**This text teaches maths in a step-by-step fashion – ideal for students on first-year engineering and pre-degree courses.**

- Hundreds of examples and exercises, the majority set in an applied engineering context so that you immediately see the purpose of what you are learning

- Introductory chapter revises indices, fractions, decimals, percentages and ratios

- Fully worked solutions to every problem on the companion website at

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Kuldeep Singh is Senior Lecturer in Mathematics at the School of Physics, Astronomy and Mathematics at the University of Hertfordshire, UK. He teaches mathematics to a wide range of engineering and science students.

Online reviews: Very clear. Concise. A joy to learn from. I can't be more happy with a book that allows such depth to be absorbed.- Amazon reviewer This book has been my trusted reference since its first edition and is the best book on the topic that I have ever encountered. It takes you from a round-up of 'the stuff from school' all the way to differential equations; but in contrast to other books, you don't get lost on the way. Every chapter is well structured and full of great explanations, examples and illustrations, as well as related to real-world engineering problems; this makes it extra fun to work through. An amazing piece of work! - Amazon reviewer A brilliant book very well written, definitely outstanding in the field of instruction on basic and advanced maths. The author has the great ability to explain in great detail, and the text, walks the student step by step, through each and every process. Never have I seen such a splendid approach to mathematics...I highly recommend this book for the desk of each High School student, and Advanced Engineering student, or any student, who is required to know maths, from basic to advanced levels. - Barnes & Noble reviewer Published reviews of the first edition: 'The unique quality of this book is the wealth of examples applying the mathematical techniques taught here. These examples span mechanics, aerodynamics, electronics, engineering, fluid dynamics and other areas of applied mathematics. These are not just the usual examples involving differential equations and equations of motion, but real and thoughtful applications that will be relevant to the student.' - Jill Russell, Open University, UK. 'If you teach a first year mathematics module to a diverse engineering group, this book should be at the top of your list for consideration as a core text. It aims to encourage their [the students] learning through setting the mathematics within the context of engineering examples. With its very readable text it is suitable for both self-study and as support for a taught module. The book covers the requirements of most first year engineering mathematics modules with a fairly gentle reminder of arithmetic and algebra by way of introduction. Examples are drawn from such diverse subjects as electricity, control theory, heat flow, structures, fluid mechanics, signal processing, thermodynamics etc with the largest group being from mechanics. The examples are simple enough to be understood by most engineering students but sufficiently specific to allow students to see that mathematics is relevant to their own engineering discipline. I liked the presentation of the text - the questions posed to the reader, the full labelling in diagrams and the indication to students of the discipline of the examples. Helpful extra information is occasionally provided in subscript format to indicate the method used to move from one line to the next.' - Dr Ian Taylor, Faculty of Engineering at The University of Ulster, Engineering Subject Centre, Northern Ireland. 'The book starts with the basics of mathematics making it suitable for those with little background in mathematics. This also makes it appealing to a wide variety of readers with different mathematical backgrounds. The book is a good size covering all the essential topics to adequate depth. It covers topics similar to other books targeted at the same audience; however it differs in that it does not assume readers to have a mathematical background. The book's approach of using examples is effective. Its use of examples is motivating. The engineering example generates interest by illustrating the importance and relevance of mathematics in engineering. A definite plus is the provision of online interactive questions, which enable users to test their understanding. This extra support makes it an ideal text for self-study and distance learning.' - Dr Lawrence Chirwa, School of Electrical and Mechanical Engineering at The University of Ulster, Engineering Subject Centre, Northern Ireland. 'This is a book that is designed to cover the basics thoroughly and then move on. As a reminder of useful techniques, the book is definitely valuable. What is most refreshing is that it explains everything that you need to know in order to cover the basics of a given subject. The fact that there is almost no assumed knowledge is reassuring, and takes some of the mental strain away from getting your head around eigenvectors again... Essentially, if you want to remind yourself how to do those things that you once thought were straightforward, this is the book for you. A very useful book to have on your shelf.' - Edward Hoare, The Institution of Structural Engineers, UK. 'Excellent engineering examples not found in other texts' - Stephen Farrell, Lancaster University, UK 'Displaying questions/examples from different engineering disciplines demonstrates to students that mathematics is not a subject that must simply be endured but that it is an important tool for the professional engineer.' - Frank Doheny, Althone Institute of Technology, Ireland 'I think this is an excellent second edition. The strengths of the book include its being aimed at weaker students who have difficulty bridging the gap between A level and university. The contents match up well with our syllabuses. It has also a wealth of questions based on practical engineering examples.' Ian Jones, Liverpool John Moores University, UK Lecturer feedback: 'I really like this book. There are plenty of end-of-chapter questions and the explanations within the chapters are very well laid out. Topics have been given a thorough treatment.' - Saudagar Jagdev, Department of Engineering, Leeds City College, UK 'This text is brilliant! Easy to read and understand. It also uses an excellent spread of engineering sectors in the end-of-chapter questions.' - Christopher Collins, School of Construction, Lincoln College, UK 'Excellent text - detailed explanation of topics, relevant examples and attractive presentation.' - Aine Ni She, Department of Mathematics, Cork Institute of Technology, Ireland 'An excellent textbook for students undertaking mathematics as part of their core engineering studies.' - Allister Ross Smith, Fife College, UK

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