Mathematics

Good Math

Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought.

Mathematics for Informatics and Computer Science

How many ways do exist to mix different ingredients, how many chances to win a gambling game, how many possible paths going from one place to another in a network? To this kind of questions Mathematics applied to computer gives a stimulating and exhaustive answer. This text, presented in three parts (Combinatorics, Probability, Graphs) addresses all those who wish to acquire basic or advanced knowledge in combinatorial theories.

The Theory of the Top Volume III: Perturbations. Astronomical and Geophysical Applications

The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Göttingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. The Theory of the Top: Volume III. Perturbations: Astronomical and Geophysical Applications is the third installment in a series of four self-contained English translations that provide insights into kinetic theory and kinematics.

The Monte Carlo Simulation Method for System Reliability and Risk Analysis

Monte Carlo simulation is one of the best tools for performing realistic analysis of complex systems as it allows most of the limiting assumptions on system behavior to be relaxed. The Monte Carlo Simulation Method for System Reliability and Risk Analysis comprehensively illustrates the Monte Carlo simulation method and its application to reliability and system engineering. Readers are given a sound understanding of the fundamentals of Monte Carlo sampling and simulation and its application for realistic system modeling.

The Mathematical Legacy of Leon Ehrenpreis

Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which were his collaborators.

The History of Mathematics: A Brief Course, 3rd Edition

Praise for the Second Edition. "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." CHOICE. This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed.

The Art of Data Analysis: How to Answer Almost any Question Using Basic Statistics

A friendly and accessible approach to applying statistics in the real world. With an emphasis on critical thinking, The Art of Data Analysis: How to Answer Almost Any Question Using Basic Statistics presents fun and unique examples, guides readers through the entire data collection and analysis process, and introduces basic statistical concepts along the way.

Teaching Secondary and Middle School Mathematics (4th Edition)

Teaching Secondary and Middle School Mathematics is designed for pre-service or in-service teachers. It combines up-to-date technology and research with a vibrant writing style to help teachers grasp curriculum, teaching, and assessment issues as they relate to secondary and middle school mathematics. The fourth edition offers a balance of theory and practice, including a wealth of examples and descriptions of student work, classroom situations, and technology usage to assist any teacher in visualizing high-quality mathematics instruction in the middle and secondary classroom.

Taschenbuch der Wirtschafts-mathematik, 6 Auflage

Das Taschenbuch der Wirtschaftsmathematik stellt eine Brucke zwischen mathematischen Verfahren und wirtschaftlichen Anwendungen in komprimierter Form dar. Das Taschenbuch wendet sich sowohl an Studierende wirtschaftlicher Fachrichtungen, Teilnehmer an beruflichen Weiterbildungen als auch an die in der Praxis tatigen Wirtschaftswissenschaftler.

Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

What is algebra? For some, it is an abstract language of x's and y's. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century.

Summus Mathematicus et Omnis Humanitatis Pater: The Vitae of Vittorino da Feltre and the Spirit of Humanism

This book revises the picture of the teacher and educator of princes, Vittorino Rambaldoni da Feltre (c. 1378, Feltre 1446, Mantua), taking a completely new approach to show his work and life from the individual perspectives created by his students and contemporaries. From 1423 to 1446, Vittorino da Feltre was in charge of a school in Mantua, where his students included not only the offspring of Italy’s princes, but also the first generation of authors dealing with books in print.

Sub-Riemannian Geometry and Optimal Transport

The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all the proofs of the stated results, leads the reader step by step from the notion of distribution at the very beginning to the existence of optimal transport maps for Lipschitz sub-Riemannian structure. The combination of geometry presented from an analytic point of view and of optimal transport, makes the book interesting for a very large community. This set of notes grew from a series of lectures given by the author during a CIMPA school in Beirut, Lebanon.

 

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