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Matrices And Trigonometry
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Book Synopsis Matrices and Trigonometry by : Isiah Mcneil
Download or read book Matrices and Trigonometry written by Isiah Mcneil and published by Scientific e-Resources. This book was released on 2019-03-19 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrices and Determinants were discovered and developed in the eighteenth and nineteenth centuries. Initially, their development dealt with transformation of geometric objects and solution of systems of linear equations. Historically, the early emphasis was on the determinant, not the matrix. In modern treatments of linear algebra, matrices are considered first. We will not speculate much on this issue. The trigonometric functions (especially sine and cosine) for real or complex square matrices occur in solutions of second-order systems of differential equations. Trigonometry is a branch of mathematics that studies triangles, particularly right triangles. It deals with relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those relationships, as well as describing angles in general and the motion of waves such as sound and light waves. Trigonometric concepts are used to minimize the amount of measuring . These concepts depend on the concepts of enlargement and similarity. Equiangular triangles have the same shape, but only in the special case of congruency they do have the same size. Any set of similar triangles has the invariant property of proportionality; that is, ratios of pairs of corresponding sides are in the same proportion. In the language of transformation geometry, for similar triangles, one triangle is an enlargement of another, or any triangle can be transformed into another by applying the same scale factor to each part of the triangle. In the case of a fractional scale factor the enlargement is, in fact, a reduction. It is hoped that the book would be highly useful for the students and teachers of mathematics. Students aspiring to successfully accomplish engineering and also those preparing for various competitive examinations are likely to find this book of much help.
Book Synopsis Algebra and Trigonometry by : Jay P. Abramson
Download or read book Algebra and Trigonometry written by Jay P. Abramson and published by . This book was released on 2015-02-13 with total page 1564 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Introduction to Matrices and Linear Transformations by : Daniel Talbot Finkbeiner
Download or read book Introduction to Matrices and Linear Transformations written by Daniel Talbot Finkbeiner and published by . This book was released on 1960 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Matrices and Linear Algebra by : Hans Schneider
Download or read book Matrices and Linear Algebra written by Hans Schneider and published by Courier Corporation. This book was released on 2012-06-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it. This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations. Table of Contents: l. The Algebra of Matrices 2. Linear Equations 3. Vector Spaces 4. Determinants 5. Linear Transformations 6. Eigenvalues and Eigenvectors 7. Inner Product Spaces 8. Applications to Differential Equations For the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both true-false and multiple-choice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces. 6 line drawings. lndex. Two prefaces. Answer section.
Book Synopsis Linear Algebra and Matrix Theory by : Robert R. Stoll
Download or read book Linear Algebra and Matrix Theory written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-10-17 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
Download or read book Matrix Theory written by Joel N. Franklin and published by Courier Corporation. This book was released on 2012-07-31 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.
Book Synopsis Matrix Theory: A Second Course by : James M. Ortega
Download or read book Matrix Theory: A Second Course written by James M. Ortega and published by Springer Science & Business Media. This book was released on 1987-02-28 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra and matrix theory are essentially synonymous terms for an area of mathematics that has become one of the most useful and pervasive tools in a wide range of disciplines. It is also a subject of great mathematical beauty. In consequence of both of these facts, linear algebra has increasingly been brought into lower levels of the curriculum, either in conjunction with the calculus or separate from it but at the same level. A large and still growing number of textbooks has been written to satisfy this need, aimed at students at the junior, sophomore, or even freshman levels. Thus, most students now obtaining a bachelor's degree in the sciences or engineering have had some exposure to linear algebra. But rarely, even when solid courses are taken at the junior or senior levels, do these students have an adequate working knowledge of the subject to be useful in graduate work or in research and development activities in government and industry. In particular, most elementary courses stop at the point of canonical forms, so that while the student may have "seen" the Jordan and other canonical forms, there is usually little appreciation of their usefulness. And there is almost never time in the elementary courses to deal with more specialized topics like nonnegative matrices, inertia theorems, and so on. In consequence, many graduate courses in mathematics, applied mathe matics, or applications develop certain parts of matrix theory as needed.
Book Synopsis Space Mathematics by : Bernice Kastner
Download or read book Space Mathematics written by Bernice Kastner and published by Courier Corporation. This book was released on 2013-10-17 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created by NASA for high school students interested in space science, this collection of worked problems covers a broad range of subjects, including mathematical aspects of NASA missions, computation and measurement, algebra, geometry, probability and statistics, exponential and logarithmic functions, trigonometry, matrix algebra, conic sections, and calculus. In addition to enhancing mathematical knowledge and skills, these problems promote an appreciation of aerospace technology and offer valuable insights into the practical uses of secondary school mathematics by professional scientists and engineers. Geared toward high school students and teachers, this volume also serves as a fine review for undergraduate science and engineering majors. Numerous figures illuminate the text, and an appendix explores the advanced topic of gravitational forces and the conic section trajectories.
