Dr John Kelliher: 156 books

This eBook introduces the subject of differentiation, across this wide-ranging subject, starting with definitions and first principles to developing an understanding and appreciation of the first and second order differentials of the equation y = xn through a development of the equations of the gradient...

This eBook reviews some advanced topics in algebra, including exploring the nature of polynomials, functions, equations and identity’s, examining the mathematical nomenclature used in multiplication and division. We consider multiplying out brackets, taking out common factors, manipulating algebraic...

This eBook introduces the subject of logarithms and exponentials, from the basic definition of logarithm, through the laws of logarithms, undertaking an assessment and an appreciation of exponential graphs, looking at the linear form of exponentials interspersed with a series of questions and worked examples.

This eBook introduces the graphs of sin and cos as well as their characteristics.This eBook is part of our range of Key Stage 4 (KS4) maths eBooks that are fully aligned with the UK Governments national curriculum.Our Key Stage 4 (KS4) maths eBooks comprise three principle sections. These are,...

This eBook introduces integers at Key Stage 2 (KS2), and introduces place value, multiplication and division of integers by 10, 100 and 1000, odd and even numbers, compares numbers (using symbols > and

This eBook introduces the student to data, what it is, what the types of data are, tables, diagrams, graphs and charts.This eBook is part of our range of Key Stage 4 (KS4) maths eBooks that are fully aligned with the UK Governments national curriculum.Our Key Stage 4 (KS4) maths eBooks...

This eBook introduces probability in general, events with independent and mutually exclusive outcomes, exhaustive events, the relationship between the probability of outcome ‘A’ and the probability of outcome ‘not A’, experimentation, expected outcomes, expected numbers, sample space diagrams,...

This eBook introduces the subject of counting practice at Grades 3, 4 & 5, introduces the numbers, hundreds, tens, units, number lines, negative numbers, counting on and back, counting on and back in 10’s and 100’s and counting on and back with number sequences.This eBook is part of our...

This eBook again introduces the student to number patterns and sequences, including odd and even numbers, square numbers, square roots, cube numbers, cube roots, prime numbers, linear sequences, square number and cube number sequences, Fibonacci number sequences, triangular number sequences and sequences...

This eBook introduces the topic of proportionality, from developing the relationship between mathematical expressions and word sentences, describing mathematical relationships and exploring direct and inverse proportionality through expressions and graphical illustrations.This eBook is part of our...

This eBook introduces probability in general, events with independent and mutually exclusive outcomes, exhaustive events, the relationship between the probability of outcome ‘A’ and the probability of outcome ‘not A’, experimentation, expected outcomes, expected numbers, sample space diagrams,...

This eBook introduces the sine and cosine rules, as they apply to any triangle, and apply the rules to solving various mathematics questions.This eBook is part of our range of Grades 9 & 10 math eBooks that are aligned with the North American math curriculum.Our Grades 9 & 10 math eBooks comprise...

This eBook introduces the subject of circle and circle geometry, introduces the equation of a circle, explores circle geometry, examines tangential lines to circles and their properties and equations, as well as exploring arc-length and sector area of circles where angles are represented in radians. Further, we include some elementary questions for the student to enjoy.

This eBook introduces the subject of algebra, considers the inverse operators of addition and subtraction, the inverse operators of multiplication and division, introduce equations, consider the order of operations (precedence) and examines solving simple equations.This eBook is part of our...