Adventures in Graph Theory

Adventures in Graph Theory

Author: W. David Joyner

Publisher: Birkhäuser

Published: 2017-12-28

Total Pages: 344

ISBN-13: 3319683837

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This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book’s source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.


Alex's Adventures in Numberland

Alex's Adventures in Numberland

Author: Alex Bellos

Publisher: A&C Black

Published: 2011-04-04

Total Pages: 450

ISBN-13: 1408809591

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The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan. Packed with fascinating, eye-opening anecdotes, Alex's Adventures in Numberland is an exhilarating cocktail of history, reportage and mathematical proofs that will leave you awestruck.


Adventures in Group Theory

Adventures in Group Theory

Author: David Joyner

Publisher: JHU Press

Published: 2008-12-29

Total Pages: 329

ISBN-13: 0801890136

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David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.


Adventures in Celestial Mechanics

Adventures in Celestial Mechanics

Author: Victor G. Szebehely

Publisher: John Wiley & Sons

Published: 2008-07-11

Total Pages: 320

ISBN-13: 3527617795

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A fascinating introduction to the basic principles of orbital mechanics It has been three hundred years since Isaac Newton first formulated laws to explain the orbits of the Moon and the planets of our solar system. In so doing he laid the groundwork for modern science's understanding of the workings of the cosmos and helped pave the way to the age of space exploration. Adventures in Celestial Mechanics offers students an enjoyable way to become acquainted with the basic principles involved in the motions of natural and human-made bodies in space. Packed with examples in which these principles are applied to everything from a falling stone to the Sun, from space probes to galaxies, this updated and revised Second Edition is an ideal introduction to celestial mechanics for students of astronomy, physics, and aerospace engineering. Other features that helped make the first edition of this book the text of choice in colleges and universities across North America include: * Lively historical accounts of important discoveries in celestial mechanics and the men and women who made them * Superb illustrations, photographs, charts, and tables * Helpful chapter-end examples and problem sets


Graphic Discovery

Graphic Discovery

Author: Howard Wainer

Publisher: Princeton University Press

Published: 2013-10-24

Total Pages: 209

ISBN-13: 1400849276

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Good graphs make complex problems clear. From the weather forecast to the Dow Jones average, graphs are so ubiquitous today that it is hard to imagine a world without them. Yet they are a modern invention. This book is the first to comprehensively plot humankind's fascinating efforts to visualize data, from a key seventeenth-century precursor--England's plague-driven initiative to register vital statistics--right up to the latest advances. In a highly readable, richly illustrated story of invention and inventor that mixes science and politics, intrigue and scandal, revolution and shopping, Howard Wainer validates Thoreau's observation that circumstantial evidence can be quite convincing, as when you find a trout in the milk. The story really begins with the eighteenth-century origins of the art, logic, and methods of data display, which emerged, full-grown, in William Playfair's landmark 1786 trade atlas of England and Wales. The remarkable Scot singlehandedly popularized the atheoretical plotting of data to reveal suggestive patterns--an achievement that foretold the graphic explosion of the nineteenth century, with atlases published across the observational sciences as the language of science moved from words to pictures. Next come succinct chapters illustrating the uses and abuses of this marvelous invention more recently, from a murder trial in Connecticut to the Vietnam War's effect on college admissions. Finally Wainer examines the great twentieth-century polymath John Wilder Tukey's vision of future graphic displays and the resultant methods--methods poised to help us make sense of the torrent of data in our information-laden world.


An Adventurer's Guide to Number Theory

An Adventurer's Guide to Number Theory

Author: Richard Friedberg

Publisher: Courier Corporation

Published: 2012-07-06

Total Pages: 241

ISBN-13: 0486152693

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This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.


Adventures Between Lower Bounds and Higher Altitudes

Adventures Between Lower Bounds and Higher Altitudes

Author: Hans-Joachim Böckenhauer

Publisher: Springer

Published: 2018-09-04

Total Pages: 658

ISBN-13: 3319983555

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This Festschrift volume is published in honor of Juraj Hromkovič on the occasion of his 60th birthday. Juraj Hromkovič is a leading expert in the areas of automata and complexity theory, algorithms for hard problems, and computer science education. The contributions in this volume reflect the breadth and impact of his work. The volume contains 35 full papers related to Juraj Hromkovič’s research. They deal with various aspects of the complexity of finite automata, the information content of online problems, stability of approximation algorithms, reoptimization algorithms, computer science education, and many other topics within the fields of algorithmics and complexity theory. Moreover, the volume contains a prologue and an epilogue of laudatios from several collaborators, colleagues, and friends.


The Abominable Snowman

The Abominable Snowman

Author: R. A. Montgomery

Publisher:

Published: 1987

Total Pages: 116

ISBN-13: 9780942545029

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The reader, as an expert mountain climber, embarks on an expedition in the Himalayas to find the Yeti and rescue a fellow climber. By choosing the specific pages, the reader determines the outcome of the plot.


Advances in Human Factors and Systems Interaction

Advances in Human Factors and Systems Interaction

Author: Isabel L. Nunes

Publisher: Springer

Published: 2019-06-04

Total Pages: 606

ISBN-13: 303020040X

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This book reports on cutting-edge research into innovative system interfaces, highlighting both lifecycle development and human–technology interaction, especially in virtual, augmented and mixed-reality systems. It describes advanced methodologies and tools for evaluating and improving interface usability and discusses new models, as well as case studies and good practices. The book addresses the human, hardware, and software factors in the process of developing interfaces for optimizing total system performance, while minimizing their costs. It also highlights the forces currently shaping the nature of computing and systems, such as: the importance of portability and technologies for reducing power requirements; the necessity of a better assimilation of computation in the environment; as well as solutions to promote accessibility to computers and systems for people with special needs. The book, which is based on the AHFE 2019 International Conference on Human Factors and Systems Interaction, held on July 24-28, 2019, in Washington D.C., USA, offers a timely survey and practice-oriented guide for systems interface users and developers alike.


Algebraic Graph Theory

Algebraic Graph Theory

Author: Ulrich Knauer

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2019-10-08

Total Pages: 350

ISBN-13: 3110617366

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Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.