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Author: Dusan Jevtic Publisher: ISBN: 9780982831403 Category : Mathematics Languages : en Pages : 388
Book Description
The intimate relationship between trigonometry and complex numbers has been observed and used extensively for hundreds of years. This book brings trigonometry and complex numbers to students of either or both areas. The timely understanding of the subject matter within will help elevate students' chances of early contributions to the chosen field, should they elect to do so. Here the focus is on key concepts in trigonometry and complex numbers and on basic results in both areas and especially results and practices connecting them. The students learn the body of trigonometry, i.e., definitions, identities, equations, inequalities, and its use in solving various problems. They also learn what complex numbers are (e.g. the field of complex numbers), why they exist, when and how they are used, operations involving them and their geometric interpretation. In particular, the book centers on a deep relationship between complex numbers and trigonometric identities and equations via the polar form of complex numbers. Undergraduates and high school students who intend to study mathematics, physics, engineering, philosophy or psychology will find this book indispensable in the sense of insight, subject treatment, and historical perspective it offers. Teachers involved in math-clubs, preparation for mathematical contests or even everyday teaching activities will find this book useful as either text or supplementary material as it meets and exceeds the guidelines given in Mathematics Framework for California Public Schools. Over 250 solved problems span hundreds of years of written history of trigonometry and complex numbers. An equal number of carefully chosen exercises reflects the development of these areas and their connections with geometry, algebra, analysis, physics and engineering. This is especially true of chapters on solving problems in Euclidean geometry via trigonometry as well as on solving problems in trigonometry by using complex numbers. They reflect the unique perspective of the author whose teaching and research experience is in both mathematics and engineering.
Author: Glen Van Brummelen Publisher: Princeton University Press ISBN: 0691175993 Category : Mathematics Languages : en Pages : 208
Book Description
"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."--Jacket.
Author: Chandra Shekhar Kumar Publisher: Independently Published ISBN: Category : Languages : en Pages : 378
Book Description
Solutions Manual for S. L. Loney's Plane Trigonometry (Part One) This book is a solutions manual to accompany the textbook of Plane Trigonometry Part One by S. L. Loney. Detailed solutions to all the problems and exercises are provided. Written in a problem-solution format, this acts as an independent study guide to plane trigonometry. These solutions strengthen and enliven the inherent multi-concepts to enrich the heritage set forth by S. L. Loney. The present work will serve as a complete guide to private students reading the subject with few or no opportunities of instruction. This will save the time and lighten the work of Teachers as well. This book helps in acquiring a better understanding of the basic principles of Plane Trigonometry and in revising a large amount of the subject matter quickly. Care has been taken, as in the forthcoming ones, to present the solutions with multi-concepts and beyond in a simple natural manner, in order to meet the difficulties which are most likely to arise, and to render the work intelligible and instructive. Chandra Shekhar Kumar is Co-Founder of Ancient Science Publishers and Founder of Ancient Kriya Yoga Mission. He holds a degree of Integrated M.Sc.(5 yrs) in Physics from IIT Kanpur, India.
Author: Dusan Jevtic Publisher: ISBN: 9780982831403 Category : Mathematics Languages : en Pages : 388
Book Description
The intimate relationship between trigonometry and complex numbers has been observed and used extensively for hundreds of years. This book brings trigonometry and complex numbers to students of either or both areas. The timely understanding of the subject matter within will help elevate students' chances of early contributions to the chosen field, should they elect to do so. Here the focus is on key concepts in trigonometry and complex numbers and on basic results in both areas and especially results and practices connecting them. The students learn the body of trigonometry, i.e., definitions, identities, equations, inequalities, and its use in solving various problems. They also learn what complex numbers are (e.g. the field of complex numbers), why they exist, when and how they are used, operations involving them and their geometric interpretation. In particular, the book centers on a deep relationship between complex numbers and trigonometric identities and equations via the polar form of complex numbers. Undergraduates and high school students who intend to study mathematics, physics, engineering, philosophy or psychology will find this book indispensable in the sense of insight, subject treatment, and historical perspective it offers. Teachers involved in math-clubs, preparation for mathematical contests or even everyday teaching activities will find this book useful as either text or supplementary material as it meets and exceeds the guidelines given in Mathematics Framework for California Public Schools. Over 250 solved problems span hundreds of years of written history of trigonometry and complex numbers. An equal number of carefully chosen exercises reflects the development of these areas and their connections with geometry, algebra, analysis, physics and engineering. This is especially true of chapters on solving problems in Euclidean geometry via trigonometry as well as on solving problems in trigonometry by using complex numbers. They reflect the unique perspective of the author whose teaching and research experience is in both mathematics and engineering.
Author: Dusan Jevtic
Author: Glen Van Brummelen
Author: Chandra Shekhar Kumar
Author: Dusan Jevtic
Author: 
Author: Sidney Luxton Loney
Author: Catalogues
Author: George Albert Wentworth
Author: B.H. Blackwell Ltd
Author: University of Glasgow
Author: University of Glasgow