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Reasonable Basic Algebra by Alain Schremmer




Reasonable Basic Algebra - Table of Contents

  • Part I: Elements of Arithmetic
  • 1. Number-Phrases
  • 2. Comparisons: Equalities and Inequalities
  • 3. Addition and Subtraction
  • 4. Subtraction
  • 5. Signed Number-Phrases Operations
  • 6. Co-Multiplication and Values
  • Part II: Inequations & Equations Problems
  • 7. Basic Problems 1 Counting Numerators
  • 8. Basic Problems 2 (Decimal Numerators)
  • 9. Translation & Dilation Problems
  • 10. Affine Word Problems Analysis
  • 11. Double Basic Problems
  • 12. Double Affine Problems
  • Part III: Laurent Polynomial Algebra
  • 13. Repeated Multiplications and Divisions
  • 14. Laurent Monomial Operations
  • 15. Polynomials 1: Addition, Subtraction

What You Will Learn in Reasonable Basic Algebra

Reasonable Basic Algebra by Alain Schremmer is a classic beginner’s guide that makes learning fundamental algebraic operations, linear equations, and functional reasoning simple and approachable. This famous textbook breaks down complex topics like signed numbers, operational priorities, linear equations in one variable, integer exponents, polynomial arithmetic, algebraic fractions, radical expressions, and quadratic equation solving into easy-to-understand explanations. Ideal for students and self-learners, it removes the academic confusion often associated with higher mathematics.

Perfect for high school and college introductory algebra students, this foundational text helps readers build an intuitive understanding of mathematical concepts. Schremmer uses clear, informal language and practical examples to make the subject less intimidating and more accessible. Whether you are completely new to the field or just need a quick refresher, the book provides step-by-step guidance through every chapter.

Known for its straightforward style and focus on core principles, it remains one of the best classical basic algebra textbooks for developmental math worldwide. It intentionally emphasizes intuition and clarity over abstract math theory, making it an invaluable and timeless resource for mastering basic algebra and developmental mathematics with confidence.

Book Details & Specifications

Title: Reasonable Basic Algebra by Alain Schremmer
Publisher: FreeMathTexts.org
Year: 2020
Pages: 275
Type: PDF
Language: English
ISBN-10 #: 0557447097
ISBN-13 #: 978-0557447091
License: GNU
Amazon: Amazon

About the Author: Alain Schremmer

The author Alain Schremmer was an influential American mathematics educator and Professor Emeritus of Mathematics at Community College of Philadelphia, widely celebrated for authoring open-access, conceptual algebra and calculus textbooks designed to foster deep intuitive understanding.

Through Reasonable Basic Algebra, Schremmer delivers a masterfully structured, clear presentation of fundamental algebraic thinking and problem-solving techniques. His student-centered pedagogy, logical progression, and emphasis on conceptual grounding make this volume a classic reference for basic and developmental algebra valued by educators and students worldwide.

Read or Downloadable Reasonable Basic Algebra


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