Artículos relacionados a Differential Calculus (Library of Mathematics)

Differential Calculus (Library of Mathematics) - Tapa blanda

Hilton, P. J.

 
9780710043412: Differential Calculus (Library of Mathematics)
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ISBN 10: 0710043414 ISBN 13: 9780710043412
Editorial: Springer, 1968

Sinopsis

THIS book is intended to provide the university student in the physical sciences with information about the differential calculus which he is likely to need. The techniques described are presented with due regard for their theoretical basis; but the emphasis is on detailed discussion of the ideas of the differ­ ential calculus and on the avoidance of false statements rather than on complete proofs of all results. It is a frequent experi­ ence of the university lecturer that science students ’know how to differentiate’, but are less confident when asked to say ’what ix means’. It is with the conviction that a proper understand­ ing of the calculus is actually useful in scientific work and not merely the preoccupation of pedantic mathematicians that this book has been written. The author wishes to thank his colleague and friend, Dr. W. Ledermann, for his invaluable suggestions during the prepara­ tion of this book. P. J. HILTON The University. Manchester . . . Contents PAGE Preface V CHAPTER I Introduction to Coordinate Geometry I 6 2 Rate of Change and Differentiation I. The meaning of ’rate of change’ 6 2. Limits 9 3. Rules for differentiating IS 4. Formulae for differentiating 21 Exerc-bses 2 3 3 Maxima and Minima and Taylor’s Theorem 34 I. Mean Value Theorem 34 2. Taylor’s Theorem 41 3. Maxima and minima 45 4.

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Reseña del editor

THIS book is intended to provide the university student in the physical sciences with information about the differential calculus which he is likely to need. The techniques described are presented with due regard for their theoretical basis; but the emphasis is on detailed discussion of the ideas of the differ­ ential calculus and on the avoidance of false statements rather than on complete proofs of all results. It is a frequent experi­ ence of the university lecturer that science students 'know how to differentiate', but are less confident when asked to say 'what ix means'. It is with the conviction that a proper understand­ ing of the calculus is actually useful in scientific work and not merely the preoccupation of pedantic mathematicians that this book has been written. The author wishes to thank his colleague and friend, Dr. W. Ledermann, for his invaluable suggestions during the prepara­ tion of this book. P. J. HILTON The University. Manchester . . . Contents PAGE Preface V CHAPTER I Introduction to Coordinate Geometry I 6 2 Rate of Change and Differentiation I. The meaning of 'rate of change' 6 2. Limits 9 3. Rules for differentiating IS 4. Formulae for differentiating 21 Exerc-bses 2 3 3 Maxima and Minima and Taylor's Theorem 34 I. Mean Value Theorem 34 2. Taylor's Theorem 41 3. Maxima and minima 45 4.

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Editorial
Springer
Año de publicación
1968
Idioma
Inglés
ISBN 10 
0710043414
ISBN 13 
9780710043412
Encuadernación
Tapa blanda
Número de páginas
68
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