Erdös Centennial

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Erdös Centennial

László Lovász,Imre Ruzsa,Vera T. Sós
Erd s Centennial Book PDF

Author : László Lovász,Imre Ruzsa,Vera T. Sós
Publisher : Springer Science & Business Media
Page : 714 pages
File Size : 52,5 Mb
Release : 2014-01-24
Category : Mathematics
ISBN : 9783642392863

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Erdös Centennial by László Lovász,Imre Ruzsa,Vera T. Sós Pdf

Paul Erdös was one of the most influential mathematicians of the twentieth century, whose work in number theory, combinatorics, set theory, analysis, and other branches of mathematics has determined the development of large areas of these fields. In 1999, a conference was organized to survey his work, his contributions to mathematics, and the far-reaching impact of his work on many branches of mathematics. On the 100th anniversary of his birth, this volume undertakes the almost impossible task to describe the ways in which problems raised by him and topics initiated by him (indeed, whole branches of mathematics) continue to flourish. Written by outstanding researchers in these areas, these papers include extensive surveys of classical results as well as of new developments.

Ramanujan's Place in the World of Mathematics

Krishnaswami Alladi
Ramanujan s Place in the World of Mathematics Book PDF

Author : Krishnaswami Alladi
Publisher : Springer Nature
Page : 265 pages
File Size : 44,5 Mb
Release : 2021-09-17
Category : Mathematics
ISBN : 9789811562419

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Ramanujan's Place in the World of Mathematics by Krishnaswami Alladi Pdf

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, his path-breaking work in the theory of partitions, and his fundamental observations on quadratic forms, are discussed. Finally, the book describes various current efforts to ensure that the legacy of Ramanujan will be preserved and continue to thrive in the future. This Second Edition is an expanded version of the first with six more articles by the author. Of note is the inclusion of a detailed review of the movie The Man Who Knew Infinity, a description of the fundamental work of the SASTRA Ramanujan Prize Winners, and an account of the Royal Society Conference to honour Ramanujan’s legacy on the centenary of his election as FRS.

Mathematical Constants II

Steven R. Finch
Mathematical Constants II Book PDF

Author : Steven R. Finch
Publisher : Cambridge University Press
Page : 783 pages
File Size : 53,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9781108470599

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Mathematical Constants II by Steven R. Finch Pdf

Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Mathematics Without Boundaries

Themistocles M. Rassias,Panos M. Pardalos
Mathematics Without Boundaries Book PDF

Author : Themistocles M. Rassias,Panos M. Pardalos
Publisher : Springer
Page : 783 pages
File Size : 48,5 Mb
Release : 2014-09-17
Category : Mathematics
ISBN : 9781493911066

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Mathematics Without Boundaries by Themistocles M. Rassias,Panos M. Pardalos Pdf

The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information.

The Julius Petersen Graph Theory Centennial

L.D. Andersen,J. Bang-Jensen,T.R. Jensen,L.K. Jørgensen,G. Sabidussi,C. Thomassen,B. Toft,P.D. Vestergaard
The Julius Petersen Graph Theory Centennial Book PDF

Author : L.D. Andersen,J. Bang-Jensen,T.R. Jensen,L.K. Jørgensen,G. Sabidussi,C. Thomassen,B. Toft,P.D. Vestergaard
Publisher : Elsevier
Page : 128 pages
File Size : 45,8 Mb
Release : 2016-06-06
Category : Mathematics
ISBN : 9781483296326

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The Julius Petersen Graph Theory Centennial by L.D. Andersen,J. Bang-Jensen,T.R. Jensen,L.K. Jørgensen,G. Sabidussi,C. Thomassen,B. Toft,P.D. Vestergaard Pdf

Julius Petersen's paper, Die Theorie der regulären graphs in Acta Mathematica, volume 15 (1891), stands at the beginning of graph theory as we know it today. The Danish group of graph theorists decided in 1985 to mark the 150th birthday of Petersen in 1989, as well as the centennial of his paper. It was felt that the occasion called for a presentation of Petersen's famous paper in its historical context and, in a wider sense, of Petersen's life and work as a whole. However, the readily available information about Julius Petersen amounted to very little (not even a full bibliography existed) and virtually nothing was known about the circumstances that led him to write his famous paper. The study of Petersen's life and work has resulted in several papers, in particular a biography, a bibliography, an annotated edition of the letters surrounding Petersen's paper of 1891, an analysis of Petersen's paper and an annotated edition of parts of Petersen's correspondence with Sylow on Galois theory. The first four of these papers, together with a survey of matching theory, form the first part of this book. In addition to these five special papers, there are papers submitted in the celebration of the Petersen centennial.

