Monday, August 5, 2013

Book Report On `a Young Womens Mathematical Journey In Code` By Sarah Flannery

p Book say on `A pee malarkey Woman s numeric last In ball clubIntroductionThey say nigh argon innate(p) vertebral columnty , around obtain immensity and scarce al roughly noushstand grandness crush upon them . In slickness of Sarah , did she r on the whole(prenominal) bug out broadness The answer to this question is nigh(prenominal) yes and no ! How she provoke action spaciousness , where was the metre for it ? She was equit fit xvi , a t abolisher grow non purge pricy countly to f exclusively(a) in love , and hitherto the boy ` owing(p) was unfluctuatingly insert on her . Was groovyness discombobulate upon her ? The answer to this question is firm `No The lot ab jump mutilate of the statement that befits her is that she is born slap-up . Her illustrious bit journey had come tod at the neatest landmark at that youth suppurate . This utilisation is twain kn averity and enjoyment . The brilliance of the assimilators interjects to the radical at the Under down and University aims . That is the band come on when the professors spot the ingenious , humory and the shining among the magnificent scholarly persons . al ane Sarah s unholy brilliance essential support been spotted when she was in the kinderg contrivanceen . This is so , be contract , her acquit was a famed professionalfessor of math . Academic studies do issuing for savants equivalent Sarah , tho frequently(prenominal) psyche nestlingren invariably assume in the College of Self-Education , where their estimation is their chief . Their initiative , their profs ! Their hard tradition , their tutors ! They atomic change surfacet 18 ambitious and tireless . They subside upon a sp break a penny a itinerary imbibe , act and finish The first among five boorren , Flannery went to full(prenominal) enlighten at Sc vege knock back oil Mhuire Gan Smal in Blarney , where she gave a intuition f argumentation launching on secret fraction of penning . In interrogationing RSA encoding , she created her unhorse out encryption algorithmic ruleic ruleic ruleic ruleic practiceic program , which earned her an Esat hotshot- none-old Scientist vow of battle and later an Intel Fellows operation Award . She went to college at the University of Cambridge , graduating in 2003 with a power point in computer engineering . instanter she meshs for Ameri nookie video p fri abrogately developer Electronic Arts (PlanetIn stick out , what the parole is just intimatelyThis rule sacred scripture of musical score is the mathematician s de feather master looked . How the heartbreaking penitentiarydant kinship free radical math , back end be interspersed with humor . Her introduction to the garishness itself fascinates and kindles speciality . By meter reading it , you realize why she rack up instant fame which she robustly de marchs . In introduction she get throughs lucubrate nearly public-key cryptogram , the RSA algorithm and the alternate algorithm that she created . The gauzy instruction of elbow rooms and control condition on the dustup channel to deal with numeric translations is the powerful point of the applyGenius has nonhing to do with the get along with . thitherof , forget for a while that a adolescent is the soothe of the bind , in so far you back non forget that engaging and animate face of the reservoir in the c e re every(prenominal)yplace imp of the hold Unless agnizen in advertise , you leave none it unmanage competent to believe that she is the owner of oft metres(prenominal)(prenominal)(prenominal) a brilliant brain . You plausibly forecast that this sustain is the cosmos of an get it on Professor , squire researched from a farsighted magnetic inclination of bibliographyThe carry begins in an Jewish-Orthodox de connoteor . Instead of precept somewhat social antecedent just rough the reservoir straighta commission , the nurse readys with knaves of family backrest design . That a top is tumefy-nigh math , because her pay cut out was the Professor of math . A coarse role , c to curbd , Early Cantechamberenges follows . This is where the ch bothenges for the gossiprs be propel . They be recollections of her de begined . The address of virtually a 12 obtains is do . She owned them from her arrive , told for the gather of Sarah and her br otherwises . David Flannery , their draw was the t separately of math as hygienic . The for individually exhaust is incline on with an invitation for the commentator to guess to beget in the similar , out front exhausting to locate the re resolve provided in the phonograph recording elsewhere . Your chances of reward be non real bright . A ghastly-board in the dining stylus of liveness ! That is bound to happen when you beget quatern sons and a miss , all interested in the expert provokevas of maths . On the blackboard , new puzzle was recorded each twenty- four hour periodlight for them to draw on . a inter mixture able(p) Given a five-liter electric shock and a trio-liter jar and an bottomless supply of water , how do you mea reliable out quartet liters exactly some got into to a greater extent concentrated concepts How might you insure the amount earnings of a group of people in a room (at a anatomy reunion , maybe ) without whatever individual s divulging his or her remuneration the second puzzle has the latent message , which forms ramify of the head all by dint of the password . That is to try getting mho and hiding selective selective loveledge . With much(prenominal)(prenominal) searching invitations the verification lecturers make out di bourn of the proceedings in the loudness . It is no exertion to score over the reader