Inequalities A Mathematical Olympiad Approach

Book title: Inequalities – A Mathematical Olympiad Approach.

Author: Radmila Bulajich Manfrino – José Antonio Gómez Ortega – Rogelio Valdez Delgado.

Publisher: Birkhäuser.

ISBN: 978-3-0346-0049-1.

Preface

This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad.

104 Number Theory Problems - Titu Andreescu

Mathematical Olympiad in China Problems and Solutions

Mathematics and Youth Magazine, Problem in 412 Issue

Problem in this Issue (Vol 412/10/2011)

FOR LOWER SECONDARY SCHOOLS

T1/412 (For 6 grade). Pick numbers from th first hundred natural numbers (from 1 to 100) so that the sum of any two distinct numbers is a multiple of 6. What is the largest possible number so that this can be done?

T2/411 (For 7 grade). Given

and

where are the side lengths of a traingle. Compare ang .

ISOMETRIES ON BANACH SPACES VECTOR-VALUED FUNCTION SPACES by Richard J. Fleming James E. Jamison

The completion of this volume ends a project which has been on our minds for over 20 years. We began the writing of what became the first volume [137] in the fall of 1995. It has been a labor of love and we hope it will prove to be a useful addition to the literature. The original idea was to provide a full survey of the work done in characterizing the form of isometries on various Banach spaces. That turned out to be a task too vast in its extent to be done very successfully, but we have tried to touch on as many of its aspects as possible and to include a large number of references. Isometries are of fundamental importance and interest, and results about them pop up in all kinds of places.

Additive combinatorics by Terence Tao, Van H. Vu

Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate level text will allow students and researchers easy entry into this fascinating field.

Set-Valued Analysis (Modern Birkhäuser Classics) by Jean-pierre Aubin, Hélène Frankowska

Publisher Comments:

“An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible–it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student.” –The Journal of the Indian Institute of Science “The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes…results with many historical comments giving the reader a sound perspective to look at the subject…The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis.” –Mathematical Reviews “I recommend this book as one to dig into with considerable pleasure when one already knows the subject…’Set-Valued Analysis’ goes a long way toward providing a much needed basic resource on the subject.” –Bulletin of the American Mathematical Society “This book provides a thorough introduction to multivalued or set-valued analysis…Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued maps…The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work…Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis.” –Zentralblatt Math