Advanced Modern Engineering Mathematics

This book provides a complete course for first-year engineering mathematics. Whichever field of engineering you are studying, you will be most likely to require knowledge of the mathematics presented in this textbook. Taking a thorough approach, the authors put the concepts into an engineering context, so you can understand the relevance of mathematical techniques presented and gain a fuller appreciation of how to draw upon them throughout your studies.

Building on the foundations laid in the companion text Modern Engineering Mathematics, this book gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. The philosophy of learning by doing helps students develop the ability to use mathematics with understanding to solve engineering problems. A wealth of engineering examples and the integration of MATLAB and MAPLE further support students.

"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 www.pearsoned.co.uk/james"--

Accompanying CD-ROM contains ... "a chapter on engineering statistics and probability / by N. Bali, M. Goyal, and C. Watkins."--CD-ROM label.

A convenient single source for vital mathematical concepts, writtenby engineers and for engineers. Builds a strong foundation in modern applied mathematics forengineering students, and offers them a concise and comprehensivetreatment that summarizes and unifies their mathematical knowledgeusing a system focused on basic concepts rather than exhaustivetheorems and proofs. The authors provide several levels of explanation and exercisesinvolving increasing degrees of mathematical difficulty to recalland develop basic topics such as calculus, determinants, Gaussianelimination, differential equations, and functions of a complexvariable. They include an assortment of examples ranging fromsimple illustrations to highly involved problems as well as anumber of applications that demonstrate the concepts and methodsdiscussed throughout the book. This broad treatment also offers:*Key mathematical tools needed by engineers working incommunications, semiconductor device simulation, and control theory* Concise coverage of fundamental concepts such as sets, mappings,and linearity * Thorough discussion of topics such as distance,inner product, and orthogonality * Essentials of operatorequations, theory of approximations, transform methods, and partialdifferential equationsIt makes an excellent companion to lessgeneral engineering texts and a useful reference for practitioners.

Building On The Foundations Laid In The Companion Text Modern Engineering Mathematics 3E, This Book Gives An Extensive Treatment Of Some Of The Advanced Areas Of Mathematics That Have Applications In Various Fields Of Engineering, Particularly As Tools For Computer-Based System Modelling, Analysis And Design.

The contents of this 2nd edition have been more sectionalized to make new material more accessible but essentially this book is a 1st level core studies course in mathematics for undergraduate courses in all engineering disciplines.