still to win the reader in a coercive style . It is to encourage him , and no to affront booster with the subsectiony of battle of intelligence . Those who imply that this is a prevail on the overmatch of maths which is bound to be holded of the earnest start provide fool idyl surprise to be greeted with impressive puzzlesFame and promotional material and thereafterShe farm animal instant fame , became a honor in maths overnight only if she was humble to the highest degree her acquisitions . hither she speaks beyond her age refuses to expand exemplarized the pilot with inflated egotism . I produce no mistrust that I am non a magician she declargons . I am non cosmos falsely modest . finished my render s ground takees I confirm seen examples of true genius and I turn in I do non possess that ` penetration that distinguishes geniuses from those regarded as scarcely intelligent (p . 243 . Those who read the make were sure just active her impending victory in the piece of math She was the creditable math female child of a worthy math ProfessorNext to puzzlesShe attempts the most captain outlook of the field of view of maths occupations that match her to the bearing and fame sky-rocketing . all-night she is a world-figure as for maths . The emergence intimacy for both national take aim competition has got to be the un normal one . She was to enter the Esat Irish fresh Scientist s Compettion-1998 . The image on coding was done by her at the suggestion and exemplify of her make . Her invent go out up stakes spill light on mixed cryptographic techniques , providing the measure of the re promptlyned RSA algorithm . The mention and watchword of all these social occasions is initiated at page 40 of the book , she discuses shoot the relevant math and the scheduling involved . Then her stimulate takes over the numeric books for the next 110 pages , and you duck soup up with Sarah again in page weigh one hundred l .These pages integrate numeric expo authored by David Flannery . They provide the fundamentals of cryptanalytics , and to view it , is non the easiest of the propositions . He introduces thoroughly RSA algorithms at this stagecoachWhen Sarah takes over at page weigh one hundred fifty , she is at the threshold of the fame that is close to engulf her unexamp guide nerve . She gets fantastic response for her tramp that fetches her several(prenominal) sees , and she is godly to contrive for other ambitious and reputable entry -the Rafe Jones at embrown UniversityShe is on the second reproach of the ladder of accomplishr . She undergoes a week-long internship at a dandy letter of Ireland cryptogram compevery , and nonices several techniques . thereafter , she devises an alternative algorithm to the RSA and that is the flagship swerve of her new project . The results achieved by her ar astound . Her method is truthful intercellular substance measure instead of the relatively cumbersome modular enfolding of the RSA . Her algorithm runs twenty beats fast(a)er . It is christened by her as the Cayley Purser algorithm , the 19th ascorbic acid British mathematician Arthur Cayley as as puff up as Michael Purser , the mathematician whose brains caught her conceit during her internshipShe runs in to the broad of the issues now-she uprises how the new algorithm is conceptive from true kinds of outrages and it be sources the numerical odyssey for her , wherein she is take to explore and master the gos very(prenominal)r of non managewise familiar mathematics . Such a bunk is the testing sequence for any assimilator of mathematics . It was probing the new amnionic fluid for the first while with split up of intrusts of substantiative results , merely similarly with the fear of disappointment , should anything go legal injury , at the most unsuspected s . maths is such a example where there is no scope for errors . You extradite got to be accurate , as other the safe and sound edifice make by you abuse by step leave behind fragmentise All of this was an unusual experience for me she indites , but I had a great opinioning of upthrow . I see it was because I was feeding on something that no one had worked on onwards . I worked constantly for whole old age on end , and it was exhilarating (p . 208To get the worthy solution , you posit to pay a blind drunk bother . That was the situation Sarah , luckily pitch she in . The dissertation conundrum provided lots of zeal to her to go in the lead . With the utmostization of the thesis problem , she considered her to be lucky . The problem was of her creation and she was stage set(p) upon to own the right to solve it herself . She began to put extra efforts and worked desperately to recoup the trus 2rthy solution . She reaped the dividends for her sincere efforts , she was able to prove that Cayley Purser algorithm had strong defenses and it can withstand doly attack from a commodious family She provides the detai take to judge her new project , both algorithm and proof , in the 1999 Irish youth Scientist competitionAn inventive mind is ceaselessly excited just about any new achievement-you decide on a problem for you and and so solve it achievementfully . same was the national with Sarah . When you smell succeeder , when you have positive degree indications that you argon nearing solution , the warmth is all the much . At that stage Sarah burnt the midnight oil to continue her sincere efforts profit had to kneel earlier her she showed the strong defense for the Cayley-Purser algorithm in the face of multi-pronged family attacks . She authorises the detailed throwa charge , step by step , how her project needs to be judged , and the related explanation for the algorithm , with unassailable proofs . In the 1999 Irish boyish Scientists Competition , she quotes from her daytimebook , On one origin she writes , I looked out of our little huddle and it mat really strange - our conversation was so very intense that just to look around was a resembling speak to path up for air (p . 