface appear more different from (contrast) or more similar to (assimilation) its surround. Although assimilation effects tend to occur with more complex contexts, often containing repetitive patterns, we are still generally unable to ascertain the circumstances in which assimilation or contrast will occur. This chapter explores the interaction of geometric and photometric characteristics leading to contrast and assimilation in lightness induction. Concepts covered include

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13

Huybrechts, D. Fourier-Mukai Transforms in Algebraic Geometry. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.001.0001.

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This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety. The derived category is a subtle invariant of the isomorphism type of a variety, and its group of autoequivalences often shows a rich structure. As it turns out — and this feature is pursued throughout the book — the behaviour of the derived category is determined by the geometric properties of the canonical bundle of

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14

Farb, Benson, and Dan Margalit. A Primer on Mapping Class Groups (PMS-49). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.001.0001.

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The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. It begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn–Nielsen–Baer–theorem. Along the way, central

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15

Create a Quilt: Understand Concepts of Area. Rosen Classroom, 2014.

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16

(Editor), Karen Mayfield-Ingram, and Bob Whitlow (Editor), eds. Flea-Sized Surgeons: A Middle-School Mathematics Unit Focusing On Surface Area, Volume, And Scale. University of California, Berkeley, Lawrence, 1994.

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17

Mowing for Money: Relate Area to Multiplication and to Addition. Rosen Classroom, 2014.

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18

Mowing for Money: Relate Area to Multiplication and to Addition. PowerKids Press, 2014.

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19

Hudson, Finn. Mowing for Money: Relate Area to Multiplication and to Addition. Rosen Publishing Group, 2014.

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20

Science, Lawrence Hall of, ed. Equals investigations, flea-sized surgeons: A middle-school mathematics unit focusing on surface area, volume, and scale. University of California at Berkeley, 1994.

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21

Farb, Benson, and Dan Margalit. Dehn Twists. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0004.

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This chapter deals with Dehn twists, the simplest infinite-order elements of Mod(S). It first defines Dehn twists and proves that they are nontrivial elements of the mapping class group. In particular, it considers the action of Dehn twists on simple closed curves. As one application of this study, the chapter proves that if two simple closed curves in Sɡ have geometric intersection number greater than 1, then the associated Dehn twists generate a free group of rank 2 in Mod(S). It also proves some fundamental facts about Dehn twists and describes the center of the mapping class group, along w

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22

Palmer, Stephen E., and Karen B. Schloss. The Occlusion, Configural Shape, and Shrinkage Illusions. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0029.

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A suite of three related visual illusions of size and shape are described—the occlusion illusion (OI), configural shape illusion (CSI), and shrinkage illusion (SI)—along with the relations among them. All can be produced by simple geometric arrangements of two overlapping rectangular surfaces. They differ in the direction of their effects, however, with the OI and CSI making regions appear larger and the SI making them appear smaller. Evidence is also described suggesting that different mechanisms underlie them, with the OI caused by partial modal filling-in along an occluding edge and the CSI

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23

Earl, Richard. Topology: A Very Short Introduction. Oxford University Press, 2019. http://dx.doi.org/10.1093/actrade/9780198832683.001.0001.

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Topology, the mathematical study of the properties that are preserved through the deformations, twistings, and stretchings of objects, is an important area of modern mathematics. Topology: A Very Short Introduction provides a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, it pays homage to the historical people, problems, and surprises that have propelled the growth of this field. As broad and fundamental a

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24

Durgin, Frank H., and Zhi Li. Why Do Hills Look So Steep? Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0016.

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This chapter discusses the visual perception of hills. Hills look much steeper than they are. This chapter reviews current knowledge of the phenomenology of slant perception in relation to both functionalist and mechanistic accounts of this perceptual bias. Recent discoveries suggest that this misperception of the geometry of our environment may be related to useful biological information coding strategies with respect to not only slant but also other angular variables relevant to the biological measurement of surface layout. Even in the absence of hills, people misperceive the angular declina

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25

Rickard, David. Framboids. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780190080112.001.0001.

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Framboids may be the most astonishing and abundant natural features you have never heard of. These microscopic spherules of golden pyrite consist of thousands of even smaller microcrystals, often arranged in stunning geometric arrays. There are probably 10<sup>30</sup> on Earth, and they are forming at a rate of 10<sup>20</sup> every second. This means that there are a billion times more framboids than sand grains on Earth, and a million times more framboids than stars in the observable universe. They are all around us: they can be found in rocks of all ages and in present-day sediments, soils

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26

Peters, S. T., ed. Composite Filament Winding. ASM International, 2011. http://dx.doi.org/10.31399/asm.tb.cfw.9781627083386.

