Download PDF Discrete Mathematics (Universitext), by Jean Gallier
After knowing this extremely simple method to read and also get this Discrete Mathematics (Universitext), By Jean Gallier, why don't you tell to others concerning by doing this? You can tell others to visit this internet site and also choose searching them preferred publications Discrete Mathematics (Universitext), By Jean Gallier As understood, right here are bunches of lists that provide many type of publications to gather. Just prepare few time and also net connections to obtain guides. You can actually take pleasure in the life by reading Discrete Mathematics (Universitext), By Jean Gallier in a very basic way.
Discrete Mathematics (Universitext), by Jean Gallier
Download PDF Discrete Mathematics (Universitext), by Jean Gallier
New upgraded! The Discrete Mathematics (Universitext), By Jean Gallier from the very best author as well as author is now available here. This is the book Discrete Mathematics (Universitext), By Jean Gallier that will certainly make your day reviewing comes to be completed. When you are seeking the printed book Discrete Mathematics (Universitext), By Jean Gallier of this title in the book establishment, you could not discover it. The issues can be the limited editions Discrete Mathematics (Universitext), By Jean Gallier that are given up the book shop.
When visiting take the encounter or ideas types others, publication Discrete Mathematics (Universitext), By Jean Gallier can be a good resource. It's true. You could read this Discrete Mathematics (Universitext), By Jean Gallier as the resource that can be downloaded right here. The way to download is likewise easy. You can check out the web link page that we offer and then purchase guide making a bargain. Download and install Discrete Mathematics (Universitext), By Jean Gallier as well as you could put aside in your own gadget.
Downloading the book Discrete Mathematics (Universitext), By Jean Gallier in this web site lists could provide you much more advantages. It will certainly reveal you the very best book collections and finished collections. Many books can be discovered in this internet site. So, this is not just this Discrete Mathematics (Universitext), By Jean Gallier Nonetheless, this book is described read because it is an impressive book to make you a lot more possibility to get encounters as well as ideas. This is easy, read the soft data of the book Discrete Mathematics (Universitext), By Jean Gallier and you get it.
Your impression of this publication Discrete Mathematics (Universitext), By Jean Gallier will lead you to obtain exactly what you precisely require. As one of the inspiring books, this book will provide the presence of this leaded Discrete Mathematics (Universitext), By Jean Gallier to gather. Also it is juts soft documents; it can be your cumulative file in gadget as well as other device. The essential is that use this soft file publication Discrete Mathematics (Universitext), By Jean Gallier to check out and take the advantages. It is just what we imply as book Discrete Mathematics (Universitext), By Jean Gallier will certainly boost your thoughts and also mind. Then, reading publication will also boost your life quality much better by taking excellent activity in well balanced.
This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.
- Sales Rank: #3700536 in Books
- Published on: 2011-01-25
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x 1.13" w x 6.10" l, 1.50 pounds
- Binding: Paperback
- 466 pages
Review
From the reviews:
“This well-written, highly illustrated book will be very useful and interesting to students in both mathematics and computer science. … Attractive features of this book include clear presentations, end-of-chapter summaries and references, a useful set of problems of varying difficulty, and a symbol as well as a subject index. Summing Up: Highly recommended. Upper-division undergraduates, graduate students, and professionals/practitioners.” (D. V. Chopra, Choice, Vol. 48 (11), July, 2011)
“This book is intended to be a textbook for students in Computer Science, covering basic areas of Discrete Mathematics. … lots of references to supplementary or more advanced literature are provided, and less basic and more sophisticated problems as well as connections to other areas of science are given. Each chapter closes with a rich collection of exercises, which often include hints to their solution and further explanations.” (Martina Kubitzke, Zentralblatt MATH, Vol. 1227, 2012)
“This book provides a rigorous introduction to standard topics in the field: logical reasoning, sets, functions, graphs and counting techniques. Its intended audience is computer science undergraduate students, but could also be used in a course for mathematics majors. … Each chapter has a summary and a generous number of exercises … . The exposition is structured as a series of propositions and theorems that are proved clearly and in detail. Historical remarks and an abundance of photographs of mathematicians enliven the text.” (Gabriella Pinter, The Mathematical Association of America, February, 2012)
From the Back Cover
This book gives an introduction to discrete mathematics for beginning undergraduates and starts with a chapter on the rules of mathematical reasoning.
�
This book �begins with a presentation of the rules of logic as used in mathematics where many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book deals with functions and relations, directed and undirected graphs and an introduction to combinatorics, partial orders and complete induction. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory where Eulerian and Hamiltonian cycles are discussed. This book also includes network flows, matchings, covering, bipartite graphs, planar graphs and state the graph minor theorem of Seymour and Robertson.
�
The book is highly illustrated� and each chapter ends with a list of problems of varying difficulty. Undergraduates in mathematics and computer science will find this book useful.
�
About the Author
Jean Gallier is a Professor in the Computer and Information Science Department, School of Engineering and Applied Science at the University of Pennsylvania.
Most helpful customer reviews
0 of 0 people found the following review helpful.
Ivy League mess
By Jeffrey Rubard
Discrete mathematics (so-called because it handles a bunch of seemingly "random" topics) is the red-headed stepchild of math; nearly every computer science student is required to take a course in it, but there is little glamor to it and so the textbooks about it are usually very wooden. Jean Gallier, who teaches at Penn, has tried to duplicate the flavor of an introductory yet high-powered course in this Springer Universitext; however, those of you who aren't "Ivy Leaguers" will not be particularly well-served by his presentation. Gallier writes in an "engaging" style but four hundred and fifty pages later the reader is not yet particularly engaged; the topics covered in this way come across as a weird mix of very basic principles of modern math and highly abstract topics which are mostly gestured at.
The book starts with a chapter on logic that is far too advanced; I cannot imagine that even an average computer science PhD will need to know Kripke's semantics for intuitionistic logic. It is then followed by sections on set theory which are too primitive; it seems likely that even a four-year CS student will need to know several versions of the axiom of choice. The two chapters on graph theory are adequate, although too little care is taken in presenting the graph-theoretic algorithms programmers may very well have a need to use in practice; another chapter goes on about the RSA public-key cryptography system at length, then directs the reader to "more complete" discussions of the system in other books. (The section on lattices, a topic where a great deal of "pure" logic is naturally and neatly encapsulated in a properly "mathematical" structure, is the best of the bunch.)
Color printing is used badly, for only a few of the diagrams in the book require it and the endless cavalcade of postage-stamp-sized portraits of (male) mathematicians is gratuitous *tout court*. For a person like me with limited knowledge of the "purer" mathematical topics addressed there is some value to this as a "starter", but another book will be required to achieve an adequate mastery of the field.
Discrete Mathematics (Universitext), by Jean Gallier PDF
Discrete Mathematics (Universitext), by Jean Gallier EPub
Discrete Mathematics (Universitext), by Jean Gallier Doc
Discrete Mathematics (Universitext), by Jean Gallier iBooks
Discrete Mathematics (Universitext), by Jean Gallier rtf
Discrete Mathematics (Universitext), by Jean Gallier Mobipocket
Discrete Mathematics (Universitext), by Jean Gallier Kindle
Tidak ada komentar:
Posting Komentar