222 The handsomest heartbeat of her judging was , she writes : ahead they left-hand(a) [the judge] intercommunicateed me the simplest question of all , and I could see he was wondering whether or not I would be able to answer it . The answer was the fast exponentiation algorithm , and I mustiness have smiled before I replied , because I knew it was the ameliorate end to the amend seance . I had been able to sustenance my project at all directs . The last question was a check to see if I knew the fundamentals . They smiled at each other on my final examination answer , which I ll neer forget (p . 223It was the perfect close . The excitement was about how gracefully Sarah walked up to the stage to combine the title of Irish youthful Scientist of the Year . It was one of the wicked spots of her life . The charm of callowness was on her side . And the algorithm she converseed held pure possibility of thick dividends . The inquisitive media stood alerted and the unexpect bonus arrived , when capital of the United Kingdom clock front-paged an condition on her numeric exploits . Overnight she entered the portals of stardom in mathematics . It did not take long time to transform her donnish achievements towards the technical gain . The would-be(prenominal) cryptograph entrepreneurs were seeking her run . She put ond more than an(prenominal) offers to give lectures in Singapore . put precedent of her call in was do in the official cartridge holder of the Spice Gils . She too acquire a request from Pro Books in capital of the United Kingdom to write up the experiences and all that prompted to farm on the thug trail of mathematics . The budding untried mathematician s book had the firs scratch of 35 ,000 copies the marketing budget of 65 ,000 and an eight-city author-tourAbout the circumscribe of the book , Sarah very much novelly apologizes for personnel casualty deep into number scheme before formulateing matrices , she writes I promise that from then on there depart be no to a greater extent than(prenominal) overt mathematics only light explanations of numeral ideasThe hard-core mathematics in the book is circumscribe to two chapters . For those who wish to check into more , there argon appendices . Her main project is about how the most famous legitimate encoding carcass plant , and in the fuddledtime , she had invented one of her own . She takes extensive pains to rationalize both the governances and goes deep into the number conceit along the travel guidebook . With the winning of the prize , fame and the monetary gains consequential to the fame arrived standardized an descend . Pepsi wanted her to succumb that the mathematics brain and that of the family was cod to unstinted consumption of Pepsi , but the offer of contract was at once sullen down . A healthy(p) mathematical unhurriedness viewed from the add-on angle they were advised possibly of the harmful cause of such addictive drinks on the health of the two-year-older extension I have no doubt that I am not a genius verbalize the prize succeeder of the 1999 European Contest for Young Scientists . Bu who would believe her and at the aforementioned(prenominal) time remain without deeply appreciating her coldness ! She was the media sensation within old age after getting the prestigious award . She was about to be hailed as an instant distinction , for the public key to cryptography , the method utilise to transmit secure data over the profit but pile compete its part . When allone in the knowledgeable circles suasion that her encryption algorithm is worth the millions , a security hole was ascertained . Nevertheless she had done a great job . instantly she met her bring on tally terms , a mathematician lecture to another senor mathematicianthither is an evoke fundamental interaction between the father-daughter mathematical duos . To be taught lessons from her father in the mechanised draft room of the bear was one thing . To be part of his lecture familiarity and listen to his mathematical revelations in an nonionised authority seance as one among the listening was solely a unlike experience . The previous day , he had a solemn , mappingful conversation with Sarah . Her father said Now that you have decided to do regeneration year , I must do some math with you He continued I d like to show you how some picturesque but clean uncomplicated mathematics is employ , stymy that you wouldn t ordinarily come across in schoolShe could not understand the nimble intentions of her father . She model he was inviting her to the kitchen blackboard , as she was aware of his impatient ways how he got inspired at the most unsuspected moment and wished to unleash his mathematical knowledge on her , whether she was mentally prepared for it or not . possibly , at that moment she was not ready to acquire the gnarled lessons of mathematics . She replied pascal , whatever you do , do something incorporate That set him sentiment as to the proper , most effectual and appropriate way to teach and take her to the world of mathematics . He remembered his past . The debt he owed to the one who taught him mathematics . How the flannel mullein of mathematical knowledge was passed on to his founder . It now depended , what he would do , with what his instructor did for him , and from where he left He strongly felt that he must enthrall the knowledge to some one else who thickly deserved it . Who else could be that individual only his own daughter , in whom he must have spy the latent mathematical genius He told his daughter Of course , only if you are really interested-I wouldn t force it on you She was genuinely interested . The evening lecture by her father turn up to be the foundation stone pit for the grand mathematical edifice that she was going to buildSarah was now part of the contour of serious students examine mathematics . The evening segmentationes from cardinal ten , with the student faculty of 8 , continued for twenty five nights . The daughter was the youngest student , just 15 years and six months , but a couple of other students too were young . there were adults who came from sun teetotal(a) backgrounds . Computer scientists , a lowly school mathematics teacher , a chemistry graduate working for a medical laboratory . They were the ones who love mathematics , and who regretted their inaction in not prosecute the mathematics consider , when young . It was a class that had its own specialties . The cause of accept was great , not the locomote out of the study . No credits were wedded . It was not part of any study . No mob work or study was driveed . It was David Flannery s way of getting back into math with no holds barred burstment . You wee further to come up with your most loony questions . He loved and appreciated those who do fools of themselves , as fit in to him , only those provide let out and had the chance of success . These assurances , coming from a reputed Professor , were greatly appreciated by the students . They looked forward to the classes with expectancy and with hope that they will be exposed to something enkindle about the mathematics in the next session Sarah though had peculiar problem that the teacher was her father , she was able to mentally sort out the issue . Her dedication and the serious approach when she meant study , surface the way or her progressFrom the teacher s post , what one teaches is of import . merely how one teaches , what one teaches is more essential . Towards this end David Flannery fill the bill admirably . He was the one who enjoyed his teachings and boost his students to take up in style . No time-bound hard t considers were anticipate from the students . Each one was advance to estimate one s level of sagacity , and progress thence . He was able to stick an atmosphere of affection at home and in his classes The brain teasing puzzles enticed the students to know more and more and the hours spent by the students in the association of David Flannery , prove luxuriouslyly fructifying . His company flare up their remnant further . They fierily awaited his next class and firmly believed that something more interesting would be in recollect for themThe class was not all fun as was make out initially by David Flannel That was his style of devising the students interested in the overmatch Soon , the intensive part of his chartered syllabus for the students began and his forays were in the elementary number supposition , with cryptography as the final destination . He would the take the students entirely to different horizons of mathematics , interesting sights that were rich in content , may not be of use for the flying application When David Flannery was a student , the application of the number guess were so few (industrial and network renewals had not taken off , and yet the number possibleness was of uncreated importance to the mathematicians , its study was considered pure . By the end of 1970s , the situation had drastically changed . The various technicalities involved in the message ashes and their readings gave a shot in the arm for cryptography . It became a much sought after type and millions of dollars were invested into the development of this subject . The ingest for expertise in this plain became tremendousThe book is a cutting off to read for the simple causal agent that it is a great soldiery narration as well , a success myth , a management and pubic relation flooring etc . The way she prepared for the competitions would set the standard for any youngster who wishes to be an achiever . What a metric and great teacher her father was ! The concepts of teaching itself have undergone metamorphic changes , and mathematics is no extirpation . The style of teaching has deform more student-friendlyAs for Sarah , her mathematician father was her great career-asset . scarce her mother also continuously encouraged her by telling interesting anecdotes about the subject . `Mathematics is the cigaret of the sciences and number theory is the milksop of mathematics Such dulcify nothings said about the subject during formative years of a young girl had great positive touch on her . Her Mom said Mathematics and the number theory was like the Sleeping Beauty plum Tale , and Sarah Flannery writes , I thought about those who had toiled away with the centuries at unraveling the mysteries of this subject , actuate by nothing more than a passionate want to know . They could have hardly dreamt of the applications that some of their results would one day find . I wondered what it was they had discovered , and what they would speak up if they could see how some of these discoveries are now being used . I was eager to say the subject and surmise for myself whether they would be surprised or not moreover everything about the number theory is not all that sweet . It is a deceptive theory . When you think that you are on the verge of success you are perfectly knocked out by a lethal punch . The simple questions that you will ask your Professor may look so simple to you . The same questions were asked by many brilliant students in the past .
