The Course: History of Mathematics (2024)

It’s fitting that one of the oldest courses in the catalog, taught by UNLV'slongest-serving faculty member, is a history course … But you won’t find it in the History Department.

This course, nested in the Department of Mathematical Sciences, teaches a different kind of historical narrative — one that's written in the language of numbers and equations and that influences everything from technology and engineering to music and art.

Taught for over 20 years by Satish Bhatnagar, the History of Mathematics covers the evolution of mathematics over time and its effects on cultures around the world. “Lately, I have been taking a humanistic approach toward the History of Mathematics,” says Bhatnagar.

It’s that holistic approach to both teaching and understanding mathematics that he hopes to impart to his students — many of whom go on to become math teachers.

That way, he says, they’ll develop a broader understanding of the subject and deliver a richer presentation when creating their own curriculum.

How does it work, and why is it being taught?

One component of the course includes a master project that asks students to choose a member of their family (parents, grandparents, great-grandparents, etc.) and interview them about what learning and using mathematics in school was like for them when they were young.

“Through this project, students have a history of their family and of some mathematics,” explains Bhatnagar. The students are then asked to write biweekly reports as they work on the project.

To further aid the projects, Bhatnagar invites guest speakers such asClaytee White, director of the Oral History Research Center, who spoke to students about how to conduct a creditable oral interview with their relatives.

Other speakders included staff from the Writing Center to present on developing writing skills; a mathematician to share their professional journey; and David Schwartz, history professor and ombuds, to speak on the history of gaming and mathematical odds in Las Vegas casinos.

“The bottom line is that if you do not know the history of your subject, your family, your city, or your nation, you are missing out on a lot. The history of mathematics is like a history of everything,”says Bhatnagar.

Who’s taking it?

History of Mathematics is an upper-division math course that is only required for students who are secondary math majors. For others, it can be taken as an elective.

Bhatnagar says, “Students come from computer science and engineering, philosophy, economics — you name it."

What’s something students might be surprised to learn?

The course is very accessible to students in non-math majors because the focus is on the people who created mathematics, conditions which were conducive to mathematics, and places where mathematicians thrived.

“MATH 314 sounds like it’s an upper-division math course, but no mathematical concepts are taught,” says Bhatnagar. “You don’t even need to understand concepts like the quadratic formula!”

What excites instructors the most about teaching this course?

When Bhatnagar first began teaching at UNLV, his focus was on teaching “hardcore” math and some computer science courses. In the 1980s, he taught thehistory of Vedic mathematics.

“Vedic mathematics is the mathematics that is found in the Vedas, the most ancient scriptures of the Hindus,” says Bhatnagar. “Once I got into the history of mathematics as a subject, it became really my number one passion.”

Bhatnagar has published 13 books in seven different genres: mathematics, philosophy, history, literature, religion, history of math, and education.

“This course is a two-way traffic of ideas: I get ideas from the classroom, and I bring ideas into the classroom. And that is what really keeps me going into my 50th year here,” he says.

What can even lay people know from this course?

“That the facts in mathematics are unchanging, no matter how old they are," says Bhatnagar. "Once something is proved right, mathematicians are never ever going to be disputing it." By contrast, "nothing is carved in stone in history because the facts are under constant consideration and revision.”

Bhatnagar says his approach toward the history of mathematics is to look at it and treat the subject as a subset of history in general.

“But unlike history as a subject,” he says, “You still have to do tangible math every day.”

The reading list:

“I actually never thought that I would write such volumes! When I wrote the first book, I did not put the ‘Volume I’ [in the title] because I thought that was the end of it,” jokes Bhatnagar. “But you never know — gradually things kept needing to be added. So volume II is out now, too!”

The Course: History of Mathematics (2024)

FAQs

What is a history of mathematics course? ›

A study of the History of Mathematics provides students an opportunity to study the historical development of mathematics, develop an appreciation of mathematics, and discover how mathematical structure and exactitude have developed over time.

What is the brief history of mathematics? ›

Prehistoric Africans started using numbers to track time about 20,000 years ago. The Rhind Papyrus (1650 BCE) shows how ancient Egyptians worked out arithmetic and geometry problems in the first math textbook. Babylonian mathematicians were the first known to create a character for zero.

