{"product_id":"geometry-of-surfaces-9781118520314","title":"Geometry of Surfaces","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003ePresents an in-depth analysis of geometry of part surfaces and provides the tools for solving complex engineering problems     Geometry of Surfaces: A Practical Guide for Mechanical Engineers is a comprehensive guide to applied geometry of surfaces with focus on practical applications in various areas of mechanical engineering.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author xiii\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePreface xv\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAcknowledgments xvii\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eGlossary xix\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eNotation xxi\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIntroduction xxv\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart I PART SURFACES 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Geometry of a Part Surface 3\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 On the Analytical Description of Ideal Surfaces 3\u003c\/p\u003e \u003cp\u003e1.2 On the Difference between \u003ci\u003eClassical Differential Geometry\u003c\/i\u003e and \u003ci\u003eEngineering Geometry of Surfaces\u003c\/i\u003e 6\u003c\/p\u003e \u003cp\u003e1.3 On the Analytical Description of Part Surfaces 7\u003c\/p\u003e \u003cp\u003e1.4 Boundary Surfaces for an Actual Part Surface 9\u003c\/p\u003e \u003cp\u003e1.5 Natural Representation of a Desired Part Surface 11\u003c\/p\u003e \u003cp\u003e1.6 Elements of Local Geometry of a Desired Part Surface 19\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 On the Possibility of Classification of Part Surfaces 27\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Sculptured Part Surfaces 27\u003c\/p\u003e \u003cp\u003e2.2 Planar Characteristic Images 33\u003c\/p\u003e \u003cp\u003e2.3 Circular Diagrams at a Surface Point 42\u003c\/p\u003e \u003cp\u003e2.4 One More Useful Characteristic Curve 53\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart II GEOMETRY OF CONTACT OF PART SURFACES 55\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Early Works in the Field of Contact Geometry 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Order of Contact 57\u003c\/p\u003e \u003cp\u003e3.2 Contact Geometry of Part Surfaces 59\u003c\/p\u003e \u003cp\u003e3.3 Local Relative Orientation of the Contacting Part Surfaces 59\u003c\/p\u003e \u003cp\u003e3.4 First-Order Analysis: Common Tangent Plane 64\u003c\/p\u003e \u003cp\u003e3.5 Second-Order Analysis 65\u003c\/p\u003e \u003cp\u003e3.6 A Characteristic Curve Ir\u003ci\u003ek\u003c\/i\u003e (\u003ci\u003eR\u003c\/i\u003e ) of Novel Kind 75\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 An Analytical Method Based on Second Fundamental Forms of the Contacting Part Surfaces 79\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Indicatrix of Conformity of Two Smooth Regular Surfaces in the First Order of Tangency 83\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Preliminary Remarks 83\u003c\/p\u003e \u003cp\u003e5.2 Indicatrix of Conformity for Two Smooth Regular Part Surfaces in the First Order of Tangency 87\u003c\/p\u003e \u003cp\u003e5.3 Directions of Extremum Degree of Conformity of Two Part Surfaces in Contact 94\u003c\/p\u003e \u003cp\u003e5.4 Asymptotes of the Indicatrix of Conformity \u003ci\u003eCnf\u003c\/i\u003e\u003ci\u003eR\u003c\/i\u003e (\u003ci\u003eP\u003c\/i\u003e1\/\u003ci\u003eP\u003c\/i\u003e2) 97\u003c\/p\u003e \u003cp\u003e5.5 Comparison of Capabilities of Indicatrix of Conformity \u003ci\u003eCnf\u003c\/i\u003e \u003ci\u003eR\u003c\/i\u003e(\u003ci\u003eP\u003c\/i\u003e1\u003ci\u003e\/\u003c\/i\u003e\u003ci\u003eP\u003c\/i\u003e2) and of \u003ci\u003eDupin\u003c\/i\u003e Indicatrix of the Surface of Relative Curvature \u003ci\u003eDup\u003c\/i\u003e (\u003ci\u003eR\u003c\/i\u003e) 98\u003c\/p\u003e \u003cp\u003e5.6 Important Properties of Indicatrix of Conformity \u003ci\u003eCnf\u003c\/i\u003e \u003ci\u003eR\u003c\/i\u003e(\u003ci\u003eP\u003c\/i\u003e\u003ci\u003e\/\u003c\/i\u003e\u003ci\u003eT\u003c\/i\u003e ) of Two Smooth Regular Part Surfaces 99\u003c\/p\u003e \u003cp\u003e5.7 The Converse Indicatrix of Conformity of Two Regular Part Surfaces