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Mathematics And Materials

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A New Direction In Mathematics For Materials Science

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Author : Susumu Ikeda
language : en
Publisher: Springer
Release Date : 2015-12-18

A New Direction In Mathematics For Materials Science written by Susumu Ikeda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-18 with Mathematics categories.

This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration. The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for the formation process of materials, new geometric measures for finite carbon nanotube molecules, mathematical technique predicting a molecular magnet, and network analysis of nanoporous materials. The details of these works will be shown in the subsequent volumes of this SpringerBriefs in the Mathematics of Materials series by the individual authors. The posterior section of the book presents how breakthroughs based on mathematics–materials science collaborations can emerge. The authors' argument is supported by the experiences at the Advanced Institute for Materials Research (AIMR), where many researchers from various fields gathered and tackled interdisciplinary research.

Field Mathematics For Electromagnetics Photonics And Materials Science

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Author : Bernard Maxum
language : en
Publisher: SPIE Press
Release Date : 2005

Field Mathematics For Electromagnetics Photonics And Materials Science written by Bernard Maxum and has been published by SPIE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

The primary objective of this book is to offer a review of vector calculus needed for the physical sciences and engineering. This review includes necessary excursions into tensor analysis intended as the reader's first exposure to tensors, making aspects of tensors understandable at the undergraduate level.

A New Direction In Mathematics For Materials Science

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Author : Susumu Ikeda
language : en
Publisher: Springer
Release Date : 2015-12-08

Inelasticity Of Materials

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Author : Arun Ramaswamy Srinivasa
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009

Inelasticity Of Materials written by Arun Ramaswamy Srinivasa and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Science categories.

With the advent of a host of new materials ranging from shape memory alloys to biomaterials to multiphase alloys, acquiring the capacity to model inelastic behavior and to choose the right model in a commercial analysis software has become a pressing need for practicing engineers. Even with the traditional materials, there is a continued emphasis on optimizing and extending their full range of capability in the applications. This textbook builds upon the existing knowledge of elasticity and thermodynamics, and allows the reader to gain confidence in extending one's skills in understanding and analyzing problems in inelasticity. By reading this textbook and working through the assigned exercises, the reader will gain a level of comfort and competence in developing and using inelasticity models. Thus, the book serves as a valuable book for practicing engineers and senior-level undergraduate/graduate-level students in the mechanical, civil, aeronautical, metallurgical and other disciplines. The book is written in three parts. Part 1 is primarily focused on lumped parameter models and simple structural elements such as trusses and beams. This is suitable for an advanced undergraduate class with just a strength of materials background. Part II is focused on small deformation multi-dimensional inelasticity and is suitable for a beginning graduate class. Sufficient material is included on how to numerically implement an inelastic model and solve either using a simple stress function type of approach or using commercial software. Case studies are included as examples. There is also an extensive discussion of thermodynamics in the context of small deformations. Part III focuses on more advanced situations such as finite deformation inelasticity, thermodynamical ideas and crystal plasticity. More advanced case studies are included in this part. bull; This textbook takes a new, task- or scenario-based approach to teaching and learning inelasticity. The book is written in an active learning style that appeals to engineers and students who wish to design or analyze structures and components that are subject to inelasticity. bull; The book incorporates thermodynamical considerations into the modeling right from an early stage. Extensive discussions are provided throughout the book on the thermodynamical underpinnings of the models. bull; This textbook is the first to make extensive use of MATLAB to implement many inelasticity models. It includes the use of concepts such as Airy stress functions to solve plane problems for inelastic materials. The MATLAB codes are listed in the appendix for one to modify with their own models and requirements. bull; Step-by-step procedures for formulations and calculations are provided for the reader to readily adapt to the inelastic problems that he or she attempts to solve. bull; A large number of problems, exercises and projects for one to teach or learn from are included. These can be assigned as homework, in-class exercises or projects. bull; The book is written in a modular fashion, which provides adequate flexibility for adaptation in classes that cater to different audiences such as senior-level students, graduate students, research scholars, and practicing engineers.

Rediscovering Mathematics

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Author : Shai Simonson
language : en
Publisher: MAA
Release Date : 2011-04-14

Rediscovering Mathematics written by Shai Simonson and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-14 with Mathematics categories.

A guide to effective mathematical education, including a collection of topics and puzzles which aim to reignite interest in mathematics.

Miquon Math Lab Materials

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Author : Lore Rasmussen
language : en
Publisher:
Release Date : 1985

Miquon Math Lab Materials written by Lore Rasmussen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

Mathematical Research In Materials Science

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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 1993-02-01

Mathematical Research In Materials Science written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-01 with Technology & Engineering categories.

This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work. This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.

Resources In Education

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Author :
language : en
Publisher:
Release Date : 1993

Resources In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Education categories.

Oe Publication

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Author :
language : en
Publisher:
Release Date :

Oe Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Montessori Explained Simply Mathematics

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Author : Wilhelm Weinhäupl
language : en
Publisher: Wilhelm Weinhäupl
Release Date : 2021-03-01

Montessori Explained Simply Mathematics written by Wilhelm Weinhäupl and has been published by Wilhelm Weinhäupl this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-01 with Education categories.

MONTESSORI explained simply! - Mathematics - Booklet - February 2021 by Wilhelm Weinhäupl (author), Maria Neuhauser (author) Montessori materials are unique tools for the self-instruction of the child. However, they do not explain themselves. In order to work well with a material, the child needs an introduction that opens up the material and motivates to continue. This is the task of the pedagogues. "Montessori, simply clear! - Mathematics" shows in a clear and well-structured way how to work with the mathematics materials. For the two authors it was important to work out what the materials have in common, so that the constant ways of thinking and acting are clearly visible at a glance.

Mathematics And Materials

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