Essentials Of Math

Textbook and self-study guide for students beginning to study mathematics requiring proof.

Provides structure and guidance to the teacher by means of speed drills, review exercises, teacher tips, word problems and new material for each day.

Math Essentials, High School Level gives high school math teachers the tools they need to help prepare all types of students (including gifted and learning disabled) for standards-based mathematics testing. This dynamic book covers thirty key objectives found in a typical secondary mathematics curriculum, including algebraic thinking; graphs, statistics and probability; linear and quadratic functions and their properties; and geometry and measurement with applications. Each objective contains three lessons: manipulative, pictorial, and independent practice. Lessons include worksheets or patterns and answer keys, and each section ends with a practice test and answer key.

This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations. Use of proven pedagogical techniques developed during the author’s 40 years of teaching experience New practice problems and exercises to enhance comprehension Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables

Essential Mathematics for Games and Interactive Applications, 2nd edition presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix multiplication and expands on this foundation to cover such topics as color and lighting, interpolation, animation and basic game physics. Essential Mathematics focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout. The new edition Windows code will now use Visual Studio.NET. There will also be DirectX support provided, along with OpenGL - due to its cross-platform nature. Programmers will find more concrete examples included in this edition, as well as additional information on tuning, optimization and robustness. The book has a companion CD-ROM with exercises and a test bank for the academic secondary market, and for main market: code examples built around a shared code base, including a math library covering all the topics presented in the book, a core vector/matrix math engine, and libraries to support basic 3D rendering and interaction.

The Essentials of High School Math was designed to help students learn the basics of mathematics that they are supposed to understand upon entering high school, as well as the fundamental lessons within Algebra, Geometry, and Statistics that students typically learn in ninth and tenth grade. It is specifically intended for students identified as possibly having trouble on an upcoming state-mandated math exam, or for those who have already failed such an exam and must re-take it. The book was created to include everything a student needs to study, practice, and learn the material that any high school student should know. It contains almost 1,000 problems for students to practice, and the lessons themselves contain about 100 questions from actual state exams that are thoroughly explained, along with hundreds of other examples. Each lesson is designed to cover one topic only so that students may learn and thoroughly understand that topic. Whether with the help of a teacher, tutor, parent, or even alone, any student should be able to read through a lesson and have a good understanding of it. The Essentials of High School Math is recommended for any student that needs help with math.

This book reviews math topics relevant to non-mathematics students and scientists, but which they may not have seen or studied for a while. These math issues can range from reading mathematical symbols, to using complex numbers, dealing with equations involved in calculating medication equivalents, the General Linear Model (GLM) used in e.g. neuroimaging analysis, finding the minimum of a function, independent component analysis, or filtering approaches. Almost every student or scientist, will at some point run into mathematical formulas or ideas in scientific papers that may be hard to understand, given that formal math education may be some years ago. In this book we will explain the theory behind many of these mathematical ideas and expressions and provide readers with the tools to better understand them. We will revisit high school mathematics and extend and relate this to the mathematics you need to understand the math you may encounter in the course of your research. This book will help you understand the math and formulas in the scientific papers you read. To achieve this goal, each chapter mixes theory with practical pen-and-paper exercises such that you (re)gain experience with solving math problems yourself. Mnemonics will be taught whenever possible. To clarify the math and help readers apply it, each chapter provides real-world and scientific examples. In this new edition, two new chapters covering statistics and differential equations have been added, which have been workshopped in the 'authors' popular lecture series in order to maximize the benefit for readers.

Illustrated workbook for learning, practicing, and mastering pre-algebra mathematics.