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Integral and Discrete Inequalities and Their Applications
This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 of the author’s two-volume work on inequalities. Integr…
- Edition
- -
- ISBN/ISSN
- 978-3-319-33303-8
- Collation
- XVI, 1072
- Series Title
- -
- Call Number
- 515.43 QIN i
Real Analysis via Sequences and Series
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering …
- Edition
- -
- ISBN/ISSN
- 978-1-4939-2651-0
- Collation
- -
- Series Title
- -
- Call Number
- 001.4
Real Analysis
This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. T…
- Edition
- -
- ISBN/ISSN
- 978-3-319-30744-2
- Collation
- -
- Series Title
- -
- Call Number
- 001.4
A Concise Introduction to Analysis
This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-24469-3
- Collation
- -
- Series Title
- -
- Call Number
- 515.9 STR c
Entire Slice Regular Functions
This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zero…
- Edition
- -
- ISBN/ISSN
- 978-3-319-49265-0
- Collation
- V, 118
- Series Title
- -
- Call Number
- -
A Complex Analysis Problem Book
This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and …
- Edition
- Ed. 2
- ISBN/ISSN
- 78-3-319-42181-0
- Collation
- -
- Series Title
- -
- Call Number
- 515.9 ALP c
Theory of Reproducing Kernels and Applications
This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications. In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations amo…
- Edition
- -
- ISBN/ISSN
- 978-981-10-0530-5
- Collation
- 1 b/w illustrations
- Series Title
- -
- Call Number
- -
Modern Trends in Hypercomplex Analysis
This book contains a selection of papers presented at the session "Quaternionic and Clifford Analysis" at the 10th ISAAC Congress held in Macau in August 2015. The covered topics represent the state-of-the-art as well as new trends in hypercomplex analysis and its applications.
- Edition
- 1
- ISBN/ISSN
- 978-3-319-82602-8
- Collation
- VII, 310
- Series Title
- Trends in Mathematics
- Call Number
- -
Elliptic and Parabolic Equations Hannover, September 2013
The international workshop on which this proceedings volume is based on brought together leading researchers in the field of elliptic and parabolic equations. Particular emphasis was put on the interaction between well-established scientists and emerging young mathematicians, as well as on exploring new connections between pure and applied mathematics. The volume contains material derived after…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-12547-3
- Collation
- 10 b/w illustrations, 3 illustrations in colour
- Series Title
- -
- Call Number
- -
Metric Modular Spaces
Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the m…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-25281-0
- Collation
- XIII, 137
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- -
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