Russell's ebook Library

Advanced Engineering Mathematics

*K. A. Stroud and Dexter J. Booth*

This revised and expanded best-selling advanced engineering mathematics textbook offers everything a student needs. Including four new topics and with several other topics extended in their coverage, this is a comprehensive course for all undergraduates in engineering and science from second year level onwards. Its highly successful technique-oriented approach guides the student through the development of each topic. There are hundreds of worked examples and exercises. Advanced Engineering Mathematics is the new edition of Further Engineering Mathematics (third edition), and companion volume to Engineering Mathematics (fifth edition) which has sold more than half a million copies world-wide.

This revised and expanded best-selling advanced engineering mathematics textbook offers everything a student needs. Including four new topics and with several other topics extended in their coverage, this is a comprehensive course for all undergraduates in engineering and science from second year level onwards. Its highly successful technique-oriented approach guides the student through the development of each topic. There are hundreds of worked examples and exercises. Advanced Engineering Mathematics is the new edition of Further Engineering Mathematics (third edition), and companion volume to Engineering Mathematics (fifth edition) which has sold more than half a million copies world-wide.

Engineering Mathematics

*John Bird*

John Bird's approach to mathematics, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the mathematics engineering students need to master.The book presents a logical topic progression, rather than following the structure of a particular syllabus and is suitable for all Level 3 vocational students and first year undergraduates in Engineering. However, coverage has been carefully matched to the mathematics units within the 2007 BTEC National specifications.BTEC National units fully covered: Mathematics for Technicians (Unit 4), Further Mathematics for Technicians (Unit 28).In this fifth edition, new material on inequalities and differentiation of parametric equations, implicit and logarithmic functions as well as an introduction to differential equations has been added. The book now also includes two new revision tests and even more problems for students to work through.Additional chapters on linear correlation, linear regression and sampling and estimation theories can be downloaded for free from http://books.elsevier.com/companions/9780750685559Support material for tutors is available as a free download at http://textbooks.elsevier.com:Instructor's manual with full solutions and suggested marking scheme for all 18 revision tests in the bookSolutions manual with worked solutions for about 1,250 of the further problems in the bookElectronic files for all illustrations in the book* New colour layout helps navigation and highlights key learning points, formulae and exercises* Over 1,000 worked examples and 2,000 questions, all with answers* Fully up to date with the 2007 BTEC National specification* Free lecturer support material available via textbooks.elsevier.com

John Bird's approach to mathematics, based on numerous worked examples supported by problems, is ideal for students of a wide range of abilities. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the mathematics engineering students need to master.The book presents a logical topic progression, rather than following the structure of a particular syllabus and is suitable for all Level 3 vocational students and first year undergraduates in Engineering. However, coverage has been carefully matched to the mathematics units within the 2007 BTEC National specifications.BTEC National units fully covered: Mathematics for Technicians (Unit 4), Further Mathematics for Technicians (Unit 28).In this fifth edition, new material on inequalities and differentiation of parametric equations, implicit and logarithmic functions as well as an introduction to differential equations has been added. The book now also includes two new revision tests and even more problems for students to work through.Additional chapters on linear correlation, linear regression and sampling and estimation theories can be downloaded for free from http://books.elsevier.com/companions/9780750685559Support material for tutors is available as a free download at http://textbooks.elsevier.com:Instructor's manual with full solutions and suggested marking scheme for all 18 revision tests in the bookSolutions manual with worked solutions for about 1,250 of the further problems in the bookElectronic files for all illustrations in the book* New colour layout helps navigation and highlights key learning points, formulae and exercises* Over 1,000 worked examples and 2,000 questions, all with answers* Fully up to date with the 2007 BTEC National specification* Free lecturer support material available via textbooks.elsevier.com

Engineering Mathematics

*K. A. Stroud and Dexter J. Booth*

A groundbreaking and comprehensive reference that's been a bestseller since 1970, this new edition provides a broad mathematical survey and covers a full range of topics from the very basic to the advanced. For the first time, a personal tutor CD-ROM is included.

