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Number Theory
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Irregularities of Partitions
The problem of uniform distribution of sequences initiated by Hardy, Little wood and Weyl in the 1910's has now become an important part of number theory. This is also true, in relation to combinatorics, of what is called Ramsey theory, a theory of about the same age going back to Schur. Both concern the distribution of sequences of elements in certain collection of subsets. But it was not known until quite recently that the two are closely interweaving bear ing fruits for both. At the same time other fields of mathematics, such as ergodic theory, geometry, information theory, algorithm theory etc. have also joined in. (See the survey articles: V. T. S6s: Irregularities of partitions, Lec tu...
Ramsey Theory
This book explores the theory’s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike.
Ramanujan's Place in the World of Mathematics
The First Edition of the book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians in history whose life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan’s spectacular discoveries and remarkable life with the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. Also, among the articles are reviews of three important books on Ramanujan’s mathematics and life. In addition, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, h...
Graphs and Questionnaires
Graphs and Questionnaires
Budapest Scientific
This guidebook introduces the reader to the visible memorabilia of science and scientists in Budapest - statues, busts, plaques, buildings, and other artefacts. According to the Hungarian-American Nobel laureate Albert Szent-Gyorgyi, this metropolis at the crossroads of Europe has a special atmosphere of respect for science. It has been the venue of numerous scientific achievements and the cradle, literally, of many individuals who in Hungary, and even more beyond its borders, became world-renowned contributors to science and culture. Six of the eight chapters of the book cover the Hungarian Nobel laureates, the Hungarian Academy of Sciences, the university, the medical school, agricultural ...
Reading, Writing, and Rhythm: Engaging Content-Area Literacy Strategies
Rhythm, rhyme, and rap are powerful hooks that spark students' interests and engage them in learning. This innovative resource provides effective strategies for incorporating rhyme and rhythm-based activities and lessons into Language Arts, Social Studies, Science, and Math instruction. Through the use of music, singing, student- and teacher-created raps, Reader's Theater, Freeze Frames, and historical songs, students will develop their literacy skills, master content-specific knowledge, and be more likely to retain information while meeting standards goals.
Real Analysis
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.
Sets, Graphs and Numbers
To celebrate the sixtieth birthdays of Vera T. Sos and Andras Hajnal, the Janos Bolyai Mathematical Society organized a conference and this book. It reflects the broad interests and far-reaching impact of the work of these two mathematicians. The central topic is combinatorics, but papers cover set theory and number theory as well. In order to guarantee the highest possible scientific standard, the following experts were invited to organise sessions: B. Bollobas (extremal graph theory), R.L. Graham (Ramsey theory), E. Milner (set theory), H. Niederreiter (number theory), A. Schrijver (combinatorial optimization), J. Spencer (probabilistic methods in combinatorics) and E. Szemeredi (theory of computing).
