Advanced Modern Engineering Mathematics 4th Edition by James
Book Details :
LanguageEnglish
Pages1065
FormatPDF
Size7.62 MB


Advanced Modern Engineering Mathematics 4th Edition by James



Advanced Modern Engineering Mathematics 4th Edition by Glyn James | PDF Free Download.

Author of Advanced Modern Engineering Mathematics 

Glyn James retired as Dean of the School of Mathematical and Information Sciences at Coventry University in 2001 and is now Emeritus Professor in Mathematics at the University.

He graduated from the University College of Wales, Cardiff in the late 1950s, obtaining first-class honours degrees in both Mathematics and Chemistry. He obtained a PhD in Engineering Science in 1971 as an external student of the University of Warwick.

He has been employed at Coventry since 1964 and held the position of the Head of Mathematics Department prior to his appointment as Dean in 1992. His research interests are in control theory and its applications to industrial problems.

He also has a keen interest in mathematical education, particularly in relation to the teaching of engineering mathematics and mathematical modelling.

He was co-chairman of the European Mathematics Working Group established by the European Society for Engineering Education (SEFI) in 1982, a past chairman of the Education Committee of the Institute of Mathematics and its Applications (IMA), and a member of the Royal Society Mathematics Education Subcommittee.

In 1995 he was chairman of the Working Group that produced the report ‘Mathematics Matters in Engineering’ on behalf of the professional bodies in engineering and mathematics within the UK.

He is also a member of the editorial/advisory board of three international journals. He has published numerous papers and is co-editor of five books on various aspects of mathematical modelling.

He is a past Vice-President of the IMA and has also served a period as Honorary Secretary of the Institute. He is a Chartered Mathematician and a Fellow of the IMA.

Advanced Modern Engineering Mathematics Contents


  • Chapter 1 Matrix Analysis
  • Chapter 2 Numerical Solution of Ordinary Differential Equations 
  • Chapter 3 Vector Calculus
  • Chapter 4 Functions of a Complex Variable
  • Chapter 5 Laplace Transforms 
  • Chapter 6 The z Transform 
  • Chapter 7 Fourier Series
  • Chapter 8 The Fourier Transform 
  • Chapter 9 Partial Differential Equations
  • Chapter 10 Optimization 
  • Chapter 11 Applied Probability and Statistics

Preface to Advanced Modern Engineering Mathematics


Throughout the course of history, engineering and mathematics have developed in parallel. All branches of engineering depend on mathematics for their description and there has been a steady flow of ideas and problems from engineering that has stimulated and sometimes initiated branches of mathematics.

Thus it is vital that engineering students receive a thorough grounding in mathematics, with the treatment related to their interests and problems.

As with the previous editions, this has been the motivation for the production of this fourth edition – a companion text to the fourth edition of Modern Engineering Mathematics, this being designed to provide a first-level core studies course in mathematics for undergraduate programmes in all engineering disciplines.

Building on the foundations laid in the companion text, this book gives an extensive treatment of some of the more advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design.

Feedback, from users of the previous editions, on subject content has been highly positive indicating that it is sufficiently broad to provide the necessary second-level, or optional, studies for most engineering programmes, wherein each case a selection of the material may be made.

Whilst designed primarily for use by engineering students, it is believed that the book is also suitable for use by students of applied mathematics and the physical sciences.

Although the pace of the book is at a somewhat more advanced level than the companion text, the philosophy of learning by doing is retained with a continuing emphasis on the development of students’ ability to use mathematics with understanding to solve engineering problems.

Recognizing the increasing importance of mathematical modelling in engineering practice, many of the worked examples and exercises incorporate mathematical models that are designed both to provide relevance and to reinforce the role of mathematics in various branches of engineering.

In addition, each chapter contains specific sections on engineering applications, and these form an ideal framework for individual, or group, study assignments, thereby helping to reinforce the skills of mathematical modelling, which are seen as essential if engineers are to tackle the increasingly complex systems they are being called upon to analyse and design.

The importance of numerical methods in problem-solving is also recognized, and its treatment is integrated with the analytical work throughout the book.

Much of the feedback from users relates to the role and use of software packages, particularly symbolic algebra packages.

Without making it an essential requirement the authors have attempted to highlight throughout the text situations where the user could make effective use of the software.

This also applies to exercises and, indeed, a limited number have been introduced for which the use of such a package is essential. Whilst any appropriate piece of software can be used, the authors recommend the use of MATLAB and/or MAPLE.

In this new edition, a more copious reference to the use of these two packages is made throughout the text, with commands or codes introduced and illustrated.

When indicated, students are strongly recommended to use these packages to check their solutions to exercises.

This is not only to help develop proficiency in their use but also to enable students to appreciate the necessity of having sound knowledge of the underpinning mathematics if such packages are to be used effectively.

Throughout the book two icons are used: 

  • An open screen indicates that the use of a software package would be useful (e.g. for checking solutions) but not essential. 
  • A closed screen indicates that the use of a software package is essential or highly desirable.

As indicated earlier, feedback on content from users of previous editions has been favourable, and consequently, no new chapter has been introduced.

However, in response to feedback, the order of presentation of chapters has been changed, with a view to making it more logical and appealing to users. This re-ordering has necessitated some redistribution of material both within and across some of the chapters.

Another new feature is the introduction of the use of colour. It is hoped that this will make the text more accessible and student-friendly.

Also, in response to feedback individual chapters have been reviewed and updated accordingly. The most significant changes are:

Chapter 1 Matrix Analysis: Inclusion of new sections on ‘Singular value decomposition’ and ‘Lyapunov stability analysis’.

Chapter 5 Laplace transform: Following re-ordering of chapters a more unified and extended treatment of transfer functions/transfer matrices for continuous-time state-space models has been included. 

Chapter 6 Z-transforms: Inclusion of a new section on ‘Discretization of continuous-time state-space models’. 

Chapter 8 Fourier transform: Inclusion of a new section on ‘Direct design of digital filters and windows’. 

Chapter 9 Partial differential equations: The treatment of first-order equations has been extended and a new section on ‘Integral solution’ included. 

Chapter 10 Optimization: Inclusion of a new section on ‘Least squares’.

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