Download Gallian’s Contemporary Abstract Algebra (9th Edition) written by Joseph Gallian in PDF format. This book is under the category Mathematics and bearing the isbn/isbn13 number 1305657969/9781305657960. You may reffer the table below for additional details of the book.
Description
Gallian’s Contemporary Abstract Algebra (9th Edition) by Joseph Gallian is a comprehensive and widely-used textbook that provides a thorough introduction to the field of abstract algebra. This book is highly regarded among students and instructors alike for its clear explanations, extensive examples, and diverse range of exercises.
The book begins with a concise introduction to the basic concepts of sets, relations, and functions, which serves as a foundation for the subsequent chapters. Gallian then delves into the core topics of abstract algebra, including groups, rings, fields, and vector spaces. Each chapter is carefully structured and builds upon the previous material, ensuring a smooth progression of ideas.
One of the key strengths of Gallian’s book is its emphasis on the importance of applications and connections to other areas of mathematics. Throughout the text, the author provides numerous real-world examples and applications of abstract algebra, demonstrating its relevance in various fields such as cryptography, coding theory, and computer science. This approach not only enhances the reader’s understanding of the subject matter but also highlights the practical significance of abstract algebra in modern mathematics.
The clarity of Gallian’s writing style is another notable feature of this book. The author presents complex concepts in a concise and accessible manner, making it easier for readers to grasp the material. Gallian also includes numerous worked-out examples and step-by-step explanations, which greatly aid in understanding the theoretical concepts and their applications. Additionally, the book contains a wealth of exercises at the end of each chapter, ranging from routine problems to more challenging ones, allowing readers to practice and reinforce their understanding of the material.
Another noteworthy aspect of Gallian’s Contemporary Abstract Algebra is its inclusion of historical notes and biographies of mathematicians. These sections provide interesting insights into the development of abstract algebra and the contributions of various mathematicians to the field. By incorporating historical context, Gallian adds depth and richness to the subject matter, making it more engaging for readers.
In terms of organization, the book is divided into 16 chapters, each covering a specific topic in abstract algebra. The chapters are logically arranged, with each one building upon the previous material. This structure allows for a systematic and comprehensive study of the subject, enabling readers to develop a solid foundation in abstract algebra.
The ninth edition of Gallian’s book also includes several new features and improvements. For instance, the author has added more exercises and examples throughout the text, providing additional opportunities for practice and reinforcement. The book also contains updated references and further reading suggestions, allowing readers to explore specific topics in more depth.
In conclusion, Gallian’s Contemporary Abstract Algebra (9th Edition) is an exceptional textbook that effectively introduces and explores the fundamental concepts of abstract algebra. With its clear explanations, extensive examples, and diverse range of exercises, this book is an invaluable resource for students and instructors alike. Whether used as a primary textbook for a course or as a supplementary resource for self-study, Gallian’s book is sure to enhance the reader’s understanding and appreciation of abstract algebra.
