03286nam 2200673 a 450 991046309170332120200520144314.01-299-05125-11-4008-4480-010.1515/9781400844807(CKB)2670000000329078(EBL)1077324(OCoLC)825071220(OCoLC)845247310(SSID)ssj0000783430(PQKBManifestationID)11418597(PQKBTitleCode)TC0000783430(PQKBWorkID)10760172(PQKB)10802785(MiAaPQ)EBC1077324(DE-B1597)453870(OCoLC)979726743(DE-B1597)9781400844807(PPN)199245088sudoc(PPN)187960267(Au-PeEL)EBL1077324(CaPaEBR)ebr10634616(CaONFJC)MIL436375(OCoLC)845247310(EXLCZ)99267000000032907820120727d2013 uy 0engurunu|||||txtccrHeavenly mathematics[electronic resource] the forgotten art of spherical trigonometry /Glen Van BrummelenCourse BookPrinceton Princeton University Pressc20131 online resource (217 p.)Description based upon print version of record.0-691-17599-3 0-691-14892-9 Includes bibliographical references and index.Heavenly mathematics -- Exploring the sphere -- The ancient approach -- The medieval approach -- The modern approach: right-angled triangles -- The modern approach: oblique triangles -- Areas, angles, and polyhedra -- Stereographic projection -- Navigation.Heavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth. Once at the heart of astronomy and ocean-going navigation for two millennia, the discipline was also a mainstay of mathematics education for centuries and taught widely until the 1950's. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation of its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams. This unique compendium also features easy-to-use appendixes as well as exercises that originally appeared in textbooks from the eighteenth to the early twentieth centuries.Spherical trigonometryTrigonometryElectronic books.Spherical trigonometry.Trigonometry.516.24Van Brummelen Glen1049927MiAaPQMiAaPQMiAaPQBOOK9910463091703321Heavenly mathematics2479314UNINA05013nam 2200733 450 991046550610332120211117152040.01-118-93333-81-118-93332-X(CKB)3710000000679403(EBL)4526800(OCoLC)930875622(SSID)ssj0001668105(PQKBManifestationID)16457259(PQKBTitleCode)TC0001668105(PQKBWorkID)15002118(PQKB)10628957(PQKBManifestationID)16457819(PQKB)21346963(MiAaPQ)EBC4526800(DLC) 2015047398(JP-MeL)3000065318(Au-PeEL)EBL4526800(CaPaEBR)ebr11211388(CaONFJC)MIL957407(EXLCZ)99371000000067940320160602h20162016 uy 0engur|n|---|||||txtccrKinematics, dynamics, and design of machinery /Kenneth J. Waldron, Gary L. Kinzel, Sunil K. AgrawalThird edition.Chichester, West Sussex, England :Wiley,2016.©20161 online resource (1283 p.)Description based upon print version of record.1-118-93328-1 Includes bibliographical references at the end of each chapters and index.About the Companion Website; Title Page; Copyright; Preface; Chapter 1: Introduction; 1.1 Historical Perspective; 1.2 Kinematics; 1.3 Design: Analysis and Synthesis; 1.4 Mechanisms; 1.5 Planar Linkages; 1.6 Visualization; 1.7 Constraint Analysis; 1.8 Constraint Analysis of Spatial Linkages; 1.9 Idle Degrees of Freedom; 1.10 Overconstrained Linkages; 1.11 Uses of the Mobility Criterion; 1.12 Inversion; 1.13 Reference Frames; 1.14 Motion Limits; 1.15 Continuously Rotatable Joints; 1.16 Coupler-Driven Linkages; 1.17 Motion Limits for Slider-Crank Mechanisms; 1.18 Interference1.19 Practical Design ConsiderationsReferences; Problems; Chapter 2: Techniques in Geometric Constraint Programming; 2.1 Introduction; 2.2 Geometric Constraint Programming; 2.3 Constraints and Program Structure; 2.4 Initial Setup for a GCP Session; 2.5 Drawing a Basic Linkage Using GCP; 2.6 Troubleshooting Graphical Programs Developed Using GCP; References; Problems; Appendix 2A Drawing Slider Lines, Pin Bushings, and Ground Pivots; Appendix 2B Useful Constructions When Equation Constraints are Not Available; Chapter 3: Planar Linkage Design; 3.1 Introduction3.2 Two-Position Double-Rocker Design3.3 Synthesis of Crank-Rocker Linkages for Specified Rocker Amplitude; 3.4 Motion Generation; 3.5 Path Synthesis; References; Problems; Chapter 4: Graphical Position, Velocity, and Acceleration Analysis for Mechanisms