The St. Petersburg School of Number Theory

The St. Petersburg School of Number Theory PDF Author: Boris Nikolaevich Delone
Publisher: American Mathematical Soc.
ISBN: 0821834576
Category : Education
Languages : en
Pages : 297

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Book Description
"The book acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution is presented as a summary of the author's original work and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly." "With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians and mathematicians working in number theory."--Jacket.

The St. Petersburg School of Number Theory

The St. Petersburg School of Number Theory PDF Author: Boris Nikolaevich Delone
Publisher: American Mathematical Soc.
ISBN: 0821834576
Category : Education
Languages : en
Pages : 297

Get Book Here

Book Description
"The book acquaints the reader with the most important works of these six eminent members of the St. Petersburg school. A short biography is given for each of them, followed by an exposition of some of his most significant contributions. Each contribution is presented as a summary of the author's original work and is followed by commentary. Certain works receive relatively complete expositions, while others are dealt with more briefly." "With a Foreword written for the English edition, this volume will appeal to a broad mathematical audience, including mathematical historians and mathematicians working in number theory."--Jacket.

Lectures on Quantum Mechanics for Mathematics Students

Lectures on Quantum Mechanics for Mathematics Students PDF Author: L. D. Faddeev
Publisher: American Mathematical Soc.
ISBN: 082184699X
Category : Science
Languages : en
Pages : 250

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Book Description
Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

61th International Mathematical Olympiad

61th International Mathematical Olympiad PDF Author: Michael C. G.
Publisher: Independently Published
ISBN:
Category :
Languages : en
Pages : 114

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Book Description
The International Mathematical Olympiad (IMO) is the World Math Competition for high school students and is held annually in a different country, establishing itself as the most prestigious Math competition that a high school student can aspire to take part. The first IMO was held in 1959 in Romania, with 7 participating countries. Since then, it has gradually expanded to more than 100 countries on 5 continents. Likewise, the IMO is a great opportunity for students to face original, challenging and interesting math problems; which can be used to measure their level of knowledge before other students from the rest of the world. Among the topics covered by the problems we have: Algebra, Combinatorics, Geometry and Number Theory. In this occasion we make available to the student, a bilingual edition (English-Spanish) of the exam with detailed solutions of the 61th International Mathematical Olympiad held virtually from Saint Petersburg - Russia in September 2020. Additionally, an appendix with problem statements from IMO exams between 2010 and 2019 is included at the end of each section of the book.

Lebesgue and Sobolev Spaces with Variable Exponents

Lebesgue and Sobolev Spaces with Variable Exponents PDF Author: Lars Diening
Publisher: Springer
ISBN: 3642183638
Category : Mathematics
Languages : en
Pages : 516

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Book Description
The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.

The Math Book

The Math Book PDF Author: Clifford A. Pickover
Publisher: Sterling Publishing Company, Inc.
ISBN: 9781402757969
Category : Mathematics
Languages : en
Pages : 532

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Book Description
This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.

Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses

Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses PDF Author: Martina Becvarova
Publisher: World Scientific
ISBN: 1786349329
Category : Mathematics
Languages : en
Pages : 623

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Book Description
The Development of Mathematics Between the World Wars traces the transformation of scientific life within mathematical communities during the interwar period in Central and Eastern Europe, specifically in Germany, Russia, Poland, Hungary, and Czechoslovakia. Throughout the book, in-depth mathematical analyses and examples are included for the benefit of the reader.World War I heavily affected academic life. In European countries, many talented researchers and students were killed in action and scientific activities were halted to resume only in the postwar years. However, this inhibition turned out to be a catalyst for the birth of a new generation of mathematicians, for the emergence of new ideas and theories and for the surprising creation of new and outstanding scientific schools.The final four chapters are not restricted to Central and Eastern Europe and deal with the development of mathematics between World War I and World War II. After describing the general state of mathematics at the end of the 19th century and the first third of the 20th century, three case studies dealing with selected mathematical disciplines are presented (set theory, potential theory, combinatorics), in a way accessible to a broad audience of mathematicians as well as historians of mathematics.

Elementary Topology

Elementary Topology PDF Author: O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher: American Mathematical Soc.
ISBN: 9780821886250
Category : Mathematics
Languages : en
Pages : 432

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Book Description
This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.

Transformation Groups for Beginners

Transformation Groups for Beginners PDF Author: Sergeĭ Vasilʹevich Duzhin
Publisher: American Mathematical Soc.
ISBN: 0821836439
Category : Mathematics
Languages : en
Pages : 258

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Book Description
Presents a discussion of algebraic operations on the points in the plane and rigid motions in the Euclidean plane. This work introduces the notions of a transformation group and of an abstract group. It gives an elementary exposition of the basic ideas of Sophus Lie about symmetries of differential equations.

Ramanujan's Place in the World of Mathematics

Ramanujan's Place in the World of Mathematics PDF Author: Krishnaswami Alladi
Publisher: Springer Nature
ISBN: 9811562415
Category : Mathematics
Languages : en
Pages : 265

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Book Description
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.

Asymptotic Combinatorics with Application to Mathematical Physics

Asymptotic Combinatorics with Application to Mathematical Physics PDF Author: V.A. Malyshev
Publisher: Springer Science & Business Media
ISBN: 9401005753
Category : Science
Languages : en
Pages : 335

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Book Description
New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory.