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Partial Derivatives by P.J. Hilton (English) Paperback Book
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Item specifics
- Condition
- ISBN-13
- 9780710043474
- Book Title
- Partial Derivatives
- ISBN
- 9780710043474
About this product
Product Identifiers
Publisher
Springer Netherlands
ISBN-10
0710043473
ISBN-13
9780710043474
eBay Product ID (ePID)
118856729
Product Key Features
Number of Pages
VIII, 57 Pages
Publication Name
Partial Derivatives
Language
English
Publication Year
1960
Subject
Differential Equations / Partial
Features
Reprint
Type
Textbook
Subject Area
Mathematics, Non-Classifiable
Series
Library of Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Weight
3.2 Oz
Item Length
8 in
Item Width
5 in
Additional Product Features
Number of Volumes
1 vol.
Illustrated
Yes
Table Of Content
1. Partial Derivatives and Partial Differentiation.- Exercises.- 2. Differentiability and Change of Variables.- 1. Differentiability.- 2. Change of Variables in Partial Differentiation.- 3. Differentials.- Exercises.- 3. Implicit Functions.- 1. Fundamental Theorem.- 2. Derivatives involving Implicit Functions.- 3. Jacobians, Inverse Functions, and Functional Dependence.- Exercises.- 4. Maxima and Minima.- 1. Mean Value Theorem and Taylor's Theorem.- 2. Maxima and Minima.- 3. Maxima and Minima for Functions with Restraints.- Exercises.- 5. Appendix.- Exercise.- Answers to Exercises.
Edition Description
Reprint
Synopsis
THIS book, like its predecessors in the same series, is in tended primarily to serve the needs of the university student in the physical sciences. However, it begins where a really elementary treatment of the differential calculus (e. g. , Dif ferential Calculus,t in this series) leaves off. The study of physical phenomena inevitably leads to the consideration of functions of more than one variable and their rates of change; the same is also true of the study of statistics, economics, and sociology. The mathematical ideas involved are des cribed in this book, and only the student familiar with the corresponding ideas for functions of a single variable should attempt to understand the extension of the method of the differential calculus to several variables. The reader should also be warned that, with the deeper penetration into the subject which is required in studying functions of more than one variable, the mathematical argu ments involved also take on a more sophisticated aspect. It should be emphasized that the basic ideas do not differ at all from those described in DC, but they are manipulated with greater dexterity in situations in which they are, perhaps, intuitively not so obvious. This remark may not console the reader bogged down in a difficult proof; but it may well happen (as so often in studying mathematics) that the reader will be given insight into the structure of a proof by follow ing the examples provided and attempting the exercises., THIS book, like its predecessors in the same series, is in- tended primarily to serve the needs of the university student in the physical sciences. However, it begins where a really elementary treatment of the differential calculus (e. g., Dif- ferential Calculus, t in this series) leaves off. The study of physical phenomena inevitably leads to the consideration of functions of more than one variable and their rates of change; the same is also true of the study of statistics, economics, and sociology. The mathematical ideas involved are des- cribed in this book, and only the student familiar with the corresponding ideas for functions of a single variable should attempt to understand the extension of the method of the differential calculus to several variables. The reader should also be warned that, with the deeper penetration into the subject which is required in studying functions of more than one variable, the mathematical argu- ments involved also take on a more sophisticated aspect. It should be emphasized that the basic ideas do not differ at all from those described in DC, but they are manipulated with greater dexterity in situations in which they are, perhaps, intuitively not so obvious. This remark may not console the reader bogged down in a difficult proof; but it may well happen (as so often in studying mathematics) that the reader will be given insight into the structure of a proof by follow- ing the examples provided and attempting the exercises.
LC Classification Number
H1-99
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