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Author  Title  Accn#  Year  Item Type  Claims 
1 
Wang, Jielong 
Multiscale Multibody Dynamics 
I12683 
2023 
eBook 

2 
Fuchs, J??rgen 
StringNet Construction of RCFT Correlators 
I12264 
2022 
Book 


1.


Title  Multiscale Multibody Dynamics : Motion Formalism Implementation 
Author(s)  Wang, Jielong 
Publication  Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2023. 
Description  XVI, 359 p. 80 illus., 79 illus. in color : online resource 
Abstract Note  This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higherorder implicit solvers formulate the scope of the book???s content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shelllike, and beamlike structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first and secondorder tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and twodimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite elementbased discrete system, the book discussed the implementation of implicit solvers in detail and introduced the welldeveloped RADAU IIA algorithms based on posterror estimation to make the contents of the book complete. The intended readers of this book are senior engineers and graduate students in related engineering fields 
ISBN,Price  9789811984419 
Keyword(s)  1. EBOOK  SPRINGER
2. LIE GROUPS
3. Mechanics, Applied
4. Multibody systems
5. Multibody Systems and Mechanical Vibrations
6. Solid Mechanics
7. SOLIDS
8. TOPOLOGICAL GROUPS
9. Topological Groups and Lie Groups
10. VIBRATION

Item Type  eBook 
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2.
 
Title  StringNet Construction of RCFT Correlators 
Author(s)  Fuchs, J??rgen;Schweigert, Christoph;Yang, Yang 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  X, 123 p. 122 illus : online resource 
Abstract Note  This book studies using stringnet models to accomplish a direct, purely twodimensional, approach to correlators of twodimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature. Combining these idempotents with Frobenius graphs on the world sheet yields string nets that form a consistent system of correlators, i.e. a system of invariants under appropriate mapping class groups that are compatible with factorization. The authors extract operator products of field objects from specific correlators; the resulting operator products are natural algebraic expressions that make sense beyond semisimplicity. They also derive an EckmannHilton relation internal to a braided category, thereby demonstrating the utility of string nets for understanding algebra in braided tensor categories. Finally, they introduce the notion of a universal correlator. This systematizes the treatment of situations in which different world sheets have the same correlator and allows for the definition of a more comprehensive mapping class group 
ISBN,Price  9783031146824 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. LIE GROUPS
6. MATHEMATICAL PHYSICS
7. QUANTUM FIELD THEORY
8. TOPOLOGICAL GROUPS
9. Topological Groups and Lie Groups

Item Type  Book 
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Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I12264 


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