This long-awaited revision provides a concise introduction to topics in abstract algebra, taking full account of the major advances and developments that have occurred over the last half-century in the theoretical and conceptual aspects of the discipline, particularly in the areas of groups and fields.

Key features include:

• A new section on binary linear codes
  
• New chapter on Automorphisms and Galois Theory
  
• 450 fully solved problems and 420 supplementary problems for individual practice
  
• More than 175 illustrative examples
  

When you need just the essentials of calculus, this Easy Outlines book is there to help

If you are looking for a quick nuts-and-bolts overview of calculus, it's got to be Schaum's Easy Outline. This book is a pared-down, simplified, and tightly focused version of its Schaum's Outline cousin, with an emphasis on clarity and conciseness.

Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give you quick pointers to the essentials. Perfect if you have missed class or need extra review Gives you expert help from teachers who are authorities in their fields So small and light that it fits in your backpack

Topics include: Functions, Sequences, Limits, and Continuity, Differentiation, Maxima and Minima, Differentiation of Special Functions, The Law of the Mean, Indeterminate Forms, Differentials, and Curve Sketching, Fundamental Integration Techniques and Applications, The Definite Integral, Plane Areas by Integration, Improper Integrals, Differentiation Formulas for Common Mathematical Functions, Integration Formulas for Common Mathematical Functions

If you want top grades and a thorough understanding of abstract algebra this powerful study tool is the best tutor you can have! It takes you step-by-step through the subject and gives you sample problems with fully worked solutions, including proofs of all important theorems. You also get additional practice problems to solve on your own, working at your own speed. In addition, this superb study guide gives you chapters on sets, integers, groups, polynomials, and vector spaces. Students favorite, with more than 30 million copies sold, Schaums study guides are the best value for your student dollar—clear, complete, and low-cost.

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More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you 1,600 fully solved problems Complete review of all course fundamentals

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores

Schaum's Outlines--Problem Solved.

Topics include: Elements of Algebra; Functions; Graphs of Functions; Linear Equations; Simultaneous Linear Equations; Quadratic Functions and Equations; Inequalities; Locus of an Equation; The Straight Line; Families of Straight Lines; The Circle; Arithmetic and Geometric Progressions; Infinite Geometric Series; Mathematical Induction; The Binomial Theorem; Permutations; Combinations; Probability; Determinants of Order Two and Three; Determinants of Order; Systems of Linear Equations; Introduction to Transformational Geometry; Angles and Arc Length; Trigonometric Functions of a General Angle; Trigonometric Functions of an Acute Angle; Reduction to Functions of Positive Acute Angles; Graphs of the Trigonometric Functions; Fundamental Trigonometric Relations and Identities; Trigonometric Functions of Two Angles; Sum, Difference, and Product Trigonometric Formulas; Oblique Triangles; Inverse Trigonometric Functions; Trigonometric Equations; Complex Numbers; The Conic Sections; Transformations of Coordinate; Points in Space; Simultaneous Quadratic Equations; Logarithms; Power, Exponential, and Logarithmic Curves; Polynomial Equations, Rational Roots; Irrational Roots of Polynomial Equations; Graphs of Polynomials; Parametric Equations; The Derivative; Differentiation of Algebraic Expressions; Applications of Derivatives; Integration; Infinite Sequences; Infinite Series; Power Series; Polar Coordinates; Introduction to the Graphing Calculator; The Number System of Algebra; and Mathematical Modeling

Tough Test Questions? Missed Lectures? Not Enough Time? Textbook too pricey? Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully-solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring math instructors who explain how to solve the most commonly tested problems-it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. Helpful tables and illustrations increase your understanding of the subject at hand. Schaum's Outline of Trigonometry, Sixth Edition features: * Updated content to match the latest curriculum * Over 600 problems with step-by-step solutions * An accessible outline format for quick and easy review * Clear explanations for all linear algebra concepts * Access to revised Schaums.com website with access to 20 problem-solving videos, and more