Modern Engineering Mathematics

Series
Pearson
Author
Glyn James / Phil Dyke  
Publisher
Pearson
Cover
Softcover
Edition
6
Language
English
Total pages
1160
Pub.-date
February 2020
ISBN13
9781292253497
ISBN
1292253495
Related Titles



Description

For first-year undergraduate modules in Engineering Mathematics.

 

 

Develop core understanding and mathematics skills within an engineering context

Modern Engineering Mathematics, 6th Edition by Professors Glyn James and Phil Dyke, draws on the teaching experience and knowledge of three co-authors, Matthew Craven, John Searl and Yinghui Wei, to provide a comprehensive course textbook explaining the mathematics required for students studying first-year engineering. No matter which field of engineering they will go on to study, this text provides a grounding of core mathematical concepts illustrated with a range of engineering applications. Its other hallmark features include its clear explanations and writing style, and the inclusion of hundreds of fully worked examples and exercises which demonstrate the methods and uses of mathematics in the real world. Woven into the text throughout, the authors put concepts into an engineering context, so students can understand the relevance of mathematical techniques and gain a fuller appreciation of how to draw upon them in their studies and future careers.

 

 

Also available with MyLab Math

MyLab™ is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. MyLab Math for this textbook has over 1150 questions to assign to your students, including exercises requiring different types of mathematics applications for a variety of industry types. Learn more about MyLab Math.

 


Pearson, the world’s learning company.  

Features

Help students gain a grounding in engineering mathematics

  • This textbook explains the mathematics required for students studying first-year engineering with a clear writing style, and links mathematics to what is used in engineering problems in the real world.

  • UPDATED! Over 1200 exercises in this book encourage engagement with understanding of concepts and encourage learning by doing. Many are embedded in frequent, bite-size sections within chapters, to allow active study straight away, and each chapter also contains end-of-chapter review exercises, providing a wealth of practice material.

  • Online ‘refresher units' cover topics students should have encountered at school but which they may not remember and maths they may have not used for some time. These can be found on a free to access companion website linked from this textbook at go.pearson.com/uk/he/resources.


Integrate powerful mathematics software and tools to support coursework

  • UPDATED! Work to do in MATLAB environment as well as MAPLE software is integrated in the text, with icons to show where using these is recommended. The incorporation of these powerful tools shows students how they can be used to support their work in mathematics.

  • NEW! R software has been used within examples in Chapter 13 Data Handling and Probability Theory, modernizing this chapter and demonstrating the power of this statistical computing tool.


Incorporate numerical methods into your course


  • Numerical methods have been integrated into the analytical exercises within the chapters of the book so that in your teaching more complex problems can be solved by drawing upon some of these methods in order to more realistically mirror what is used in the real world.


Bring concepts to life with relevant examples and applications 

  • UPDATED! 500 fully worked examples, including additional examples for this 6th Edition, demonstrate relevance to anyone studying engineering for the first time and reinforce the role of mathematics in the various branches of engineering.

  • UPDATED! An engineering applications section in every chapter provides arresting ways to tackle and model problems and gives much-needed context to different mathematical work that needs to be carried out in the real world.

 

Access a suite of lecturer resources 

  • UPDATED! PowerPoint slides for each chapter and a comprehensive Instructor's Manual for lecturers containing solutions are provided to equip you for using this text with your group. These can be downloaded from go.pearson.com/uk/he/resources

 

Also available with MyLab Math 

MyLab™ is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. Learn more about MyLab Math.

 

 

Reach every student with MyLab Math

  • Teach your course your way: Your course is unique. So whether you’d like to build your own assignments, teach multiple sections, or set prerequisites, MyLab Math gives you the flexibility to easily create your course to fit your needs.

    • Over 1150 questions to assign to your students, including exercises incorporating mathematics applications and scenarios based on a range of industry types.

    • NEW! 24 new multi-step exercises have been added to the course to provide you with more options for assignments:

      • Designed using a multi-step approach, these help students build from a basic to a more complex understanding of how to solve a problem.

