HEART OF MATHEMATICS4th EditionBurger Publisher: WILEYISBN: 9781119760061
HEART OF MATHEMATICS
Solutions for HEART OF MATHEMATICS
Problem 1MS:
What did you say? The message below was encoded using the scheme on page 99. Decode the original...Problem 3MS:
Setting up secrets. Let p=7 and q=17. Are p and q both prime numbers? Find (p1)(q1), the number we...Problem 4MS:
Second secret setup. Let p=5 and q=19. Are p and q both prime numbers? Find (p1)(q1), the number we...Problem 5MS:
Secret squares. Reduce the following quantities: 12 mod 3; 22 mod 3; 32 mod 3; 42 mod 3:52 mod 3; 62...Problem 6MS:
Petit Fermat 5. Compute 24 (mod 5). Compute 44 (mod 5). Compute 34 (mod 5). Oh, what the heck,...Problem 7MS:
Petit Fermat 7. Compute 46 (mod 7). Compute 56 (mod 7). Compute 26 (mod 7). Oh, why not, compute n6...Problem 8MS:
Top secret (ExH). In our discussion, the two public numbers 7 and 143 were given. How would you...Problem 9MS:
Middle secret (H). In our discussion, the two public numbers 7 and 143 were given. How would you...Problem 11MS:
Creating your code (S). Suppose you wish to devise an RSA coding scheme for yourself. You select p=3...Problem 12MS:
Using your code. Given the coding scheme you devised in Mindscape 11, show how a friend would encode...Problem 13MS:
Public secrecy. Using the List in Mindscape 12, with the public numbers 7 and 143, how would you...Problem 14MS:
Going public. Using the list in Mindscape 12, with the public numbers 7 and 143, how would you...Problem 15MS:
Secret says (H). Using the list in Mindscape 12, with the public numbers 7 and 143, and decoding...Problem 16MS:
Big Fermat (S). Compute 5600 (mod 7). (Hint: Recall your answer to Mindscape 7, Petit Fermat 7.)...Problem 17MS:
Big and powerful Fermat (ExH). Recall how exponents work, for example, 715=7(12+3)=71273. Now, using...Problem 18MS:
The value of information. How large should the primes p and q be in the RSA coding scheme? Of...Problem 19MS:
Something in common. Suppose that p is a prime number and n is a number that has p as a factor. What...Problem 20MS:
Faux pas Fermat. Compute 15 mod 6, 25 mod 6, 35 mod 6, 45 mod 6, and 55 mod 6. What if you raise the...Problem 21MS:
Breaking the code. If you could factor a large public number into its two prime factors, how could...Problem 22MS:
Signing your name. Suppose you get a message that claims to be coming from your friend Joseph...Problem 28MS:
FOILed! FOIL the expression (a1)(q1). Suppose you know that ab=323 and that (a1)(q1)=288. Use these...Problem 29MS:
FOILed again! FOIL the expression (x1)(y1). Suppose you know that xy=91 and that (x1)(y1)=72. Use...Browse All Chapters of This Textbook
Chapter 2.1 - CountingChapter 2.2 - Numerical Patterns In NatureChapter 2.3 - Prime Cuts Of NumbersChapter 2.4 - Crazy Clocks And Checking Out BarsChapter 2.5 - Public Secret Codes And How To Become A SpyChapter 2.6 - The Irrational Side Of NumbersChapter 2.7 - Get RealChapter 3.1 - Beyond NumbersChapter 3.2 - Comparing The InfiniteChapter 3.3 - The Missing Member
Chapter 3.4 - Travels Toward The Stratosphere Of InfinitiesChapter 3.5 - Straightening Up The Circ LeChapter 4.1 - Pythagoras And His HypotenuseChapter 4.2 - A View Of An Art GalleryChapter 4.3 - The Sexiest RectangleChapter 4.4 - Soothing Symmetry And Spinning PinwheelsChapter 4.5 - The Platonic Solids Turn AmorousChapter 4.6 - The Shape Of Reality?Chapter 4.7 - The Fourth DimensionChapter 5.1 - Rubber Sheet GeometryChapter 5.2 - The Band That Wouldn't Stop PlayingChapter 5.3 - Knots And LinksChapter 5.4 - Fixed Points, Hot Loops, And Rainy DaysChapter 6.1 - Circuit TrainingChapter 6.2 - Feeling Edgy?Chapter 6.3 - Plane Old GraphsChapter 6.4 - NetworkingChapter 7.1 - ImagesChapter 7.2 - The Infinitely Detailed Beauty Of FractalsChapter 7.3 - Between DimensionsChapter 7.4 - The Mysterious Art Of Imaginary FractalsChapter 7.5 - The Dynamics Of ChangeChapter 7.6 - Predetermined ChaosChapter 8.1 - Chance SurprisesChapter 8.2 - Predicting The Future In An Uncertain WorldChapter 8.3 - Random ThoughtsChapter 8.4 - Down For The CountChapter 8.5 - Drizzling, Defending, And DoctoringChapter 9.1 - Stumbling Through A Minefield Of DataChapter 9.2 - Getting Your Data To Shape UpChapter 9.3 - Looking At Super ModelsChapter 9.4 - Go FigureChapter 9.5 - War, Sports, And TigersChapter 10.1 - Great ExpectationsChapter 10.2 - RiskChapter 10.3 - Money MattersChapter 10.4 - Peril At The PollsChapter 10.5 - Cutting Cake For Greedy People
Sample Solutions for this Textbook
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More Editions of This Book
Corresponding editions of this textbook are also available below:
Heart Of Mathematics: An Invitation To Effective Thinking
2nd Edition
ISBN: 9781931914512
The Heart of Mathematics: An Invitation to Effective Thinking
4th Edition
ISBN: 9781118156599
The Heart Of Mathematics: An Invitation To Effective Thinking 4e Binder Ready Version + Wileyplus Registration Card
4th Edition
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HEART OF MATHEMATICS >P<>CUSTOM<
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ISBN: 9781118747865
EBK THE HEART OF MATHEMATICS: AN INVITA
4th Edition
ISBN: 9781119668282
The Heart of Mathematics: An Invitation to Effective Thinking, WileyPLUS NextGen Card with Loose-leaf Set Single Semester: An Invitation to Effective Thinking (Key Curriculum Press)
4th Edition
ISBN: 9781119760054
HEART OF MATHEMATICS-ACCESS CARD
4th Edition
ISBN: 9781118452363
The Heart of Mathematics: An Invitation to Effective Thinking 4e + WileyPLUS Registration Card
4th Edition
ISBN: 9781118556825
HEART OF MATHEMATICS-WILEYPLUS/BLACKB.
4th Edition
ISBN: 9781118567784
EBK THE HEART OF MATHEMATICS: AN INVITA
4th Edition
ISBN: 8220102005952
HEART OF MATHEMATICS WILEYPLUS
4th Edition
ISBN: 9781119139089
EBK HEART OF MATHEMATICS
4th Edition
ISBN: 9781118544280
The Heart Of Mathematics: An Invitation To Effective Thinking
4th Edition
ISBN: 9781118235706
HEART OF MATHEMATICS (LOOSE)-W/ACCESS
4th Edition
ISBN: 9781118569917
The Heart of Mathematics
4th Edition
ISBN: 9781118371060
HEART MATHEMATICS WILEY PLUS BB ACCESS
15th Edition
ISBN: 9781119193173
HEART OF MATHEMATICS-W/MANIPULATIVE KIT
4th Edition
ISBN: 9781118615799
The Heart of Mathematics: An Invitation to Effective Thinking
3rd Edition
ISBN: 9780470424766
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