Download or read book Golden Trigonometry written by N. P. Bali and published by Firewall Media. This book was released on 2000* with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Learning Trigonometry By Problem Solving written by Alexander Rozenblyum and published by World Scientific. This book was released on 2021-06-25 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In addition, they serve to motivate and provide context for the concepts, definitions, and results as they are presented. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications. Some historical notes are also embedded in selected chapters.The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications. Taken together, the problems cover the entirety of material contained in a standard trigonometry course which is studied in high school and college.We have also added some interesting, in our opinion, entertainment problems. To solve them, no special knowledge is required. While they are not directly related to the subject of the book, they reflect its spirit and contribute to a more lighthearted reading of the material.
Download or read book Math and Art written by Sasho Kalajdzievski and published by CRC Press. This book was released on 2021-09-26 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. It includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire or generate art. Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Features Provides an accessible introduction to mathematics in art Supports the narrative with a self-contained mathematical theory, with complete proofs of the main results (including the classification theorem for similarities) Presents hundreds of figures, illustrations, computer-generated graphics, designs, photographs, and art reproductions, mainly presented in full color Includes 21 projects and approximately 280 exercises, about half of which are fully solved Covers Euclidean geometry, golden section, Fibonacci numbers, symmetries, tilings, similarities, fractals, cellular automata, inversion, hyperbolic geometry, perspective drawing, Platonic and Archimedean solids, and topology New to the Second Edition New exercises, projects and artworks Revised, reorganized and expanded chapters More use of color throughout
Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Download or read book Mathematics Its Historical Aspects Wonders And Beyond written by Arthur D Kramer and published by World Scientific. This book was released on 2022-06-29 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.The book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.
Download or read book The Mathematics of Harmony written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Golden Section written by Hans Walser and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Trigonometry a Very Short Introduction written by Glen Van Brummelen and published by Oxford University Press, USA. This book was released on 2020-01-23 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Born of the desire to understand the workings of motions of the heavenly bodies, trigonometry gave the ancient Greeks the ability to predict their futures. Most of what we see of the subject in school comes from these heavenly origins; 15th century astronomer Regiomontanus called it "the foot of the ladder to the stars." In this Very Short Introduction Glen Van Brummelen shows how trigonometry connects mathematics to science, and has today become an indispensable tool in predicting cyclic patterns like animal populations and ocean tides. Its historical journey through major cultures such as medieval India and the Islamic World has taken it through disciplines such as geography and even religious practice. Trigonometry has also been a major player in the most startling mathematical developments of the modern world. Its interactions with the concept of infinity led to Taylor and Fourier series, some of the most practical tools of modern science. The birth of complex numbers led to a shocking union of exponential and trigonometric functions, creating the most beautiful formulas and powerful modelling tools in science. Finally, as Van Brummelen shows, trigonometry allows us to explore the strange new worlds of non-Euclidean geometries, opening up bizarre possibilities for the shape of space itself. And indeed, one of those new geometries - spherical - takes us full circle back to ancient Greek astronomers and European navigators, who first used it to chart their ways across the heavens and the earth. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Download or read book Teaching Secondary School Mathematics Techniques And Enrichment written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-09-18 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.
Download or read book Maths for Chemistry written by Paul Monk and published by Oxford University Press. This book was released on 2021 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical skills and concepts lie at the heart of chemistry, yet they are the aspect of the subject that many students fear the most.Maths for Chemistry recognizes the challenges faced by many students in equipping themselves with the maths skills necessary to gain a full understanding of chemistry. Working from foundational principles, the book builds the student's confidence by leading them through the subject in a steady,progressive way from basic algebra to quantum mathematics.Opening with the core mathematics of algebra, logarithms and trigonometry, the book goes on to cover calculus, matrices, vectors, complex numbers, and laboratory mathematics to cover everything that a chemistry student needs. With its modular structure, the book presents material in short,manageable sections to keep the content as accessible and readily digestible as possible. Maths for Chemistry is the perfect introduction to the essential mathematical concepts which all chemistry students should master.
Download or read book Mathematics And Its Teaching In The Muslim World written by Bruce R Vogeli and published by World Scientific. This book was released on 2020-06-25 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology reviews the history, current states, and plans for the development of mathematics education in the Muslim States in Africa, the Middle East, and Asia. There is an introduction by Ahmed Djebbar, the most prominent contemporary scholar of Muslim mathematics. The chapters are written by respective national experts in mathematics education.
Download or read book Out of the Earth written by Butch Houchens and published by Trafford Publishing. This book was released on 2013-01-17 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: The poetry contained in this anthology is the culmination of over forty-five years of the author’s intimate interactions with the raw and refined elements of nature and a layman’s passionate record of the natural, human, and spiritual aspects of life. He masterfully uses vivid imagery and pleasing rhythms to transport the reader to places he won’t want to leave and won’t soon forget. This is a brilliantly insightful, awe-inspiring, and at times provocative book with the power to make you laugh and cry or possibly change how you look at the world we live in, your place within it, and the spirit that binds it all together.
