Basic Mathematics for the Physical SciencesISBN: 9780471852070
688 pages
April 2000

This textbook provides a thorough introduction to the essential mathematical techniques needed in the physical sciences. Carefully structured as a series of selfpaced and selfcontained chapters, this text covers the basic techniques on which more advanced material is built. Starting with arithmetic and algebra, the text then moves on to cover basic elements of geometry, vector algebra, differentiation and finally integration, 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 provide highquality and thoroughly classtested material to meet the changing needs of science students.
The book:
* 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.
This text is an essential resource for all students of physics, chemistry and engineering, needing to develop or refresh their knowledge of basic mathematics. The book's structure makes it equally valuable for course use, home study or distance learning.
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BASIC ARITHMETIC AND ALGEBRA.
Introducing Arithmetic and Algebra.
Numbers, Units and Physical Quantities.
Functions and Graphs.
Solving Equations.
Trigonometric Functions.
Exponential and Logarithmic Functions.
Hyperbolic Functions.
BASIC GEOMETRY.
Introducing Geometry.
Coordinate Geometry.
Conic Sections.
BASIC VECTOR ALGEBRA.
Introducing Scalars and Vectors.
Working with Vectors.
BASIC DIFFERENTIATION.
Introducing Differentiation.
Differentiating Simple Functions.
Differentiating Composite Functions.
Stationary Points and Graph Sketching.
BASIC INTEGRATION.
Introducing Integration.
Integrating Simple Functions.
Integrating by Parts and by Substitution.
Appendix.
Answers and Comments.
Index.
Introducing Arithmetic and Algebra.
Numbers, Units and Physical Quantities.
Functions and Graphs.
Solving Equations.
Trigonometric Functions.
Exponential and Logarithmic Functions.
Hyperbolic Functions.
BASIC GEOMETRY.
Introducing Geometry.
Coordinate Geometry.
Conic Sections.
BASIC VECTOR ALGEBRA.
Introducing Scalars and Vectors.
Working with Vectors.
BASIC DIFFERENTIATION.
Introducing Differentiation.
Differentiating Simple Functions.
Differentiating Composite Functions.
Stationary Points and Graph Sketching.
BASIC INTEGRATION.
Introducing Integration.
Integrating Simple Functions.
Integrating by Parts and by Substitution.
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.
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