{"product_id":"algebra-in-context-9781421417288","title":"Algebra in Context","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eProvides a framework for understanding algebra and related fields. In this book, students will discover why mathematics is such a crucial part not only of civilization but also of everyday life.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThis book approaches the teaching of algebra to first year undergraduate students with a unique use of the art's history and development. Students that have already encountered many of these topics in a traditional format in high school or college may find this engaging framework a boon to understanding. Mathematical Association of America The book is well organized and thorough. The authors take a conglomeration of discoveries and inventions over three millennia and present them in an ordered, coherent manner. Mathematic Teacher\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePreface\u003cbr\u003eIntroduction\u003cbr\u003e\u003cb\u003ePart I\u003c\/b\u003e\u003cbr\u003e1. Number Bases\u003cbr\u003e1.1. Base 6\u003cbr\u003e1.2. Base 4\u003cbr\u003e2. Babylonian Number System\u003cbr\u003e2.1. Cuneiform\u003cbr\u003e2.2. Mathematical Texts\u003cbr\u003e2.3. Number System\u003cbr\u003e3. Egyptian and Roman Number Systems\u003cbr\u003e3.1. Egyptian\u003cbr\u003e3.1.1. History\u003cbr\u003e3.1.2. Writing and Mathematics\u003cbr\u003e3.1.3. Number System\u003cbr\u003e3.2. Roman\u003cbr\u003e3.2.1. History\u003cbr\u003e3.2.2. Number System\u003cbr\u003e4. Chinese Number System\u003cbr\u003e4.1. History and Mathematics\u003cbr\u003e4.2. Rod Numerals\u003cbr\u003e5. Mayan Number System\u003cbr\u003e5.1. Calendar\u003cbr\u003e5.2. Codices\u003cbr\u003e5.3. Number System\u003cbr\u003e5.4. Native North Americans\u003cbr\u003e6. Indo-Arabic Number System\u003cbr\u003e6.1. India\u003cbr\u003e6.1.1. History\u003cbr\u003e6.1.2. Mathematics\u003cbr\u003e6.2. The Middle East\u003cbr\u003e6.2.1. History\u003cbr\u003e6.2.2. Mathematics\u003cbr\u003e6.3. Number System\u003cbr\u003e6.3.1. Whole Numbers\u003cbr\u003e6.3.2. Fractions\u003cbr\u003e7. Exercises\u003cbr\u003e\u003cb\u003ePart II\u003c\/b\u003e\u003cbr\u003e8. Addition and Subtraction\u003cbr\u003e9. Multiplication\u003cbr\u003e9.1. Roman Abacus\u003cbr\u003e9.2. Grating or Lattice Method\u003cbr\u003e9.3. Ibn Labban and Chinese Counting Board\u003cbr\u003e9.4. Egyptian Doubling Method\u003cbr\u003e10. Division\u003cbr\u003e10.1. Egyptian\u003cbr\u003e10.2. Leonardo of Pisa\u003cbr\u003e10.3. Galley or Scratch Method\u003cbr\u003e11. Casting Out Nines\u003cbr\u003e12. Finding Square Roots\u003cbr\u003e12.1. Heron of Alexandria\u003cbr\u003e12.2. Theon of Alexandria\u003cbr\u003e12.3. Bakhshali Manuscript\u003cbr\u003e12.4. Nicolas Chuquet\u003cbr\u003e13. Exercises\u003cbr\u003e\u003cb\u003ePart III\u003c\/b\u003e\u003cbr\u003e14. Sets\u003cbr\u003e14.1. Set Relations\u003cbr\u003e14.2. Finding 2n\u003cbr\u003e14.3. One-to-One Correspondence and Cardinality\u003cbr\u003e15. Rational, Irrational, and Real Numbers\u003cbr\u003e15.1. Commensurable and Incommensurable Magnitudes\u003cbr\u003e15.2. Rational Numbers\u003cbr\u003e15.3. Irrational Numbers\u003cbr\u003e15.4. I Is Uncountably Infinite\u003cbr\u003e15.5. card(Q), card(I), and