Mathematical Constants

Author: Steven R. Finch
Publisher: Cambridge University Press
ISBN: 0521818052
Release Date: 2003-08-18
Genre: Mathematics

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Mathematical Constants II

Author: Steven R. Finch
Publisher: Cambridge University Press
ISBN: 9781108604031
Release Date: 2018-12-06
Genre: Mathematics

Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson–Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl–Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton–Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Irresistible Integrals

Author: George Boros
Publisher: Cambridge University Press
ISBN: 0521796369
Release Date: 2004-06-21
Genre: Mathematics

The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in nineteenth century analysis and it has now been revived with the appearance of symbolic languages. The authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting-rather than the shortest-path to the results. They illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This is a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.

The Discrete Math Workbook

Author: Sergei Kurgalin
Publisher: Springer
ISBN: 9783319926452
Release Date: 2018-07-31
Genre: Computers

This practically-oriented textbook presents an accessible introduction to discrete mathematics through a substantial collection of classroom-tested exercises. Each chapter opens with concise coverage of the theory underlying the topic, reviewing the basic concepts and establishing the terminology, as well as providing the key formulae and instructions on their use. This is then followed by a detailed account of the most common problems in the area, before the reader is invited to practice solving such problems for themselves through a varied series of questions and assignments. Topics and features: provides an extensive set of exercises and examples of varying levels of complexity, suitable for both laboratory practical training and self-study; offers detailed solutions to many problems, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus. This hands-on study guide is designed to address the core needs of undergraduate students training in computer science, informatics, and electronic engineering, emphasizing the skills required to develop and implement an algorithm in a specific programming language.

Theorie und Anwendung der Unendlichen Reihen

Author: Konrad Knopp
Publisher: Springer-Verlag
ISBN: 9783662419977
Release Date: 2013-12-11
Genre: Mathematics

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Multiple Scattering

Author: P. A. Martin
Publisher: Cambridge University Press
ISBN: 9780521865548
Release Date: 2006-08-03
Genre: Mathematics

First book devoted to subject; an essential reference for applied mathematicians, physicists and engineers.

Model Theory

Author: Wilfrid Hodges
Publisher: Cambridge University Press
ISBN: 0521304423
Release Date: 1993-03-11
Genre: Mathematics

Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.

Encyclopedia of Nonlinear Science

Author: Alwyn Scott
Publisher: Routledge
ISBN: 9781135455583
Release Date: 2006-05-17
Genre: Reference

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Pi

Author: Jörg Arndt
Publisher: Springer-Verlag
ISBN: 9783662093603
Release Date: 2013-03-14
Genre: Computers


Lattice Sums Then and Now

Author: J. M. Borwein
Publisher: Cambridge University Press
ISBN: 9781107039902
Release Date: 2013-09-05
Genre: Mathematics

This comprehensive overview of lattice sums is long overdue for a topic that is important in diverse areas of science.

Exact Constants in Approximation Theory

Author: N. Korneichuk
Publisher: Cambridge University Press
ISBN: 0521382343
Release Date: 1991-06-06
Genre: Mathematics

A self-contained introduction for non-specialists, or a reference work for experts, on the area of approximation theory concerned with exact constants.