Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Methods of Solving Number Theory Problems

Methods of Solving Number Theory Problems

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783319909141
Condition
New
Product Description

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 therepresentations 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 Fermats (Pells) equations. It also covers Fermats 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 Warings 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.

Available Colors
Available Sizes
1 Offer Price Range: $39.99 - $39.99
BEST PRICE

Single Product Purchase

$36.00
@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$39.99 $39.99

10% OFF
This deals requires coupon Get Code Here
$36.00
See Site In stock Visit Store

Similar Products

Knot Theory

$44.99

The Adventures of Jovani and Alejandro

$5.21

Neural Information Processing

$109.99

Aspekte und Dimensionen der Bewerbermarkt-Segmentierung

$17.99

First Comprehension: Nonfiction

$8.99

The Girl Who Speaks Bear (Hardcover)

$12.74

Thinking About Space and Time

$129.99

Spinal Phlebography

$99.00

Contextual Development Economics

$109.99

Use of Quinolones in Travel Medicine

$109.99

Grete Henry-Hermann: Sittlichkeit und Vernunft

$64.99

Introduction to 3D Game Engine Design Using DirectX 9 and C#

$34.99

Die anatomische Rekonstruktion der Vulva nach weiblicher Genitalverstmmelung/-beschneidung (FGM/C)

$59.99

Unternehmensfhrungslehre

$59.99

Network and Parallel Computing

$54.99

Familiensoziologie

$39.99

Forensic Ethics and the Expert Witness

$109.99

Die Sektion des Gehirns und Rckenmarks und ihrer Hllen

$64.99

Clarice Bean Spells Trouble

$5.96

Biologie fr Ingenieure

$49.99

Ultrasonic Nondestructive Evaluation Systems

$109.00

Logic, Language, Information, and Computation

$44.99

Global Governance of Intellectual Property in the 21st Century

$129.99

The Philosophy of Kenelm Digby (16031665)

$109.00

Entwicklung auf dem Gebiet der Chemiefaser-Herstellung

$59.99

Identitt

$89.99

Economic Development Through Regional Trade

$109.99

Residue Reviews

$84.99

Erarbeitung von Materialkennwerten fr die Dauerstandfestigkeit zementgebundener Systeme

$59.99

The Self, Relational Sociology, and Morality in Practice

$99.99

The Financial Landscape of Emerging Economies

$139.99

New Insights From Recent Studies in Historical Astronomy: Following in the Footsteps of F. Richard

$169.99

Handbuch des internationalen Bankgeschfts

$69.99

The Truth of Imagination

$34.99

Rethinking Food Systems

$109.99

The Catalytic Chemistry of Nitrogen Oxides

$39.99

Forest Analytics with R

$84.99

Gleichgewichtsgase der Verbrennung und Vergasung

$34.99

Air and Noise Pollution Control

$129.00

Interpretations of Luxury

$169.99