Mathematical Analysis category: 956 books
Complex Numbers
Lattice Simulation and Zeta Function Applications
Language: English
Release Date: July 1, 2007
An informative and useful account of complex numbers that includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the ever-elusory Riemann hypothesis. Stephen Roy assumes no detailed mathematical knowledge on the part of the reader and provides a fascinating...
Current Trends in Analysis and Its Applications
Proceedings of the 9th ISAAC Congress, Kraków 2013
Language: English
Release Date: February 4, 2015
This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Kraków, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics:
- Differential...
An Introduction to SAGE Programming
With Applications to SAGE Interacts for Numerical Methods
Language: English
Release Date: December 18, 2015
Features a simplified presentation of numerical methods by introducing and implementing SAGE programs
An Introduction to SAGE Programming: With Applications to SAGE Interacts for Numerical Methods emphasizes how to implement numerical methods using SAGE Math and SAGE Interacts and also addresses...
by Stephen Abbott
Language: English
Release Date: May 19, 2015
Language: English
Release Date: May 19, 2015
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed...
The Corona Problem
Connections Between Operator Theory, Function Theory, and Geometry
Language: English
Release Date: August 5, 2014
The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was held in June 2012 at the Fields Institute in Toronto,...
Real Analysis
Foundations and Functions of One Variable
Language: English
Release Date: October 8, 2015
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the...
by Walter Rudin
Language: English
Release Date: April 19, 2017
Language: English
Release Date: April 19, 2017
Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first publication in 1962. The enduringly relevant treatment is geared toward advanced undergraduate and...
by Paul Loya
Language: English
Release Date: May 11, 2018
Language: English
Release Date: May 11, 2018
Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student...
Isospectral Transformations
A New Approach to Analyzing Multidimensional Systems and Networks
Language: English
Release Date: September 3, 2014
This book presents a new approach to the analysis of networks, which emphasizes how one can compress a network while preserving all information relative to the network's spectrum. Besides these compression techniques, the authors introduce a number of other isospectral transformations and demonstrate...
Number Theory, Analysis and Geometry
In Memory of Serge Lang
Language: English
Release Date: December 21, 2011
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject...
Dynamical Systems: Theoretical and Experimental Analysis
Łódź, Poland, December 7-10, 2015
Language: English
Release Date: September 17, 2016
The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Łódź, Poland on December 7-10, 2015.
The...
by Truman Arthur Botts, Edward James McShane
Language: English
Release Date: November 7, 2013
Language: English
Release Date: November 7, 2013
This text offers upper-level undergraduates and graduate students a survey of practical elements of real function theory, general topology, and functional analysis. Beginning with a brief discussion of proof and definition by mathematical induction, it freely uses these notions and techniques. The...
by Kenneth Hoffman
Language: English
Release Date: January 16, 2013
Language: English
Release Date: January 16, 2013
Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory.
Starting with an overview of the...
by Harry F. Davis
Language: English
Release Date: September 5, 2012
Language: English
Release Date: September 5, 2012
This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in...