Putnam and Beyond 2017

Name: Putnam and Beyond
Author: Răzvan Gelca

Auteur: Răzvan Gelca

Taal: Engels

Afbeeldingen

Artikel vergelijken

Vergelijk met andere artikelen

Bekijk nu

Auteur: Răzvan Gelca Titu Andreescu

Co-auteur: Titu Andreescu

Engels
Paperback
9783319589862
03 oktober 2017
850 pagina's

Alle productspecificaties

Samenvatting

Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research.

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quadratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies.

Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and graduate students,

as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

Reviews of the first edition:

The reviewer recommends this book to all students curious about the force of mathematics, especially those who are bored at school and ready for a challenge. Teachers would find this book to be a welcome resource, as will contest organizers.

—Teodora-Liliana Radulescu, Zentralblatt MATH, Vol. 1122 (24), 2007

… This extraordinary book can be read for fun. However, it can also serve as a textbook for preparation for the Putnam … for an advanced problem-solving course, or even as an overview of undergraduate mathematics. … it could certainly serve as a great review for senior-level students.

— Donald L. Vestal, MathDL, December, 2007

Productspecificaties

Inhoud

Taal: en
Bindwijze: Paperback
Oorspronkelijke releasedatum: 03 oktober 2017
Aantal pagina's: 850
Illustraties: Met illustraties

Betrokkenen

Hoofdauteur: Răzvan Gelca
Tweede Auteur: Titu Andreescu
Co Auteur: Titu Andreescu
Hoofduitgeverij: Springer

Vertaling

Originele titel: Putnam and Beyond

Overige kenmerken

Editie: 2
Extra groot lettertype: Nee
Product breedte: 178 mm
Product lengte: 254 mm
Studieboek: Ja
Verpakking breedte: 183 mm
Verpakking hoogte: 254 mm
Verpakking lengte: 260 mm
Verpakkingsgewicht: 1628 g

EAN

EAN: 9783319589862

Je vindt dit artikel in

Categorieën: Wetenschap & Natuur

Wiskunde

Algebra

Calculus & Wiskundige analyse

Cijfertheorie

Combinatoriek

Meetkunde

Boeken
Taal: Engels
Beschikbaarheid: Leverbaar
Boek, ebook of luisterboek?: Boek
Studieboek of algemeen: Studieboeken

Reviews

Nog geen reviews

Hoe controleren en plaatsen wij reviews? Hoe controleren en plaatsen wij reviews?

Negatief, positief, neutraal: we zetten een review altijd online. We controleren wel eerst of ’ie voldoet aan onze reviewvoorwaarden en niet nep is. We controleren ook of ’ie is geschreven door iemand die het artikel heeft gekocht via bol.com en zetten dit er dan bij. De controles gebeuren automatisch, al kijken er soms mensen mee. Bol.com betaalt niet voor reviews. Als een reviewer door een andere partij is vergoed, staat dit in de review zelf.