Free Ebook Introducing Mathematics: A Graphic Guide (Introducing...), by Ziauddin Sardar, Jerry Ravetz
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Introducing Mathematics: A Graphic Guide (Introducing...), by Ziauddin Sardar, Jerry Ravetz
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What is mathematics, and why is it such a mystery to so many people? Mathematics is the greatest creation of human intelligence. It affects us all. We depend on it in our daily lives, and yet many of the tools of mathematics, such as geometry, algebra and trigonometry, are descended from ancient or non-Western civilizations.
Introducing Mathematics traces the story of mathematics from the ancient world to modern times, describing the great discoveries and providing an accessible introduction to such topics as number-systems, geometry and algebra, the calculus, the theory of the infinite, statistical reasoning and chaos theory. It shows how the history of mathematics has seen progress and paradox go hand in hand - and how this is still happening today.
- Sales Rank: #412773 in eBooks
- Published on: 2015-03-14
- Released on: 2015-03-14
- Format: Kindle eBook
About the Author
Ziauddin Sardar is a renowned cultural and science critic who is the author of several Introducing titles.
Jerry Ravetz is a philosopher and mathematician. He pioneered the study of uncertainty and policy numbers in social and scientific issues at Leeds University.
Borin Van Loon has worked on numerous Introducing titles. He is a freelance illustrator, surrealist painter and collagist.
Most helpful customer reviews
12 of 12 people found the following review helpful.
Ethnomathematica and the universal language of maths as the tool of science
By OverTheMoon
This book doesn't tutor you in mathematics so if that is what you want then go elsewhere now.
If you are looking to learn mathematics without a good cause then I would say that you better have the attention span to learn something absolutely mundane if you don't have a reason for it. A reason to learn mathematics is as vital to grasping mathematics as our brain needing a spinal cord to work. It would be best to begin with a cause to learn it and unfortunately just needing to know it for exams doesn't help matters either. I would suggest therefore that you turn to other books in this series like "Introducing Newton and classical physics" and "Introducing the Universe". "Introducing Quantum Theory" and "Introducing Relativity" are the big two science books that can be understood somewhat rudimentary outside of the developed mathematics to support it. I think trying to understand those topics provides enough motives to complete a full study and application of the language of mathematics. Then this book becomes an engrossing essential.
Mathematics is not hard if learned the correct way. Mathematics is easy if you spend the right amount of time (lifetime really but in a truly applied year you will have advanced dramatically) on it and know what to learn and in what order. Buy a calculator. Read and learn the manual. In the manual you will come across terminology that you would like to comprehend. This book lays it all out for you.
"Introducing Mathematics" explains the historical record for mathematics and its development. By the end of the journey you would have an overview that maps mathematics. Then you should go about learning about each part in other specialized books. The main maths to learn after this one are algebra, geometry, trigonometry, analytical mathematics and then the big calculus. Getting to calculus is what it is all about. There are then various laws and rules and applications like statistics after that but the goal here is a slow progressive study of the above maths topics before moving into calculus. This is what it is all about.
Core material:
History of Mathematics culminating in Ethnomathematics is covered in detail
Egyptian, Greek, Chinese, Hebrew, Middle Eastern and European contributions to maths
Counting
Representing numbers as figures
Zero
Special and large numbers
Powers
Logarithms (logs)
Calculation
Equations (linear, quadratic, cubic and degree equations)
Algebra
Simultaneous equations
Measurements, error bars and fridges
Pythagoras
Zeno's paradoxes
Geometry
Binomials
Pascal's triangle, Jain and Vedic and meru-prastara
Trigonometry
Integers
Analytics
Functions
Calculus
Differentiation
Derivatives
Integration
Berkeley
Euler
Non-Euclidean
N-Dimension spaces
Groups and sets
Boolean algebra
Cantor
Godel's theorem
Turning machine
Fractals
Chaos theory
Topology
Number theory
Statistics
P-values and outliners
Probability
Uncertainty principle
Policy numbers
Overall this is exactly the kind of book I wanted to read. A starter book that just covers all the stuff you need to learn for calculus. Some of the topics are explained harshly but study them enough and you will come around to appreciating the time spent for just getting the point the book makes. When it clicks the feeling is great. Enjoy mathematics.
7 of 8 people found the following review helpful.
Pomobabble and Cartoons
By M_A_S
This book briefly touches on many areas of maths, some old and some new, often uses the passive voice in regards to historically significant theorems in math without reference to the fuller context or reasons why they were deemed significant or who proved them and how. Being an "introducing" of course the book is limited in its scope and can only scratch the surface for most of its topics, of which it does an Ok job with.
But the bigger bone I have to pick is with the cultural studies stuff towards the end. Mathematics IS a cultural activity, and is what it is today, not stricly because of Eurocentric hegemony and cultural domination with value-laden theorems, but because mathematical ideas and approaches to proof are "traded" amongst cultures in a broader and larger Marketplace of Ideas.
Some recent books challenging Platonism (Where Mathematics Comes From, The Mathematical Experience) are better constructed with more limited theses.
1 of 1 people found the following review helpful.
Great little reminder to pique the interest
By Ryan B Woodsmall
This is a highly readable and nicely-, humorously-illustrated quick intro to maths of all sorts. Moving on from fundamentals, like bases and counting, the reader is provided with a number of jumping off points for further study; it's of course more about breadth than depth in a book like this, but the concepts are so clearly presented you can easily find what you're looking for.
The only things I can pick out as lacking are some of the more fundamental portions of the trigonometry section - more meat instead of presenting a glut of formulas would have been helpful - and a near complete avoidance of matrices, though groups and sets are both included. Given the type of person I'd think would be reading a book like this, the lack of matrix theory and linear algebra seems like an oversight considering their modern use in technology.
A section on calculus with a clear, real-world example of first and second derivatives and integrals was refreshing though, and brought back memories of math I'd not thought about in years. That's the sign of good presentation by authors who know their subject matter inside and out. I'd recommend it based on the calculus section alone.
Overall, I'd say this is worth a read if you're at all interested in the fundamentals of mathematics. It's quick, too, and can be read in a sitting. Be forewarned, though: some subject in here will probably hook you and you'll likely want to read more.
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