      • Help aids can be enabled to support students working through these new questions.

    • UPDATED! Exercises now cover more comprehensively the full range of topics in the book.

  • Empower each learner: Each student learns at a different pace. Personalized learning pinpoints the precise areas where each student needs practice, giving all students the support they need — when and where they need it — to be successful.

    • The MyLab Math course for this text contains assignable exercises with help features that can be customized to the needs of your students. 

  • Deliver trusted content: You deserve teaching materials that meet your own high standards for your course. That’s why we partner with highly respected authors to develop interactive content and course-specific resources that you can trust — and that keep your students engaged. 

  • Improve student results: When you teach with MyLab Math, student performance often improves. That’s why instructors have chosen MyLab for over 15 years, touching the lives of over 50 million students. 

 

Pearson, the world’s learning company.

New to this Edition

Integrate powerful mathematics software and tools to support coursework


  • For the first time, R software has been used within examples in Chapter 13 Data Handling and Probability Theory, modernizing this chapter and demonstrating the power of this statistical computing tool.

  • Revised for this edition, the incorporation of MATLAB environment as well as MAPLE software shows students how they can be used to support their work in mathematics.

 

Bring concepts to life with even more relevant examples and applications 

  • Additional fully worked examples are included in this 6th Edition. These demonstrate relevance to anyone studying engineering for the first time, and reinforce the role of mathematics in the various branches of engineering.

  • An engineering applications section in every chapter provides arresting ways to tackle and model problems and gives much-needed context to different mathematical work that needs to be carried out in the real world.

  • Improvements have been made to a number of diagrams, after these have been built using more modern software.

 

Enable growth in mathematical skills through a wealth of practice material 

  • Updated for this edition, there are more than 1200 exercises in this book to engage students with understanding concepts and encourage learning by doing. Many are embedded in frequent, bite-size sections within chapters, to allow active study straight away, and each chapter also contains end-of-chapter review exercises.

Reach every student with MyLab Math


  • Teach your course your way: Whether you’d like to build your own assignments, teach multiple sections, or set prerequisites, MyLab Math gives you the flexibility to easily create your course to fit your needs, and exercises now cover more comprehensively the full range of topics in the book.

  • 24 new multi-step exercises have been added to the course to provide you with more options for assignments:

    • Designed with multiple steps, these help students build from a basic to a more complex understanding of how to solve a problem.

    • Help aids can be enabled to support students working through these new questions.

Table of Contents

Preface xxii

About the authors xxv

Publisher’s acknowledgements xxvii

 

Chapter 1    Number, Algebra and Geometry

Chapter 2 Functions

Chapter 3    Complex Numbers

Chapter 4    Vector Algebra

Chapter 5    Matrix Algebra

Chapter 6    An Introduction to Discrete Mathematics

Chapter 7    Sequences, Series and Limits

Chapter 8    Differentiation and Integration

Chapter 9    Further Calculus

Chapter 10 Introduction to Ordinary Differential Equations

Chapter 11 Introduction to Laplace Transforms

Chapter 12 Introduction to Fourier Series

Chapter 13 Data Handling and Probability Theory

 

Appendix I Tables

Answers to Exercises

Index

 

Back Cover

Develop understanding and maths skills within an engineering context

Modern Engineering Mathematics, 6th Edition, by Professors Glyn James and Phil Dyke, draws on the teaching experience and knowledge of three co-authors, Matthew Craven, John Searl and Yinghui Wei, to provide a comprehensive course textbook explaining the mathematics required for studying first-year engineering. No matter which field of engineering you will go on to study, this text provides a grounding of core mathematical concepts illustrated with a range of engineering applications. Its other hallmark features include its clear explanations and writing style, and the inclusion of hundreds of fully worked examples and exercises which demonstrate the methods and uses of mathematics in the real world. Woven into the text throughout, the authors put concepts into an engineering context, showing you the relevance of mathematical techniques and helping you to gain a fuller appreciation of how to apply them in your studies and future career.

