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  • Summing-up
  • Summing-up
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  • Synonyms for summing-up at westernkentuckyvsfloridaintllive.us with free online thesaurus, antonyms, and definitions. Find descriptive alternatives for summing-up. Summing-up definition is - the act or statement of one who sums up. Define summing-up (noun) and get synonyms. What is summing-up (noun)? summing-up (noun) meaning, pronunciation and more by Macmillan Dictionary.


    Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem.

    Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers. However, also mathematicians who do not have number theory as their main focus will enjoy this book. This is an excellent piece of mathematical writing. Like the other volumes it takes the readers on a guided tour through parts of modern number theory by starting with very elementary notions.

    There is no doubt that a conscientious [reader] will gain real understanding of the many topics being discussed. They start by adding up finite sequences and whole numbers before journeying to the upper reaches of contemporary developments in number theory.

    The Power of Mathematical Thinking "With joy and reflection, Summing It Up encourages readers to work alongside the authors to engage in simple computations with profound implications. It progresses elegantly to an insightful discussion of the ideas behind the classical theory of modular forms.

    The Power of Mathematical Thinking. Plentiful and accurate references are available for interested readers who want to look up further information. Their book adopts the voice of a wise elder telling math stories to precocious children. It will interest readers of all ages who seek a window into current mathematics.

    With a crisp yet conversational style and excellent examples, Ash and Gross explain a great amount of interesting and important math. It can be read by those with many different levels of mathematical background. I thoroughly enjoyed it. Would you like to tell us about a lower price?

    If you are a seller for this product, would you like to suggest updates through seller support? Read more Read less. Add all three to Cart Add all three to List. One of these items ships sooner than the other. Buy the selected items together This item: Ships from and sold by Amazon. Customers who bought this item also bought. Page 1 of 1 Start over Page 1 of 1.

    Curves, Counting, and Number Theory. Prime Numbers and the Riemann Hypothesis. Proofs from the Inside Out. Review "Offers a clear and beautiful progression from addition to modern number theory. A Lively Introduction with Proofs, Applications, and Stories "A well-motivated and fun introduction to some very deep topics in mathematics, Summing It Up takes readers on a mathematics tour starting with very classical material and building towards some amazing recent work, with many highlights along the way.

    Princeton University Press May 17, Language: Start reading Summing It Up: Don't have a Kindle? Try the Kindle edition and experience these great reading features: Share your thoughts with other customers. Write a customer review. Showing of 10 reviews.

    Top Reviews Most recent Top Reviews. There was a problem filtering reviews right now. Please try again later. I have the earlier two books by Ash and Gross. I particularly like "Elliptic Tales," and so was anticipating this introduction to modular forms.

    But this book doesn't quite work. The book is divided into three parts -- 1 finite sums, 2 infinite sums, and 3 modular forms. The recurring theme that binds together the three parts is expressing numbers as sums of squares and of calculating the number of ways this can be done. In this connection, Bernoulli numbers and functions allow the authors to segue from the first part to the second. The discussion of Bernoulli numbers, the Riemann zeta-function, and generating functions is woefully brief -- considering the conceptual leap required from the first part to the second and considering that the target readership is assumed to have no background in complex analysis.

    But this is a minor quibble. The third part attempts to introduce modular forms and in this connection discusses SL2 Z , fundamental domains, q-expansions, dimensions of vector spaces of modular forms, Hecke operators, and L-functions. Worse, the trends are in the wrong direction. The social mobility fostered by the old grammar school system is now in reverse.

    It says the state should subsidise places for gifted children at independent schools "in a greatly expanded version of the old assisted places scheme.

    That is unlikely to happen. The Times and the Telegraph run with efforts to tweak bad behaviour in children and adults. The Times says speed humps will be replaced with cameras in a number of 20mph zones, while the Telegraph reports that the Food Standards Agency has recommended a ban on the TV advertising of junk food before 9pm.

    The food industry tells the paper it has become a soft target. Push for ban on junk food ads before 9pm. The Guardian's splash tries to put the boot firmly into notions that the government has gone soft on sentencing.

    It says that more than a thousand offenders have been jailed in the past year without a fixed release date under "public protection sentences". Plans for so-called "custody plus" - a more liberal regime for some offenders - have also been postponed.

    It was a "privilege" to hear Tony Blair coining a new soundbite in the Commons yesterday, says Simon Hoggart. The Sun reports happily that Mr Blair has "ordered a huge crime shake-up within weeks" thanks to its campaign. There will be a bill "by November" to change sentencing guidelines "so out-of-touch judges can get it right EVERY time".

    Police found GBP38, in cash at their home, but the men - a postal worker and a shelf-stacker - did not tell them how they came by it. GBP38k in 'terror' house. George Bush announced a new security regime in Baghdad during his visit earlier this week.

    According to the Herald Tribune, this mostly involved searches of gloveboxes and car boots, while "the usual neighbourhoods crackled with firefights". It notes that the last crackdown, a year ago, foundered after Sunnis accused armed forces of arresting people indiscriminately and killing bystanders. The Tribune also reports that two and a half per cent of the Iraqi population have fled since the invasion - chiefly to Syria and Jordan.

    The British Territorial Army is also suffering a post-invasion exodus, according to the Telegraph. The force is now 7, troops below full strength.


    summing-up meaning, definition, what is summing-up: a statement giving the main facts but no: Learn more. Summing-up definition, a summation or statement made for the purpose of reviewing the basic concepts or principles of an argument, story, explanation. summing-up definition: 1. a speech made by a judge or lawyer to the jury towards the end of a trial, telling them again about the main matters they should.

    Frequently bought together



    summing-up meaning, definition, what is summing-up: a statement giving the main facts but no: Learn more.


    Summing-up definition, a summation or statement made for the purpose of reviewing the basic concepts or principles of an argument, story, explanation.


    summing-up definition: 1. a speech made by a judge or lawyer to the jury towards the end of a trial, telling them again about the main matters they should.


    Define summing-up. summing-up synonyms, summing-up pronunciation, summing-up translation, English dictionary definition of summing-up. n. pl.


    In a trial, the judge's summing-up is the speech the judge makes at the end of the trial to remind the jury of the evidence and the main arguments of the case they.


    Definition of summing-up - a restatement of the main points of an argument, case, etc.


    summing-up definition: noun pl. sum·mings-up, A summary, often including an assessment.

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