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The Quadratic Reciprocity Law
This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of…
- Edition
- -
- ISBN/ISSN
- 978-3-319-16283-6
- Collation
- XIV, 172
- Series Title
- -
- Call Number
- -
The Higgs Boson Discovery at the Large Hadron Collider
This book provides a comprehensive overview of the field of Higgs boson physics. It offers the first in-depth review of the complete results in connection with the discovery of the Higgs boson at CERN’s Large Hadron Collider and based on the full dataset for the years 2011 to 2012. The fundamental concepts and principles of Higgs physics are introduced and the important searches prior to the …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-18512-5
- Collation
- IX, 187, 7 b/w illustrations, 44 illustrations in colour
- Series Title
- Springer Tracts in Modern Physics Springer Tracts in Modern Physics
- Call Number
- -
The Harary Index of a Graph
This is the first book to focus on the topological index, the Harary index, of a graph, including its mathematical properties, chemical applications and some related and attractive open problems. This book is dedicated to Professor Frank Harary (1921—2005), the grandmaster of graph theory and its applications. It has be written by experts in the field of graph theory and its applications. For…
- Edition
- 1
- ISBN/ISSN
- 978-3-662-45843-3
- Collation
- XV, 74, 35 b/w illustrations
- Series Title
- SpringerBriefs in Applied Sciences and Technology
- Call Number
- -
Anomaly Detection in Random Heterogeneous Media: Feynman-Kac Formulae, Stocha…
This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic, stationary and ergodic conductivity random field whose realizations are rapidly oscillating. For this purpose, he derives Feynman-Kac formulae to rig…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-658-10993-6
- Collation
- XIV, 150
- Series Title
- -
- Call Number
- 519.2 SIM a
Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday
This volume contains a collection of research and survey papers written by some of the most eminent mathematicians in the international community and is dedicated to Helmut Maier, whose own research has been groundbreaking and deeply influential to the field. Specific emphasis is given to topics regarding exponential and trigonometric sums and their behavior in short intervals, anatomy of inte…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-22240-0
- Collation
- VIII, 379
- Series Title
- -
- Call Number
- 519.4 ANA a
Analytic Curve Frequency-Sweeping Stability Tests for Systems with Commensura…
In this brief the authors establish a new frequency-sweeping framework to solve the complete stability problem for time-delay systems with commensurate delays. The text describes an analytic curve perspective which allows a deeper understanding of spectral properties focusing on the asymptotic behavior of the characteristic roots located on the imaginary axis as well as on properties invariant …
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-15717-7
- Collation
- XVIII, 130
- Series Title
- SpringerBriefs in Electrical and Computer Engineering
- Call Number
- 003.5 GUA a
Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays
This brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorporates nonlinearities and time-delayed feedback. An introductory chapter provides some insights into molecular biology and GRNs. The mathematical tools necessary for studying the GRN model are then reviewed, in particular Hill functions and Schwarzian derivatives. One chapter is devoted to the ana…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-15606-4
- Collation
- XIII, 94
- Series Title
- SpringerBriefs in Electrical and Computer Engineering
- Call Number
- 629.892 AHS a
Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued funct…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-48520-1
- Collation
- XVII, 614
- Series Title
- Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
- Call Number
- 519.2 ANA a
Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems
This book develops a set of reference methods capable of modeling uncertainties existing in membership functions, and analyzing and synthesizing the interval type-2 fuzzy systems with desired performances. It also provides numerous simulation results for various examples, which fill certain gaps in this area of research and may serve as benchmark solutions for the readers. Interval type-2 T-S…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-981-10-0593-0
- Collation
- XIX, 257
- Series Title
- -
- Call Number
- 006.3 ANA a
Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, …
This book introduces a new set of orthogonal hybrid functions (HF) which approximates time functions in a piecewise linear manner which is very suitable for practical applications. The book presents an analysis of different systems namely, time-invariant system, time-varying system, multi-delay systems---both homogeneous and non-homogeneous type- and the solutions are obtained in the form of…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-26684-8
- Collation
- XXI, 426
- Series Title
- Studies in Systems, Decision and Control
- Call Number
- 006.3 DEB a
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