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The theorems and principles of basic geometry are clearly presented in this workbook, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry.
Advanced Geometry (ENHANCED eBook) by Janice Wendling Pdf
The theorems and principles of basic geometry are clearly presented in this workbook, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry.
Math Phonics - Pre-Geometry (ENHANCED eBook) by Marilyn B. Hein Pdf
Introduce basic terms and concepts with hands-on projects, wall charts, flash cards and math art pages. The comprehensive Math Phonics program uses rules, patterns and memory techniques similar to those found in language arts phonics and provides alternative or supplemental materials to help students understand, learn, appreciate and enjoy geometry. Also includes word problems and a section on metrics.
Geometry - Grades 7-10 (ENHANCED eBook) by Sara Freeman Pdf
This easy-to-use workbook is chock full of stimulating activities that will jumpstart your students' interest in geometry while providing practice with the major geometry concepts. A variety of puzzles, mazes, games, and self-check formats will challenge students to think creatively as they sharpen their geometry skills. Each page begins with a clear explanation of the featured geometry topic, providing extra review and reinforcement. A special assessment section is included at the end of the book to help students prepare for standardized tests. 48 pages
Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.
Graphs are usually represented as geometric objects drawn in the plane, consisting of nodes and curves connecting them. The main message of this book is that such a representation is not merely a way to visualize the graph, but an important mathematical tool. It is obvious that this geometry is crucial in engineering, for example, if you want to understand rigidity of frameworks and mobility of mechanisms. But even if there is no geometry directly connected to the graph-theoretic problem, a well-chosen geometric embedding has mathematical meaning and applications in proofs and algorithms. This book surveys a number of such connections between graph theory and geometry: among others, rubber band representations, coin representations, orthogonal representations, and discrete analytic functions. Applications are given in information theory, statistical physics, graph algorithms and quantum physics. The book is based on courses and lectures that the author has given over the last few decades and offers readers with some knowledge of graph theory, linear algebra, and probability a thorough introduction to this exciting new area with a large collection of illuminating examples and exercises.
The theorems and principles of basic geometry are clearly presented in this workbook, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry.
Beginning Algebra (ENHANCED eBook) by Beverly Nance Pdf
There are certain mistakes that students frequently make while learning algebra. This workbook clearly explains these mistakes so students can avoid them. Examples then illustrate the correct way of working an algebra problem, and practice problems are provided. Puzzles and games based on scientific formulas and interesting facts challenge students to think creatively. Self-checking exercises motivate students to finish each page while acquiring valuable algebraic skills.
The Unsinkable Sub (ENHANCED eBook) by Debbie Connolly,Laurie Danley Pdf
The perfect lifesaver for anytime you need to save the day! A rich resource that supports a wide range of content areas and curricular materials. Each of 10 chapters provides complete instructions and materials for a full day of organized, engaging, theme-based activities. Keep one on your desk as a resource for substitute teachers--and for you to turn to anytime a field trip gets rained out or a school assembly is cancelled at the last minute.
Word Problems - Grades 4-6 (ENHANCED eBook) by Milliken Publishing Pdf
The material in this book will provide sound practice in basic mathematical operations. Emphasis is placed on determining operations, working with graphs, money, time, averaging, measurement, volume, and percents. This workbook is designed to provide practice for the student and is compatible with classroom instruction. The pages are presented in a suggested order, but may be used in any order which best meets a child's needs. Parents who wish their children to have practice in word problems will find the book as helpful as classroom teachers will find it. The exercises are presented so that a child can work with a minimum of supervision. Answers are included in a four-page leaflet in the middle of the book. This leaflet can be easily removed.
Trigonometry - Grades 10-12 (ENHANCED eBook) by Marilyn Occhiogrosso Pdf
This easy-to-use workbook is full of stimulating activities that will give your students a solid introduction to trigonometry! A variety of puzzles and self-check formats will challenge students to think creatively as they work to build their trigonometric skills. Each page begins with a clear explanation of a featured trigonometric topic, providing extra review and reinforcement. A special assessment section is included at the end of the book to help students prepare for standardized tests.
The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective. Rather than describing deep learning as an implementation technique, as is usually the case in many existing deep learning books, here, deep learning is explained as an ultimate form of signal processing techniques that can be imagined. To support this claim, an overview of classical kernel machine learning approaches is presented, and their advantages and limitations are explained. Following a detailed explanation of the basic building blocks of deep neural networks from a biological and algorithmic point of view, the latest tools such as attention, normalization, Transformer, BERT, GPT-3, and others are described. Here, too, the focus is on the fact that in these heuristic approaches, there is an important, beautiful geometric structure behind the intuition that enables a systematic understanding. A unified geometric analysis to understand the working mechanism of deep learning from high-dimensional geometry is offered. Then, different forms of generative models like GAN, VAE, normalizing flows, optimal transport, and so on are described from a unified geometric perspective, showing that they actually come from statistical distance-minimization problems. Because this book contains up-to-date information from both a practical and theoretical point of view, it can be used as an advanced deep learning textbook in universities or as a reference source for researchers interested in acquiring the latest deep learning algorithms and their underlying principles. In addition, the book has been prepared for a codeshare course for both engineering and mathematics students, thus much of the content is interdisciplinary and will appeal to students from both disciplines.
Algebraic Geometry for Scientists and Engineers by Shreeram Shankar Abhyankar Pdf
This book, based on lectures presented in courses on algebraic geometry taught by the author at Purdue University, is intended for engineers and scientists (especially computer scientists), as well as graduate students and advanced undergraduates in mathematics. In addition to providing a concrete or algorithmic approach to algebraic geometry, the author also attempts to motivate and explain its link to more modern algebraic geometry based on abstract algebra.The book covers various topics in the theory of algebraic curves and surfaces, such as rational and polynomial parametrization, functions and differentials on a curve, branches and valuations, and resolution of singularities. The emphasis is on presenting heuristic ideas and suggestive arguments rather than formal proofs. Readers will gain new insight into the subject of algebraic geometry in a way that should increase appreciation of modern treatments of the subject, as well as enhance its utility in applications in science and industry.
