Fundamentals of Elementary Mathematics - Vol 6 - Complex Numbers, Polynomials and Equations - Gelson Iezzi
Fundamentals of Elementary Mathematics - Vol 6: Complex Numbers, Polynomials, and Equations by Gelson Iezzi
A Comprehensive Guide to the Foundations of Mathematics
In the sixth volume of his acclaimed Fundamentals of Elementary Mathematics series, renowned mathematician Gelson Iezzi delves into the captivating world of complex numbers, polynomials, and equations. This comprehensive textbook provides a thorough and accessible exploration of these fundamental concepts, empowering students with the knowledge and skills necessary to excel in higher-level mathematics courses.
Complex Numbers: A Gateway to a New Mathematical Realm
Complex numbers, with their imaginary unit i, introduce a whole new dimension to mathematics. Iezzi begins by introducing the concept of complex numbers and their representation in the complex plane. He then delves into the operations of addition, subtraction, multiplication, and division of complex numbers, demonstrating their unique properties and applications.
Polynomials: Building Blocks of Algebraic Expressions
Polynomials, with their variable terms and coefficients, form the cornerstone of algebraic expressions. Iezzi provides a detailed explanation of polynomial operations, including addition, subtraction, multiplication, and division. He also explores the concept of polynomial factorization, a crucial technique for solving equations and simplifying expressions.
Equations: The Quest for Solutions
Equations, the heart of algebra, represent the search for unknown quantities that satisfy a given condition. Iezzi covers a wide range of equation types, including linear equations, quadratic equations, and systems of equations. He presents various methods for solving these equations, such as substitution, elimination, and the quadratic formula.
Applications and Real-World Connections
Throughout the book, Iezzi emphasizes the practical applications of complex numbers, polynomials, and equations in various fields, including engineering, physics, and computer science. He provides real-world examples and exercises that illustrate the relevance of these concepts in solving real-life problems.
A Treasure Trove of Mathematical Insights
Fundamentals of Elementary Mathematics - Vol 6: Complex Numbers, Polynomials, and Equations is a treasure trove of mathematical insights and knowledge. With its clear explanations, engaging examples, and challenging exercises, this textbook is an indispensable resource for students, educators, and anyone passionate about exploring the foundations of mathematics.
Key Features:
- Comprehensive coverage of complex numbers, polynomials, and equations
- Clear and concise explanations of mathematical concepts
- Engaging examples and exercises to reinforce understanding
- Real-world applications that illustrate the practical relevance of mathematics
- Ideal for students, educators, and mathematics enthusiasts