card(R)\u003cbr\u003e15.6. Transfinite Numbers\u003cbr\u003e16. Logic\u003cbr\u003e17. The Higher Arithmetic\u003cbr\u003e17.1. Early Greek Elementary Number Theory\u003cbr\u003e17.1.1. Pythagoras\u003cbr\u003e17.1.2. Euclid\u003cbr\u003e17.1.3. Nicomachus and Diophantus\u003cbr\u003e17.2. Even and Odd Numbers\u003cbr\u003e17.3. Figurate Numbers\u003cbr\u003e17.3.1. Triangular Numbers\u003cbr\u003e17.3.2. Square Numbers\u003cbr\u003e17.3.3. Rectangular Numbers\u003cbr\u003e17.3.4. Other Figurate Numbers\u003cbr\u003e17.4. Pythagorean Triples\u003cbr\u003e17.5. Divisors, Common Factors, and Common Multiples\u003cbr\u003e17.5.1. Factors and Multiples\u003cbr\u003e17.5.2. Euclid's Algorithm\u003cbr\u003e17.5.3. Multiples\u003cbr\u003e17.6. Prime Numbers\u003cbr\u003e17.6.1. The Sieve of Eratosthenes\u003cbr\u003e17.6.2. The Fundamental Theorem of Arithmetic\u003cbr\u003e17.6.3. Perfect Numbers\u003cbr\u003e17.6.4. Friendly Numbers\u003cbr\u003e18. Exercises\u003cbr\u003e\u003cb\u003ePart IV\u003c\/b\u003e\u003cbr\u003e19. Linear Problems\u003cbr\u003e19.1. Review of Linear Equations\u003cbr\u003e19.2. False Position\u003cbr\u003e19.3. Double False Position\u003cbr\u003e20. Quadratic Problems\u003cbr\u003e20.1. Solving Quadratic Equations by Completing the Square\u003cbr\u003e20.1.1. Babylonian\u003cbr\u003e201.2. Arabic\u003cbr\u003e201.3. Indian\u003cbr\u003e20.1.4. The Quadratic Formula\u003cbr\u003e20.2. Polynomial Equations in One Variable\u003cbr\u003e20.2.1. Powers\u003cbr\u003e20.2.2. nth Roots\u003cbr\u003e20.3. Continued Fractions\u003cbr\u003e20.3.1. Finite Simple Continued Fractions\u003cbr\u003e20.3.2. Infinite Simple Continued Fractions\u003cbr\u003e20.3.3. The Number\u003cbr\u003e21. Cubic Equations and Complex Numbers\u003cbr\u003e21.1. Complex Numbers\u003cbr\u003e21.2. Solving Cubic Equations and the Cubic Formula\u003cbr\u003e22. Polynomial Equations\u003cbr\u003eRelation between Roots and Coefficients\u003cbr\u003eViète and Harriot\u003cbr\u003e22.3. Zeros of a Polynomial\u003cbr\u003e22.3.1. Factoring\u003cbr\u003e22.3.2. Descartes's Rule of Signs\u003cbr\u003e22.4. The Fundamental Theorem of Algebra\u003cbr\u003e23. Rule of Three\u003cbr\u003e23.1. China\u003cbr\u003e23.2. India\u003cbr\u003e23.3. Medieval Europe\u003cbr\u003e23.4. The Rule of Three in False Position\u003cbr\u003e23.5. Direct Variation, Inverse Variation, and Modeling\u003cbr\u003e24. Logarithms\u003cbr\u003e24.1. Logarithms Today\u003cbr\u003e24.2. Properties of Logarithms\u003cbr\u003e24.3. Bases of a Logarithm\u003cbr\u003e24.3.1. Using a Calculator\u003cbr\u003e24.3.2. Comparing Logarithms\u003cbr\u003e24.4. Logarithm to the Base e and Applications\u003cbr\u003e24.4.1. Compound Interest\u003cbr\u003e24.4.2. Amortization\u003cbr\u003e24.4.3. Exponential Growth and Decay\u003cbr\u003e24.5. Logarithm to the Base 10 and Application to Earthquakes\u003cbr\u003e25. Exercises\u003cbr\u003eBibliography\u003cbr\u003eIndex\u003c\/p\u003e","brand":"Johns Hopkins University Press","offers":[{"title":"Default Title","offer_id":49408116556119,"sku":"9781421417288","price":84.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781421417288.jpg?v=1730501645","url":"https:\/\/bookcurl.com\/products\/algebra-in-context-9781421417288","provider":"Book Curl","version":"1.0","type":"link"}