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Trick or Truth?
by Anthony Aguirre Brendan Foster Zeeya MeraliThe prize-winning essays in thisbook address the fascinating but sometimes uncomfortable relationship betweenphysics and mathematics. Ismathematics merely another natural science? Or is it the result of humancreativity? Does physics simply wear mathematics like a costume, or is math thelifeblood of physical reality? The nineteen wide-ranging, highly imaginative and oftenentertaining essays are enhanced versions of the prize-winning entries to theFQXi essay competition "Trick or Truth", which attracted over 200 submissions. The Foundational QuestionsInstitute, FQXi, catalyzes, supports, and disseminates research on questions atthe foundations of physics and cosmology, particularly new frontiers andinnovative ideas integral to a deep understanding of reality, but unlikely tobe supported by conventional funding sources.
Trigonometric Delights
by Eli MaorTrigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights.Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry. He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles.Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.
Trigonometric Sums and Their Applications
by Michael Th. Rassias Andrei RaigorodskiiThis volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. Fundamental and new developments are presented to discern solutions to problems across several scientific disciplines. Graduate students and researchers will find within this book numerous examples and a plethora of results related to trigonometric sums through pure and applied research along with open problems and new directions for future research.
Trigonometrie kompakt für Dummies (Für Dummies)
by Mary Jane SterlingDas Wichtigste über Sinus, Cosinus und Tangens Die Trigonometrie ist Grundlage für viele andere Bereiche der Mathematik und gerade deshalb sollten Sie sie nie aus den Augen verlieren. Mit Trigonometrie kompakt für Dummies lernen Sie, was Sie über Sinus, Cosinus und Tangens unbedingt wissen sollten. So leicht verständlich wie möglich versucht Mary Jane Sterling Ihnen ihre Begeisterung für Mathematik zu vermitteln, und so ist dies das perfekte Buch für den schnellen Einstieg in die Trigonometrie.
Trigonometry
by Michael CorralThis book covers elementary trigonometry. It is suitable for a one-semester course at the college level, though it could also be used in high schools. The prerequisites are high school algebra and geometry.
Trigonometry (Gelfand School Outreach Program)
by I. M. Gelfand Mark SaulIn a sense, trigonometry sits at the center of high school mathematics. <p><p> It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of science. It is a very old subject. Many of the geometric results that we now state in trigonometric terms were given a purely geometric exposition by Euclid. Ptolemy, an early astronomer, began to go beyond Euclid, using the geometry of the time to construct what we now call tables of values of trigonometric functions. <p><p> Trigonometry is an important introduction to calculus, where one studies what mathematicians call analytic properties of functions. One of the goals of this book is to prepare you for a course in calculus by directing your attention away from particular values of a function to a study of the function as an object in itself. This way of thinking is useful not just in calculus, but in many mathematical situations. So trigonometry is a part of pre-calculus, and is related to other pre-calculus topics, such as exponential and logarithmic functions, and complex numbers.
Trigonometry
by Jerome D. Hayden Bettye C. HallUsing your trigonometry book effectively will help you to develop your mathematical power. Each lesson begins with a Preview that connects trigonometry to a familiar topic or reviews essential skills you will need in the upcoming lesson. Completely worked-out examples contain instructions to help you to successfully complete your assignments. New concepts are highlighted for easy reference. The technology logo and graphing calculator screens throughout the book identify when using technology is beneficial to and appropriate for the development of concepts. <p><p>In addition, Technology Lessons provide you with alternative methods for exploring trigonometry. A graphing calculator is a valuable tool to use with this course. It has all the capabilities of a scientific calculator, plus you can plot and graph functions on the display screen, view formulas and solutions in their entirety, zoom in and trace graphs, and more. Application Lessons provide a look at how trigonometry is applied and used in daily life. Practice Exercises build a solid foundation of trigonometry skills. Thinking Critically--helps improve your reasoning skills. Applications connects trigonometry to daily life and to other topics. Writing in Mathematics activities help you to acquire communication skills. Mixed Review at the end of chapters helps you to remember the skills and concepts already learned.
Trigonometry
by Ron Larson David C. FalvoThis market-leading book continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares users to study calculus, the new Eighth Edition retains the features that have made Trigonometry a complete solution for users: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.
