Skip to Content
Mathematics for Engineers
book

Mathematics for Engineers

by Ritu Shrivastava, Ramakant Bhardwaj, Satyendra Narayan
June 2025
Intermediate to advanced
576 pages
11h 26m
English
Wiley-Scrivener
Content preview from Mathematics for Engineers

5Algebra and Graphs

A diagram related to algebra and graphs, showcasing various mathematical components. It includes variables, operators, constants, coefficients, and examples of linear and quadratic equations. The numbers 3 and 5 are mentioned alongside expressions like “3x”, “2”, “+”, and “y”. Overall, it focuses on distinguishing between equations and expressions in mathematics.

Objectives: This chapter

  • Explains how to identify patterns, represent real-world situations using expressions and equations, and simplify expressions using the order of operations.
  • Introduce Graphs to solve linear, quadratic, and simultaneous equations.

5.1 Introduction

“Algebra” is derived from the Arabic word written in the treatise of Medieval Persian Mathematician. The treatise provides a primary root of algebra and a systematic meaningful solution for the linear and quadratic equations. The late Middle English algebra style has come from Italian, Spanish, and medieval Latin, rooted in Arabic words.

5.1.1 Early History of Algebra

The ancient Babylonians invented formulas to resolve linear, quadratic, and indeterminate linear equations, which are the origins of algebra. Chinese, Greek, and Egyptian math used geometric techniques to determine these equations. Algebra was first developed as a branch of mathematics distinct from geometry and arithmetic by the Iranian mathematician Muammadibn.

The traditions of Egypt and Babylon were carried on by Hellenistic mathematicians such as Diophantus and Indian mathematician Brahmagupta (Brahmasphutasiddhanta, published in 628 AD), but on a higher level that incorporates zero or negative integers.

A debate about the entitlement of “the father of algebra” exists between the Greek mathematician Diophantus & Persian ...

Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.

Read now

Unlock full access

More than 5,000 organizations count on O’Reilly

AirBnbBlueOriginElectronic ArtsHomeDepotNasdaqRakutenTata Consultancy Services

QuotationMarkO’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.
Julian F.
Head of Cybersecurity
QuotationMarkI wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.
Addison B.
Field Engineer
QuotationMarkI’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.
Amir M.
Data Platform Tech Lead
QuotationMarkI'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
Mark W.
Embedded Software Engineer

You might also like

Engineering Mathematics

Engineering Mathematics

P. Sivaramakrishna Das, C. Vijayakumari
The Mathematics of Machine Learning

The Mathematics of Machine Learning

Maria Han Veiga, François Gaston Ged

Publisher Resources

ISBN: 9781394214587