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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.
"More than ever before, modern social scientists require a basic level of mathematical literacy, yet many students receive only limited mathematical training prior to beginning their research careers. This textbook addresses this dilemma by offering a comprehensive, unified introduction to the essential mathematics of social science. Throughout the book the presentation builds from first principles and eschews unnecessary complexity. Most importantly, the discussion is thoroughly and consistently anchored in real social science applications, with more than 80 research-based illustrations woven into the text and featured in end-of-chapter exercises. Students and researchers alike will find this first-of-its-kind volume to be an invaluable resource."--BOOK JACKET.
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
Complete support for thorough test preparation Fully aligned to the National Numeracy Strategy Framework this KS2 Maths revision guide is for levels 3-5 inclusive. The guide provides a concise summary of the work covered through Years 3-6 and covers all the skills which may be tested in the end of KS2 National Curriculum Tests (SAT'S). âe¢ Ensures complete coverage of all National Curriculum Test content âe¢ A user-friendly layout, simple language, diagrams and colour enhances understanding âe¢ Tasks and practice questions are included throughout to test and reinforce knowledge.
Covering levels 3-6, this is a generic revision guide for key stage 3 maths.
Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.
Vedic mathematics is an ancient technique consisting of sixteen sutras and sixteen sub-sutras. It simplifi es not only the fundamental arithmetic operations, such as multiplication and division, but also more advanced concepts such as simultaneous equations, quadratic equations, the factorization of cubic equations, and so on. Th is mathematical technique is rapidly emerging as a tool for students appearing in various competitive examinations, including CAT, MAT, XAT, SAT, engineering and banking examinations, where speed and accuracy play a vital role. As a bonus for students, Rajesh Kumar Th akur has also included in this book chapters for CBSE and ICSE board examinations. Written in simple and lucid language, Th e Essentials of Vedic Mathematics has been designed to benefi t the maximum number of readers. Now you can comprehend the basics of Vedic mathematics without any help from experts.
Get Better Results with high quality content, exercise sets, and step-by-step pedagogy! Tyler Wallace continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra. The text reflects the compassion and insight of its experienced author with features developed to address the specific needs of developmental level students. Throughout the text, the author communicates to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. The exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.
Using national and state standards to guide your math program is just a start. You still have to decide how to apply the standards in your curriculum, determine when students should learn different content, and decide which programs and textbooks will help you make math come alive in the classroom. That's where this new ASCD resource comes in. Priorities in Practice: The Essentials of Mathematics Grades 7-12 explores how educators--from classroom teachers to central office administrators--are tackling these major challenges in math education: * Emphasizing algebraic thinking, problem solving, and communication * Relying on research to guide the implementation of new teaching practices * Connecting math activities to larger purposes and everyday experiences * Differentiating instruction based on students' learning styles, interests, and readiness levels * Helping teachers use classroom assessment to guide instruction * Improving math teaching practices through teacher professional development and analysis of student work. Whether you're working with an established math curriculum or rethinking your whole approach, here's an opportunity to see where your program stands in the context of current trends. This is the second volume in a new series from ASCD that explores tested methods of teaching and administrating curriculum in the major content areas.
Presents a comprehensive generic revision guide for key stage 3 maths, and covers levels 5-8.