Converting units using dimensional analysis is one aspect of chemistry that tends to give students trouble in the beginning stages of their education. It is the goal of this book to provide a simple pathway to mastering this extremely useful techniq READ MORE »
BrainMass Need to Know eBooks are printable PDF documents that offer detailed explanations of specific topics of interest. Each book is authored by an expert on the subject and offers summary information, step-by-step explanations, answers to common questions, and additional resources for further study.
Our authors hail from the best graduate schools in the world. All BrainMass eBooks are focused on a particular topic, ensuring that the content will be useful as well as applicable and practical. They are a fantastic resource for all students looking to improve their grades, or for anyone looking to improve their know-how.
What's Included in a Need to Know eBook
BrainMass "Need to Know" eBooks provide you with study-ready explanations of key concepts and ideas. Our books are authored by our Experts, who are also available to answer questions. Here's a quick rundown of what each of our academic eBooks features:
A Useful Introduction to the Concept
Each Expert takes the time to explain the nature of the concept, where it comes from and why it's relevant for those studying that subject. Often, a real-world example of why it's important is included. Our introductions "set the stage" for you to read on and learn everything you "need to know."
Key Points in their own Sections
Each "Need to Know" eBook will be broken down into a few different sections. Each individual section will be dedicated to one aspect of the book's topic, which when put together, will ensure you have a full understanding of the topic at hand.
Diagrams & Illustrations
Many of our Experts will include illustrations and visual aids to enhance their eBooks. Often, having a diagram can really help in making something easy to understand, so we encourage our authors to use them as much as they can.
A Glossary of Key TermsEvery subject of study has terms and expressions that are unique to that field. Our "Need to Know" eBooks help by providing a list of the most common terms and a definition for each one.
Additional Resources & ReferencesThose students who are looking for more information will always have a place to continue their research. Our Experts will provide you with helpful and interesting links that will expand your understanding of the topic in question.
BrainMass Need to Know academic eBooks are not only a fantastic way to get explanations of troublesome topics, but they also provide a great place to start studying a topic that's coming up in a class.
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Significant figures can be rather difficult for students to grasp. Why are they important? How are they used? The answers to these questions are not always readily understandable because they relate to practical lab aspects that are not always tau READ MORE »
This book teaches students the basics of differentiation, which is a large part of first-year calculus. The student is first instructed on how to compute derivatives of most elementary functions. Next, the student is taught basic rules for differenti READ MORE »
This book describes the main methods used to analytically solve first order ordinary differential equations (ODE). First order ODE equations are introduced including details of their classification by order and degree. The main analytical, techniques READ MORE »
The main focus of this book is how to solve general systems of linear equations. It also touches on matrices, but does not include more advanced topics in linear algebra, such as determinants, vector spaces, linear transformations, eigenvalues and ei READ MORE »
This book is a study guide for the set of complex numbers and basic operations on complex numbers. The imaginary unit i and the complex numbers are defined. Plotting numbers on the complex plane and representing complex numbers as vectors is illustr READ MORE »
This book is a study guide for solving exponential and logarithmic equations. As a prelude to this topic, the exponential and logarithmic functions are graphed and discussed. The properties of exponential and logarithmic expressions are also covered READ MORE »
This book on Basic Trigonometry is different from most because the goals here are (a) to start from facts we know and (b) not go everywhere and do everything, but to make sure that we have the skills to actually solve problems involving trigonometry READ MORE »
This book is a study guide for solving polynomial equations. As a prelude to this topic, polynomial functions are graphed and discussed. The different factoring techniques of polynomials are also covered and later used to solve equations. The secon READ MORE »
Polar coordinates are for locating all things circular. For example, suppose you want to draw 12 points on a circle for the hour markers on a clock. It is much much, much easier to describe their location using polar coordinates. Indeed, it is imposs READ MORE »
This book describes fractions and rational expressions. It provides definitions of the vocabulary needed to work with fractions and includes addition, subtraction, multiplication, and division of numerical fractions. It also explains how to work with READ MORE »
This book is a study guide and review for solving quadratic equations. As a prelude to this topic, quadratic functions are graphed and the different forms of quadratic functions are discussed and related to the graph. The second section shows four d READ MORE »
This book describes the development, uses, and implications of game theory in economics. Game theory is the systematic exploration of interactive, strategic decision-making. As such, it has applications in many fields, including biology, psychology, READ MORE »
Numerical mathematics is the way to solve mathematical problems in real life. With it, we find solutions that are "close enough". That is why numerical mathematics is an important part of any program of study requiring applied mathematics. So, of cou READ MORE »
This book describes constant rate word problems. Everything You Need to Know About Constant Rate Word Problems begins from perhaps the easiest concepts to work with: a speedometer, odometer, and clock. Students have a high comfort level with relating READ MORE »