with Revolute Joints or Fixed Slides; 4.1 Introduction; 4.2 Graphical Position Analysis; 4.3 Planar Velocity Polygons; 4.4 Graphical Acceleration Analysis; 4.5 Graphical Analysis of a Four-Bar Mechanism; 4.6 Graphical Analysis of a Slider-Crank Mechanism; 4.7 Velocity Image Theorem; 4.8 Acceleration Image Theorem4.9 Solution by Geometric Constraint ProgrammingReferences; Problems; Chapter 5: Linkages with Rolling and Sliding Contacts, and Joints on Moving Sliders; 5.1 Introduction; 5.2 Reference Frames; 5.3 General Velocity and Acceleration Equations; 5.4 Special Cases for the Velocity and Acceleration Equations; 5.5 Linkages with Rotating Sliding Joints; 5.6 Rolling Contact; 5.7 Cam Contact; 5.8 General Coincident Points; 5.9 Solution by Geometric Constraint Programming; Problems; Chapter 6: Instant Centers of Velocity; 6.1 Introduction; 6.2 Definition; 6.3 Existence Proof6.4 Location of an Instant Center from the Directions of Two Velocities6.5 Instant Center at a Revolute Joint; 6.6 Instant Center of a Curved Slider; 6.7 Instant Center of a Prismatic Joint; 6.8 Instant Center of a Rolling Contact Pair; 6.9 Instant Center of a General Cam-Pair Contact; 6.10 Centrodes; 6.11 The Kennedy-Aronhold Theorem; 6.12 Circle Diagram as a Strategy for Finding Instant Centers; 6.13 Using Instant Centers to Find Velocities: The Rotating-Radius Method; 6.14 Finding Instant Centers Using Geometric Constraint Programming; References; ProblemsChapter 7: Computational Analysis of LinkagesMachinery, Kinematics ofMachinery, Dynamics ofMachine designElectronic books.Machinery, Kinematics of.Machinery, Dynamics of.Machine design.621.81Waldron Kenneth J.25062Kinzel Gary L.1944-Agrawal Sunil KumarMiAaPQMiAaPQMiAaPQBOOK9910465506103321Kinematics, dynamics, and design of machinery2037132UNINA03780nam 22011055 450 991015475490332120190708092533.01-4008-8167-610.1515/9781400881673(CKB)3710000000614547(MiAaPQ)EBC4738549(DE-B1597)468009(OCoLC)979743244(DE-B1597)9781400881673(EXLCZ)99371000000061454720190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierCohomology Operations (AM-50), Volume 50 Lectures by N.E. Steenrod. (AM-50) /David B.A. EpsteinPrinceton, NJ : Princeton University Press, [2016]©19631 online resource (156 pages) illustrationsAnnals of Mathematics Studies ;2680-691-07924-2 Includes bibliographical references at the end of each chapters and index.Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. Axiomatic Development of the Steenrod Algebra -- CHAPTER II. The Dual of the Algebra -- CHARTER III. Embeddings of Spaces in Spheres -- CHAPTER IV. The Cohomology of Classical Groups and Stiefel Manifolds. -- CHAPTER V. Equivariant Cohomology -- CHAPTER VI. Axiomatic Development of the Algebra -- CHAPTER VII. Construction of the Reduced Powers -- CHAPTER VIII. Relations of Adem and the Uniqueness Theorem -- APPENDIX: Algebraic Derivations of Certain Properties of the Steenrod Algebra -- Index -- Errata for the Annals Study No. 50Written and revised by D. B. A. Epstein.Annals of mathematics studies ;Number 50.Homology theoryAlgebra homomorphism.Algebra over a field.Algebraic structure.Approximation.Axiom.Basis (linear algebra).CW complex.Cartesian product.Classical group.Coefficient.Cohomology operation.Cohomology ring.Cohomology.Commutative property.Complex number.Computation.Continuous function.Cup product.Cyclic group.Diagram (category theory).Dimension.Direct limit.Embedding.Existence theorem.Fibration.Homomorphism.Hopf algebra.Hopf invariant.Ideal (ring theory).Integer.Inverse limit.Manifold.Mathematics.Monomial.N-skeleton.Natural transformation.Permutation.Quaternion.Ring (mathematics).Scalar (physics).Special unitary group.Steenrod algebra.Stiefel manifold.Subgroup.Subset.Summation.Symmetric group.Symplectic group.Theorem.Uniqueness theorem.Upper and lower bounds.Vector field.Vector space.W0.Homology theory.513.83Epstein David B.A., 155756DE-B1597DE-B1597BOOK9910154754903321Cohomology Operations (AM-50), Volume 502788319UNINA