This book is concerned with the calculus of several variables and provides an introduction to elementary differential and difference equations. The emphasis is on practical problem-solving rather than the proof of formal theorems. Many worked examples are supplied as well as problems for the student to solve, together with their solutions. The techniques are illustrated with applications drawn chiefly from economics, statistics and operational research. Some elementary knowledge of the calculus of one variable is assumed but revision material is supplied throughout the text. A confident approach to problem-solving is not possible without some understanding of the background theory. In this book the theory is presented systematically but informally. Wherever possible, geometric arguments are used and the text is illustrated with numerous diagrams. Particular care has been taken to make the main body of the text suitable for students who are studying independently of a taught course. The book will interest students at universities and other higher education institutions. At the London School of Economics, the course on which this book is based is attended by students reading for a variety of different degrees and with a wide disparity in their previous levels of mathematical training. Some are graduates and some are first-year undergraduates. It is hoped that this book will attract a similar audience: not only of economists, statisticians and other social scientists but also physical scientists, engineers and mathematicians.
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'... well illustrated and has a good supply of examples and exercises ... an excellent textbook for courses in intermediate calculus for students of mathematics as well as economics.' Zentralblatt für Mathematik
'The book not only broadens one's mathematical scope and improves one's mathematical skill but, even more usefully, it shows the reader how powerful are the tools that mathematics offers, and that mathematics allows us to participate in processes where our presence is impossible: through mathematics we can enter forbidden worlds, through mathematics we can see the future. Although the book contains no formal definitions, theorems or proofs, it is a genuine mathematical textbook showing how and why the explained methods and concepts work. One hardly can imagine a better textbook of this type.' EMS
'... a welcome addition to the ever increasing library of texts introducing the calculus of several real variables. The book is carefully thought out and well written with its target audience always in mind.' The Mathematical Gazette
This textbook is concerned with the calculus of several variables and provides an introduction to elementary differential and difference equations. The emphasis is on practical problem-solving rather than the proof of formal theories. The techniques are illustrated with applications drawn mainly from economics, statistics and operational research.
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