Further elementary analysis

This resource, published by G Bell and Sons Ltd is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. Its main focus is with the development and applications of calculus, together with the necessary parallel developments in other branches of mathematics. In order to attain the object of a single book to cover a complete course in Pure Mathematics, some additional topics such as Choice and Chance are included.

Contents

Chapter I - Permutations and combinations; elementary probability

Chapter II - Logarithms, logarithmic and exponential functions

Chapter III - Power series; derivation and use of exponential, logarithmic and trigonometrical series

Chapter IV - Finite algebraic series

Chapter V - Definite integration as a summation; geometrical applications

Chapter VI - Further applications of definite integration

Chapter VII - Solution of equations

Chapter VIII - Inequalities

Chapter IX - Equations of a curve; elementary curve tracing

Chapter X - Analytical geometry; the straight line

Chapter XI - The circle

Chapter XII - The parabola

Chapter XIII - The ellipse

Chapter XIV - The hyperbola

Chapter XV - Inverse circular and hyperbolic functions

Chapter XVI - Partial fractions and their applications

Chapter XVII - Further methods of integration and standard types of integral

Chapter XVIII - Differential properties of plane curves; curvature

Chapter XIX - Differential equations

Chapter XX - Complex numbers

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Further elementary analysis: chapters 1 to 4

This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus, together with the necessary parallel developments in other branches of...
Publication date:
1960 - 1969

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Further elementary analysis: chapters 5 to 10

This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus together with the necessary parallel developments in other branches of...
Publication date:
1960 - 1969

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Further elementary analysis: chapters 11 to 15

This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus together with the necessary parallel developments in other branches of...
Publication date:
1960 - 1969

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Further elementary analysis: chapters 16 to 20

This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus together with the necessary parallel developments in other branches of...
Publication date:
1960 - 1969

2 files

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Not yet rated

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