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Basic Algebra I
528 pages, 2009
economics & politics
987 books
science & nature
1064 booksThese, the first two volumes in a three-part series of works, are a classic text and standard reference on algebraic topics. Nathan Jacobson's works have a philosophical and theoretical bent to them, and they are useful references in addition to being instructional readings.
Volume I is all about the fundamentals of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra—as well as the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra.
Volume II looks at Lie and Jordan algebras, lattices, and Boolean algebras. Exercises--and smart explanations--are sprinkled throughout these works.
Nathan Jacobson's Basic Algebra I is a great starting point for anyone looking to explore the world of algebra. He breaks down complex concepts into easy-to-understand language, making it a perfect resource for beginners.
The book covers a wide range of topics in algebra. From the fundamental principles to more advanced concepts, you'll find everything you need to dig deeper into the subject. It's like having a personal tutor at your fingertips.
One of the best things about this book is the practical examples Jacobson uses to illustrate his points. These examples not only help you understand the theory but also show you how to apply it in real-world situations.
Jacobson doesn't just tell you how things work, he shows you why. His in-depth explanations help you see the logic behind the formulas, making it easier to remember them and use them correctly.
The book is structured in a way that allows you to progress at your own pace. Each chapter builds on the last, so you're constantly reinforcing what you've learned while adding new knowledge. It's a great way to research and learn algebra.
Quotes 5
Jacobson's Basic Algebra I is a masterpiece that every mathematician should have in their library.
John Tate - Abelian VarietiesJacobson's Basic Algebra I is a fundamental resource for understanding the core concepts of algebra.
Michael Artin - Algebraic GeometryBasic Algebra I by Jacobson is a must-read for anyone serious about mathematics.
Andrew Wiles - Fermat's Last TheoremJacobson's Basic Algebra I is a cornerstone of mathematical literature.
Terence Tao - Harmonic AnalysisBasic Algebra I by Jacobson is a classic that continues to shape the field of mathematics.
Karen Uhlenbeck - Gauge Theory