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Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.
Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.
This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Mechanics matches the corresponding unit of the syllabus, with clear and logical progression through. It contains materials on topics such as velocity and acceleration, force and motion, friction, connected particles, motion in a straight line, momentum, and work and energy. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.
Advances in Multi-Physics and Multi-Scale Couplings in Geo-Environmental Mechanics reunites some of the most recent work from the French research group MeGe GDR (National Research Group on Multiscale and Multiphysics Couplings in Geo-Environmental Mechanics) on the theme of multi-scale and multi-physics modeling of geomaterials, with a special focus on micromechanical aspects. Its offers readers a glimpse into the current state of scientific knowledge in the field, together with the most up-to-date tools and methods of analysis available. Each chapter represents a study with a different viewpoint, alternating between phenomenological/micro-mechanically enriched and purely micromechanical approaches. Throughout the book, contributing authors will highlight advances in geomaterials modeling, while also pointing out practical implications for engineers. Topics discussed include multi-scale modeling of cohesive-less geomaterials, including multi-physical processes, but also the effects of particle breakage, large deformations on the response of the material at the specimen scale and concrete materials, together with clays as cohesive geomaterials. The book concludes by looking at some engineering problems involving larger scales. - Identifies contributions in the field of geomechanics - Focuses on multi-scale linkages at small scales - Presents numerical simulations by discrete elements and tools of homogenization or change of scale
The 2nd edition of Mathematics: Revision Guide for Pure Mathematics 3 is tailored for students undertaking Pure Mathematics 3 (Paper 3) of the Cambridge International AS & A Level Mathematics (9709) examination. It is complete with step-by-step worked examples, useful tips, and questions from actual past examination papers, covering the latest syllabus for Pure Mathematics 3.
Discrete Contact Mechanics with Applications in Tribology presents new solutions to contact problems for elastic and viscoelastic bodies in normal, sliding, and rolling contact, taking into account effects such as surface microgeometry, adhesion, fluid films, and viscous hysteresis in bulk material or surface layers. These solutions are applied to problems in tribology for modeling contact and friction of bodies with surface microgeometry (rough or textured). The book provides exact mathematical formulations for cases of discrete contact based on classical approaches of contact mechanics, allowing readers to study the influence of different parameters of surface microgeometry on contact characteristics and friction force.The book will help solve problems in modeling contact and friction interaction in cases of discrete character of contact interaction, mutual influence of individual contact spots in contact interaction of elastic and viscoelastic solids, calculating sliding and rolling friction forces as a result of adhesive and viscoelastic mechanisms of dissipation, and more. - Provides a raft of solutions to contact problems for elastic and viscoelastic materials in normal, sliding, and rolling contact - Provides solutions and formulations that consider surface microgeometry, adhesion, fluid films, viscous hysteresis in bulk material or surface layers, and other common material effects - Features applied methods based on classical contact mechanics approaches, allowing for analytic and half-analytic treatment of problems
What is the progress in hydraulic research? What are the new methods used in modeling of transport of momentum, matter and heat in both open and conduit channels? What new experimental methods, instruments, measurement techniques, and data analysis routines are used in top class laboratory and field hydro-environment studies? How to link novel findings in fundamental hydraulics with the investigations of environmental issues? The consecutive 32nd International School of Hydraulics that took place in Łochów, Poland brought together eminent modelers, theoreticians and experimentalists as well as beginners in the field of hydraulics to consider these and other questions about the recent advances in hydraulic research all over the world. This volume reports key findings of the scientists that took part in the meeting. Both state of the art papers as well as detailed reports from various recent investigations are included in the book
