SØG - mellem flere end 8 millioner bøger:

Søg på: Titel, forfatter, forlag - gerne i kombination.
Eller blot på isbn, hvis du kender dette.

Viser: Methods of Solving Number Theory Problems

Methods of Solving Number Theory Problems

Methods of Solving Number Theory Problems Vital Source e-bog

Ellina Grigorieva
(2018)
Springer Nature
527,00 kr.
Leveres umiddelbart efter køb
Methods of Solving Number Theory Problems

Methods of Solving Number Theory Problems

Ellina Grigorieva
(2018)
Sprog: Engelsk
Birkhauser Verlag GmbH
569,00 kr. 284,00 kr.
På lager, Bestil nu og få den leveret
om ca. 2 hverdage
  • Klik for at bedømme:
  • 0.0/6 (0 bedømmelser)

Detaljer Om Varen

  • Vital Source E-book
  • Udgiver: Springer Nature (Juli 2018)
  • ISBN: 9783319909158
Through its engaging and unusual problems, this book demonstrates methods of reasoning necessary for learning number theory. Every technique is followed by problems (as well as detailed hints and solutions) that apply theorems immediately, so readers can solve a variety of abstract problems in a systematic, creative manner. New solutions often require the ingenious use of earlier mathematical concepts - not the memorization of formulas and facts. Questions also often permit experimental numeric validation or visual interpretation to encourage the combined use of deductive and intuitive thinking.  The first chapter starts with simple topics like even and odd numbers, divisibility, and prime numbers and helps the reader to solve quite complex, Olympiad-type problems right away.   It also covers properties of the perfect, amicable, and figurate numbers and introduces congruence.  The next chapter begins with the Euclidean algorithm, explores the representations of integer numbers in different bases, and examines continued fractions, quadratic irrationalities, and the Lagrange Theorem. The last section of Chapter Two is an exploration of different methods of proofs. The third chapter is dedicated to solving Diophantine linear and nonlinear equations and includes different methods of solving Fermat’s (Pell’s) equations. It also covers Fermat’s factorization techniques and methods of solving challenging problems involving exponent and factorials. Chapter Four reviews the Pythagorean triple and quadruple and emphasizes their connection with geometry, trigonometry, algebraic geometry, and stereographic projection.  A special case of Waring’s problem as a representation of a number by the sum of the squares or cubes of other numbers is covered, as well as quadratic residuals, Legendre and Jacobi symbols, and interesting word problems related to the properties of numbers. Appendices provide a historic overview of number theory and its main developments from the ancient cultures in Greece, Babylon, and Egypt to the modern day.  Drawing from cases collected by an accomplished female mathematician, Methods in Solving Number Theory Problems is designed as a self-study guide or supplementary textbook for a one-semester course in introductory number theory. It can also be used to prepare for mathematical Olympiads. Elementary algebra, arithmetic and some calculus knowledge are the only prerequisites. Number theory gives precise proofs and theorems of an irreproachable rigor and sharpens analytical thinking, which makes this book perfect for anyone looking to build their mathematical confidence.
Licens varighed:
Online udgaven er tilgængelig: 365 dage fra købsdato.
Offline udgaven er tilgængelig: ubegrænset dage fra købsdato.

Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)

Detaljer Om Varen

  • Hardback
  • Udgiver: Birkhauser Verlag GmbH (Juli 2018)
  • ISBN: 9783319909141
Through its engaging and unusual problems, this book demonstrates methods of reasoning necessary for learning number theory. Every technique is followed by problems (as well as detailed hints and solutions) that apply theorems immediately, so readers can solve a variety of abstract problems in a systematic, creative manner. New solutions often require the ingenious use of earlier mathematical concepts - not the memorization of formulas and facts. Questions also often permit experimental numeric validation or visual interpretation to encourage the combined use of deductive and intuitive thinking. 

The first chapter starts with simple topics like even and odd numbers, divisibility, and prime numbers and helps the reader to solve quite complex, Olympiad-type problems right away.   It also covers properties of the perfect, amicable, and figurate numbers and introduces congruence.  The next chapter begins with the Euclidean algorithm, explores the representations of integer numbers in different bases, and examines continued fractions, quadratic irrationalities, and the Lagrange Theorem. The last section of Chapter Two is an exploration of different methods of proofs. The third chapter is dedicated to solving Diophantine linear and nonlinear equations and includes different methods of solving Fermat's (Pell's) equations. It also covers Fermat's factorization techniques and methods of solving challenging problems involving exponent and factorials. Chapter Four reviews the Pythagorean triple and quadruple and emphasizes their connection with geometry, trigonometry, algebraic geometry, and stereographic projection.  A special case of Waring's problem as a representation of a number by the sum of the squares or cubes of other numbers is covered, as well as quadratic residuals, Legendre and Jacobi symbols, and interesting word problems related to the properties of numbers. Appendices provide a historic overview of number theory and its main developments from the ancient cultures in Greece, Babylon, and Egypt to the modern day. 

Drawing from cases collected by an accomplished female mathematician, Methods in Solving Number Theory Problems is designed as a self-study guide or supplementary textbook for a one-semester course in introductory number theory. It can also be used to prepare for mathematical Olympiads. Elementary algebra, arithmetic and some calculus knowledge are the only prerequisites. Number theory gives precise proofs and theorems of an irreproachable rigor and sharpens analytical thinking, which makes this book perfect for anyone looking to build their mathematical confidence.
Preface
- Numbers: Problems Involving Integers. - Further Study of Integers. - Diophantine Equations and More. - Pythagorean Triples, Additive Problems, and More. - Homework.
De oplyste priser er inkl. moms

Polyteknisk Boghandel

har gennem mere end 50 år været studieboghandlen på DTU og en af Danmarks førende specialister i faglitteratur.

 

Vi lagerfører et bredt udvalg af bøger, ikke bare inden for videnskab og teknik, men også f.eks. ledelse, IT og meget andet.

Læs mere her

Trykt eller digital bog?

Ud over trykte bøger tilbyder vi tre forskellige typer af digitale bøger:

 

Vital Source Ebog: En velfungerende ebogsplatform, hvor bogen downloades til din computer og/eller mobile enhed.

 

Du skal bruge den gratis Bookshelf software til at læse læse bøgerne - der er indbygget gode værktøjer til f.eks. overstregning, notetagning mv. I langt de fleste tilfælde vil du samtidig have en sideløbende 365 dages online adgang. Læs mere om Vital Source bøger

 

Levering: I forbindelse med købet opretter du et login. Når du har installeret Bookshelf softwaren, logger du blot ind og din bog downloades automatisk.

 

 

Adobe ebog: Dette er Adobe DRM ebøger som downloades til din lokale computer eller mobil enhed.

 

For at læse bøgerne kræves særlig software, som understøtter denne type. Softwaren er gratis, men du bør sikre at du har rettigheder til installere software på den maskine du påtænker at anvende den på. Læs mere om Adobe DRM bøger

 

Levering: Et download link sendes pr email umiddelbart efter købet.

 


Ibog: Dette er en online bog som kan læses på udgiverens website. 

Der kræves ikke særlig software, bogen læses i en almindelig browser.

 

Levering: Vores medarbejder sender dig en adgangsnøgle pr email.

 

Vi gør opmærksom på at der ikke er retur/fortrydelsesret på digitale varer.