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Mod-ϕ Convergence: Normality Zones and Precise Deviations
The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been pub…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-46821-1
- Collation
- XII, 152; 8 b/w illustrations, 9 illustrations in colour
- Series Title
- SpringerBriefs in Probability and Mathematical Statistics
- Call Number
- -
Logic, Mathematics, and Computer Science: Modern Foundations with Practical A…
This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edit…
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- -
- ISBN/ISSN
- 978-1-4939-3223-8
- Collation
- -
- Series Title
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The Congruences of a Finite Lattice
"There exist a lot of interesting results in this area of lattice theory, and some of them are presented in this book. [This] monograph…is an exceptional work in lattice theory, like all the contributions by this author. … The way this book is written makes it extremely interesting for the specialists in the field but also for the students in lattice theory. Moreover, the author provides a …
- Edition
- -
- ISBN/ISSN
- 978-3-319-38798-7
- Collation
- XXXIV, 346
- Series Title
- 978-3-319-38798-7
- Call Number
- -
Lie Theory and Its Applications in Physics: Varna, Bulgaria, June 2015
This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend has been towards geometrization of the mathematical description of physical s…
- Edition
- -
- ISBN/ISSN
- 978-981-10-2636-2
- Collation
- -
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Modern Mathematical Methods and High Performance Computing in Science and Tec…
The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems. Furthermore, it is valuable as a ref…
- Edition
- 1
- ISBN/ISSN
- 978-981-10-9358-6
- Collation
- XXI
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- -
Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number F…
The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory of Jacobi forms over the rational numbers, which is an indispensable tool in the arithmetic theory of elliptic …
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- -
- ISBN/ISSN
- 978-3-319-12916-7
- Collation
- -
- Series Title
- -
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Eulerian Numbers
This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytopes, and simplicial complexes. Some topics include a thorough discussion of gamma-nonnegativity and…
- Edition
- -
- ISBN/ISSN
- 978-1-4939-3091-3
- Collation
- 74 b/w illustrations, 4 illustrations in colour
- Series Title
- -
- Call Number
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The Whole Truth About Whole Numbers An Elementary Introduction to Number Theory
The Whole Truth About Whole Numbers is an introduction to the field of Number Theory for students in non-math and non-science majors who have studied at least two years of high school algebra. Rather than giving brief introductions to a wide variety of topics, this book provides an in-depth introduction to the field of Number Theory. The topics covered are many of those included in an introduct…
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- -
- ISBN/ISSN
- 978-3-319-11035-6
- Collation
- -
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- -
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My Search for Ramanujan:How I Learned to Count
The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Raman…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-25566-8
- Collation
- XVI, 238
- Series Title
- -
- Call Number
- -
Multiplicative Ideal Theory and Factorization Theory:Commutative and Non-comm…
This book consists of both expository and research articles solicited from speakers at the conference entitled "Arithmetic and Ideal Theory of Rings and Semigroups," held September 22–26, 2014 at the University of Graz, Graz, Austria. It reflects recent trends in multiplicative ideal theory and factorization theory, and brings together for the first time in one volume both commutative and non…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-38853-3
- Collation
- XIV, 407
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Call Number
- -
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