A groundbreaking and comprehensive reference that's been a bestseller since 1970, this new edition provides a broad mathematical survey and covers a full range of topics from the very basic to the advanced. For the first time, a personal tutor CD-ROM is included.

Higher Engineering Mathematics

*John Bird*

John Bird's approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student's own pace. Basic mathematical theories are explained in the simplest of terms, supported by practical engineering examples and applications from a wide variety of engineering disciplines, to ensure the reader can relate the theory to actual engineering practice. This extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, Foundation Degrees, and HNC/D units. An established text which has helped many thousands of students to gain exam success, now in its fifth edition Higher Engineering Mathematics has been further extended with new topics to maximise the book's applicability for first year engineering degree students, and those following Foundation Degrees. New material includes: inequalities; differentiation of parametric equations; differentiation of hyperbolic functions; and homogeneous first order differential equations. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical Methods for Engineers, and the two specialist units Further Analytical Methods for Engineers and Engineering Mathematics in their entirety, common to both the electrical/electronic engineering and mechanical engineering pathways. A mapping grid is included showing precisely which topics are required for the learning outcomes of each unit, for ease of reference.The book is supported by a suite of free web downloads: Introductory-level algebra: To enable students to revise basic algebra needed for engineering courses - available at http://books.elsevier.com/companions/9780750681520 Instructor's Manual: Featuring full worked solutions and mark scheme for all 19 assignments in the book and the remedial algebra assignment - available on http://www.textbooks.elsevier.com for lecturers only* Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book - available on http://www.textbooks.elsevier.com for lecturers only New edition includes new and extended coverage of additional topics for undergraduate study and Foundation Degree coursesIncludes over 1,000 worked examples and over 1,750 problems, to enable the student to apply mathematics in real-world engineering contextsAn extensive Solutions Manual provides solutions to over 1,000 of the 1,750 further problems and is available as a free download for lecturers From the Inside FlapIncludes: * 1,000 Worked Examples * 1,750 Further Problems * 19 Assignments John Bird’s approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student’s own pace. Basic mathematical theories are explained in the simplest of terms, supported by practical engineering examples and applications from a wide variety of engineering disciplines, to ensure the reader can relate the theory to actual engineering practice. This extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, Foundation Degrees, and HNC/D units. An established text which has helped many thousands of students to gain exam success, now in its fifth edition Higher Engineering Mathematics has been further extended with new topics to maximise the book’s applicability for first year engineering degree students, and those following Foundation Degrees. New material includes: inequalities; differentiation of parametric equations; differentiation of hyperbolic functions; t = tan è/2 substitution; and homogeneous first order differential equations. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical Methods for Engineers, and the two specialist units Further Analytical Methods for Engineers and Engineering Mathematics in their entirety, common to both the electrical/electronic engineering and mechanical engineering pathways. A mapping grid is included showing precisely which topics are required for the learning outcomes of each unit, for ease of reference.

