Mathematical analysis for economists/ (Record no. 145486)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00313nam a2200121Ia 4500 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 330.0151 |
| Item number | ALL/M |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Allen, R.G.D. |
| 245 #0 - TITLE STATEMENT | |
| Title | Mathematical analysis for economists/ |
| Statement of responsibility, etc. | R.G.D. Allen |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Delhi: |
| Name of publisher, distributor, etc. | A.I.T.B.S., |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 548 p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | The Use of Greek Letters in Mathematical Analysis<br/>I. Numbers and Variables<br/>1.1 Introduction -- 1.2 Numbers of various types -- 1.3 The real number system -- 1.4 Continuous and discontinuous variables -- 1.5 Quantities and their measurement -- 1.6 Units of measurement -- 1.7 Derived quantities -- 1.8 The location of points in space -- 1.9 Variable points and their co-ordinates -- Examples I—The measurement of quantities; graphical methods --<br/><br/>II. Functions and their Diagrammatic Representation<br/>2.1 Definition and examples of functions -- 2.2 The graphs of functions -- 2.3 Functions and curves -- 2.4 Classification of functions -- 2.5 Function types -- 2.6 The symbolic representation of functions of any form -- 2.7 The diagrammatic method -- 2.8 The solution of equations in one variable -- 2.9 Simultaneous equations in two variables -- Examples II—Functions and graphs ; the solution of equations -- <br/><br/>III. Elementary Analytical Geometry<br/>3.1 Introduction -- 3.2 The gradient of a straight line -- 3.3 The equation of a straight line -- 3.4 The parabola -- 3.6 The rectangular hyperbola -- 3.6 The circle -- 3.7 Curve classes and curve systems -- 3.8 An economic problem in analytical geometry -- Examples III—The straight line ; curves and curve systems<br/><br/>IV. Limits and Continuity of Functions<br/>4.1 The fundamental notion of a limit -- 4.2 Examples of the limit of a function -- 4.3 Definition of the limit of a single-valued function -- 4.4 Limiting and approximate values -- 4.5 Some properties of limits -- 4.6 The continuity of functions<br/>4.7 Illustrations of continuity and discontinuity of functions -- 4.8 Multi-valued functions -- Examples IV—Limits of functions ; continuity of functions --<br/><br/>V. Functions and Diagrams in Economic Theory<br/>5.1 Introduction -- 5.2 Demand functions and curves -- 5.3 Particular demand functions and curves -- 5.4 Total revenue functions and curves -- 5.5 Cost functions and curves -- 5.6 Other functions and curves in economic theory -- 5.7 Indifference curves for consumers' goods -- 5.8 Indifference curves for the flow of income over time -- Examples V—Economic functions and curves<br/><br/>VI. Derivatives and their Interpretation<br/>6.1 Introduction -- 6.2 The definition of a derivative -- 6.3 Examples of the evaluation of derivatives -- 6.4 Derivatives and approximate values -- 6.5 Derivatives and tangents to curves -- 6.6 Second and higher order derivatives -- 6.7 The application of derivatives in the natural sciences -- 6.8 The application of derivatives in economic theory -- Examples VI—Evaluation and interpretation of derivatives<br/><br/>VII. The Technique of Derivation<br/>7.1 Introduction -- 7.2 The power function and its derivative -- 7.3 Rules for the evaluation of derivatives -- 7.4 Examples of the evaluation of derivatives -- 7.5 The function of a function rule -- 7.6 The inverse function rule -- 7.7 The evaluation of second and higher order derivatives -- Examples VII—Practical derivation -<br/><br/>VIII. Applications op Derivatives<br/>8.1 The sign and magnitude of the derivative -- 8.2 Maximum and minimum values -- 8.3 Applications of the second derivative -- 8.4 Practical methods of finding maximum and minimum values -- 8.5 A general problem of average and marginal values -- 8.6 Points of inflexion -- 8.7 Monopoly problems in economic theory-- 8.8 Problems of duopoly -- 8.9 A note on necessary and sufficient conditions -- Examples VIII—General applications of derivatives ; economic applications of derivatives -<br/><br/>IX. Exponential and Logarithmic Functions<br/>9.1 Exponential functions -- 9.2 Logarithms and their properties -- 9.3 Logarithmic functions -- 9.4 Logarithmic scales and graphs -- 9.5 Examples of logarithmic plotting -- 9.6 Compound interest -- 9.7 Present values and capital values -- 9.8 Natural exponential and logarithmic functions -- Examples IX—Exponential and logarithmic functions; compound interest problems -<br/><br/>X. Logarithmic Derivation<br/>10.1 Derivatives of exponential and logarithmic functions -- 10.2 Logarithmic derivation -- 10.3 A problem of capital and interest -- 10.4 The elasticity of a function -- 10.5 The evaluation of elasticities -- 10.6 The elasticity of demand -- 10.7 Normal conditions of demand -- 10.8 Cost elasticity and normal cost conditions -- Examples X—Exponential and logarithmic derivatives; elasticities and their applications -- <br/><br/>XI. Fctnctions of Two ok Moke Vakiables<br/>11.1 Functions of two variables -- 11.2 Diagrammatic representation of functions of two variables. - - 11.3 Plane sections of a surface -- 11.4 Functions of more than two variables -- 11.5 Non-measurable variables -- 11.6 Systems of equations -- 11.7 Functions of several variables in economic theory -- 11.8 The production function and constant product curves -- 11.9 The utility function and indifference