A Journey Through Discrete Mathematics

DOWNLOAD

Download A Journey Through Discrete Mathematics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Journey Through Discrete Mathematics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

A Journey Through Discrete Mathematics

DOWNLOAD
Author : Martin Loebl
language : en
Publisher: Springer
Release Date : 2017-10-11

A Journey Through Discrete Mathematics written by Martin Loebl and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-11 with Computers categories.

This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiří Matoušek, who passed away prematurely in March 2015. It is a collaborative effort by his colleagues and friends, who have paid particular attention to clarity of exposition – something Jirka would have approved of. The original research articles, surveys and expository articles, written by leading experts in their respective fields, map Jiří Matoušek’s numerous areas of mathematical interest.

Tale Of Discrete Mathematics A A Journey Through Logic Reasoning Structures And Graph Theory

DOWNLOAD
Author : Joseph Khoury
language : en
Publisher: World Scientific
Release Date : 2024-03-19

Tale Of Discrete Mathematics A A Journey Through Logic Reasoning Structures And Graph Theory written by Joseph Khoury and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-19 with Mathematics categories.

Topics covered in Discrete Mathematics have become essential tools in many areas of studies in recent years. This is primarily due to the revolution in technology, communications, and cyber security. The book treats major themes in a typical introductory modern Discrete Mathematics course: Propositional and predicate logic, proof techniques, set theory (including Boolean algebra, functions and relations), introduction to number theory, combinatorics and graph theory.An accessible, precise, and comprehensive approach is adopted in the treatment of each topic. The ability of abstract thinking and the art of writing valid arguments are emphasized through detailed proof of (almost) every result. Developing the ability to think abstractly and roguishly is key in any areas of science, information technology and engineering. Every result presented in the book is followed by examples and applications to consolidate its comprehension. The hope is that the reader ends up developing both the abstract reasoning as well as acquiring practical skills.All efforts are made to write the book at a level accessible to first-year students and to present each topic in a way that facilitates self-directed learning. Each chapter starts with basic concepts of the subject at hand and progresses gradually to cover more ground on the subject. Chapters are divided into sections and subsections to facilitate readings. Each section ends with its own carefully chosen set of practice exercises to reenforce comprehension and to challenge and stimulate readers.As an introduction to Discrete Mathematics, the book is written with the smallest set of prerequisites possible. Familiarity with basic mathematical concepts (usually acquired in high school) is sufficient for most chapters. However, some mathematical maturity comes in handy to grasp some harder concepts presented in the book.

A Trek Beyond Complexity A Journey Through Discrete Math For Computing

DOWNLOAD
Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-10

A Trek Beyond Complexity A Journey Through Discrete Math For Computing written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-10 with Mathematics categories.

Embark on a transformative journey into the realm of discrete mathematics, where abstract concepts converge with practical applications, unveiling the foundations of computing and shaping the digital landscape. This comprehensive book invites you to explore the intricate world of sets, logic, functions, relations, and algorithms, providing a solid understanding of the fundamental principles that underpin the digital age. Delve into the depths of counting and probability, unraveling the secrets of quantifying uncertainty and exploring the vast expanse of possibilities. Discover the power of recursion and mathematical induction, uncovering a systematic approach to solving complex problems and proving mathematical statements with unwavering rigor. Navigate the intricate maze of algorithms and complexity, delving into the depths of algorithm design techniques, complexity classes, and approximation algorithms. Witness the elegance of trees and graph theory, unveiling the hidden structures that underpin networks, data structures, and a myriad of real-world phenomena. Unveil the mysteries of number theory and cryptography, where prime numbers hold the key to unlocking encrypted messages and the intricacies of modular arithmetic pave the way for secure communication. Explore the realm of formal specifications and Z-notation, discovering rigorous methods for capturing requirements and ensuring the correctness and reliability of software systems. Witness the inner workings of automata and formal languages, revealing the intricate dance of symbols and rules that govern the behavior of computers and communication systems. Engage in the art of logic and reasoning, empowering yourself with the tools to analyze arguments, draw conclusions, and navigate the complexities of human discourse. Finally, experience the transformative power of discrete mathematics in action, as you explore its diverse applications in computer science, engineering, business, life sciences, and social sciences. From optimizing algorithms to modeling biological systems, discrete mathematics proves to be an indispensable tool for understanding and shaping the world around us. With its blend of theoretical rigor and practical relevance, this book caters to students seeking to master the foundations of computer science and professionals seeking to expand their knowledge. Embark on this intellectual odyssey and discover the elegance and power of discrete mathematics, a discipline that continues to shape the modern world. If you like this book, write a review!