John Bird's approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student's own pace. Basic mathematical theories are explained in the simplest of terms, supported by practical engineering examples and applications from a wide variety of engineering disciplines, to ensure the reader can relate the theory to actual engineering practice. This extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, Foundation Degrees, and HNC/D units. An established text which has helped many thousands of students to gain exam success, now in its fifth edition Higher Engineering Mathematics has been further extended with new topics to maximise the book's applicability for first year engineering degree students, and those following Foundation Degrees. New material includes: inequalities; differentiation of parametric equations; differentiation of hyperbolic functions; and homogeneous first order differential equations. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical Methods for Engineers, and the two specialist units Further Analytical Methods for Engineers and Engineering Mathematics in their entirety, common to both the electrical/electronic engineering and mechanical engineering pathways. A mapping grid is included showing precisely which topics are required for the learning outcomes of each unit, for ease of reference.The book is supported by a suite of free web downloads: Introductory-level algebra: To enable students to revise basic algebra needed for engineering courses - available at http://books.elsevier.com/companions/9780750681520 Instructor's Manual: Featuring full worked solutions and mark scheme for all 19 assignments in the book and the remedial algebra assignment - available on http://www.textbooks.elsevier.com for lecturers only* Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book - available on http://www.textbooks.elsevier.com for lecturers only New edition includes new and extended coverage of additional topics for undergraduate study and Foundation Degree coursesIncludes over 1,000 worked examples and over 1,750 problems, to enable the student to apply mathematics in real-world engineering contextsAn extensive Solutions Manual provides solutions to over 1,000 of the 1,750 further problems and is available as a free download for lecturers From the Inside FlapIncludes: * 1,000 Worked Examples * 1,750 Further Problems * 19 Assignments John Bird’s approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student’s own pace. Basic mathematical theories are explained in the simplest of terms, supported by practical engineering examples and applications from a wide variety of engineering disciplines, to ensure the reader can relate the theory to actual engineering practice. This extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, Foundation Degrees, and HNC/D units. An established text which has helped many thousands of students to gain exam success, now in its fifth edition Higher Engineering Mathematics has been further extended with new topics to maximise the book’s applicability for first year engineering degree students, and those following Foundation Degrees. New material includes: inequalities; differentiation of parametric equations; differentiation of hyperbolic functions; t = tan è/2 substitution; and homogeneous first order differential equations. This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical Methods for Engineers, and the two specialist units Further Analytical Methods for Engineers and Engineering Mathematics in their entirety, common to both the electrical/electronic engineering and mechanical engineering pathways. A mapping grid is included showing precisely which topics are required for the learning outcomes of each unit, for ease of reference.

Introducing Mathematics

*Ziauddin Sardar and Jerry Ravetz and Borin van Loon*

What is mathematics, and why is it such a mystery to so many people? Mathematics is the greatest creation of human intelligence. It affects us all. We depend on it in our daily lives, and yet many of the tools of mathematics, such as geometry, algebra and trigonometry, are descended from ancient or non-Western civilizations.Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, the calculus, the theory of the infinite, statistical reasoning and chaos theory. It shows how the history of mathematics has seen progress and paradox go hand in hand - and how this is still happening today.

What is mathematics, and why is it such a mystery to so many people? Mathematics is the greatest creation of human intelligence. It affects us all. We depend on it in our daily lives, and yet many of the tools of mathematics, such as geometry, algebra and trigonometry, are descended from ancient or non-Western civilizations.Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, the calculus, the theory of the infinite, statistical reasoning and chaos theory. It shows how the history of mathematics has seen progress and paradox go hand in hand - and how this is still happening today.

Monte Carlo Methods: History and Applications

*Thomas B. Hall*

In this compilation, the authors first consider applying the Monte Carlo method to the general form of the heat equation that is used for analyzing conduction heat transfer.The Monte Carlo method is then extended to some convection heat transfer applications by representing the probabilistic interpretation of the energy equation to obtain the temperature profile.Following this, Monte Carlo Methods: History and Applications discusses the Monte Carlo methods needed for the estimation of the mean glandular dose in both digital mammography and digital breast tomosynthesis. Various breast anatomies are considered.The gradual development of the Monte Carlo method for solving problems of mathematical chemistry is considered. A comparison of various quantitative structure -- property/activity relationships based on the Monte Carlo method is also presented.Lastly, the Monte Carlo technique is used to characterize the statistical distributions of received measurements in an electric energy power system, as well as to quantify the correlations among these variables. To check the numerical accuracy of the results, the point estimate algorithm is employed.

In this compilation, the authors first consider applying the Monte Carlo method to the general form of the heat equation that is used for analyzing conduction heat transfer.The Monte Carlo method is then extended to some convection heat transfer applications by representing the probabilistic interpretation of the energy equation to obtain the temperature profile.Following this, Monte Carlo Methods: History and Applications discusses the Monte Carlo methods needed for the estimation of the mean glandular dose in both digital mammography and digital breast tomosynthesis. Various breast anatomies are considered.The gradual development of the Monte Carlo method for solving problems of mathematical chemistry is considered. A comparison of various quantitative structure -- property/activity relationships based on the Monte Carlo method is also presented.Lastly, the Monte Carlo technique is used to characterize the statistical distributions of received measurements in an electric energy power system, as well as to quantify the correlations among these variables. To check the numerical accuracy of the results, the point estimate algorithm is employed.