## A History of Pi Ed 19

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress — and also when…

## Introduction to Combinatorics Ed 2

Praise for the First Edition “This excellent text should prove a useful accoutrement for any developing mathematics program . . . it’s short, it’s sweet, it’s beautifully written.” ―The Mathematical Intelligencer “Erickson has prepared an exemplary work . . . strongly recommended for inclusion in…

## Quantum Teleportation and Entanglement: A Hybrid Approach to Optical Quantum Information Processing

Unique in that it is jointly written by an experimentalist and a theorist, this monograph presents universal quantum computation based on quantum teleportation as an elementary subroutine and multi-party entanglement as a universal resource. Optical approaches to measurement-based quantum computation are also described, including schemes…

## Regularization Algorithms for Ill-Posed Problems (Inverse and Ill-posed Problems)

This specialized and authoritative book presents the state of the art on iterative algorithms and methods for the regularization of a variety of ill-posed problems. Topics covered include iterative regularization of linear and nonlinear operator equations in Hilbert and Banach spaces, regularization of ill-posed Cauchy…

## Disrupted Networks: From Physics to Climate Change (Studies of Nonlinear Phenomena in Life Science)

This book provides a lens through which modern society is shown to depend on complex networks for its stability. One way to achieve this understanding is through the development of a new kind of science, one that is not explicitly dependent on the traditional disciplines…

## Mathematics & Mathematics Education

This volume covers a wide range of areas in mathematics and mathematics education. There is emphasis on applied mathematics, including partial differential equations, dynamical systems, and difference equations. Other areas represented include algebra and number theory, statistics, and issues in mathematics education.The proceedings have been…

## Introduction to Enumerative Combinatorics (Walter Rudin Student Series in Advanced Mathematics)

Written by one of the leading authors and researchers in the field, this comprehensive modern text offers a strong focus on enumeration, a vitally important area in introductory combinatorics crucial for further study in the field. Miklós Bóna’s text fills the gap between introductory textbooks…

## Yakov Berkovich, Zvonimir Janko: Groups of Prime Power Order (De Gruyter Expositions in Mathematics)

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and…

## Commutative Algebra (De Gruyter Textbook)

This unique book on commutative algebra is divided into two parts in order to facilitate its use in several types of courses. The first introductory part covers the basic theory, connections with algebraic geometry, computational aspects, and extensions to module theory. The more advanced second…

## Fixing Frege (Princeton Monographs in Philosophy)

The great logician Gottlob Frege attempted to provide a purely logical foundation for mathematics. His system collapsed when Bertrand Russell discovered a contradiction in it. Thereafter, mathematicians and logicians, beginning with Russell himself, turned in other directions to look for a framework for modern abstract…

## From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein, Callaghan, Australia, September 2017 (Springer Proceedings in Mathematics & Statistics (313))

Students and researchers from all fields of mathematics are invited to read and treasure this special Proceedings. A conference was held 25 –29 September 2017 at Noah’s On the Beach, Newcastle, Australia, to commemorate the life and work of Jonathan M. Borwein, a mathematician extraordinaire…

## The Character Theory of Finite Groups of Lie Type: A Guided Tour (Cambridge Studies in Advanced Mathematics)

Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics…

## Groups and Symmetries: From Finite Groups to Lie Groups (Universitext)

Beginning with a review of the basic definitions and results of group theory, this volume illustrates definitions with examples important to the study of symmetry. With only linear algebra and calculus as prerequisites, this book will be widely accessible.

## MATLAB Differential and Integral Calculus

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than…

## How to Prove It: A Structured Approach Ed 3

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text’s third edition helps students transition from solving problems to proving theorems by…

## How To Read And Critique A Scientific Research Article: Notes To Guide Students Reading Primary Literature (With Teaching Tips For Faculty Members)

Given the explosion of information and knowledge in the field of Life Sciences, adapting primary literature as materials in course work as part of active learning seems to be more effective in improving scientific literacy among science undergraduates than the pure transmission of content knowledge…

## Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory (SpringerBriefs in Mathematics)

This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers. Group homology integrates group actions into homological structure. Coefficients based on probability measure preserving actions combine ergodic theory and homology. An example of…

## Periods in Quantum Field Theory and Arithmetic: ICMAT, Madrid, Spain, September 15 – December 19, 2014 (Springer Proceedings in Mathematics & Statistics (314))

This book is the outcome of research initiatives formed during the special “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory” at the ICMAT (Instituto de Ciencias Matemáticas, Madrid) in 2014. The activity was aimed at understanding and deepening recent developments where…

## Bimonoids for Hyperplane Arrangements (Encyclopedia of Mathematics and its Applications)

The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal’s…

## Spectral Theory: Basic Concepts and Applications (Graduate Texts in Mathematics (284))

This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring…

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