512.7 <br/>

   Takloo-Bighash, Ramin,<br/>
                  A Pythagorean introduction to number theory :  right triangles, sums of squares, and arithmetic / 
Ramin Takloo-Bighash. 
 - 1 online resource. -
 - Undergraduate Texts in Mathematics,  0172-6056 .
 - Undergraduate texts in mathematics. .
<br/><br/> Academic 
Part I Foundational Material -- 1. Introduction -- 2. Basic number theory -- 3. Integral solutions to the Pythagorean Equation -- 4. What integers are areas of right triangles? -- 5. What numbers are the edges of a right triangle? -- 6. Primes of the form 4k+1 -- 7. Gauss sums, Quadratic Reciprocity, and the Jacobi symbol -- Part II Advanced Topics -- 8. Counting Pythagorean triples modulo an integer -- 9. How many lattice points are there on a circle or a sphere? -- 10. What about geometry? -- 11. Another proof of the four squares theorem -- 12. Quadratic forms and sums of squares -- 13. How many Pythagorean triples are there? -- 14. How are rational points distributed, really? -- Part III Appendices -- A. Background -- B. Algebraic integers -- C. SageMath -- References -- Index. 
<br/><br/> Legal Deposit;  Only available on premises controlled by the deposit library and to one user at any one time; 
<br/><br/><br/>Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force. 
<br/><br/><br/>English 
<br/><br/>                 <label>ISBN: </label>9783030026042 3030026043 
<br/><br/><label>Standard No.: </label>10.1007/978-3-030-02604-2  doi 
<br/><br/><label>Source: </label>com.springer.onix.9783030026042  Springer Nature 
<br/><br/><label>Nat. Bib. No.: </label>GBB917602  bnb 
<br/><br/>                 <label>Түлхүүр үг: </label>Number theory., Pythagorean theorem., Number Theory., Number theory., Pythagorean theorem., 
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA241  / .T35 2018