Download or read book Geometry with Trigonometry written by Patrick D Barry and published by Woodhead Publishing. This book was released on 2015-12-24 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry with Trigonometry Second Edition is a second course in plane Euclidean geometry, second in the sense that many of its basic concepts will have been dealt with at school, less precisely. It gets underway with a large section of pure geometry in Chapters 2 to 5 inclusive, in which many familiar results are efficiently proved, although the logical frame work is not traditional. In Chapter 6 there is a convenient introduction of coordinate geometry in which the only use of angles is to handle the perpendicularity or parallelism of lines. Cartesian equations and parametric equations of a line are developed and there are several applications. In Chapter 7 basic properties of circles are developed, the mid-line of an angle-support, and sensed distances. In the short Chaper 8 there is a treatment of translations, axial symmetries and more generally isometries. In Chapter 9 trigonometry is dealt with in an original way which e.g. allows concepts such as clockwise and anticlockwise to be handled in a way which is not purely visual. By the stage of Chapter 9 we have a context in which calculus can be developed. In Chapter 10 the use of complex numbers as coordinates is introduced and the great conveniences this notation allows are systematically exploited. Many and varied topics are dealt with , including sensed angles, sensed area of a triangle, angles between lines as opposed to angles between co-initial half-lines (duo-angles). In Chapter 11 various convenient methods of proving geometrical results are established, position vectors, areal coordinates, an original concept mobile coordinates. In Chapter 12 trigonometric functions in the context of calculus are treated. New to this edition: The second edition has been comprehensively revised over three years Errors have been corrected and some proofs marginally improved The substantial difference is that Chapter 11 has been significantly extended, particularly the role of mobile coordinates, and a more thorough account of the material is given Provides a modern and coherent exposition of geometry with trigonometry for many audiences across mathematics Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for many chapters Generalizations of this material, such as to solid euclidean geometry and conic sections, when combined with calculus, would lead to applications in science, engineering, and elsewhere
Download or read book Geometry and Trigonometry for Calculus written by Peter H. Selby and published by . This book was released on 1975-05-02 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: A review of plane geometry, numerical trigonometry, geometric and trigonometric analysis, and limits emphasizes the graphic representation of problems to be solved by combined methods.
Download or read book Precalculus Mathematics in a Nutshell Geometry Algebra Trigonometry written by George F. Simmons and published by Wipf and Stock Publishers. This book was released on 2003-01-14 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: ÒGeometry is a very beautiful subject whose qualities of elegance, order, and certainty have exerted a powerful attraction on the human mind for many centuries. . . Algebra's importance lies in the student's future. . . as essential preparation for the serious study of science, engineering, economics, or for more advanced types of mathematics. . . The primary importance of trigonometry is not in its applications to surveying and navigation, or in making computations about triangles, but rather in the mathematical description of vibrations, rotations, and periodic phenomena of all kinds, including light, sound, alternating currents, and the orbits of the planets around the sun.Ó In this brief, clearly written book, the essentials of geometry, algebra, and trigonometry are pulled together into three complementary and convenient small packages, providing an excellent preview and review for anyone who wishes to prepare to master calculus with a minimum of misunderstanding and wasted time and effort. Students and other readers will find here all they need to pull them through.
Download or read book Geometry and Trigonometry written by Britannica Educational Publishing and published by Britannica Educational Publishing. This book was released on 2015-01-01 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This stimulating volume offers a broad collection of the principles of geometry and trigonometry and contains colorful diagrams to bring mathematical principles to life. Subjects are enriched by references to famous mathematicians and their ideas, and the stories are presented in a very comprehensible way. Readers investigate the relationships of points, lines, surfaces, and solids. They study construction methods for drawing figures, a wealth of facts about these figures, and above all, methods to prove the facts. They learn about triangle measure for circular motion, sine and cosine, tangent and secant, and trigonometric functions that are applied to right triangles.
Download or read book Divine Proportions written by Norman John Wildberger and published by . This book was released on 2005 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: "... introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry" -- p. vii.