 


A leader in its field, Modern Engineering Mathematics offers:

  • Clear explanations of the mathematics required for first-year engineering.

  • An engineering applications section in every chapter that provides arresting ways to tackle and model problems, showing how mathematical work is carried out in the real world.

  • 500 fully worked examples, including additional examples for this 6th Edition, reinforce the role of mathematics in the various branches of engineering.

  • Over 1200 exercises to help you understand how concepts work and encourage learning by doing.

  • Integration of MATLAB environment as well as MAPLE software, showing how these can be used to support your work in mathematics.

  • New inclusion of R software within ‘Data Handling and Probability Theory’ chapter.

  • Free online ‘refresher units' covering maths topics that you may not have used for some time. These can be found on a companion website linked from go.pearson.com/uk/he/resources.


Glyn James, the former editor of this book, was most recently Emeritus Professor in Mathematics at Coventry University and previously Dean of the School of Mathematical and Information Sciences. He had an active interest in mathematics education and was a past chairman of the Education Committee of the Institute of Mathematics and its Applications, and a member of the Royal Society Mathematics Education Subcommittee. 

 

 

Phil Dyke is Professor of Applied Mathematics at the University of Plymouth and was previously a Head of School for 22 years. Apart from being co-editor on Modern Engineering Mathematics and Advanced Modern Engineering Mathematics, he is the author of 11 other textbooks ranging in topic from advanced calculus to mechanics and marine physics. He is now semi-retired, but still teaches and is involved in research. He is a Fellow of the Institute of Mathematics and its Applications.

 


Pearson, the world’s learning company.

Author

Glyn James was most recently Emeritus Professor in Mathematics at Coventry University and was previously Dean of the School of Mathematical and Information Sciences at Coventry University. He had an active interest in mathematics education and was a past chairman of the Education Committee of the Institute of Mathematics and its Applications, 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 UK professional bodies in engineering and mathematics. He also co-edited five mathematics books and was a member of the advisory boards for three international journals. Sadly, Glyn James passed away in October 2019 during the production of this edition; his enthusiastic input was sorely missed, but this and its companion text Advanced Modern Engineering Mathematics remain a fitting legacy.

 

 

Phil Dyke is Professor of Applied Mathematics at the University of Plymouth. He was a Head of School for 22 years, 18 of these as Head of Mathematics and Statistics. He has over 45 years’ teaching and research experience in Higher Education, much of this teaching engineering students not only mathematics but also marine and coastal engineering. Apart from his contributions to both Modern Engineering Mathematics and Advanced Modern Engineering Mathematics he is the author of 11 other textbooks ranging in topic from advanced calculus, Laplace transforms and Fourier series to mechanics and marine physics. He is now semi-retired, but still teaches, is involved in research, and writes. He is a Fellow of the Institute of Mathematics and its Applications.

 


Matthew Craven is a Lecturer in Applied Mathematics at the University of Plymouth. For fifteen years, he has taught foundation year courses, postgraduate courses and everything in between. He is also part of the author team for the 5th edition of the companion text, Advanced Modern Engineering Mathematics. He has research interests in computational simulation, real-world operational research, high performance computing and optimisation.

 


Yinghui Wei is an Associate Professor of Statistics at the University of Plymouth. She has taught probability and statistics modules for mathematics programmes as well as for programmes in other subject areas, including engineering, business and medicine. She has broad research interests in statistical modelling, data analysis and evidence synthesis. 

 


John Searl was Director of the Edinburgh Centre for Mathematical Education at the University of Edinburgh before his retirement. As well as lecturing on mathematical education, he taught service courses for engineers and scientists. His most recent research concerned the development of learning environments that make for the effective learning of mathematics for 16 – 20 year olds. As an applied mathematician he worked collaboratively with (amongst others) engineers, physicists, biologists and pharmacologists, and he is keen to develop problem-solving skills of students and to provide them with opportunities to display their mathematical knowledge within a variety of practical contexts. The contexts develop the extended reasoning needed in all fields of engineering.