in the First Order of Tangency 99\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6\u003c\/b\u003e \u003cb\u003e\u003ci\u003ePlücker\u003c\/i\u003e\u003c\/b\u003e \u003cb\u003eConoid: More Characteristic Curves 101\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 \u003ci\u003ePlücker\u003c\/i\u003e Conoid 101\u003c\/p\u003e \u003cp\u003e6.2 On Analytical Description of Local Geometry of a Smooth Regular Part Surface 105\u003c\/p\u003e \u003cp\u003e6.3 Relative Characteristic Curve 112\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Feasible Kinds of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 On the Possibility of Implementation of the Indicatrix of Conformity for the Purposes of Identification of the Actual Kind of Contact of Two Smooth Regular Part Surfaces 117\u003c\/p\u003e \u003cp\u003e7.2 Impact of Accuracy of the Computation on the Parameters of the Indicatrices of Conformity \u003ci\u003eCnf\u003c\/i\u003e \u003ci\u003eR\u003c\/i\u003e(\u003ci\u003eP\u003c\/i\u003e1\u003ci\u003e\/\u003c\/i\u003e\u003ci\u003eP\u003c\/i\u003e2) 121\u003c\/p\u003e \u003cp\u003e7.3 Classification of Possible Kinds of Contact of Two Smooth Regular Part Surfaces 122\u003c\/p\u003e \u003cp\u003e\u003cb\u003ePart III MAPPING OF THE CONTACTING PART SURFACES 131\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8\u003c\/b\u003e R\u003cb\u003e-Mapping of the Interacting Part Surfaces 133\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Preliminary Remarks 133\u003c\/p\u003e \u003cp\u003e8.2 On the Concept of R-Mapping of the Interacting Part Surfaces 134\u003c\/p\u003e \u003cp\u003e8.3 R-mapping of a Part Surface \u003ci\u003eP\u003c\/i\u003e1 onto Another Part Surface \u003ci\u003eP\u003c\/i\u003e2 136\u003c\/p\u003e \u003cp\u003e8.4 Reconstruction of the Mapped Part Surface 140\u003c\/p\u003e \u003cp\u003e8.5 Illustrative Examples of the Calculation of the Design Parameters of the Mapped Part Surface 141\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Generation of Enveloping Surfaces: General Consideration 145\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Envelope for Successive Positions of a Moving Planar Curve 145\u003c\/p\u003e \u003cp\u003e9.2 Envelope for Successive Positions of a Moving Surface 149\u003c\/p\u003e \u003cp\u003e9.3 Kinematic Method for Determining Enveloping Surfaces 154\u003c\/p\u003e \u003cp\u003e9.4 Peculiarities of Implementation of the Kinematic Method in Cases of Multi-parametric Relative Motion of the Surfaces 164\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Generation of Enveloping Surfaces: Special Cases 167\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Part Surfaces that Allow for \u003ci\u003eSliding Over Themselves\u003c\/i\u003e 167\u003c\/p\u003e \u003cp\u003e10.2 Reversibly Enveloping Surfaces: Introductory Remarks 169\u003c\/p\u003e \u003cp\u003e10.3 Generation of Reversibly Enveloping Surfaces 180\u003c\/p\u003e \u003cp\u003e10.4 On the Looseness of Two \u003ci\u003eOlivier\u003c\/i\u003e Principles 197\u003c\/p\u003e \u003cp\u003e\u003cb\u003eConclusion 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDICES 205\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix A: Elements of Vector Calculus 207\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Fundamental Properties of Vectors 207\u003c\/p\u003e \u003cp\u003eA.2 Mathematical Operations over Vectors 207\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix B: Elements of Coordinate System Transformations 211\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 Coordinate System Transformation 211\u003c\/p\u003e \u003cp\u003eB.2 Conversion of the Coordinate System Orientation 222\u003c\/p\u003e \u003cp\u003eB.3 Transformation of Surface Fundamental Forms 223\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendix C: Change of Surface Parameters 225\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eReferences 227\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eBibliography 229\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndex 233\u003c\/b\u003e\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49406884315479,"sku":"9781118520314","price":115.16,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/geometry-of-surfaces-9781118520314","provider":"Book Curl","version":"1.0","type":"link"}