ISBN: 978-81-966422-3-5
Authors: Dr. G. Jayalalitha, Dr. R. Kamali
Product Price | ₹950.00 | ||
Click to add this item to cart. |
Product Shipping |
|
Book Description
Advanced Algebra: A Journey into Abstract Structures and Applications.” This book is crafted with the aim of providing a comprehensive exploration of advanced algebraic concepts for students, educators, and enthusiasts of mathematical abstraction. Advanced algebra serves as a gateway to the profound beauty and versatility of abstract structures in mathematics.
Key Features:
Building on Foundations: Before delving into the depths of advanced algebra, we revisit and reinforce the fundamental concepts of algebra. A strong foundation in elementary algebra is crucial for navigating the abstract landscapes that lie ahead.
Abstract Structures: The heart of this book lies in the exploration of abstract algebraic structures. From groups and rings to fields and modules, readers will journey through these structures, unraveling the elegant theories that underpin them. Emphasis is placed on understanding the key properties and relationships that characterize each structure.
Applications in Diverse Fields: Advanced algebra is not just an exercise in abstraction; it is a powerful tool with applications across various branches of mathematics and beyond. This book showcases how abstract algebraic concepts find practical use in areas such as cryptography, coding theory, and quantum mechanics.
Problem-Solving Approach: Throughout the book, we adopt a problem-solving approach to deepen understanding. Exercises and problems are carefully curated to challenge and engage readers, encouraging them to apply theoretical knowledge to solve complex problems.
Historical Context: Mathematics is a living discipline with a rich history. We weave historical context into the narrative to provide insight into the development of advanced algebraic concepts. Understanding the historical evolution of these ideas enhances the appreciation of their significance.
Connection to Other Disciplines: Advanced algebra is a versatile tool that connects with other branches of mathematics. This book highlights these connections, demonstrating how algebraic structures interface with analysis, geometry, and topology.
Accessible Language: Recognizing the potential challenges of abstract algebra, we strive to present concepts in an accessible and reader-friendly manner. Clear explanations, illustrative examples, and practical applications are employed to make the material engaging and comprehensible.
As you embark on your journey through the pages of this book, we hope it serves as a guiding companion, illuminating the path to a deeper understanding of advanced algebra and inspiring a lifelong appreciation for the elegance and power of abstract mathematical structures.