Journey Into Discrete Mathematics

DOWNLOAD
Author : Owen D. Byer
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-11-13

Journey Into Discrete Mathematics written by Owen D. Byer and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-13 with Mathematics categories.

Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines. The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective. Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.

Logic And Discrete Mathematics

DOWNLOAD
Author : Willem Conradie
language : en
Publisher: John Wiley & Sons
Release Date : 2015-05-08

Logic And Discrete Mathematics written by Willem Conradie and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-08 with Mathematics categories.

Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in this accompanying solutions manual.

Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes

DOWNLOAD
Author : Boyan Sirakov
language : en
Publisher: World Scientific
Release Date : 2019-02-27

Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Boyan Sirakov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-27 with Mathematics categories.

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Journey Into Mathematics

DOWNLOAD
Author : Joseph J. Rotman
language : en
Publisher: Courier Corporation
Release Date : 2013-01-18

Journey Into Mathematics written by Joseph J. Rotman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-18 with Mathematics categories.

This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.

Geometric Aspects Of Functional Analysis

DOWNLOAD
Author : Ronen Eldan
language : en
Publisher: Springer Nature
Release Date : 2023-09-29

Geometric Aspects Of Functional Analysis written by Ronen Eldan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Mathematics categories.

This book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local theory of Banach spaces is the study of probability measures in high dimension and the concentration of measure phenomenon. Here this phenomenon is approached from different angles, including through analysis on the Hamming cube, and via quantitative estimates in the Central Limit Theorem under thin-shell and related assumptions. Classical convexity theory plays a central role in this volume, as well as the study of geometric inequalities. These inequalities, which are somewhat in spirit of the Brunn-Minkowski inequality, in turn shed light on convexity and on the geometry of Euclidean space. Probability measures with convexity or curvature properties, such as log-concave distributions, occupy an equally central role and arise in the study of Gaussian measures and non-trivial properties of the heat flow in Euclidean spaces. Also discussed are interactions of this circle of ideas with linear programming and sampling algorithms, including the solution of a question in online learning algorithms using a classical convexity construction from the 19th century.

Combinatorial Algorithms

DOWNLOAD
Author : Cristina Bazgan
language : en
Publisher: Springer Nature
Release Date : 2022-05-29

Combinatorial Algorithms written by Cristina Bazgan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-29 with Computers categories.

This book constitutes the refereed proceedings of the 33rd International Workshop on Combinatorial Algorithms, IWOCA 2022, which took place as a hybrid event in Trier, Germany, during June 7-9, 2022.The 35 papers presented in these proceedings were carefully reviewed and selected from 86 submissions. They deal with diverse topics related to combinatorial algorithms, such as algorithms and data structures; algorithmic and combinatorical aspects of cryptography and information security; algorithmic game theory and complexity of games; approximation algorithms; complexity theory; combinatorics and graph theory; combinatorial generation, enumeration and counting; combinatorial optimization; combinatorics of words; computational biology; computational geometry; decompositions and combinatorial designs; distributed and network algorithms; experimental combinatorics; fine-grained complexity; graph algorithms and modelling with graphs; graph drawing and graph labelling; network theory and temporal graphs; quantum computing and algorithms for quantum computers; online algorithms; parameterized and exact algorithms; probabilistic andrandomized algorithms; and streaming algorithms.

Computer Science Theory And Applications

DOWNLOAD
Author : Fedor V. Fomin
language : en
Publisher: Springer
Release Date : 2018-05-24

Computer Science Theory And Applications written by Fedor V. Fomin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-24 with Computers categories.

This book constitutes the proceedings of the 13th International Computer Science Symposium in Russia, CSR 2018, held in Moscow, Russia, in May 2018. The 24 full papers presented together with 7 invited lectures were carefully reviewed and selected from 42 submissions. The papers cover a wide range of topics such as algorithms and data structures; combinatorial optimization; constraint solving; computational complexity; cryptography; combinatorics in computer science; formal languages and automata; algorithms for concurrent and distributed systems; networks; and proof theory and applications of logic to computer science.