Adventures in Graph Theory
Title | Adventures in Graph Theory PDF eBook |
Author | W. David Joyner |
Publisher | Birkhäuser |
Pages | 344 |
Release | 2017-12-28 |
Genre | Mathematics |
ISBN | 3319683837 |
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.
Two Adventures in Spectral Graph Theory
Title | Two Adventures in Spectral Graph Theory PDF eBook |
Author | Danielle Rogers |
Publisher | |
Pages | 0 |
Release | 2023 |
Genre | |
ISBN |
The Fascinating World of Graph Theory
Title | The Fascinating World of Graph Theory PDF eBook |
Author | Arthur Benjamin |
Publisher | Princeton University Press |
Pages | 338 |
Release | 2017-06-06 |
Genre | Mathematics |
ISBN | 0691175632 |
The history, formulas, and most famous puzzles of graph theory Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.
Graph Theory, 1736-1936
Title | Graph Theory, 1736-1936 PDF eBook |
Author | Norman Biggs |
Publisher | Oxford University Press |
Pages | 260 |
Release | 1986 |
Genre | Mathematics |
ISBN | 9780198539162 |
First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical terminology and notation.
Graph Theory with Applications
Title | Graph Theory with Applications PDF eBook |
Author | C. Vasudev |
Publisher | New Age International |
Pages | 25 |
Release | 2006 |
Genre | Graph theory |
ISBN | 812241737X |
Over 1500 problems are used to illustrate concepts, related to different topics, and introduce applications.Over 1000 exercises in the text with many different types of questions posed. Precise mathematical language is used without excessive formalism and abstraction. Care has been taken to balance the mix of notation and words in mathematical statements. Problem sets are stated clearly and unambiguously, and all are carefully graded for various levels of difficulty. This text has been carefully designed for flexible use.
An Adventurer's Guide to Number Theory
Title | An Adventurer's Guide to Number Theory PDF eBook |
Author | Richard Friedberg |
Publisher | Courier Corporation |
Pages | 241 |
Release | 2012-07-06 |
Genre | Mathematics |
ISBN | 0486152693 |
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.
Topics in Graph Theory
Title | Topics in Graph Theory PDF eBook |
Author | Wilfried Imrich |
Publisher | CRC Press |
Pages | 219 |
Release | 2008-10-27 |
Genre | Mathematics |
ISBN | 1439865337 |
From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way,