A Journey Through Discrete Mathematics

Martin Loebl,Jaroslav Nešetřil,Robin Thomas
A Journey Through Discrete Mathematics Book PDF

Author : Martin Loebl,Jaroslav Nešetřil,Robin Thomas
Publisher : Springer
Page : 810 pages
File Size : 43,5 Mb
Release : 2017-10-11
Category : Computers
ISBN : 9783319444796

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A Journey Through Discrete Mathematics by Martin Loebl,Jaroslav Nešetřil,Robin Thomas Pdf

This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.

2015 U.S. Higher Education Faculty Awards, Vol. 3

Faculty Awards
2015 U S Higher Education Faculty Awards Vol 3 Book PDF

Author : Faculty Awards
Publisher : CRC Press
Page : 859 pages
File Size : 52,8 Mb
Release : 2022-09-01
Category : Education
ISBN : 9781000819441

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2015 U.S. Higher Education Faculty Awards, Vol. 3 by Faculty Awards Pdf

Created by professors for professors, the Faculty Awards compendium is the first and only university awards program in the United States based on faculty peer evaluations. The Faculty Awards series recognizes and rewards outstanding faculty members at colleges and universities across the United States. Voting was not open to students or the public at large.

Sampling in Combinatorial and Geometric Set Systems

Nabil H. Mustafa
Sampling in Combinatorial and Geometric Set Systems Book PDF

Author : Nabil H. Mustafa
Publisher : American Mathematical Society
Page : 251 pages
File Size : 49,6 Mb
Release : 2022-01-14
Category : Mathematics
ISBN : 9781470461560

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Sampling in Combinatorial and Geometric Set Systems by Nabil H. Mustafa Pdf

Understanding the behavior of basic sampling techniques and intrinsic geometric attributes of data is an invaluable skill that is in high demand for both graduate students and researchers in mathematics, machine learning, and theoretical computer science. The last ten years have seen significant progress in this area, with many open problems having been resolved during this time. These include optimal lower bounds for epsilon-nets for many geometric set systems, the use of shallow-cell complexity to unify proofs, simpler and more efficient algorithms, and the use of epsilon-approximations for construction of coresets, to name a few. This book presents a thorough treatment of these probabilistic, combinatorial, and geometric methods, as well as their combinatorial and algorithmic applications. It also revisits classical results, but with new and more elegant proofs. While mathematical maturity will certainly help in appreciating the ideas presented here, only a basic familiarity with discrete mathematics, probability, and combinatorics is required to understand the material.

Arithmetic and Geometry

Luis Dieulefait,Gerd Faltings,D. R. Heath-Brown
Arithmetic and Geometry Book PDF

Author : Luis Dieulefait,Gerd Faltings,D. R. Heath-Brown
Publisher : Cambridge University Press
Page : 539 pages
File Size : 46,9 Mb
Release : 2015-10-08
Category : Mathematics
ISBN : 9781107462540

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Arithmetic and Geometry by Luis Dieulefait,Gerd Faltings,D. R. Heath-Brown Pdf

The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.

Building Bridges II

Imre Bárány,Gyula O. H. Katona,Attila Sali
Building Bridges II Book PDF

Author : Imre Bárány,Gyula O. H. Katona,Attila Sali
Publisher : Springer Nature
Page : 616 pages
File Size : 43,6 Mb
Release : 2020-02-04
Category : Mathematics
ISBN : 9783662592045

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Building Bridges II by Imre Bárány,Gyula O. H. Katona,Attila Sali Pdf

This volume collects together research and survey papers written by invited speakers of the conference celebrating the 70th birthday of László Lovász. The topics covered include classical subjects such as extremal graph theory, coding theory, design theory, applications of linear algebra and combinatorial optimization, as well as recent trends such as extensions of graph limits, online or statistical versions of classical combinatorial problems, and new methods of derandomization. László Lovász is one of the pioneers in the interplay between discrete and continuous mathematics, and is a master at establishing unexpected connections, “building bridges” between seemingly distant fields. His invariably elegant and powerful ideas have produced new subfields in many areas, and his outstanding scientific work has defined and shaped many research directions in the last 50 years. The 14 contributions presented in this volume, all of which are connected to László Lovász's areas of research, offer an excellent overview of the state of the art of combinatorics and related topics and will be of interest to experienced specialists as well as young researchers.