Download or read book 100 Commonly Asked Questions in Math Class written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2013-09-12 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 100 ways to get students hooked on math! It happens to the best of us: that one question that’s got you stumped. Or maybe you have the answer, but it’s not all that compelling or convincing. Al Posamentier and his coauthors to the rescue with this handy reference containing fun answers to students’ 100 most frequently asked math questions. Even if you already have the answers, Al’s explanations are certain to keep kids hooked—and that’s what it’s all about. The questions are all organized around the Common Core’s math content standards and relate directly to Numbers and Quantity, Functions, Algebra, Geometry, and Statistics and Probability. The big benefits? You’ll discover high-interest ways to: • Teach inquiry and process in mathematical thinking • Encourage flexibility in problem solving • Emphasize efficient test-taking strategies • Provide practical applications from mathematics, education, and human development research • Build students’ procedural skills and conceptual understanding Use this complete resource to save time, anticipate questions, promote process and thinking, and present yourself as the math expert we know you are.
Download or read book The Golden Ages of the Dark Ages written by Dr. Nazry Bin Yahya and published by Partridge Publishing Singapore. This book was released on 2021-01-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Golden Ages of the Dark Ages is an exciting historical analysis about the civilizations and empires that exist around the globe during the European Dark Ages. The use of the maps in the chapters allows readers to visualize the civilizations development away from Europe. There are too many civilizations to compile. Thus, this book is based on two basic philosophies that the time line is limited only to the prominent civilizations within 500 CE to 1500 CE and also to have a minimum of 100 years of history. Readers too must acknowledge that there were many other great world civilizations within and outside of the time line. We can only pick a handful of the civilizations, traditions and empires. This is a factual book that might create further interests for readers to explore in depth some of the revelations. This book too is hoped to help readers to critically analyze their past readings as history has been proven to be distorted by some of the historians.
Download or read book Math for Real Life written by Jim Libby and published by McFarland. This book was released on 2017-01-26 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Where are we ever going to use this?” Every high school math student has asked this question. Often teachers themselves aren’t sure how to respond. One answer is that higher mathematics learned in high school will be essential to learning yet more at the college level. A more satisfactory answer calls for an awareness of how math is applied in many specific areas. Written primarily for teachers, this book presents hundreds of practical applications for mathematics—from baseball statistics to the theory of relativity—that can be understood by anyone with a knowledge of high school algebra, geometry and trigonometry.
Download or read book Challenging Problems in Trigonometry written by Demetrios P. Kanoussis and published by Golden Ratio Publications. This book was released on 2015-03-18 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trigonometry is an important branch of Mathematics. It provides an introduction to the important class of periodic functions, and develops methods and techniques for the evaluation of distances, angles, areas etc., both being extremely important tools for the analysis of theoretical and practical problems. The reader of this book, who is supposed to be familiar with elements from Trigonometry, Algebra, Equations and Complex Numbers, will greatly benefit from the included challenging problems and develop a better and deeper understanding of the subject. This book contains the fundamental trigonometric and hyperbolic functions, 25 challenging problems, along with their solutions and analysis.
Download or read book Topics in Mathematics For Elementary Teachers written by Sergei Abramovich and published by IAP. This book was released on 2024-01-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second (revised) edition of the book published in 2010 under the same title. It reflects the author’s experience teaching a graduate level mathematics content course for elementary teacher candidates at SUNY Potsdam since 2003. The book addresses a number of recommendations of the Conference Board of the Mathematical Sciences for the preparation of teachers demonstrating how abstract mathematical concepts can be motivated by concrete activities and the use of technology. Such approach to school mathematics makes it easier for teachers to grasp the meaning of generalization, formal proof, and the creation of an increasing number of concepts on higher levels of abstraction. The book’s computer-enhanced pedagogy and its strong experiential component enabled by the use of manipulative materials have the potential to reduce mathematics anxiety among teachers and help them develop confidence in teaching the subject matter through modeling and problem solving. Classroom observations of teachers’ learning mathematics as a combination of theory and experiment confirm that this approach elevates one’s mathematical understanding to a higher ground. Most of the chapters are motivated by a problem typically found in the elementary mathematics curricula and/or standards (either National or New York State – the context in which the author prepare teachers). By exploring traditional problems in depth, teachers can uncover fundamental mathematical concepts and ideas hidden within a seemingly mundane task. The need to have experience in going beyond traditional expectations for learning is due to the constructivist orientation of contemporary mathematics pedagogy that encourages students to ask questions about mathematics they study. Each chapter (except the last one) includes an activity set that can be used for the development of the variety of assignments for teachers. Digital tools used in the book include spreadsheets, Wolfram Alpha, GeoGebra, Kid Pix Studio Deluxe, and Graphing Calculator (Pacific Tech).