Book Synopsis 3D Math Primer for Graphics and Game Development, 2nd Edition by : Fletcher Dunn
Download or read book 3D Math Primer for Graphics and Game Development, 2nd Edition written by Fletcher Dunn and published by CRC Press. This book was released on 2011-11-02 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Download or read book The Shame Machine written by Cathy O'Neil and published by Penguin UK. This book was released on 2022-03-22 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: A TIMES BOOK OF THE YEAR Shame is being weaponized by governments and corporations to attack the most vulnerable. It's time to fight back Shame is a powerful and sometimes useful tool. When we publicly shame corrupt politicians, abusive celebrities, or predatory corporations, we reinforce values of fairness and justice. But as best-selling author Cathy O'Neil argues in this revelatory book, shaming has taken a new and dangerous turn. It is increasingly being weaponized -- used as a way to shift responsibility for social problems from institutions to individuals. Shaming children for not being able to afford school lunches or adults for not being able to find work lets us off the hook as a society. After all, why pay higher taxes to fund programmes for people who are fundamentally unworthy? O'Neil explores the machinery behind all this shame, showing how governments, corporations and the healthcare system capitalize on it. There are damning stories of rehab clinics, reentry programs, drug and diet companies, and social media platforms -- all of which profit from 'punching down' on the vulnerable. Woven throughout The Shame Machine is the story of O'Neil's own struggle with body image and her recent weight-loss surgery, which awakened her to the systematic shaming of fat people seeking medical care. With clarity and nuance, O'Neil dissects the relationship between shame and power. Whom does the system serve? How do current incentive structures perpetuate the shaming cycle? And, most important, how can we all fight back?
Book Synopsis ACT Math For Dummies by : Mark Zegarelli
Download or read book ACT Math For Dummies written by Mark Zegarelli and published by John Wiley & Sons. This book was released on 2011-06-28 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiply your chances of success on the ACT Math Test The ACT Mathematics Test is a 60-question, 60-minute subtest designed to measure the mathematical skills students have typically acquired in courses taken by the end of 11th grade, and is generally considered to be the most challenging section of the ACT. ACT Math For Dummies is an approachable, easy-to-follow study guide specific to the Math section, complete with practice problems and strategies to help you prepare for exam day. Review chapters for algebra, geometry, and trigonometry Three practice tests modeled from questions off the most recent ACT tests Packed with tips, useful information, and strategies ACT Math For Dummies is your one-stop guide to learn, review, and practice for the test!
Download or read book Theory Of Matrices written by B S Vatssa and published by New Age International. This book was released on 2007 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Enables Students To Thoroughly Master Pre-College Mathematics And Helps Them To Prepare For Various Entrance (Screening) Tests With Skill And Confidence.The Book Thoroughly Explains The Following: 1. Algebra 2. Trigonometry 3. Co-Ordinate Geometry 4. Three Dimensional Geometry 5. Calculus 6. Vectors 7. StatisticsIn Addition To Theory, The Book Includes A Large Number Of -Solved Examples -Practice Problems With Answers -Objective Questions Including Multiple Choice, True/False And Fill-In-The-Blanks -Model Test Papers And Iit Screening Tests For Self-Test The Language Is Clear And Simple Throughout The Book And The Entire Subject Is Explained In An Interesting And Easy-To-Understand Manner.
Download or read book Linear Algebra written by Lang and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Guide to Essential Math by : Sy M. Blinder
Download or read book Guide to Essential Math written by Sy M. Blinder and published by Newnes. This book was released on 2013-02-14 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) that is needed to succeed in science courses. The focus is on math actually used in physics, chemistry, and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. Detailed illustrations and links to reference material online help further comprehension. The second edition features new problems and illustrations and features expanded chapters on matrix algebra and differential equations. - Use of proven pedagogical techniques developed during the author's 40 years of teaching experience - New practice problems and exercises to enhance comprehension - Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables
Book Synopsis Fundamentals of Scientific Mathematics by : George E. Owen
Download or read book Fundamentals of Scientific Mathematics written by George E. Owen and published by Courier Corporation. This book was released on 2003-01-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rewarding undergraduate text, derived from an experimental program in teaching mathematics at the secondary-school level. This text provides a good introduction to geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. "...solid modern mathematical content..." — American Scientist. Over 200 figures. 1964 edition.
Book Synopsis Matrices, Moments and Quadrature with Applications by : Gene H. Golub
Download or read book Matrices, Moments and Quadrature with Applications written by Gene H. Golub and published by Princeton University Press. This book was released on 2009-12-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. The book bridges different mathematical areas to obtain algorithms to estimate bilinear forms involving two vectors and a function of the matrix. The first part of the book provides the necessary mathematical background and explains the theory. The second part describes the applications and gives numerical examples of the algorithms and techniques developed in the first part. Applications addressed in the book include computing elements of functions of matrices; obtaining estimates of the error norm in iterative methods for solving linear systems and computing parameters in least squares and total least squares; and solving ill-posed problems using Tikhonov regularization. This book will interest researchers in numerical linear algebra and matrix computations, as well as scientists and engineers working on problems involving computation of bilinear forms.
Book Synopsis ACT Math Prep For Dummies by : Mark Zegarelli
Download or read book ACT Math Prep For Dummies written by Mark Zegarelli and published by John Wiley & Sons. This book was released on 2024-05-07 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improve your score on the math section of the ACT A good math score on the ACT exam can set you on the path to a number of rewarding college programs and future careers, especially in the STEM fields. ACT Math Prep For Dummies walks you through this challenging exam section, with simple explanations of math concepts and proven test-taking strategies. Now including access to an all-new online test bank—so you can hammer out even more practice sessions—this book will help you hone your skills in pre-algebra, algebra, geometry, trigonometry and beyond. Handy problem-solving tips mean you’ll be prepared for the ever-more-advanced questions that the ACT throws at students each year. Learn exactly what you’ll need to know to score well on the ACT math section Get tips for solving problems quicker and making good guesses when you need to Drill down into more complex concepts like matrices and functions Practice, practice, practice, with three online tests If you’re a high school student preparing to take the ACT and you need extra math practice, ACT Math Prep For Dummies has your back.