Trigonometry
by Ron Larson Robert Hostetler David C. FalvoThis text introduces trigonometry first with a unit circle approach and then with the right triangle. As the best-selling text in the field, Trigonometry provides unparalleled exercises, motivating real-life applications, a supportive pedagogical design, and innovative ancillaries and resources, making it a complete solution for both students and instructors. Model It real-life applications in nearly every text section are multi-part exercises that require students to generate and analyze mathematical models. First referenced in the Why You Should Learn It at the beginning of each section, these interesting applications illustrate why it is important to learn the concepts in each section. Proofs in Mathematics shows the proofs of selected theorems and demonstrates different proof techniques. For added convenience, in the Sixth Edition these proofs have been moved from an appendix to the end of relevant chapters. P. S. Problem Solving, at the conclusion of each chapter, features a collection of thought-provoking and challenging exercises that further explore and expand upon the concepts of the chapter. These exercises have unique characteristics that set them apart from traditional algebra and trigonometry exercises. A wealth of student success tools includes: How to Study This Chapter, a chapter-opening study guide that includes What you should learn (section-opening objectives), Important Vocabulary, a list of Study Tools, and a list of Additional Resources to help the student prepare for the chapter; Why you should learn it, a section-opening, real-life application or a reference to other branches of mathematics, illustrating the relevance of the section's content; and What did you learn?, a concise chapter summary organized by section. These objectives are correlated to the chapter Review Exercises to help students prepare for exams. Eduspace is Houghton Mifflin's online learning tool. Powered by Blackboard, Eduspace is a customizable, powerful and interactive platform that provides instructors with text-specific online courses and content. The Larson/Hostetler Trigonometry course features algorithmic exercises and test bank content in question pools.
Trigonometry
by Margaret L. Lial Callie Daniels John Hornsby David I. SchneiderTrigonometry, Tenth Edition, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Tenth Edition, the authors adapt to the new ways in which students are learning, as well as the ever-changing classroom environment.
Trigonometry
by Charles P. Mckeague Mark D. TurnerGain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner's TRIGONOMETRY, Sixth Edition. This book's proven approach presents contemporary concepts in brief, manageable sections using current, detailed examples and interesting applications. Captivating illustrations drawn from Lance Armstrong's cycling success, the Ferris wheel, and even the human cannonball show trigonometry in action. Unique Historical Vignettes offer a fascinating glimpse at how many of the central ideas in trigonometry began.
Trigonometry: A Complete Introduction
by Hugh NeillTrigonometry: A Complete Introduction is the most comprehensive yet easy-to-use introduction to Trigonometry. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of trigonometry including the theory and equations of tangent, sine and cosine, using trigonometry in three dimensions and for angles of any magnitude, and applications of trigonometry including radians, ratio, compound angles and circles related to triangles. Everything you will need is here in this one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.
Trigonometry: Teach Yourself
by Hugh NeillTrigonometry: A Complete Introduction is the most comprehensive yet easy-to-use introduction to Trigonometry. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of trigonometry including the theory and equations of tangent, sine and cosine, using trigonometry in three dimensions and for angles of any magnitude, and applications of trigonometry including radians, ratio, compound angles and circles related to triangles. Everything you will need is here in this one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.
Trigonometry: The Easy Way to Learn Trig
by Hugh NeillTrigonometry: A Complete Introduction is the most comprehensive yet easy-to-use introduction to Trigonometry. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of trigonometry including the theory and equations of tangent, sine and cosine, using trigonometry in three dimensions and for angles of any magnitude, and applications of trigonometry including radians, ratio, compound angles and circles related to triangles. Everything you will need is here in this one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.
Trigonometry
by David I. Schneider E. John Hornsby Margaret L. LialOver the years, the text has been shaped and adapted to meet the changing needs of both students and educators. As always, special care was taken to respond to the specific suggestions of users and reviewers through enhanced discussions, new and updated examples and exercises, helpful features, and an extensive package of supplements and study aids. The result is an easy-to-use, comprehensive text that is the best edition yet.
Trigonometry: A Unit Circle Approach (9th Edition)
by Michael SullivanMike Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. In the Ninth Edition, Trigonometry: A Unit Circle Approach has evolved to meet today’s course needs, building on these hallmarks by integrating projects and other interactive learning tools for use in the classroom or online.
Trigonometry: A Unit Circle Approach (8th Edition)
by Michael SullivanThis textbook helps students build the knowledge and skills they need to be successful in trigonometry. It contains a number of theorems, definitions, procedures, and equations. The lessons include Graphs and Functions, Trigonometric Functions, Analytic Trigonometry, Applications of Trigonometric Functions, Polar Coordinates Vectors, Analytic Geometry, Exponential and Logarithmic Functions, etc.
