Further Mathematics for the Physical SciencesISBN: 9780471866916
744 pages
June 2000

Further Mathematics for the Physical Sciences Further Mathematics for the Physical Sciences aims to build upon the reader's knowledge of basic mathematical methods, through a gradual progression to more advanced methods and techniques. Carefully structured as a series of selfpaced and selfcontained chapters, this text covers the essential and most important techniques needed by physical science students. Starting with complex numbers, the text then moves on to cover vector algebra, determinants, matrices, differentiation, integration, differential equations and finally vector calculus, all within an applied environment. The reader is guided through these different techniques with the help of numerous worked examples, applications, problems, figures and summaries. The authors aim to provide highquality and thoroughly classtested material to meet the changing needs of science students. Further Mathematics for the Physical Sciences:
* Is a carefully structured text, with selfcontained chapters.
* Gradually introduces mathematical techniques within an applied environment.
* Includes many worked examples, applications, problems and summaries in each chapter.
Further Mathematics for the Physical Sciences will be invaluable to all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book's structure will make it equally valuable for course use, home study or distance learning.
* Is a carefully structured text, with selfcontained chapters.
* Gradually introduces mathematical techniques within an applied environment.
* Includes many worked examples, applications, problems and summaries in each chapter.
Further Mathematics for the Physical Sciences will be invaluable to all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book's structure will make it equally valuable for course use, home study or distance learning.
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COMPLEX NUMBERS.
Introducing Complex Numbers.
Polar Representation of Complex Numbers.
Demoivre's Theorem and Complex Algebra.
VECTOR ALGEBRA.
Scalar Products of Vectors.
Vector Products of Vectors.
DETERMINANTS AND MATRICES.
Determinants.
Matrices.
DIFFERENTIATION, EXPANSION AND APPROXIMATION.
Expansions and Approximations.
Taylor Expansions and Polynomial Approximations.
Hyperbolic Functions and Differentiation.
INTEGRATION, SUMMATION AND AVERAGING.
Areas, Volumes and Averages.
Special Integration Techniques.
DIFFERENTIAL EQUATIONS.
Formulating and Classifying Differential Equations.
Solving FirstOrder Differential Equations.
Solving SecondOrder Differential Equations.
Waves and Partial Differential Equations.
VECTOR CALCULUS.
Differentiating Vectors.
Integrating Vectors.
Appendix.
Answers and Comments.
Index.
Introducing Complex Numbers.
Polar Representation of Complex Numbers.
Demoivre's Theorem and Complex Algebra.
VECTOR ALGEBRA.
Scalar Products of Vectors.
Vector Products of Vectors.
DETERMINANTS AND MATRICES.
Determinants.
Matrices.
DIFFERENTIATION, EXPANSION AND APPROXIMATION.
Expansions and Approximations.
Taylor Expansions and Polynomial Approximations.
Hyperbolic Functions and Differentiation.
INTEGRATION, SUMMATION AND AVERAGING.
Areas, Volumes and Averages.
Special Integration Techniques.
DIFFERENTIAL EQUATIONS.
Formulating and Classifying Differential Equations.
Solving FirstOrder Differential Equations.
Solving SecondOrder Differential Equations.
Waves and Partial Differential Equations.
VECTOR CALCULUS.
Differentiating Vectors.
Integrating Vectors.
Appendix.
Answers and Comments.
Index.
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 Teaches the mathematics within a physics environment.
 Each chapter is selfcontained to allow for flexibility in the order subjects can be covered.
 Chapters include opening questions, worked examples, student exercises and summaries.
 Thoroughly reviewed and edited over a number of years resulting in a well developed and accurate text.
 Equally valuable on traditional courses, as well as distance learning courses.
 Supplements include a solutions manual, and web site.
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