News Release

Princeton course inspires textbook on matrix structural analysis and finite element methods

Princeton scholars reinvent how students learn about structural analysis

Book Announcement

World Scientific

An Introduction to Matrix Structural Analysis and Finite Element Methods

image: This is the cover for An Introduction to Matrix Structural Analysis and Finite Element Methods view more 

Credit: World Scientific

Princeton's Dr. Jean H. Prévost and Serguei Bagrianski have released a book with World Scientific, entitled, An Introduction to Matrix Structural Analysis and Finite Element Methods. Based on a course taught at Princeton University over the past 15 years, this book guides readers from first principles to implementable algorithms. The intensive, code-centric approach adopted in this book aims to actively develop critical thinking skills to assess the performance of commercial analysis packages and explore advanced literature on the subject.

The typically decoupled fields of Matrix Structural Analysis (MSA) and Finite Element Methods (FEM) are presented in a cohesive framework. In the chapters on MSA, the authors not only derive formulations for truss, beam, and frame elements, but also develop the overarching framework for matrix analysis. The chapters on FEM build on this foundation to develop numerical approximation techniques for solving boundary value problems in steady-state heat and linear-elasticity.

In preparing this book, the authors adhered to a philosophy that presentation should be indistinguishable from content. Readers will be actively engaged by the seamless integration of algorithms, derivations, illustrations, and explanations. In-text code ties together theory and application; novel graphical techniques illustrate key concepts including matrix assembly, convergence, and error distribution.

An Introduction to Matrix Structural Analysis and Finite Element Methods is designed to be accessible to anyone with a basic understanding of statics, calculus, linear algebra, and coding. It will be of exceptional value to advanced undergraduate and graduate students in civil engineering and mechanical engineering.

The reader should be prepared to engage actively with the material by attempting to reproduce the presented algorithms. Every algorithm is provided as complete MATLAB® code, an object-oriented language that may also be treated as pseudocode should the reader desire to translate the code into another language. Each new element is validated by examples complete with explicit code, comprehensive results, and exact solutions.

This textbook retails for US$98 / £81 (hardback) at major bookstores. To know more about the book visit To request for an inspection copy, click on this link.


About the Authors

Jean H. Prévost has over 40 years of teaching and research experience in the areas of computational solid mechanics and finite element methods. He is currently doing research on topology optimization, delayed fracture in MEMS, cracks propagation in microstructures, and reservoir models for CO2 sequestration in deep saline aquifers. He has published over 250 technical papers in refereed journals and conference proceedings.

Serguei Bagrianski has served as an assistant in instruction at Princeton for ten semesters. He has been involved in research on thin shell concrete structures, segmental bridge construction, and digital fabrication. With degrees in structural engineering and architecture, he is currently working in transit design.

About World Scientific Publishing Co.

World Scientific Publishing is a leading independent publisher of books and journals for the scholarly, research, professional and educational communities. The company publishes about 600 books annually and about 130 journals in various fields. World Scientific collaborates with prestigious organizations like the Nobel Foundation, US National Academies Press, amongst others, to bring high quality academic and professional content to researchers and academics worldwide. To find out more about World Scientific, please visit

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