Trigonometric Sums And Their Applications
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Trigonometric Sums And Their Applications
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Author : Andrei Raigorodskii
language : en
Publisher: Springer Nature
Release Date : 2020-03-11
Trigonometric Sums And Their Applications written by Andrei Raigorodskii and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-11 with Mathematics categories.
This 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.
103 Trigonometry Problems
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-04
103 Trigonometry Problems written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-04 with Mathematics categories.
* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training
Learning Trigonometry By Problem Solving
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Author : Alexander Rozenblyum
language : en
Publisher: World Scientific
Release Date : 2021-06-25
Learning Trigonometry By Problem Solving written by Alexander Rozenblyum and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-25 with Mathematics categories.
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.
A Level Mathematics
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Author : G. Ioannou
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-01-21
A Level Mathematics written by G. Ioannou and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-21 with categories.
Here I offer a complete Lesson on Maths A level suitable to Edexcel C3 Trigonometry-Further trigonometric identities and their applications. This set of notes completely covers the chapter with 162 worked examples. With over 20 years experience in teaching A Level (Pure Mathematics and Mechanics), I offer these notes covering a wide range of problems with complete solutions. In this way I hope to help students achieve a high score in their A Level Maths examination. Each Lesson covers theory and formula necessary for the chapter and step by step explanation of all solutions. Problems are arranged in an ascending order of difficulty reaching A level standard. Applies also for any students studying at this level. A continuation of C2-trigonometry Lesson with more advance problems. It includes: 1) Definition of cotx, secx, cosecx. 2) Use of identities such as: a) tan DEGREES2(x)+1=sec DEGREES2(x) b) cot DEGREES2(x)+1=cosec DEGREES2(x) Further Identities such as sin2x, cos2x, tan2x. Prove of the above identities. 3) Exercises involving double angles and half angles. 4) Use of sin(A+B), cos(A+B), tan(A+B), sin(A-B)..etc Use of these formula to evaluate without the use of calculator, and using standard angles the exact answers of ie cos15 etc 5) Extensive covering of proving identities involving also cases such sin3x, cos3x, tan3x etc 6) Solution of more advanced trigonometric equations. (Application of general solutions for a certain interval). 7) Solution of the trigonometric equation: acosx+bsinx=c, where a, b and c are constants. 8) Eliminating the angle from a set of equations and finding an expression for y=f(x). ie eliminate the angle from the set of equations x=2cosA+1 and y=3sinA-2. Use of the trigonometric identities. 9) Converting sums to products and products to sums. Use of such formula to solve different trigonometric problems.
Exponential Sums And Their Applications
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Author : N.M Korobov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Exponential Sums And Their Applications written by N.M Korobov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications. The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the estimation of the Riemann zeta function; and the theory of congruences and Diophantine equations. Some new applications of exponential sums are also included. It is assumed that the reader has a knowledge of the fundamentals of mathematical analysis and of elementary number theory.
Trigonometry And Its Applications
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Author : Christian R. Hirsch
language : en
Publisher: McGraw-Hill Science, Engineering & Mathematics
Release Date : 1985
Trigonometry And Its Applications written by Christian R. Hirsch and has been published by McGraw-Hill Science, Engineering & Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Trigonometric Sums In Number Theory And Analysis
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Author : Gennady I. Arkhipov
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-22
Trigonometric Sums In Number Theory And Analysis written by Gennady I. Arkhipov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-22 with Mathematics categories.
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov ́s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and in addition they present purely arithmetic results concerning the solvability of equations in integers.
Positive Trigonometric Polynomials And Signal Processing Applications
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Author : Bogdan Dumitrescu
language : en
Publisher: Springer
Release Date : 2017-03-20
Positive Trigonometric Polynomials And Signal Processing Applications written by Bogdan Dumitrescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-20 with Technology & Engineering categories.
This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The applications part is organized as a collection of related problems that use systematically the theoretical results.
Problems Illustrating Applications Of Trigonometry Algebra And Analytic Geometry In The United States Naval Academy
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Author : United States. Naval Academy. Department of mathematics
language : en
Publisher:
Release Date : 1948
Problems Illustrating Applications Of Trigonometry Algebra And Analytic Geometry In The United States Naval Academy written by United States. Naval Academy. Department of mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Mathematics categories.
Teorija Isel Matemati Eskij Analiz I Ich Prilo Enija
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Author : Ivan Matveevich Vinogradov
language : en
Publisher: American Mathematical Soc.
Release Date : 1983
Teorija Isel Matemati Eskij Analiz I Ich Prilo Enija written by Ivan Matveevich Vinogradov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.