Trigonometry
by Cynthia Y. YoungEngineers trying to learn trigonometry may think they understand a concept but then are unable to apply that understanding when they attempt to complete exercises. This innovative book helps them overcome common barriers to learning the concepts and builds confidence in their ability to do mathematics. The second edition presents new sections on modeling at the end of each chapter as well as new material on Limits and Early Functions. Numerous Parallel Words and Math examples are included that provide more detailed annotations using everyday language. Your Turn exercises reinforce concepts and allow readers to see the connection between the problems and examples. Catch the Mistake exercises also enable them to review answers and find errors in the given solutions. This approach gives them the skills to understand and apply trigonometry.
Trigonometry (5th Edition)
by Ron Larson Robert P. HostetlerAs the best-seller in its field, "Trigonometry, 5/e, offers both instructors and students a more solid, comprehensive, and flexible program than ever before. Designed for the one- or two-term precalculus course, the text introduces trigonometry first with a unit circle approach and then with the right triangle. For a complete listing of features, see Larson/Hostetler, "College Algebra, 5/e.
Trigonometry (6th Edition)
by Michael SullivanA proven motivator for readers of diverse mathematical backgrounds, this book explores mathematics within the context of real life using understandable, realistic applications consistent with the abilities of any reader. Graphing techniques are emphasized, including a thorough discussion of polynomial, rational, exponential, and logarithmic functions and conics. Includes Case Studies; New design that utilizes multiple colors to enhance accessibility; Multiple source applications; Numerous graduated examples and exercises; Discussion, writing, and research problems; Important formulas, theorems, definitions, and objectives; and more. For anyone interested in trigonometry.
Trigonometry Enhanced with Graphing Utilities (3rd Edition)
by Michael Sullivan"The Sullivan Enhanced with Graphing Utilities" series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage of trigonometric functions and their applications, analytic trigonometry, polar coordinates and vectors, and exponential and logarithmic functions. For anyone who needs to brush up on everyday or business-related mathematics.
Trigonometry For Dummies
by Mary Jane SterlingA plain-English guide to the basics of trigTrigonometry deals with the relationship between the sides and angles of triangles... mostly right triangles. In practical use, trigonometry is a friend to astronomers who use triangulation to measure the distance between stars. Trig also has applications in fields as broad as financial analysis, music theory, biology, medical imaging, cryptology, game development, and seismology.From sines and cosines to logarithms, conic sections, and polynomials, this friendly guide takes the torture out of trigonometry, explaining basic concepts in plain English and offering lots of easy-to-grasp example problems. It also explains the "why" of trigonometry, using real-world examples that illustrate the value of trigonometry in a variety of careers.Tracks to a typical Trigonometry course at the high school or college levelPacked with example trig problemsFrom the author of Trigonometry Workbook For DummiesTrigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry.
Trigonometry For Dummies
by Mary Jane SterlingMake trigonometry as easy as 1-2-3 Believe it or not, trigonometry is easier than it looks! With the right help, you can breeze through your next trig class, test, or exam and be ready for your next math challenge. In Trigonometry For Dummies, you’ll learn to understand the basics of sines, cosines, and tangents, graph functions, solve tough formulas, and even discover how to use trig outside the classroom in some cool and interesting ways. Ditch the confusing jargon and take a plain-English tour of one of the most useful disciplines in math. In this lifesaving guide, you’ll learn how to: Graph trig functions, including sine, cosine, tangent, and cotangent functions Understand inverse trig functions and solve trig equations Relate triangles to circular functions and get a handle on basic identitiesSo, whether you’re looking for an easy-to-use study guide, to boost your math grade, or get a refresher on some basic trig concepts after a long absence from studying, Trigonometry For Dummies is your ticket to understanding the mathematical mysteries of the triangle.
Trigonometry Refresher (Dover Books On Mathematics Ser.)
by A. Albert KlafThis classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format. Its 913 specially selected questions appear with detailed answers that help readers refresh their trigonometry skills or clear up difficulties in particular areas. Questions and answers in the first part discuss plane trigonometry, proceeding to examinations of special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. The final section explores spherical trigonometry and the solution of spherical triangles, with applications to terrestrial and astronomical problems. Readers can test their progress with 1,738 problems, many of which feature solutions. 1946 edition. 494 figures.