curves -- Examples XI—Functions of two or more variables ; economic functions and surfaces -<br/><br/>XII. Partial Derivatives and their Applications<br/>12.1 Partial derivatives of functions of two variables<br/>12.2 Partial derivatives of the second and higher orders<br/>12.3 The signs of partial derivatives <br/>12.4 The tangent plane to a surface<br/>12.5 Partial derivatives of functions of more than twovariables<br/>12.6 Economic applications of partial derivatives<br/>12.7 Homogeneous functions<br/>12.8 Euler's Theorem and other properties of homogeneous functions <br/>12.9 The linear homogeneous production function<br/>Examples XII—Partial derivatives ; homogeneous functions ; economic applications of partial derivatives and homogeneous functions<br/><br/>XIII. Differentials and Differentiation<br/>13.1 The variation of a function of two variables<br/>13.2 The differential of a fimction of two variables<br/>13.3 The technique of differentiation -<br/>13.4 Differentiation of functions of fxmctions<br/>13.5 Differentiation of implicit functions<br/>13.6 The differential of a function of more than two variables<br/>13.7 The substitution of factors in production<br/>13.8 Substitution in other economic problems<br/>13.9 Further consideration of duopoly problems<br/>Examples XIII—^Differentiation ; economic applications of differentials<br/><br/>XIV. Problems op Maximum and Minimum Values<br/>14.1 Partial stationary values<br/>14.2 Maximum and minimum values of a function of two or more variables<br/>14.3 Examples of maximum and minimum values<br/>14.4 Monopoly and joint production<br/>14.5 Production, capital and interest<br/>14.6 Relative maximum and minimiun values<br/>14.7 Examples of relative maximum and minimum values<br/>14.8 The demand for factors of production<br/>14.9 The demand for consumers' goods and for loans<br/>Examples XIV—General maximum and minimum problems ; economic maximum and minimum problems<br/><br/>XV. Integrals of Functions of One Variable<br/>15.1 The definition of a definite integral<br/>15.2 Definite integrals as areas -<br/>15.3 Indefinite integrals and inverse differentiation<br/>15.4 The technique of integration<br/>15.5 Definite integral and approximate integration<br/>15.C The relation b, tween average and marginal concepts<br/>15.7 Capital values<br/>15.8 A problem of durable capital goods<br/>15.9 Average and dispersion of a frequency distribution<br/>Examples XV—Integration ; integrals in economic problems<br/><br/>XVI. Differential Equations<br/>16.1 The nature of the problem<br/>16.2 Linear differential equations and their integration<br/>16.3 The general integral of a linear differential equation<br/>16.4 Simultaneous linear d'Me -ential equations<br/>16.5 Orthogonal curve c. i surface systems<br/>16.6 Other differential equations<br/>16.7 Dynamic forms of demand and supply functions<br/>16.8 The general theory of consumers' choice<br/>Examples XVI—Differential equations ; economic applications of differential equations<br/><br/>XVII. Expansions, Taylor's Series and Higher Order Differentials -<br/>17.1 Limits and infinite series<br/>17.2 The expansion of a function of one variable (Taylor's series)<br/>17.3 Examples of the expansion of functions<br/>17.4 The expansion of a function of two or more variables<br/>17.5 A complete criterion for maximum and minimum values -<br/>17.6 Second and higher order differentials<br/>17.7 Differentials of a function of two independent variables<br/>17.8 Differentials of a function of two dependent variables<br/>Examples XVII—Infinite series ; expansions ; higher order differentials<br/><br/>XVIII. Determinants, Linear Equations and Quadratic Forms<br/>18.1 The general notion of a determinant<br/>18.2 The definition of determinants of various orders<br/>18.3 Properties of determinants<br/>18.4 Minors and co-factors of determinants<br/>18.5 Linear and homogeneous functions of several variables<br/>18.6 The solution of linear equations<br/>18.7 Quadratic forms in two and three variables<br/>18.8 Examples of quadratic forms <br/>18.9 Two general results for quadratic forms<br/>Examples XVIII—Determinants ; linear equations ; quadratic forms<br/><br/>XIX. Further Problems of Maximum and Minimum Values<br/>19.1 Maximum and minimum values of a function of several variables<br/>19.2 Relative maximum and minimum values -<br/>19.3 Examples of maxirhum and minimum values -<br/>19.4 The stability of demand for factors of production<br/>19.5 Partial elasticities of substitution . . .<br/>19.6 Variation of demand for factors of production .<br/>19.7 The demand for consumers' goods (integrability case)<br/>19.8 Demands for three consumers' goods (general case)<br/>Examples XIX—General maximum and minimum problems ; economic maximum and minimum problems<br/><br/>XX. Some Problems m the Calculus of Variations<br/>20.1 The general theory of functionals<br/>20.2 The calculus of variations<br/>20.3 The method of the calculus of variations <br/>20.4 Solution of the simplest problem<br/>20.5 Special cases of Euler's equation<br/>20.6 Examples of solution by Euler's equation<br/>20.7 A dynamic problem of monopoly<br/>20.8 Other problems in the calculus of variations<br/>Examples XX—Problems in the calculus of variations<br/><br/>Index : <br/>Mathematical Methods<br/>Economic Applications<br/>Authors <br/> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Date last checked out | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 28/08/2016 | 330.0151 ALL/M | P00113 | 27/09/2018 | 27/09/2018 | General Books |