Textbooks
Need to read more about a particular mathematical topic or find how to calculate a specific type of problem? Download one of these textbooks and you can then find that section or chapter that is specific to your needs.
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Mathematics For The Next Generation
Mathematics For the Next Generation was originally written for New Zealand Year 11 examination classes. It features dozens of examples to study and exercises to work through. The book is loaded with tips and techniques for answering all common exam-type questions. There are also a series of reviews and extra challenges. It is a good revision book leading up to exams.
The book features 8 chapters from number, measurement, shape and space, transformation geometry, algebra, graphs, statistics and probability. Use this book for homework, for revision or of you didn't understand a concept. -
Calculus
If you do not understand your existing textbook then this is an excellent book to start reading.
Contents- Rates of Change: Change in discrete steps, Two sides of the same coin, Some guesses
- Continuous change: A derivative, Properties of the derivative, Higher-order polynomials, The second derivative, Maxima and minima
- Infinity and beyond! Infinitesimals, Safe use of infinitesimals, The product rule, The chain rule, Exponentials and logarithms, The exponential, The logarithm, Quotients, Differentiation on a computer, Continuity, Limits, L’H opital’s rule, Another perspective on indeterminate forms.
- Integration: Definite and indefinite integrals, The fundamental theorem of calculus, Properties of the integral, Applications, Averages, Work, Probability.
- Techniques: Newton’s method, Implicit differentiation, Taylor series, Methods of integration, Change of variable, Integration by parts, Partial fractions
- Complex number techniques: Review of complex numbers, Euler’s formula, Partial fractions revisited.
- Improper integrals: Integrating a function that blows up, Limits of integration at infinity.
- Iterated integrals: Integrals inside integrals, Applications, Polar coordinates, Spherical and cylindrical coordinates
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Maths Survival Guide
This friendly self-help workbook covers mathematics essential to first-year university scientists and engineers. In this second edition the author has completely revised the text and added a totally new chapter on vectors.
Mathematics underpins all science and engineering degrees, and this may cause problems for students whose understanding of the subject is weak. In this book Jenny Olive uses her extensive experience of teaching and helping students by giving a clear and confident presentation of the core mathematics needed by students starting science or engineering courses. Each topic is introduced very gently, beginning with simple examples that bring out the basics,and then moving on to tackle more challenging problems. The author takes the time to explain the tricks of the trade and also shortcuts, but is careful to explain common errors allowing students to anticipate and avoid them.
The book contains more than 820 exercises, with detailed solutions given in the back to allow students who get stuck to see exactly where they have gone wrong. Topics covered include trigonometry and hyperbolic functions, sequences and series (with detailed coverage of binomial series), differentiation and integration, complex numbers, and vectors.
This self-study guide to introductory mathematics will be invaluable to students who want to brush up on the subject before starting their course, or to help them develop their skills and understanding while at technical institute or university.
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