Introduction to Algebra and Trigonometry provides a complete and self-contained presentation of the fundamentals of algebra and trigonometry. This book describes an axiomatic development of the foundations of algebra, defining complex numbers that are used to find the roots of any quadratic equation. Advanced concepts involving complex numbers are also elaborated, including the roots of polynomials, functions and function notation, and computations with logarithms. This text also discusses trigonometry from a functional standpoint. The angles, triangles, and applications involving triangles are likewise treated. Other topics include analytic geometry, conic sections, and use of a coordinate system to prove theorems from plane, and matrix operations and inverses. This publication is valuable to students aiming to gain more knowledge of the fundamentals of mathematics.
"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly.
Trigonometric functions and complex numbers are also considered. Comprised of 11 chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises.
The text takes a look at triangles, trigonometric identities and equations, introduction to trigonometry, and sequence and series, including arithmetic progressions, trigonometric functions, tables and calculators, sum and difference ...
Exceptionally accessible and user-friendly, this introduction to algebra and trigonometry features an abundance of interesting real-world applications that relate to readers' everyday lives.
He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms.
The modular approach and richness of content ensure that the book meets the needs of a variety of courses.
Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge.
Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge.
This book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups.
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.