What is the hardest math in history? ›

World's Most Puzzling Unsolved Math Problems
  1. Riemann Hypothesis. ...
  2. Birch and Swinnerton-Dyer Conjecture. ...
  3. Hodge Conjecture. ...
  4. Navier-Stokes Equations. ...
  5. Yang-Mills Existence and Mass Gap. ...
  6. P vs NP Problem. ...
  7. Collatz Conjecture.

What is the course mathematics? ›

A basic definition of mathematics (or maths, or math, depending where you are in the world) is that it is an education in numeric sciences, using a range of different approaches including algebra, calculus and basic arithmetic.

What is the significance of history of mathematics? ›

The history of mathematics is important because it shows how the tools we use to solve mathematical problems developed. This gives us a deeper understanding of mathematics itself. The history of mathematics is also connected with the development of science.

What is the oldest math subject? ›

The earliest form of mathematics that we know is counting, as our ancestors worked to keep track of how many of various things they had. The earliest evidence of counting we have is a prehistoric bone on which have been marked some tallies, which sometimes appear to be in groups of five.

What is the hardest skill in math? ›

Abstract algebra and linear algebra are two of the most challenging math courses in high school. These courses cover advanced mathematical concepts, including group theory, differential geometry, and partial differential equations.

What are the 7 unsolved mathematics? ›

Contents
  • 1 The Riemann Hypothesis. 1.1 Clay description.
  • 2 The Yang-Mills Equations.
  • 3 The P vs. NP Problem. 3.1 Clay description.
  • 4 The Navier–Stokes equations. 4.1 Clay description.
  • 5 The Hodge Conjecture.
  • 6 The Poincaré Conjecture. 6.1 Clay description.
  • 7 Birch and Swinnerton-Dyer conjecture.

What is the hardest math to take in college? ›

College math classes difficulty ranking?
  • Abstract Algebra.
  • Real Analysis.
  • Complex Analysis.
  • Probability and Statistics.
  • Partial Differential Equations.
  • Topology.
  • Numerical Analysis.
  • Dynamical Systems and Chaos.
Feb 29, 2024

What is the most difficult degree to get? ›

10 Hardest Degrees in the World [2024]
  1. Medicine: According to studies, the medical field is considered one of the toughest degrees to pursue. ...
  2. Aerospace Engineering: ...
  3. Quantum Physics: ...
  4. Astrophysics: ...
  5. Electrical Engineering: ...
  6. Law: ...
  7. Architecture: ...
  8. Chemical Engineering:

What is the highest degree of math? ›

A doctoral degree is the highest level of education available in mathematics, often taking 4-7 years to complete. Like a master's degree, these programs offer specializations in many areas, including computer algebra, mathematical theory analysis, and differential geometry.

What is the highest paying job involving math? ›

What Math Careers Earn the Most Money?
  1. Actuary. Actuaries analyze financial risks using mathematics, statistics, and financial theory to study uncertain future events. ...
  2. Data Scientist. ...
  3. Quantitative Analyst. ...
  4. Mathematician. ...
  5. Statistician.
May 20, 2024

What is the history of mathematics education? ›

Elementary mathematics were a core part of education in many ancient civilisations, including ancient Egypt, ancient Babylonia, ancient Greece, ancient Rome, and Vedic India. In most cases, formal education was only available to male children with sufficiently high status, wealth, or caste.

What is the history of calculus math? ›

Modern calculus was developed in 17th-century Europe by Isaac Newton and Gottfried Wilhelm Leibniz (independently of each other, first publishing around the same time) but elements of it first appeared in ancient Egypt and later Greece, then in China and the Middle East, and still later again in medieval Europe and ...

What is the first math course? ›

First Year Calculus (Calculus 1000A/B, 1500A, 1301B and 1501B) Calculus 1000A/B is the first university level mathematics course for many Western Science and Social Science students. This course assumes that the student has completed an introductory calculus course in secondary school.

What is the history of geometry math? ›

The earliest known geometry works come from Egypt dating back to 2000 BC. These included formulas for lengths, areas and volumes, even one for pyramids. In the 7th century BC, Thales of Miletus calculated the height of pyramids, and the Greek mathematician Pythagoras proved the well-known Pythagorean Theorem.

References

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