Series: Trends in Mathematics
1st ed. 2016, Approx. 520 p.
Hardcover
ISBN 978-3-319-27840-7
* Provides insights into the state of the art in positivity
* Reflects the main points of focus in the field and reports on the latest
developments
* Dedicated to Adriaan Cornelis Zaanen, one of the leaders in the field during his lifetime
This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden,
the Netherlands. This was also the Zaanen Centennial Conference to mark the 100th birth
year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25
years and was one of the leaders in the field during his lifetime.
Positivity is the mathematical field concerned with ordered structures and their
applications in the broadest sense of the word. A biyearly series of conferences is devoted
to presenting the latest developments in this lively and growing discipline. The lectures
at the conference covered a broad spectrum of topics, ranging from order-theoretic
approaches to stochastic processes, positive solutions of evolution equations and positive
operators on vector lattices, to order structures in the context of algebras of operators on
Hilbert spaces. The contributions in the book reflect this variety and appeal to university
researchers in functional analysis, operator theory, measure and integration theory and
operator algebras.
CRC Press 2016 352 pages
Series: Textbooks in Mathematics
Paperback:
978-1-49-875567-2
3rd May 2016
This supplemental text allows instructors and students to add a MatLab content to a complex variables course. This book seeks to create a bridge between functions of a complex variable and MATLAB. Every math department teaches a course in Complex Variables, often taken by engineering students. Complex variable theory is about half of a required course in advanced engineering mathematics, methods of mathematical physics. Professors may find and assign MATLAB programming problems that will strengthen the studentfs knowledge of not only that language but the concepts of complex variable theory.
A MATLAB COMPANION TO COMPLEX VARIABLES. Introduction. Chapter 1 Complex Arithmetic. Chapter 2 Loci and Regions in the Complex Plane, and Displaying Complex Functions. Chapter 3 Sequences, Series, Limits and Integrals. Chapter 4 Harmonic Functions, Conformal Mapping and Some Applications. Chapter 5 Polynomials, Roots, Principle of the Argument and Nyquist Plots. Chapter 6 Transforms: Laplace, Fourier, Z and Hilbert. Coda: Fractals and the Mandelbrot Set
Chapman and Hall/CRC 2016 304 pages
Series: Discrete Mathematics and Its Applications
Hardback:
978-1-49-873596-4
14th September 2016
The main topic is what the title indicates: to collect, survey and categorize the results and theories achieved in the last 30 years with gpolynomial methodsh, mostly (but not exclusively) in finite geometries. It contains techniques based on the careful examination of coefficients of polynomials, resultants, algebraic curves, subspaces generated by certain polynomials, random-like behaviour, etc. Our polynomials are usually defined over a finite field, and they express some combinatorial or geometric property of a combinatorial or geometric structure. We go through several types of applications of the methods. There will be more than a hundred exercises with short solutions.
Chapman and Hall/CRC 2016 352 pages
Series: Discrete and Combinatorial Mathematics Series
Hardback: 57.95
978-1-49-871912-4
25th October 2016
This book focuses on symmetric groups and representation theory. The symmetric group is a central object in discrete mathematics. It can be studied from a combinatorial, algorithmic, or algebraic viewpoint, and the results can be applied in a plethora of other fields, such as physics and computer science. This book is the most up-to-date one on the topic, bringing together new research and results.
CRC Press 2016 552 pages
Series: Discrete Mathematics and Its Applications
Hardback
978-1-49-875071-4
25th November 2016
The subject is at the crossroads of Discrete Mathematics and Computer Science, with a strong probabilistic flavor. The main tools used before are on the one hand analytic (generating functions and complex analysis), and on the other probabilistic (strong laws, central limit theorems, martingales, etc.) Often, professionals worked with one set of tools or the other. We offer a reconciliation to espouse these fields to come in hand-in-hand offering a harmonious and beneficial marriage.
1 Algorithmics 2 Counting: Tools and Strategies 3 Symbolic Calculus 4 Languages and Their Generating Functions 5 Probability in Algorithmics 6 Data Models 7 Sorting Nonuniform Data 8 Nonuniform Polya Urn Schemes 9 Nonuniform trees