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Composite Filament Winding describes the engineering involved in the design and construction of filament-wound products and the processes and equipment by which they are made. It covers everything from the geometry, physics, and math of winding theory to best practices for handling fibers and resins. It explains how constituent materials and winding patterns influence production quality and costs, how to estimate variables such as laminate thickness and roving dimensions, and how to express fiber trajectories on curved surfaces using vector calculus and intuitive observations. It discusses the

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27

Huybrechts, D. Where to Go from Here. Oxford University Press, 2007. http://dx.doi.org/10.1093/acprof:oso/9780199296866.003.0013.

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This chapter gives pointers for more advanced topics, which require prerequisites that are beyond standard introductions to algebraic geometry. The Mckay correspondence relates the equivariant-derived category of a variety endowed with the action of a finite group and the derived category of a crepant resolution of the quotient. This chapter gives the results from Bridgeland, King, and Reid for a special crepant resolution provided by Hilbert schemes and of Bezrukavnikov and Kaledin for symplectic vector spaces. A brief discussion of Kontsevich's homological mirror symmetry is included, as wel

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28

Lutsenko, V. I., I. V. Lutsenko, D. O. Popov, and I. V. Popov. Remote sensing of the environment using the radiation of existing ground and space radio systems. PH “Akademperiodyka”, 2020. http://dx.doi.org/10.15407/akademperiodyka.429.345.

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Possibilities of using existing ground (TV centers, broadcasting stations) and space (global navigation satellite systems) radio systems for solving the problem of remote sensing and monitoring of the environment and objects in it are considered. The methods of diagnostics of the troposphere, description of the refractive index with the use of semi-Markov processes and atomic functions of Kravchenko-Rvacheva are proposed. The seasonal and altitudinal dependencies of radio-meteorological parameters and radio-climatic features of Ukraine were studied. Technologies for determining the effective g

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29

Tretkoff, Paula, and Hans-Christoph Im Hof. Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.001.0001.

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This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. It emphasizes those finite coverings that are free quotients of the complex 2-ball. The book also includes a background on the classical Gauss hypergeometric function of one variable, and a chapter on the Appell two-variable F1 hypergeometric function. The book began as a set of lecture notes, taken by the author, of a course given by Friedrich Hirzebruch at ETH Zürich in 1996. The lecture notes were then considerably expanded over a number

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30

Rigo, Fausto, Covadonga Fernández-Golfín, and Bruno Pinamonti. Dilated cardiomyopathy. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780198726012.003.0043.

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Dilated cardiomyopathy (DCM) is characterized by a globally dilated and dysfunctioning left ventricle (LV). Therefore, echocardiographic diagnostic criteria for DCM are a LV end-diastolic diameter greater than 117% predicted value corrected for age and body surface area and a LV ejection fraction less than 45% (and/or fractional shortening less than 25%). Usually, the LV is also characterized by a normal or mildly increased wall thickness with eccentric hypertrophy and increased mass, a spherical geometry (the so-called LV remodelling), a dyssynchronous contraction (typically with left bundle

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31

Jones, Jack, and Larry K. Britt. Design and Appraisal of Hydraulic Fractures. Society of Petroleum EngineersRichardson, Texas, USA, 2009. http://dx.doi.org/10.2118/9781555631437.

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Using an interdisciplinary approach, Design and Appraisal of Hydraulic Fractures offers a basic yet comprehensive introduction to the completion and reservoir engineering aspects of hydraulic fracture stimulation. The book is divided into three sections. Section 1 covers the design and placement of a hydraulic fracture stimulation; topics include the basics of the hydraulic fracturing process, stress issues, fracture geometry, controls on generated length and width, fluid and proppant selection, quality control, and quality assurance. Section 2 introduces the use of dynamic data to characteriz

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32

Zydroń, Tymoteusz. Wpływ systemów korzeniowych wybranych gatunków drzew na przyrost wytrzymałości gruntu na ścinanie. Publishing House of the University of Agriculture in Krakow, 2019. http://dx.doi.org/10.15576/978-83-66602-46-5.

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The aim of the paper was to determine the influence of root systems of chosen tree species found in the Polish Flysch Carpathians on the increase of soil shear strength (root cohesion) in terms of slope stability. The paper's goal was achieved through comprehensive tests on root systems of eight relatively common in the Polish Flysch Carpathians tree species. The tests that were carried out included field work, laboratory work and analytical calculations. As part of the field work, the root area ratio (A IA) of the roots was determined using the method of profiling the walls of the trench at a

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