Discover the comprehensive "Functional Trigonometry" by Abraham P. Hillman and Gerald L. Alexanderson, a cornerstone text for mathematics students and enthusiasts. This Second Edition, published in 1966 by Allyn and Bacon, Inc., offers an integrated approach to trigonometry, expertly weaving in concepts of vectors, complex numbers, and analytic geometry. Designed for a rigorous trigonometry course, it serves as a valuable prerequisite for calculus studies, making it an essential resource for higher mathematics, science, and engineering curricula.
This textbook meticulously introduces basic principles, then builds upon them with detailed chapters covering vectors, complex number systems, polar coordinates, and trigonometric functions. It delves into the properties of trigonometric functions, addition and multiplication, inverse trigonometric, exponential, and logarithmic functions, and concludes with crucial aspects of triangle-solving. With its clear explanations and modern trends in mathematics education, this volume is an excellent reference for anyone seeking a deep understanding of advanced trigonometry, college mathematics, and mathematical analysis.