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Applying Geometry to Everyday Life by Erik Richardson Pdf
The fundamental shapes of geometry can be built into the grand sweeps of the Sydney Opera House or something as small as a snowflake. This title takes geometric concepts like polygons, platonic solids, and angles and demonstrates their myriad appearances in the world around us. From the Great Pyramid of Giza to sinking a bank shot in pool, geometry abounds.
Applying Algebra to Everyday Life by Erik Richardson Pdf
Much more than finding x, algebra forms the basis to describe any process that has variation. Everyday numbers like money and time are common variables. In this book, key concepts from algebra, such as lines, polynomials and the quadratic formula, are shown at work in surprising applications including industrial baking, robotics, and the natural world.
The Mathematics of Everyday Life by Alfred S. Posamentier,Christian Spreitzer Pdf
Two experienced math educators help the average reader discover not only the everyday usefulness of math but the fun that comes from mastering the basics of arithmetic, algebra, geometry, and more. If you think of mathematics as a series of pointless classroom exercises without much relevance to real life, this book will change your mind. As the authors show, math is deeply embedded in almost every aspect of daily life--from managing your personal finances, making consumer purchases, and sharpening your computational skills, to learning to apply mathematical concepts that will give you a better grasp of both ordinary and extraordinary events and help you better appreciate the world we live in. With some basic geometry under your belt, you'll discover that there is an optimal point on a soccer field from which to shoot a goal. And you'll be more clever with the gears of a bike. If you like to play cards or go to the casino, knowing something about probability will give you an edge. You'll also have an enhanced understanding of the "whispering effect" inside the Capitol rotunda, why a car's headlights are so bright, and even why sewer covers are round. After reading this entertaining and instructive book, you'll come away with a whole new awareness of how elegantly mathematics explains everyday experiences and observations--from present day items to classical art and architecture.
Applying Number and Quantity to Everyday Life by Erik Richardson Pdf
Although we learn the fundamentals of counting and measuring in our early years, these concepts form the foundation of complex processes, from mountain climbing and skydiving to video game design. This title examines the seemingly simple ideas of number and quantity and shows how they are used in real life.
Applying Algebra to Everyday Life by Erik Richardson Pdf
Much more than finding x, algebra forms the basis to describe any process that has variation. Everyday numbers like money and time are common variables. In this book, key concepts from algebra, such as lines, polynomials and the quadratic formula, are shown at work in surprising applications including industrial baking, robotics, and the natural world.
The History of Mathematics: A Source-Based Approach by June Barrow-Green,Jeremy Gray,Robin Wilson Pdf
The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.
Learn geometry at your own pace What are congruent circles? How do you find the hypotenuse of a triangle? What is the sum of the angles in a decagon? How can you apply geometric equations to your daily life? With the unbeatable study companion Geometry: A Self-Teaching Guide, you'll discover the answers to these questions and many more. This thorough primer presents an easy-to-follow, proven method for grasping the key concepts of geometry. You'll progress step by step through plane, solid, and analytic geometry and then move on to geometric applications for calculus. You'll build your problem-solving skills along the way through detailed examples, reviews, exercises, and answer explanations. The clearly structured format of Geometry makes it fully accessible, providing an easily understood, comprehensive overview for everyone from high school students to adult learners to math mavens. Like all Self-Teaching Guides, Geometry allows you to build gradually on what you have learned-at your own pace. Questions and self-tests reinforce the information in each chapter and allow you to skip ahead or focus on specific areas of concern. Packed with useful, up-to-date information, this clear, concise volume is a valuable learning tool and reference source for anyone who wants to improve his or her understanding of basic geometry.
Dr. K. Sharath Babu, M.SC, Ph.D., Professor of Mathematics,Mr V. Nagaraju,Dr. Hemalatha N. C,Geena Johnson
Author : Dr. K. Sharath Babu, M.SC, Ph.D., Professor of Mathematics,Mr V. Nagaraju,Dr. Hemalatha N. C,Geena Johnson Publisher : Shineeks Publishers Page : 113 pages File Size : 41,7 Mb Release : 2023-12-21 Category : Education ISBN : 9798889409564
Mathematics in Everyday Life: The Hidden Language of the World by Dr. K. Sharath Babu, M.SC, Ph.D., Professor of Mathematics,Mr V. Nagaraju,Dr. Hemalatha N. C,Geena Johnson Pdf
“Mathematics in Everyday Life -The hidden Language of the World” is a textbook for Undergraduate and Post Graduate students to develop problem solving skills with the advent of logical thinking. Here the authors’ objective is how mathematics will be useful in the fields we come across in Science, Economics, Engineering and Technology by keeping the syllabi of various prestigious universities. The major subfields it covers Mathematical modeling, model theory, proof theory, set theory, recursion theory, Financial Mathematics, Statistics and probability in decision-making, Mathematics in Technology and Communication Engineering etc.,. It also useful in Cryptography and Encryption, Algorithm and coding development. Here the authors were focused on mathematical theory which is a mathematical model of a branch of mathematics that is based on a set of axioms and they emphasized, it can also concurrently be a body of knowledge. This textbook has been written with great effort made by referring text books written on the modern trend of Applicable Mathematics. The topics covered in this book are practical for a scholar who starts learning education in Economics, Sciences ,Technology & Engineering fields.. The mathematical concepts are written from the basic level to reach out to a wide range of student fraternities and teachers in every walk of life more particularly in industrial-related challenging problems
An excellent educational approach which naturally integrates a Christian world view and scriptural principles, "Teaching Children" draws on noted English educator Charlotte Mason and the Child-Light approach to learning. Child-Light puts children in touch with fine literature and teaches them through the use of "living books". Introduction by Susan Schaeffer Macaulay.
