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.
• Algebra II for Dummies

Contents at a Glance:

Introduction
Chapter 1: Going Beyond Beginning Algebra
Chapter 2: Toeing the Straight Line: Linear Equations
Chapter 4: Rooting Out the Rational, Radical, and Negative
Chapter 5: Graphing Your Way to the Good Life
Chapter 6: Formulating Function Facts
Chapter 7: Sketching and Interpreting Quadratic Functions
Chapter 8: Staying Ahead of the Curves: Polynomials
Chapter 9: Relying on Reason: Rational Functions
Chapter 10: Exposing Exponential and Logarithmic Functions
Chapter 11: Cutting Up Conic Sections
Chapter 12: Solving Systems of Linear Equations
Chapter 13: Solving Systems of Nonlinear Equations and Inequalities
Chapter 14: Simplifying Complex Numbers in a Complex World
Chapter 15: Making Moves with Matrices
Chapter 16: Making a List: Sequences and Series
Chapter 17: Everything You Wanted to Know about Sets
Chapter 18: Ten Multiplication Tricks
Chapter 19: Ten Special Types of Numbers
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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.

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• 190 Activities that Make Mathematics Fun

There is something here for everyone. An overview of the sections includes:
•  Section 1, Essential Strategies for Whole Number Skills
•  Section 2, Getting to the Point with Decimals
•  Section 3, Fractions in the Learning Process
•  Section 4, Understanding Percents for Skill Development
•  Section 5, Money Concepts for the Modern Classroom
•  Section 6, Geometry and Measurement
•  Section 7, Charts and Graphs to Stimulate and Enrich
•  Section 8, Hooked on Ratio, Probability, and Averages
•  Section 9, Pre-Algebra and Early Algebra Skill Builders
Near the end of each section is a “Definition Puzzle” that checks students’ understanding of the math terms and concepts covered in the section. Completing this page is an excellent way to reinforce the skills, along with being a genuinely fun thing to do!

Each section concludes with a “Skills Mastery” test or tests. These tests serve to reinforce and evaluate the learning that has taken place.
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• 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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• Calculus II for Dummies

A comprehensive overview of Calculus II along with an in depth review of Calculus I. Mahobe recommends this book to anyone taking a Calculus class unless they happen to be an absolute math genius. Even then we are sure that the geniuses will get a kick out of the humor interlaced through out the book.

Contents of the Book:

Part I: Introduction to Integration
• Chapter 1: An Aerial View of the Area Problem
• Chapter 2: Dispelling Ghosts from the Past: A Review of Pre-Calculus and Calculus I
• Chapter 3: From Definite to Indefinite: The Indefinite Integral
Part II: Indefinite Integrals
• Chapter 4: Instant Integration: Just Add Water (And C)
• Chapter 5: Making a Fast Switch: Variable Substitution
• Chapter 6: Integration by Parts
• Chapter 7: Trig Substitution: Knowing All the (Tri)Angles
• Chapter 8: When All Else Fails: Integration with Partial Fractions
Part III: Intermediate Integration Topics
• Chapter 9: Forging into New Areas: Solving Area Problems
• Chapter 10: Pump up the Volume: Using Calculus to Solve 3-D Problems
Part IV: Infinite Series
• Chapter 11: Following a Sequence, Winning the Series
• Chapter 12: Where Is This Going? Testing for Convergence and Divergence
• Chapter 13: Dressing up Functions with the Taylor Series
• Chapter 14: Multivariable Calculus
• Chapter 15: What’s So Different about Differential Equations?
Part VI: The Part of Tens
• Chapter 16: Ten “Aha!” Insights in Calculus II
• Chapter 17: Ten Tips to Take to the Test
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• Intermediate Statistics for Dummies

This book is designed for people who want to be able to understand and interpret some of the more involved techniques in statistics, beyond medians and means, the Central Limit Theorem, and confidence intervals and hypothesis tests. The topics this time around are many flavors of regression (including simple, multiple, nonlinear, and logistic); ANOVA (one-way and two-way); Chi-square tests (for independence and goodness-of-fit); and nonparametric procedures. There is also interpretation of computer output for data analysis purposes and how to interpret the results found in the output. There are full explanations of intermediate statistical ideas. Throughout the book are many examples that use statistical software to analyze the data. In each case, the computer output is given as well as an explanation of how the output was achieved and what it means.

There are an extensive number of examples to cover the many different types of problems you will face. Lots of tips, strategies, and warnings. The setup of the book allows you to skip around and still have easy access and understanding of any given topic. The book uses understandable language and tries to keep things conversational to help you understand, remember, and practise statistical definitions, techniques, and processes. Finally there are clear and concise step-by-step procedures. In most chapters, you can find steps that intuitively explain how to work through intermediate statistics problems, and remember how to do it later on.
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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.