Thin Groups and Superstrong Approximation

Emmanuel Breuillard,Hee Oh
Thin Groups and Superstrong Approximation Book PDF

Author : Emmanuel Breuillard,Hee Oh
Publisher : Cambridge University Press
Page : 375 pages
File Size : 42,7 Mb
Release : 2014-02-17
Category : Mathematics
ISBN : 9781107036857

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Thin Groups and Superstrong Approximation by Emmanuel Breuillard,Hee Oh Pdf

This collection of survey articles focuses on recent developments at the boundary between geometry, dynamical systems, number theory and combinatorics.

Games of No Chance 5

Urban Larsson
Games of No Chance 5 Book PDF

Author : Urban Larsson
Publisher : Cambridge University Press
Page : 499 pages
File Size : 50,6 Mb
Release : 2019-05-09
Category : Computers
ISBN : 9781108485807

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Games of No Chance 5 by Urban Larsson Pdf

Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.

High Dimensional Probability IX

Radosław Adamczak,Nathael Gozlan,Karim Lounici,Mokshay Madiman
High Dimensional Probability IX Book PDF

Author : Radosław Adamczak,Nathael Gozlan,Karim Lounici,Mokshay Madiman
Publisher : Springer Nature
Page : 445 pages
File Size : 51,6 Mb
Release : 2023-06-05
Category : Mathematics
ISBN : 9783031269790

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High Dimensional Probability IX by Radosław Adamczak,Nathael Gozlan,Karim Lounici,Mokshay Madiman Pdf

This volume collects selected papers from the Ninth High Dimensional Probability Conference, held virtually from June 15-19, 2020. These papers cover a wide range of topics and demonstrate how high-dimensional probability remains an active area of research with applications across many mathematical disciplines. Chapters are organized around four general topics: inequalities and convexity; limit theorems; stochastic processes; and high-dimensional statistics. High Dimensional Probability IX will be a valuable resource for researchers in this area.

Harmonic Analysis and Convexity

Alexander Koldobsky,Alexander Volberg
Harmonic Analysis and Convexity Book PDF

Author : Alexander Koldobsky,Alexander Volberg
Publisher : Walter de Gruyter GmbH & Co KG
Page : 480 pages
File Size : 50,7 Mb
Release : 2023-07-24
Category : Mathematics
ISBN : 9783110775389

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Harmonic Analysis and Convexity by Alexander Koldobsky,Alexander Volberg Pdf

In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.

The Mathematics of Paul Erdös II

Ronald L. Graham,Jaroslav Nesetril
The Mathematics of Paul Erd s II Book PDF

Author : Ronald L. Graham,Jaroslav Nesetril
Publisher : Springer Science & Business Media
Page : 591 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642604065

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The Mathematics of Paul Erdös II by Ronald L. Graham,Jaroslav Nesetril Pdf

In 1992, when Paul Erdos was awarded a Doctor Honoris Causa by Charles University in Prague, a small conference was held, bringing together a distin guished group of researchers with interests spanning a variety of fields related to Erdos' own work. At that gathering, the idea occurred to several of us that it might be quite appropriate at this point in Erdos' career to solicit a col lection of articles illustrating various aspects of Erdos' mathematical life and work. The response to our solicitation was immediate and overwhelming, and these volumes are the result. Regarding the organization, we found it convenient to arrange the papers into six chapters, each mirroring Erdos' holistic approach to mathematics. Our goal was not merely a (random) collection of papers but rather a thor oughly edited volume composed in large part by articles explicitly solicited to illustrate interesting aspects of Erdos and his life and work. Each chap ter includes an introduction which often presents a sample of related Erdos' problems "in his own words". All these (sometimes lengthy) introductions were written jointly by editors. We wish to thank the nearly 70 contributors for their outstanding efforts (and their patience). In particular, we are grateful to Bela Bollobas for his extensive documentation of Paul Erdos' early years and mathematical high points (in the first part of this volume); our other authors are acknowledged in their respective chapters. We also want to thank A. Bondy, G. Hahn, I.