Helping Children Learn Mathematics, 3rd Australian Edition by Robert Reys,Mary Lindquist,Diana V. Lambdin,Nancy L. Smith,Anna Rogers,Audrey Cooke,Sue Bennett,Bronwyn Ewing,John West Pdf
The third edition of Reys’ Helping Children Learn Mathematics is a practical resource for undergraduate students of primary school teaching. Rich in ideas, tools and stimulation for lessons during teaching rounds or in the classroom, this edition continues to provide a clear understanding of how to navigate the Australian Curriculum, with detailed coverage on how to effectively use Information and Communications Technology (ICT) in the classroom. This is a full colour printed textbook with an interactive eBook code included. Great self-study features include: auto-graded in-situ knowledge check questions, video of teachers demonstrating how different maths topics can be taught in the classroom and animated, branched chain scenarios are in the e-text.
The Book Continues To Cover The Syllabus Of A One-Year Course On Probability Theory. The Rigorous Axiomatic Approach Continues To Be Followed. For Those Who Plan To Apply Probability Models In Their Chosen Areas The Book Will Provide The Necessary Foundation. For Those Who Want To Proceed To Work In The Area Of Stochastic Processes, The Present Work Will Provide The Necessary Preliminary Background. It Can Be Used By Probabilists, Statisticians And Mathematicians. In The Present Revised Edition Many Concepts Have Been Elaborated. Clarifications Are Given For A Number Of Steps In The Proofs Of Results Derived. Additional Examples And Problems Are Given At The End Of Different Chapters. An Additional Preliminary Chapter Has Been Added So That Students Can Recapitulate The Topics Normally Covered In The Undergraduate Courses. It Also Forms The Foundation For Topics Covered In The Remaining Chapters. The Third Edition Incorporates The Suggestions For Improvements Received By The Author When The Earlier Editions Were In Circulation. With The Additional Features And Most Of The Errors Weeded Out, The Book Is Hoped To Become More Useful In The Hands Of Students And Teachers.
Intuition and the Axiomatic Method by Emily Carson,Renate Huber Pdf
Following developments in modern geometry, logic and physics, many scientists and philosophers in the modern era considered Kant’s theory of intuition to be obsolete. But this only represents one side of the story concerning Kant, intuition and twentieth century science. Several prominent mathematicians and physicists were convinced that the formal tools of modern logic, set theory and the axiomatic method are not sufficient for providing mathematics and physics with satisfactory foundations. All of Hilbert, Gödel, Poincaré, Weyl and Bohr thought that intuition was an indispensable element in describing the foundations of science. They had very different reasons for thinking this, and they had very different accounts of what they called intuition. But they had in common that their views of mathematics and physics were significantly influenced by their readings of Kant. In the present volume, various views of intuition and the axiomatic method are explored, beginning with Kant’s own approach. By way of these investigations, we hope to understand better the rationale behind Kant’s theory of intuition, as well as to grasp many facets of the relations between theories of intuition and the axiomatic method, dealing with both their strengths and limitations; in short, the volume covers logical and non-logical, historical and systematic issues in both mathematics and physics.
Transformational Plane Geometry by Ronald N. Umble,Zhigang Han Pdf
Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein’s Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid’s purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer’s Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.
Helping Students Understand Geometry, Grades 7 - 12 by Barbara R. Sandall, Ed.D.,Mary Swarthout, Ph.D. Pdf
Help students make the transition from math to geometry with activities that simplify geometric concepts, step-by-step instructions with examples, practice problems, real-life applications, a list of symbols and terms, tips, answer keys, and references. Use as a full unit, a supplement to the curriculum, or a tutorial that students can take home to reinforce classroom lessons. Supports NCTM standards.