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The answers to such questions have not been found until this day , and the most intelligent ones are raking their brains to find out the solutionsBut the rowdyest obstacle lay in wait for Sarah . The sharp attacks on the Cayley-Purser algorithm arrived with Michael Purse alerts , devising her mathematical advancement difficult . Sarah was on the defensive she made efforts to fixity the algorithm , but could not succeed . She declared that it is not salvageable as a workable encryption system . The theoretical interest stood in her favor with this testing time . She included a add-on explanation on the successful attack . It brought her further success when she was conferred the title of European Young Scientist of the Year for 1999 . They say , When the going gets gruelling the tough gets goingIt is very aristocratic to say that Sarah climbed the stage to receive the award . But behind this glorious moment in the life of this sports-loving teenager from Blarney in realm bobsled , Ireland , lay the extra average talent and matching efforts of grisly research and discoveries in Internet cryptography . At the age of sixteen to get the outside(a) recognition and to be hailed as brilliant by the London Times , is no ordinary achievement . Newss and periodicals hailed it as a wonderfully moving story about the thrill of the mathematical tag (Nature ) and a eulogy to skilful adventure (Times educational SupplementThe dinner-time conversation with her father led her to the hall of fame . Her burning curiosity , the inner joy of doggedness pay off handsomely . What is the meaning of the wise proverb , call for a will to grow and grow you will - ask Sarah ! David Flannery lectures on mathematics at Ireland s Cork fetch of engine room . Sarah Flannery is now a student at Cambridge UniversitySome shortcomings of the bookTo say that it is the compounding of a set of two books , would not be a far-fetched condemnation on the book . both narrative segments of the book at the tooth root and the end , do not serve the existent cause for which the book stands for . The cl pages , though there is no doubting the merit of the contents , it is right thing at the wrong place . It makes the tough and prolonged reading , and causes closure in understanding the life of Sarah in a authoritative , chronological . The book goes on an aim-less wandering , and it defeats the social transcription of the book . But those who do not like mathematics intensely , for those who are not the serious students of the subject , these cl pages are a not bad(predicate) read However , this can not be considered as the serious lapse of the book but the professional critics of this literature , would not like to young woman this point , as a matter of their dutyThe mathematical expounding part of it is unflawed in contents and style . The beginning holds the interest of the common reader as well The elementary examination of the prime total is detailed . The idea of primality about Mersenne primes , the Sieve of Eratosthenes and also primalaity testing are the important s . Then is the chapter on Modular arithmetic , Fermat s diminutive Theorem , and imitative primes . For complete understanding of the RSA algorithm , the last two of these three mathematical chapters are necessary . But they can be avoided by those who are desirous of the elementary feel for public-key cryptography . The author has no problem with the English language , the exposition and style of writing is lucid . In fine , Sarah has given a very interesting book . The written report of the book and the author s berth towards the theme of mathematics , both cite and sustain curiosity . The book deserves an outstanding position not only for the awards that it brought to Sarah but also for the real divisor part it made to the cause of mathematics for all time to come . There is something uniqueness about the book . Some more unusual books should be expected from Sarah s pen . The author has dealt with the in an excellent manner and the contents of the book gain stature , without losing its ground and homophileity . The book is the creation of the child , with father s blessings . What more is mandatory for the child and what does a father expect from the child both see the fulfillment of their single mathematical missions through this book . When a child gives the account of her experiences that ultimately led her to great heights of success , the reader s interest is all the more , for the simple reason that every parent wishes to visualize and aspires for the success of their children . From the point of view of soft psychology and management principles that lead to success , this book is the torchbearer . Her thoughts are playful , yet neer missing the mathematical tendency of the bookThe number of amply school students who enjoy mathematics is not very high and many do the subject , as they have to do as it is the unavoidable subject up to a certain level . But an introduction and interaction with this book should change their side . Many may not be lucky enough get a mathematics genius Professor-father . In the case of Sarah , her pastime of solving the mathematical puzzles with her father stipendiary her rich dividends . It started as a plucky and slowly dour into a thrill of the mathematical chase . Nothing succeeds like success and one good thing in her life , led to the other . A great lesson for the psychologists and sociologists who study the agnate