Number Theory And Discrete Mathematics

Number Theory And Discrete Mathematics Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Number Theory And Discrete Mathematics book. This book definitely worth reading, it is an incredibly well-written.

Discrete Mathematics

Oscar Levin
Discrete Mathematics Book PDF

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 53,8 Mb
Release : 2018-07-30
Category : Electronic
ISBN : 1724572636

Get Book

Discrete Mathematics by Oscar Levin Pdf

Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.

Combinatorics and Number Theory of Counting Sequences

Istvan Mezo
Combinatorics and Number Theory of Counting Sequences Book PDF

Author : Istvan Mezo
Publisher : CRC Press
Page : 480 pages
File Size : 41,6 Mb
Release : 2019-08-19
Category : Computers
ISBN : 9781351346382

Get Book

Combinatorics and Number Theory of Counting Sequences by Istvan Mezo Pdf

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations. The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those high school students and teachers who are interested in combinatorics can have the benefit of them. Still, the book collects vast, up-to-date information for many counting sequences (especially, related to set partitions and permutations), so it is a must-have piece for those mathematicians who do research on enumerative combinatorics. In addition, the book contains number theoretical results on counting sequences of set partitions and permutations, so number theorists who would like to see nice applications of their area of interest in combinatorics will enjoy the book, too. Features The Outlook sections at the end of each chapter guide the reader towards topics not covered in the book, and many of the Outlook items point towards new research problems. An extensive bibliography and tables at the end make the book usable as a standard reference. Citations to results which were scattered in the literature now become easy, because huge parts of the book (especially in parts II and III) appear in book form for the first time.

Number Theory and Discrete Mathematics

A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt
Number Theory and Discrete Mathematics Book PDF

Author : A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt
Publisher : Birkhäuser
Page : 314 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882231

Get Book

Number Theory and Discrete Mathematics by A.K. Agarwal,Bruce C. Berndt,Christian F. Krattenthaler,Gary L. Mullen,K. Ramachandra,Michel Waldschmidt Pdf

To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 2-6, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K. N. Pathak, Hon. Vice-Chancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, Urbana Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujan--as one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5-day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: • M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values. • C.

Computational Number Theory

Abhijit Das
Computational Number Theory Book PDF

Author : Abhijit Das
Publisher : CRC Press
Page : 614 pages
File Size : 54,9 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9781482205824

Get Book

Computational Number Theory by Abhijit Das Pdf

Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract

Fundamental Number Theory with Applications

Richard A. Mollin
Fundamental Number Theory with Applications Book PDF

Author : Richard A. Mollin
Publisher : CRC Press
Page : 382 pages
File Size : 47,8 Mb
Release : 2008-02-21
Category : Mathematics
ISBN : 9781420066616

Get Book

Fundamental Number Theory with Applications by Richard A. Mollin Pdf

An update of the most accessible introductory number theory text available, Fundamental Number Theory with Applications, Second Edition presents a mathematically rigorous yet easy-to-follow treatment of the fundamentals and applications of the subject. The substantial amount of reorganizing makes this edition clearer and more elementary in its coverage. New to the Second Edition • Removal of all advanced material to be even more accessible in scope • New fundamental material, including partition theory, generating functions, and combinatorial number theory • Expanded coverage of random number generation, Diophantine analysis, and additive number theory • More applications to cryptography, primality testing, and factoring • An appendix on the recently discovered unconditional deterministic polynomial-time algorithm for primality testing Taking a truly elementary approach to number theory, this text supplies the essential material for a first course on the subject. Placed in highlighted boxes to reduce distraction from the main text, nearly 70 biographies focus on major contributors to the field. The presentation of over 1,300 entries in the index maximizes cross-referencing so students can find data with ease.

Algebraic Number Theory

Richard A. Mollin
Algebraic Number Theory Book PDF

Author : Richard A. Mollin
Publisher : CRC Press
Page : 424 pages
File Size : 53,9 Mb
Release : 2011-01-05
Category : Computers
ISBN : 9781439845998

Get Book

Algebraic Number Theory by Richard A. Mollin Pdf

Bringing the material up to date to reflect modern applications, this second edition has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. It offers a more complete and involved treatment of Galois theory, a more comprehensive section on Pollard's cubic factoring algorithm, and more detailed explanations of proofs to provide a sound understanding of challenging material. This edition also studies binary quadratic forms and compares the ideal and form class groups. The text includes convenient cross-referencing, a comprehensive index, and numerous exercises and applications.

