Books with author Joe Allen Brown

If you are doing the A Level in Further Maths you will need to cover more calculus and much of the material in this book is drawn from the various A level Further Maths syllabuses. It is assumed that you have already worked through Calculus 1 and Calculus 2 of the Cambridge Paperbacks in the A Level Maths Series. You should therefore have a reasonable understanding of both differentiation and integration. In this book we shall be building upon your acquired knowledge to further your understanding of the subject. As in the other books in the series, considerable emphasis will be placed upon the use of the Casio fx-991ES PLUS calculator. By now you will have already gained a proficient skill set in the use of this calculator for performing difficult calculations. The material for this book is drawn from the various A Level Further Maths syllabuses and a chapter on partial differentiation has been included.

Linear programming is part of a larger subject known as Operations Research which deals with methods of allocating resources in the most efficient way possible. In itself linear programming is a big subject and this book only covers a small part and serves as a brief introduction only.Linear programming problems relate to maximising or minimising resources, such as maximising the profit on a set of products or services. When first learning about linear programming you need to plot the constraints of your problem which derive from inequalities. From the plots you should then be able to maximise the objective function.In this book you are shown how you can use your fx-991ES calculator to perform linear programming calculations without having to resort to actually plotting functions yourself.

Mechanics forms substantial part of your A Level Mathematics course and your Casio fx-991ES Plus calculator will prove invaluable as you gain an understanding and working knowledge of the subject. In this, the first of two books on mechanics, you will find many of the subject areas you are likely to encounter in the classroom. When your maths teacher introduces you to mechanics, as each new topic is started, look up the relevant chapter in this this book (or Book 2). Use it alongside the material your teacher covers and the material in your maths course book. You will find that many of the problems you are asked to work through are covered in this book and you will be able to use the same Casio fx-991ES Plus keystrokes to help you solve the problems.

Being good at algebra is an essential skill for anyone who uses mathematics. This is especially true if you are pursuing an A Level in maths. You can say algebra is the most fundamental maths skill. This book will give you the opportunity of enhancing your algebraic skills together with building your proficiency on the fx-991ES calculator.As expected, in every example the keystrokes for your calculator are given. It’s a really good idea for you to repeat the same keystrokes so to strengthen your understanding of algebra. In particular this book will convince you that your fx-991ES calculator should be a constant companion as you work on algebraic problems.Graphs are also included in many of the Examples as these will help in furthering your understanding and insight into functions and their behaviour.

Modelling is an important skill to acquire as it’s applicable to many areas of engineering and science. It is fair to say that today, there is no scientific discipline which would not benefit from the use of mathematical modelling.To get you started in developing a modelling mindset, you will be introduced to the principle of the Cambridge Maths Method which is,1. Here is the problem.2. Construct a mathematical model.3. Put numbers into your model.4. Here is the result, change the numbers to see new results.This method is applied to the many examples throughout this book; for example, a mathematical model is derived to give the volume or area of a composite structure – a shape or structure is made up of fundamental components with which you are already familiar.The importance of putting numbers into your model and seeing it produce results cannot be overemphasised. This is where the Casio fx-991ES Plus calculator proves to be an invaluable resource in your learning experience. It’s therefore important for you to work through each example using your own fx-991ES calculator so you are able to perform the calculations yourself.

Welcome to Part 2 of this series on calculus where the focus will be on integration. Proficiency in performing integration comes as a result of practice and this book has many exercises for you to work through. As in Part 1, you should use this book to compliment the work you are given in the class room. You will need to have worked through Part1 of this two part set on differentiation in order to understand a number of the techniques which are discussed in Part 2. You will discover how to use the power of your Casio fx-991ES Plus to work through many integration problems. You will find that it’s a real asset in furthering your understanding of calculus.

Calculus is an important part of A Level Mathematics and Part 1 of this two series focuses on differentiation, althoughChapter 10 is on Series and Series Expansions. It’s assumed you have already gained a very high grade in GCSE Maths andyou have good basic skills in algebra and trigonometry. The Casio calculator you are recommended to have in order tomake the most of this book is the fx-991 ES PLUS which is shown on the cover of the book.

There have been many generations of school students who have benefited from the Helix Oxford set of Mathematical Instruments. If you learn how to use them properly, you also will gain a good knowledge of geometry which is vital for your gain a high grade in your GCSE Maths. Geometry is all about shapes and in this book you will be shown how to use your Mathematical Instruments to create many different 2D shapes. However it must be stressed it does take practice to get them right.

As you progress through your education you will be pursuing a maths course and the basic skill you need to acquire is algebra. This book will help you to build you maths skill set at the same time teach you to make effective use of your scientific calculator. In every example the keystrokes for your calculator are given, all you have to do is repeat the same keystrokes and you will get the correct answers. The more times you do this, the more confident you will become at using your calculator as a real resource in helping you to develop your algebraic skills. There are several examples on deriving equations for calculating the volume of geometric shapes and composites. These are valuable lessons as they introduce you to the world of mathematical modelling. Today there is a great need for these skills and this is an excellent place to start.This book therefore has many examples showing you how your fx-991ES calculator can be really useful in solving quite difficult maths problems. You will be pleased to know your maths skills are improving as you work through the examples.

A large part of your Key Stage 3 Maths course is on algebra and this book has been written to help you in your understanding of this subject. Algebra is not everyone’s favourite, however with the use of the Casio fx-991ES Plus calculator you will find the whole subject very accessible. To make the most of this book, you will definitely require one of these calculators as many of the solved problems contains the keystrokes you require to find the right answer. The fx-991ES calculator is suitable not only for Key Stage 3 but also Key Stage 4 and A Level Maths. If you are intending to progress onto an A Level course in maths you will find this calculator invaluable. There is also a wide selection of books from Cambridge Paperbacks on using the fx-991ES calculator on these courses. In order to gain a good understanding

Mathematical modelling is a highly desirable skill to have as it has applications across all areas of science, engineering and technology. Traditionally it has been a difficult skill to acquire owing to the problems of implementation. However armed with the Casio fx-991ES Plus calculator, it is surprising how much can be learned and achieved with this modestly costing device. There was a time when only engineering was all about numbers; now life sciences, biology in particular, is now making mathematical demands on its graduates. In particular the modelling of biological systems and their behaviour. A good mathematical skill set is therefore essential for all scientists. This book has been written to help you develop a modelling mindset as you progress through your A Level Maths course. The task of being able to express a problem in terms of equations and then perform calculations can be achieved with relative ease when using a scientific calculator.