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Methods of Solving Number Theory Problems - 9783319909141
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Item specifics
- Condition
- Book Title
- Methods of Solving Number Theory Problems
- ISBN
- 9783319909141
- Publication Year
- 2018
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Methods of Solving Number Theory Problems
- Item Height
- 235 mm
- Publisher
- Birkhauser Verlag A&G
- Subject
- Mathematics, Teaching
- Item Weight
- 787 g
- Item Width
- 155 mm
- Number of Pages
- 391 Pages
About this product
Product Information
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.
Product Identifiers
Publisher
Birkhauser Verlag A&G
ISBN-13
9783319909141
eBay Product ID (ePID)
28046622859
Product Key Features
Number of Pages
391 Pages
Publication Name
Methods of Solving Number Theory Problems
Language
English
Subject
Mathematics, Teaching
Publication Year
2018
Type
Textbook
Format
Hardcover
Dimensions
Item Height
235 mm
Item Weight
787 g
Item Width
155 mm
Additional Product Features
Country/Region of Manufacture
Switzerland
Item description from the seller
Seller business information
VAT number: GB 976952259
I provide invoices with VAT separately displayed.
CRN: 06687355
Seller Feedback (588,445)
- u***t (2242)- Feedback left by buyer.Past 6 monthsVerified purchaseA smooth and professional transaction throughout. The item was exactly as described, clearly listed, and fairly priced. Communication from the seller was prompt, polite, and helpful, with dispatch confirmed quickly. The parcel was securely packaged and arrived in excellent condition, ahead of the expected delivery date. Care was taken at every stage of the process. I would be happy to buy from this seller again—many thanks for a reliable and well-handled sale.
- w***r (65)- Feedback left by buyer.Past 6 monthsVerified purchaseItem as described and despatched in quick time. Item arrived within 3 days and was well packaged. Item was much cheaper than I found elsewhere online. I had a query about my order and the seller responded on the same day and sorted everything out. Would happily buy from seller againAbsolute Swamp Thing by Alan Moore Vol. 3 - 9781779512192 (#314607417279)
- a***l (61)- Feedback left by buyer.Past 6 monthsVerified purchaseFantastic experience with this seller. I had an issue with the clay in my kit being dried out, which is something they couldn't have known about before me opening the box. I sent them a message and they replied quickly and kindly with a resolution, replacing my kit for me. Overall the kit was fantastic value and arrived brand new, in perfect condition bar the clay. Very trustworthy and helpful.Tiny Ceramics Studio - 9781338745245 (#314126095615)
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Seller Feedback (588,445)
- u***t (2242)- Feedback left by buyer.Past 6 monthsVerified purchaseA smooth and professional transaction throughout. The item was exactly as described, clearly listed, and fairly priced. Communication from the seller was prompt, polite, and helpful, with dispatch confirmed quickly. The parcel was securely packaged and arrived in excellent condition, ahead of the expected delivery date. Care was taken at every stage of the process. I would be happy to buy from this seller again—many thanks for a reliable and well-handled sale.
- w***r (65)- Feedback left by buyer.Past 6 monthsVerified purchaseItem as described and despatched in quick time. Item arrived within 3 days and was well packaged. Item was much cheaper than I found elsewhere online. I had a query about my order and the seller responded on the same day and sorted everything out. Would happily buy from seller againAbsolute Swamp Thing by Alan Moore Vol. 3 - 9781779512192 (#314607417279)
- a***l (61)- Feedback left by buyer.Past 6 monthsVerified purchaseFantastic experience with this seller. I had an issue with the clay in my kit being dried out, which is something they couldn't have known about before me opening the box. I sent them a message and they replied quickly and kindly with a resolution, replacing my kit for me. Overall the kit was fantastic value and arrived brand new, in perfect condition bar the clay. Very trustworthy and helpful.Tiny Ceramics Studio - 9781338745245 (#314126095615)