Bringing The Prophets To Life
Bringing The Prophets To Life

Author: Neil Winkler

Publisher: Independently Published

Published: 2019-04-15

Total Pages: 223

ISBN-13: 9781093925104

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In Bringing the Prophets to Life, Rabbi Neil Winkler offers us a masterful source of inspiration and insight into the early prophets. He shows us that in order to understand the vital messages of the stories, we must go beyond a simple translation of the text and identify the themes of the stories, as well as the struggles and challenges that faced the outstanding personalities of each era: the warriors and the women, the prophets and the kings.

The Bieberbach Conjecture
The Bieberbach Conjecture

Author: Sheng Gong

Publisher: American Mathematical Soc.

Published: 1999-07-12

Total Pages: 218

ISBN-13: 0821827421

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In 1919, Bieberbach posed a seemingly simple conjecture. That ``simple'' conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level.

Concise Calculus
Concise Calculus

Author: Sheng Gong

Publisher: World Scientific Publishing Company

Published: 2017-02-03

Total Pages: 691

ISBN-13: 9813222638

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Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even further. Besides imparting knowledge to students from the Department of Mathematics, he has created and developed his method of teaching Calculus to help students from physics, engineering and other sciences disciplines understand Calculus faster and deeper in order to meet the needs of applications in their own fields.This book is based on Professor Sheng Gong's 42 years of teaching experience along with a touch of applications of Calculus in other fields such as computer science, engineering. Science students will benefit from the unique way of illustrating theorems in Calculus and also perceive Calculus as a whole instead of a combination of separate topics. The practical examples provided in the book bring motivation to students to learn Calculus.

Random Matrices, Frobenius Eigenvalues, and Monodromy
Random Matrices, Frobenius Eigenvalues, and Monodromy

Author: Nicholas M. Katz

Publisher: American Mathematical Society

Published: 2023-11-13

Total Pages: 441

ISBN-13: 1470475073

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The main topic of this book is the deep relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups. This relation, the Montgomery-Odlyzko law, is shown to hold for wide classes of zeta and $L$-functions over finite fields. The book draws on and gives accessible accounts of many disparate areas of mathematics, from algebraic geometry, moduli spaces, monodromy, equidistribution, and the Weil conjectures, to probability theory on the compact classical groups in the limit as their dimension goes to infinity and related techniques from orthogonal polynomials and Fredholm determinants.

Linear Algebraic Groups
Linear Algebraic Groups

Author: T.A. Springer

Publisher: Springer Science & Business Media

Published: 2010-10-12

Total Pages: 347

ISBN-13: 0817648402

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The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically closed. It thus represents a higher aim. As in the first edition, the book includes a self-contained treatment of the prerequisites from algebraic geometry and commutative algebra, as well as basic results on reductive groups. As a result, the first part of the book can well serve as a text for an introductory graduate course on linear algebraic groups.

Twenty Five Years of Constructive Type Theory
Twenty Five Years of Constructive Type Theory

Author: Giovanni Sambin

Publisher: Clarendon Press

Published: 1998-10-15

Total Pages: 292

ISBN-13: 0191606936

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Per Martin-Löf's work on the development of constructive type theory has been of huge significance in the fields of logic and the foundations of mathematics. It is also of broader philosophical significance, and has important applications in areas such as computing science and linguistics. This volume draws together contributions from researchers whose work builds on the theory developed by Martin-Löf over the last twenty-five years. As well as celebrating the anniversary of the birth of the subject it covers many of the diverse fields which are now influenced by type theory. It is an invaluable record of areas of current activity, but also contains contributions from N. G. de Bruijn and William Tait, both important figures in the early development of the subject. Also published for the first time is one of Per Martin-Löf's earliest papers.

Metric Number Theory
Metric Number Theory

Author: Glyn Harman

Publisher: Oxford University Press on Demand

Published: 1998

Total Pages: 297

ISBN-13: 9780198500834

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This book deals with the number-theoretic properties of almost all real numbers. It brings together many different types of result never covered within the same volume before, thus showing interactions and common ideas between different branches of the subject. It provides an indispensablecompendium of basic results, important theorems and open problems. Starting from the classical results of Borel, Khintchine and Weyl, normal numbers, Diophantine approximation and uniform distribution are all discussed. Questions are generalized to higher dimensions and various non-periodic problemsare also considered (for example restricting approximation to fractions with prime numerator and denominator). Finally, the dimensions of some of the exceptional sets of measure zero are considered.