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Author : Myrtle Vera Sweet
Publisher : Unknown
Page : 628 pages
File Size : 50,7 Mb
Release : 1984
Category : Mathematics
ISBN : UOM:39015023870424
Author : M. V. Sweet
Publisher : Ellis Horwood Limited
Page : 617 pages
File Size : 54,9 Mb
Release : 1984-11-01
Category : Mathematics
ISBN : 0130261548
Author : John C Moore
Publisher : Elsevier
Page : 146 pages
File Size : 48,6 Mb
Release : 2013-09-03
Category : Mathematics
ISBN : 9781483151175
Mathematics for the General Course in Engineering, Volume I covers the syllabus in mathematics for the G.1 year of the general course in engineering. Provided in this text are 31 unworked examples, which form a comprehensive revision course that students are recommended to work through toward the end of the G.l year. Answers to the text examples are provided at the end. The subjects covered in this book are arithmetic; indices, logarithms, and the use of tables; length, area, and volume; algebra; geometry; and trigonometry. This volume provides students taking mathematics for the G.1 year in engineering a sound basis for the work of the G.2 year.
Author : Patrick D Barry
Publisher : Elsevier
Page : 283 pages
File Size : 47,6 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 9780857099686
This book addresses a neglected mathematical area where basic geometry underpins undergraduate and graduate courses. Its interdisciplinary portfolio of applications includes computational geometry, differential geometry, mathematical modelling, computer science, computer-aided design of systems in mechanical, structural and other engineering, and architecture. Professor Barry, from his long experience of teaching and research, here delivers a modern and coherent exposition of this subject area for varying levels in mathematics, applied mathematics, engineering mathematics and other areas of application. Euclidean geometry is neglected in university courses or scattered over a number of them. This text emphasises a systematic and complete build-up of material, moving from pure geometrical reasoning aided by algebra to a blend of analytic geometry and vector methods with trigonometry, always with a view to efficiency. The text starts with a selection of material from the essentials of Euclidean geometry at A level, and ends with an introduction to trigonometric functions in calculus.Very many geometric diagrams are provided for a clear understanding of the text, with abundant Problem Exercises for each chapter. Students, researchers and industrial practitioners would benefit from this sustained mathematisation of shapes and magnitude from the real world of science which can raise and help their mathematical awareness and ability. Provides a modern and coherent exposition of geometry with trigonometry for varying levels in mathematics, applied mathematics, engineering mathematics and other areas of application Describes computational geometry, differential geometry, mathematical modelling, computer science, computer-aided design of systems in mechanical, structural and other engineering, and architecture Provides many geometric diagrams for a clear understanding of the text and includes problem exercises for each chapter
Author : George F. Simmons
Publisher : Wipf and Stock Publishers
Page : 129 pages
File Size : 40,7 Mb
Release : 2003-01-14
Category : Religion
ISBN : 9781592441303
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.
Author : Samuel Smith Keller,W. F. Knox
Publisher : Unknown
Page : 378 pages
File Size : 43,5 Mb
Release : 1908
Category : Calculus
ISBN : UCAL:$B35801
Author : William J. Bruce
Publisher : Elsevier
Page : 358 pages
File Size : 41,9 Mb
Release : 2014-05-16
Category : Technology & Engineering
ISBN : 9781483180649
Analytic Trigonometry details the fundamental concepts and underlying principle of analytic geometry. The title aims to address the shortcomings in the instruction of trigonometry by considering basic theories of learning and pedagogy. The text first covers the essential elements from elementary algebra, plane geometry, and analytic geometry. Next, the selection tackles the trigonometric functions of angles in general, basic identities, and solutions of equations. The text also deals with the trigonometric functions of real numbers. The fifth chapter details the inverse trigonometric functions, while the sixth chapter covers the procedures for sketching graphs of trigonometric functions. The coverage of the selection also includes logarithm, solutions of triangles, polar coordinates, and complex numbers. The book will be of great use to both instructors and students of trigonometry.
Author : Philip Brown
Publisher : Mercury Learning and Information
Page : 382 pages
File Size : 45,8 Mb
Release : 2016-03-14
Category : Mathematics
ISBN : 9781944534417
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
Author : Eduardo Bayro Corrochano,Garret Sobczyk
Publisher : Springer Science & Business Media
Page : 607 pages
File Size : 40,9 Mb
Release : 2011-06-28
Category : Mathematics
ISBN : 9781461201595
The goal of this book is to present a unified mathematical treatment of diverse problems in mathematics, physics, computer science, and engineer ing using geometric algebra. Geometric algebra was invented by William Kingdon Clifford in 1878 as a unification and generalization of the works of Grassmann and Hamilton, which came more than a quarter of a century before. Whereas the algebras of Clifford and Grassmann are well known in advanced mathematics and physics, they have never made an impact in elementary textbooks where the vector algebra of Gibbs-Heaviside still predominates. The approach to Clifford algebra adopted in most of the ar ticles here was pioneered in the 1960s by David Hestenes. Later, together with Garret Sobczyk, he developed it into a unified language for math ematics and physics. Sobczyk first learned about the power of geometric algebra in classes in electrodynamics and relativity taught by Hestenes at Arizona State University from 1966 to 1967. He still vividly remembers a feeling of disbelief that the fundamental geometric product of vectors could have been left out of his undergraduate mathematics education. Geometric algebra provides a rich, general mathematical framework for the develop ment of multilinear algebra, projective and affine geometry, calculus on a manifold, the representation of Lie groups and Lie algebras, the use of the horosphere and many other areas. This book is addressed to a broad audience of applied mathematicians, physicists, computer scientists, and engineers.
Author : Patrick D Barry
Publisher : Woodhead Publishing
Page : 280 pages
File Size : 47,9 Mb
Release : 2015-12-24
Category : Mathematics
ISBN : 9780128050675
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
Author : Leo Dorst,Chris Doran,Joan Lasenby
Publisher : Springer Science & Business Media
Page : 479 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200895
Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.
Author : Morris Kline
Publisher : OUP USA
Page : 452 pages
File Size : 41,5 Mb
Release : 1990-03
Category : Mathematics
ISBN : 0195061373
Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.
Author : George Norman Reed
Publisher : Xlibris Corporation
Page : 507 pages
File Size : 50,7 Mb
Release : 2017-03-28
Category : Mathematics
ISBN : 9781524598402
This book contains a new and much easier system to use for the calculation of trigonometry problems occurring in the school, office, and workplace. Included are several trigonometry aids, which greatly simplify the calculation of triangles. There is also an explanation in minute detail of the production methods used in the engineering industry, including all the trigonometry calculations required prior to the precision manufacture of sheet metal, screw-cut, milled, drilled, and turned components. The fifty explanatory drawings explain how one can discover by calculation all the drawings unknown dimensions required for the production of precision components.
Author : Christian Perwass
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 40,6 Mb
Release : 2009-02-11
Category : Computers
ISBN : 9783540890683
The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation. Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials.
Author : Jay P. Abramson,Valeree Falduto,Rachael Gross (Mathematics teacher),David Lippman,Rick Norwood,Melonie Rasmussen,Nicholas Belloit,Jean-Marie Magnier,Harold Whipple,Christina Fernandez
Publisher : Unknown
Page : 1564 pages
File Size : 53,9 Mb
Release : 2015-02-13
Category : Algebra
ISBN : 1938168372
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.