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Advanced Mathematics for Engineering Students

The Essential Toolbox

  • 1st Edition - May 20, 2021
  • Latest edition
  • Authors: Brent J. Lewis, E. Nihan Onder, Andrew Prudil
  • Language: English

Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics course… Read more

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Description

Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author’s university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox” for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical).

Key features

  • Delivers a focused and concise treatment on the underlying theory and direct application of mathematical methods so that the reader has a collection of important mathematical tools that are easily understood and ready for application as a practicing engineer
  • The book material has been derived from class-tested courses presented over many years in applied mathematics for engineering students (all problem sets and exam questions given for the course(s) are included along with a solution manual)
  • Provides fundamental theory for applied mathematics while also introducing the application of commercial software packages as modern tools for engineering application, including: EXCEL (statistical analysis); MAPLE (symbolic and numeric computing environment); and COMSOL (finite element solver for ordinary and partial differential equations)

Readership

3rd and 4th year undergraduate engineering students; practicing engineers needing to catch up on useful techniques and current commercial software applications

Table of contents

1. Prologue

2. Ordinary Differential Equations

3. Laplace and Fourier Transform Methods

4. Matrices and Linear Systems of Equations

5. Analytical Methods for Solving Partial Differential Equations

6.Difference Numerical Methods for Differential Equations

7. Finite Element Technique

8. Treatment of Experimental Results

9. Numerical Analysis

10. Introduction to Complex Analysis

11. Nondimensionalisation

12. Nonlinear Differential Equations

13. Integral Equations

14. Calculus of Variations

Review quotes

"Overall, the reviewer considers this text to offer a good and useful coverage of advanced  mathematics for engineers. It gives useful and succinct coverage of the topics included."—IEEE Pulse

Product details

  • Edition: 1
  • Latest edition
  • Published: May 20, 2021
  • Language: English

About the authors

BL

Brent J. Lewis

Dr. Brent Lewis PhD, PEng is retired Dean, Faculty of Energy Systems and Nuclear Science, University of Ontario Institute of Technology (2013-2015); Professor and UNENE/NSERC Industrial Research Chair, Royal Military College of Canada (RMC) (1988-2013), Scientist and Section Head, Chalk River Laboratories (1980-1988). Dr. Lewis has authored 360 journal articles, conference proceedings and reports, has consulted extensively for the domestic and international nuclear fuel community, and participated in the severe accident research program of France’s Commissariat à l’Energie Atomique in 1994-1995. He has also served on various committees and working groups, including several Standards Committees, the Executive Committee of the Material Science and Technology Division for the American Nuclear Society (ANS), the International Commission on Radiological Protection, the International Organization for Standardization, the International Space Station Multilateral Radiation Health Working Group for the Canadian Space Agency, UNENE and COG. As a result of his research work, he has received several awards from the ANS. Dr. Lewis was appointed a Fellow of the CNS in 2002.
Affiliations and expertise
Formerly, Royal Military College, Kingston, Canada

EO

E. Nihan Onder

Dr. E. Nihan Onder earned a PhD degree in nuclear engineering from École Polytechnique of Montréal, an MSc degree in nuclear engineering from Istanbul Technical University (ITU) and a BSc degree in mining engineering in ITU. Between 2001 and 2005, she worked at the company Énergie & Analyse du Québec (ÉNAQ, was a subcontractor to Hydro-Québec) to perform safety analysis for the Gentilly-2 nuclear power plant in Trois-Rivières, Québec. In 2005, she joined the thermalhydraulics branch (THB) at the Canadian Nuclear Laboratories (CNL, formerly Atomic Energy of Canada Limited (AECL)). At the THB, she worked as an analyst, and from 2009 to 2013 was the head of the analysis section. During this time, she supervised students and junior staff. In 2008, she was selected by CNL to attend the World Nuclear University (WNU) 2008 summer institute, which is an intensive five-week leadership development programme, tailored for nuclear professionals. In 2013, she joined the fuel development branch (FDB) at CNL. Since then, she has been performing analysis for fuel performance. She has published numerous articles and co-authored a comprehensive textbook titled “Fundamentals of Nuclear Engineering”, which was published by Wiley in 2017.
Affiliations and expertise
Fuel Development Branch, Canadian Nuclear Laboratories, Canada

AP

Andrew Prudil

Dr. Andrew Prudil Ph.D., PEng, graduated from the Queen’s University Kingston in 2009 with a BASc degree in Engineering Physics with an emphasis on electrical engineering. In 2013 Andrew completed his PhD developing computational models of nuclear fuel behavior under the supervision of Dr. Lewis and P. Chan in the Chemistry and Chemical Engineering Department at the Royal Military College of Canada. Currently Andrew is a Nuclear Fuel Safety Research Scientist in the Computational Techniques group at Canadian Nuclear Laboratories in Chalk River. Andrew has published numerous peer reviewed papers related to nuclear fuel. He is an active member of the Canadian Nuclear Society, the Professional Engineers of Ontario, and adjunct professor at Ontario Tech in Oshawa.
Affiliations and expertise
Computational Techniques Group, Canadian Nuclear Laboratories, Chalk River, Ontario, Canada

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