A Logical Approach to Discrete Math

David Gries,Fred B. Schneider
A Logical Approach to Discrete Math Book PDF

Author : David Gries,Fred B. Schneider
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 43,8 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9781475738377

Get Book

A Logical Approach to Discrete Math by David Gries,Fred B. Schneider Pdf

Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.

Introduction to Number Theory

Anthony Vazzana,Martin Erickson,David Garth
Introduction to Number Theory Book PDF

Author : Anthony Vazzana,Martin Erickson,David Garth
Publisher : CRC Press
Page : 537 pages
File Size : 53,5 Mb
Release : 2007-10-30
Category : Mathematics
ISBN : 9781584889373

Get Book

Introduction to Number Theory by Anthony Vazzana,Martin Erickson,David Garth Pdf

One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics. This classroom-tested, student-friendly text covers a wide range of subjects, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments that include cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and MapleTM calculations while giving brief tutorials on the software in the appendices. Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory.

Basic Discrete Mathematics

Richard Kohar
Basic Discrete Mathematics Book PDF

Author : Richard Kohar
Publisher : World Scientific Publishing Company
Page : 732 pages
File Size : 55,8 Mb
Release : 2016-06-15
Category : Mathematics
ISBN : 9789814730419

Get Book

Basic Discrete Mathematics by Richard Kohar Pdf

This lively introductory text exposes the student in the humanities to the world of discrete mathematics. A problem-solving based approach grounded in the ideas of George Pólya are at the heart of this book. Students learn to handle and solve new problems on their own. A straightforward, clear writing style and well-crafted examples with diagrams invite the students to develop into precise and critical thinkers. Particular attention has been given to the material that some students find challenging, such as proofs. This book illustrates how to spot invalid arguments, to enumerate possibilities, and to construct probabilities. It also presents case studies to students about the possible detrimental effects of ignoring these basic principles. The book is invaluable for a discrete and finite mathematics course at the freshman undergraduate level or for self-study since there are full solutions to the exercises in an appendix. "Written with clarity, humor and relevant real-world examples, Basic Discrete Mathematics is a wonderful introduction to discrete mathematical reasoning."- Arthur Benjamin, Professor of Mathematics at Harvey Mudd College, and author of The Magic of Math

Number Theory

W.A. Coppel
Number Theory Book PDF

Author : W.A. Coppel
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 52,7 Mb
Release : 2006-02-02
Category : Mathematics
ISBN : 0387298517

Get Book

Number Theory by W.A. Coppel Pdf

This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.

Discrete Mathematics and Graph Theory

K. Erciyes
Discrete Mathematics and Graph Theory Book PDF

Author : K. Erciyes
Publisher : Springer Nature
Page : 345 pages
File Size : 42,5 Mb
Release : 2021-01-28
Category : Computers
ISBN : 9783030611156

Get Book

Discrete Mathematics and Graph Theory by K. Erciyes Pdf

This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula. The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices. Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory. The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.

Number Theory

Michel Waldschmidt
Number Theory Book PDF

Author : Michel Waldschmidt
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 41,7 Mb
Release : 1998
Category : Nombres, Théorie des - Congrès
ISBN : 9780821806067

Get Book

Number Theory by Michel Waldschmidt Pdf

To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory, and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.

Elliptic Curves

Lawrence C. Washington
Elliptic Curves Book PDF

Author : Lawrence C. Washington
Publisher : CRC Press
Page : 533 pages
File Size : 43,8 Mb
Release : 2008-04-03
Category : Computers
ISBN : 9781420071474

Get Book

Elliptic Curves by Lawrence C. Washington Pdf

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and application

Discrete Mathematics

László Lovász,József Pelikán,Katalin Vesztergombi
Discrete Mathematics Book PDF

Author : László Lovász,József Pelikán,Katalin Vesztergombi
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 46,9 Mb
Release : 2006-05-10
Category : Mathematics
ISBN : 9780387217772

Get Book

Discrete Mathematics by László Lovász,József Pelikán,Katalin Vesztergombi Pdf

Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.

Handbook of Number Theory I

József Sándor,Dragoslav S. Mitrinovic,Borislav Crstici
Handbook of Number Theory I Book PDF

Author : József Sándor,Dragoslav S. Mitrinovic,Borislav Crstici
Publisher : Springer Science & Business Media
Page : 638 pages
File Size : 45,6 Mb
Release : 2005-11-17
Category : Mathematics
ISBN : 9781402042157

Get Book

Handbook of Number Theory I by József Sándor,Dragoslav S. Mitrinovic,Borislav Crstici Pdf

This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.