How Long to Read A Gateway to Number Theory: Applying the Power of Algebraic Curves

How Long Does it Take to Read A Gateway to Number Theory: Applying the Power of Algebraic Curves?

It takes the average reader 3 hours and 32 minutes to read A Gateway to Number Theory: Applying the Power of Algebraic Curves by Keith Kendig

Assuming a reading speed of 250 words per minute. Learn more

Description

Challenge: Can you find all the integers a, b, c satisfying 2a2+3b2=5c2? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! There are infinitely many possibilities, and as any computer will tell you, each of a, b, c will usually be large. So the challenge remains … Find all integers a a, b, c satisfying 2a2+3b2=5c2 A major advance in number theory means this book can give an easy answer to this and countless similar questions. The idea behind the approach is transforming a degree-two equation in integer variables a, b, c into a plane curve defined by a polynomial. Working with the curve makes obtaining solutions far easier, and the geometric solutions then get translated back into integers. This method morphs hard problems into routine ones and typically requires no more than high school math. (The complete solution to 2a2+3b2=5c2 is included in the book.) In addition to equations of degree two, the book addresses degree-three equations—a branch of number theory that is today something of a cottage industry, and these problems translate into “elliptic curves”. This important part of the book includes many pictures along with the exposition, making the material meaningful and easy to grasp. This book will fit nicely into an introductory course on number theory. In addition, the many solved examples, illustrations, and exercises make self-studying the book an option for students, thus becoming a natural candidate for a capstone course.

How long is A Gateway to Number Theory: Applying the Power of Algebraic Curves?

A Gateway to Number Theory: Applying the Power of Algebraic Curves by Keith Kendig is 207 pages long, and a total of 53,199 words.

This makes it 70% the length of the average book. It also has 65% more words than the average book.

How Long Does it Take to Read A Gateway to Number Theory: Applying the Power of Algebraic Curves Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 50 minutes to read A Gateway to Number Theory: Applying the Power of Algebraic Curves aloud.

What Reading Level is A Gateway to Number Theory: Applying the Power of Algebraic Curves?

A Gateway to Number Theory: Applying the Power of Algebraic Curves is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy A Gateway to Number Theory: Applying the Power of Algebraic Curves?

A Gateway to Number Theory: Applying the Power of Algebraic Curves by Keith Kendig is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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