Download or read book Foundations of Mathematics written by Philip Brown and published by Mercury Learning and Information. This book was released on 2016-03-14 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Mathematics offers the university student or interested reader a unique reference book by covering the basics of algebra, trigonometry, geometry, and calculus. There are many instances in the book to demonstrate the interplay and interconnectedness of these topics. The book presents definitions and examples throughout for clear, easy learning. Numerous exercises are included at the ends of the chapters, and readers are encouraged to complete all of them as an essential part of working through the book. It offers a unique experience for readers to understand different areas of mathematics in one clear, concise text. Instructors’ resources are available upon adoption. Features: •Covers the basics of algebra, trigonometry, geometry, and calculus •Includes all of the mathematics needed to learn calculus •Demonstrates the interplay and interconnectedness of these topics •Uses numerous examples and exercises to reinforce concepts
Download or read book Trigonometry Geometry and the Conception of Space written by Paul M. Tokorcheck and published by . This book was released on 2015-08-07 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Trigonometry, Geometry, and the Conception of Space is primarily a textbook for students of architecture, design, or any other subject that requires a strong, practical understanding of measurement. Topics that are traditionally included for future calculus students have been replaced with a study of three-dimensional space and geometry. The first portion of the book focuses on pure trigonometry: sets and numbers, the six trigonometric functions and their inverses, and applications. The second portion covers more geometric topics like cylindrical and spherical coordinate systems, conic sections, and quadric surfaces. The material emphasizes alternative ways to describe points in space and how to transfer between them. Written for highly visual courses exploring three-dimensional space and the objects that lie within it, Trigonometry, Geometry, and the Conception of Space offers fresh, modern instruction for classes in architecture, graphic design, and mathematics. Paul Tokorcheck earned his Ph.D. in mathematics at UC Santa Cruz, with research interests in group representations, number theory, and Lie theory. He is now a lecturer with the Department of Mathematics at Iowa State University. Apart from mathematics, Dr. Tokorcheck's life journey has taken him through a variety of jobs, from cooking in award-winning kitchens of California, to teaching high school in northern Ghana, to resettling refugees from the civil wars in Liberia and Sierra Leone."
Download or read book Heavenly Mathematics written by Glen Van Brummelen and published by Princeton University Press. This book was released on 2013 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegent proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries. -- Jacket.
Download or read book Elements of Geometry and Trigonometry written by Adrien Marie Legendre and published by . This book was released on 1838 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Trigonometry written by C. V. Durell and published by Courier Corporation. This book was released on 2012-11-20 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a welcome resource for teachers seeking an undergraduate text on advanced trigonometry. Ideal for self-study, this book offers a variety of topics with problems and answers. 1930 edition. Includes 79 figures.
Download or read book Treatise on Geometry and Trigonometry written by Eli Todd Tappan and published by . This book was released on 1868 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Trigonometry For Dummies written by Mary Jane Sterling and published by John Wiley & Sons. This book was released on 2014-02-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A plain-English guide to the basics of trig Trigonometry 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 level Packed with example trig problems From the author of Trigonometry Workbook For Dummies Trigonometry For Dummies is for any student who needs an introduction to, or better understanding of, high-school to college-level trigonometry.
Download or read book Trigonometry written by Mark D. Turner and published by Thomson Brooks/Cole. This book was released on 2012-01-01 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Choose the book written for the way you teach with McKeague/Turner's best-selling TRIGONOMETRY, 7E, International Edition. This trusted edition presents contemporary concepts in short, manageable sections using the most current, detailed examples and high-interest applications. Captivating illustrations of trigonometry concepts in action, such as Lance Armstrong's cycling success, the Ferris wheel, and even the human cannonball, as well as unique Historical Vignettes help motivate and keep students' interest throughout your course.TRIGONOMETRY, 7E, International Edition continues to use a standard right-angle approach to trigonometry with an unmatched emphasis on study skills that prepares students for future success in advanced courses, such as calculus. The book's proven blend of exercises, fresh applications, and projects is now combined with a simplified approach to graphing and the convenience of Enhanced WebAssign®—a leading, time-saving online homework tool for instructors and students that's correlated with your Instructor's Edition for cohesive support.
Download or read book Compiled and Solved Problems in Geometry and Trigonometry written by Florentin Smarandache and published by Infinite Study. This book was released on 2015-05-01 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a translation from Romanian of "Probleme Compilate şi Rezolvate de Geometrie şi Trigonometrie" (University of Kishinev Press, Kishinev, 169 p., 1998), and includes problems of 2D and 3D Euclidean geometry plus trigonometry, compiled and solved from the Romanian Textbooks for 9th and 10th grade students.
Download or read book Trigonometry written by I.M. Gelfand and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a sense, trigonometry sits at the center of high school mathematics. 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. Trigonometry is an important introduction to calculus, where one stud ies 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.
Download or read book Elements of Geometry and Trigonometry from the Works of A M Legendre written by Charles Davies and published by . This book was released on 1854 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book College Algebra Trigonometry and Analytic Geometry written by Raymond A. Barnett and published by McGraw-Hill Companies. This book was released on 1984 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
