Lure of the Integers PDF Download

Author: Joe Roberts
Publisher: American Mathematical Soc.
ISBN: 1470457296
Category : Mathematics
Languages : en
Pages : 310

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Author: Ronald S. Irving
Publisher: Springer Science & Business Media
ISBN: 0387403973
Category : Mathematics
Languages : en
Pages : 283

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Book Description
This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduatecourseinabstractalgebraoracoursedesignedasanintroduction to higher mathematics. This book di?ers from many undergraduate algebra texts in fundamental ways; the reasons lie in the book’s origin and the goals I set for the course. The course is a two-quarter sequence required of students intending to f- ?ll the requirements of the teacher preparation option for our B.A. degree in mathematics, or of the teacher preparation minor. It is required as well of those intending to matriculate in our university’s Master’s in Teaching p- gram for secondary mathematics teachers. This is the principal course they take involving abstraction and proof, and they come to it with perhaps as little background as a year of calculus and a quarter of linear algebra. The mathematical ability of the students varies widely, as does their level of ma- ematical interest.

Author: Richard Dedekind
Publisher: Cambridge University Press
ISBN: 0521565189
Category : Mathematics
Languages : en
Pages : 170

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Book Description
A translation of a classic work by one of the truly great figures of mathematics.

Author: A. O. Gelfond
Publisher: Courier Dover Publications
ISBN: 048682988X
Category : Mathematics
Languages : en
Pages : 81

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Book Description
Covering applications to physics and engineering as well, this relatively elementary discussion of algebraic equations with integral coefficients and with more than one unknown will appeal to students and mathematicians from high school level onward. 1961 edition.

Author: Serge Lang
Publisher:
ISBN: 9783540967873
Category : Mathematics
Languages : en
Pages : 475

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Author: Bruce M. Landman
Publisher: American Mathematical Soc.
ISBN: 0821898671
Category : Mathematics
Languages : en
Pages : 409

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Book Description
Ramsey theory is the study of the structure of mathematical objects that is preserved under partitions. In its full generality, Ramsey theory is quite powerful, but can quickly become complicated. By limiting the focus of this book to Ramsey theory applied to the set of integers, the authors have produced a gentle, but meaningful, introduction to an important and enticing branch of modern mathematics. Ramsey Theory on the Integers offers students a glimpse into the world of mathematical research and the opportunity for them to begin pondering unsolved problems. For this new edition, several sections have been added and others have been significantly updated. Among the newly introduced topics are: rainbow Ramsey theory, an "inequality" version of Schur's theorem, monochromatic solutions of recurrence relations, Ramsey results involving both sums and products, monochromatic sets avoiding certain differences, Ramsey properties for polynomial progressions, generalizations of the Erdős-Ginzberg-Ziv theorem, and the number of arithmetic progressions under arbitrary colorings. Many new results and proofs have been added, most of which were not known when the first edition was published. Furthermore, the book's tables, exercises, lists of open research problems, and bibliography have all been significantly updated. This innovative book also provides the first cohesive study of Ramsey theory on the integers. It contains perhaps the most substantial account of solved and unsolved problems in this blossoming subject. This breakthrough book will engage students, teachers, and researchers alike.

Author: Alexander Schrijver
Publisher: John Wiley & Sons
ISBN: 9780471982326
Category : Mathematics
Languages : en
Pages : 488

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Book Description
Als Ergänzung zu den mehr praxisorientierten Büchern, die auf dem Gebiet der linearen und Integerprogrammierung bereits erschienen sind, beschreibt dieses Werk die zugrunde liegende Theorie und gibt einen Überblick über wichtige Algorithmen. Der Autor diskutiert auch Anwendungen auf die kombinatorische Optimierung; neben einer ausführlichen Bibliographie finden sich umfangreiche historische Anmerkungen.

Author: Hiroshi Yuki
Publisher:
ISBN: 9781939326249
Category : Juvenile Nonfiction
Languages : en
Pages : 236

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Book Description
Math Girls Talk About Integers introduces students to a variety of fun and informative topics in discrete math, including curious features of the prime numbers, tricks for checking for multiples of 3 and 9 (and why those tricks work!), using division remainders to solve some unusual problems, and an in-depth look at proof by mathematical induction. These topics are introduced through conversations between the characters from Math Girls, offering a fun way to learn this serious content. Each chapter comes with review problems and answers, and an appendix gives more challenging, open-ended problems for readers wanting to push the limits of their understanding.

Author: Dimitris Bertsimas
Publisher:
ISBN: 9780975914625
Category : Algorithms
Languages : en
Pages : 602

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Author: Timothy Rasinski
Publisher: Teacher Created Materials
ISBN: 1480774669
Category :
Languages : en
Pages : 13

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Book Description
Make learning mathematics vocabulary fun with a roots approach! This lesson, geared towards secondary students, focuses on root words for mathematics and includes teaching tips and strategies, standards-based lessons, and student activity pages.