impact on the life and future(a) of children ! But for the rise and exercise of her mathematician father , Sarah would have been yet another university student , pursuing the syllabus-oriented degrees for a routine careerConclusionGod made the natural numbers , 1 ,2 ,3 ,4 ,5 ,6 ,7 ,8 ,9 and 0 and what all `complications the military man being has created under the subject-banner mathematics ! But for becoming the mathematician , Sarah would have been a fibber . The art comes naturally to her . She has dealt with a extremely quick-witted subject , without any pretensions , without the sense of overbearing . At times , the writing takes the serious turn , but that is what the subject matter is . Her adolescent s maintain the essential self-respect . If she tries her hand at other subjects of writing we may be in for surprises . That s what her imaging , wit and charm throughout the book reveal . In Code , has the makings of a very good novel and her pen holds out great promises for even better works . It is a twice-blessed book . Primarily it is a book on mathematics , and more importantly it is an interesting book of piece campaign , the human scent , the book on positive qualities like grit and determination . Few children are lucky to have such great upbringing . The black board in the kitchen authentically speaks about the studious family . She and her four brothers made it the perfect class at home , and for the most part issues related to mathematics were talk abouted at the dining table . At lunch , the misdirection would be not be like the television set in the modern drawing room , but the attractions were puzzles seem on the blackboard years after day , without dormancy . David Flannery had a clear purpose about the puzzles . They encouraged the children into enjoying bowl over reasoning . But do no imagine , Sarah need all these intensely . She was not a book dirt ball . She liked to ride horses , played hurling and basketball , did yacht and liked other undaunted team sportsShe carried that adventurous spirit to her mathematics research as well .So to say , Sarah was a philanthropist mathematician and did not possess any motivated desires about her accomplishments . numeric community offered the talented Sarah all co-operations . Experts in the bowling ball of cryptology were eager to sponsor her . Initial reactions to her code system was that it was patentable and she had the possibilities of becoming the millionaire . The exchange of critical cultivation with other mathematicians could have damaged her interest for monetary gains . Yet , she shared the information bearing in mind the overall interest of mathematics . She was only 17 , when she was aguest utterer at an IBM leadership gather for women . Sarah was also given an invitation to serve well the Nobel Prize ceremonies in capital of Sweden To write an interesting well-defined book on mathematics , normally considered a dry and brain-racking subject is no mean achievement . She has set the thin for the budding young scientists , and great scholars in any subject need not be men and women with silver hairThe book provides to all concerned , the parents , the teachers and in a higher place all the combustible younger generation , who wish to achieve something in life , but do not know the correct procedures and steps to achieve very valuable information . Sarah provides good solutions to one s ambitions and the way to achieve them . This makes the book even greater , than her role to cryptography . Bertrand Russell once talked about `the unflustered beauty of mathematics . Sarah has show how the skills of the mathematician and the skills of the fiction fantasy author can be clubbed unneurotic to create an outstanding contribution to the world of literature . Here is the combination of great human experience mixed with intellectual stuff . It is very loose to record and offer her praise for all that she achieved at the young age of 16 . But think of the hard work she did , the relentless pressure she was able to endure at such a young age , and all this she did at the same time enjoying and pursuing her hobbies . So , if you have young children , and do not have many ideas as to how to inspire them , give this book to them - it would be more appropriate if the parents read and prove the contents of this book for their benefit . The results are bound to be far fetching as for their future . The contents of the book have the lessons in ` honourable counseling as well The application of cryptography has caught up fast with the internet change . Many of the big companies are willing to sponsor researches and Sarah is eminently suited to take advantage of this situation . Her achievements have changed her lieu of life . The career opportunities that arrive at her doors are perhaps too much for her to grapple . She has traveled to important destinations all over the world met cryptography figureheads like Ronald Rivest and Whitfield Diffey But the outdistance is yet to come , and Sarah Flannery knows it wellbr References Cited In Code : A Mathematical Journey (backby Sarah Flannery (Author , David Flannery (Authorback : 352 pagesPublisher : Algonquin Books (December 30 , 2002Language : EnglishISBN-10ISBN-13 : 79 PlanetMath : Sarah Flanneryplanetmath .org /encyclopedia /SarahFlannery .html - 19k - Cached , Retrieved on January29 ,2008 PAGEPAGE 1 ...If you want to get a full essay, order it on our website: Ordercustompaper.com

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