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The Real and the Complex: A History of Analysis in the 19th Century
This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subject…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23715-2
- Collation
- Mathematics
- Series Title
- Springer Undergraduate Mathematics Series
- Call Number
- 510
The Real and the Complex: A History of Analysis in the 19th Century
This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studies the works of many contributors including Gauss, Cauchy, Riemann, and Weierstrass. This book is unique owing to the treatment of real and complex analysis as overlapping, inter-related subject…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-23715-2
- Collation
- XVI, 350, 71 b/w illustrations
- Series Title
- Springer Undergraduate Mathematics Series
- Call Number
- -
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
- -
- Series Title
- -
- Call Number
- -
An Introduction to Special Functions
The subjects treated in this book have been especially chosen to represent a bridge connecting the content of a first course on the elementary theory of analytic functions with a rigorous treatment of some of the most important special functions: the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function. Such special functions are indispensabl…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-41345-7
- Collation
- VIII, 168
- Series Title
- UNITEXT
- Call Number
- 515.5 VIO i
Methods of Applied Mathematics with a Software Overview
This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of p…
- Edition
- 2
- ISBN/ISSN
- 978-3-319-43369-1
- Collation
- XVII, 781
- Series Title
- Applied and Numerical Harmonic Analysis
- Call Number
- -
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
- -
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