The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures ......
In Judgments of Beauty in Theory Evaluation, the author argues that judgments of beauty are a justified part of theory evaluation. This argument bears on the debate over judgments of beauty in scientific theory evaluation and also prompts an examination of judgments of beauty in philosophical theory evaluation.
In Judgments of Beauty in Theory Evaluation, the author argues that judgments of beauty are a justified part of theory evaluation. This argument bears on the debate over judgments of beauty in scientific theory evaluation and also prompts an examination of judgments of beauty in philosophical theory evaluation.
This new edition is intended for the undergraduate one or two semester course in modern algebra, also called abstract algebra. It follows that basic plan, using the axioms or rules to understand structures such as groups, rings, and fields, and giving the reader examples to help, but leaving many theorems and examples for them to try. The unique ......
The purpose of this book is twofold: to present some basic ideas in commutative algebra and algebraic geometry and to introduce some interesting topics of current research, centered around Grobner bases, resultants, and syzygies.
Suitable for those who need to learn algebra as a prerequisite for further study, this book covers various basic algebra concepts such as variables, equations, quadratic equations, factoring algebraic expressions, exponents, roots, radicals, and more.
From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory
Introduction to Abstract Algebra presents a breakthrough approach to teaching one of maths most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, ......
Brush up on your first year of college-level math with our new College Algebra guide! Pinpointed essentials of college algebra are covered in our easy-to-access format that includes succinct explanations of step-by-step problem solving, as well as the related mathematical rules. Whether you are in high school or college, taking the course for your ......
