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First Year Mathematics by George W. Evans, John A. Marsh




First Year Mathematics - Table of Contents

  • 1. The First Use of Algebra
  • 2. Approximate Computation and Rules
  • 3. Measurement Formulas and Applications
  • 4. Additional Types of Word Problems
  • 5. Algebraic Transformation Operations
  • 6. Identities and Theorems Factoring
  • 7. Quadratic Equations Solving Methods
  • 8. Some Theorems of Geometry
  • 9. The Graphical Method and Functions
  • 10. Elimination by Combination System
  • 11. Elimination by Substitution Method
  • 12. Supplementary Problems for Practice and Review

What You Will Learn in First Year Mathematics

First Year Mathematics by George W. Evans and John A. Marsh is a classic beginner’s guide that makes learning fundamental algebraic operations, linear equations, and geometric principles simple and approachable. This famous textbook breaks down complex topics like positive and negative directed numbers, simple linear equations solving, geometric constructions and angles, factoring methods, algebraic fractions, simultaneous linear systems, functional graphs, ratio, proportion, and quadratic equations 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 introductory mathematics students, this foundational text helps readers build an intuitive understanding of mathematical concepts. Evans and Marsh use 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 introductory math books for students worldwide. It intentionally emphasizes intuition and clarity over abstract math theory, making it an invaluable and timeless resource for mastering first-year secondary mathematics with confidence.

Book Details & Specifications

Title: First Year Mathematics by George W. Evans, John A. Marsh
Publisher: Charles E. Merrill company
Year: 1916
Pages: 268
Type: PDF
Language: English
ISBN-10 #: B01E3DNW36, 1436848253
ISBN-13 #: 978-1436848251
License: Public Domain Work
Amazon: Amazon

About the Author: George William Evans

The author George William Evans was a prominent American educator and Headmaster of the Charlestown High School, and John A. Marsh was a Master in Mathematics at the English High School in Boston. Both authors were widely celebrated for pioneering integrated high school mathematics curricula in the early twentieth century.

Through First Year Mathematics, Evans and Marsh deliver a masterfully structured, clear presentation of fundamental algebraic mechanics and geometric problem-solving strategies. Their logical progression, practical geometric applications, and emphasis on intuitive clarity make this volume a classic reference for introductory secondary mathematics valued by educators and students worldwide.


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Mathematics Book Categories

Calculus
Calculus with Analytical Geometry
Single Variable Calculus
Differential Calculus
Integral Calculus
Multivariable Calculus
Advanced Calculus
Calculus of Variation
Geometry
Elementary Geometry
Analytic Geometry
Differential Geometry
Algebraic Geometry
Non Euclidean Geometry
Computational Geometry
Topology
Linear Algebra
Linear Algebra (Introduction)
Matrix Algebra
Discrete Mathematics
Probability & Statistics
Statistical Inference
Probability & Stochastic
Statistical Learning
Bayesian Statistics
Applied Statistics
Mathematical Analysis
Real Analysis
Complex Analysis
Fourier Analysis
Functional Analysis
Abstract Algebra
Number Theory
Applied Mathematics
Differential Equations
Computational Mathematics
Numerical Analysis
Mathematical Modeling
Mathematical Physics
Engineering Mathematics
History of Mathematics

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