The Beauty Of Mathematics In Computer Science
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The Beauty Of Mathematics In Computer Science
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Author : Jun Wu
language : en
Publisher: CRC Press
Release Date : 2018-11-20
The Beauty Of Mathematics In Computer Science written by Jun Wu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-20 with Business & Economics categories.
The Beauty of Mathematics in Computer Science explains the mathematical fundamentals of information technology products and services we use every day, from Google Web Search to GPS Navigation, and from speech recognition to CDMA mobile services. The book was published in Chinese in 2011 and has sold more than 600,000 copies. Readers were surprised to find that many daily-used IT technologies were so tightly tied to mathematical principles. For example, the automatic classification of news articles uses the cosine law taught in high school. The book covers many topics related to computer applications and applied mathematics including: Natural language processing Speech recognition and machine translation Statistical language modeling Quantitive measurement of information Graph theory and web crawler Pagerank for web search Matrix operation and document classification Mathematical background of big data Neural networks and Google’s deep learning Jun Wu was a staff research scientist in Google who invented Google’s Chinese, Japanese, and Korean Web Search Algorithms and was responsible for many Google machine learning projects. He wrote official blogs introducing Google technologies behind its products in very simple languages for Chinese Internet users from 2006-2010. The blogs had more than 2 million followers. Wu received PhD in computer science from Johns Hopkins University and has been working on speech recognition and natural language processing for more than 20 years. He was one of the earliest engineers of Google, managed many products of the company, and was awarded 19 US patents during his 10-year tenure there. Wu became a full-time VC investor and co-founded Amino Capital in Palo Alto in 2014 and is the author of eight books.
Good Math
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Author : Mark C. Chu-Carroll
language : en
Publisher: Pragmatic Bookshelf
Release Date : 2013-07-18
Good Math written by Mark C. Chu-Carroll and has been published by Pragmatic Bookshelf this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Computers categories.
Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you. Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular "Good Math" blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird. Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing. If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you.
Learning To Code An Invitation To Computer Science Through The Art And Patterns Of Nature Lynx Edition
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Author : David D Thornburg
language : en
Publisher:
Release Date : 2021-11-14
Learning To Code An Invitation To Computer Science Through The Art And Patterns Of Nature Lynx Edition written by David D Thornburg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-14 with categories.
This is a book about discovery-the discoveries each of us can make when finding beauty in geometric patterns, beauty in mathematics, and beauty in computer programming. This is also a guide for teaching children to program computers in uniquely powerful ways. It is easy to see how one might find beauty in geometric patterns; this beauty forms the foundation of nature and art. We are continually entranced by geometric form-the symmetry of a butterfly's wings, the spiral of a snail's shell, the facets of a crystal-and each of these natural occurrences is perceived as having beauty associated with it. The hands of people have produced geometric art since marks were first made on cave walls or stones were first fashioned into tools. From the Pyramids and the Parthenon to the finest gold-link chain, the beauty of geometric form is clearly present for all who care to find it. Underlying the geometric pattern that we experience with our eyes lies a more subtle pattern of mathematical beauty, which is experienced intellectually-a collection of unifying principles that govern the arrangement and shapes of objects, both natural and crafted. Computer programming offers a bridge between the worlds of nature, design, and intellect. The computer today can be a tool for discovery and creative expression. It can be as malleable as a piece of clay and as powerful as the very ideas it helps to express. You do not have to be good at math or accept the passive ways computers are often used in classrooms. Thornburg's approach is eye-opening. The programming language used in this book is Lynx, a cloud-based implementation of Logo that can be used on any device with a web browser. A free trial version is available, while licenses for student and classroom use are quite affordable. Lynx was created by LCSI, developer of Logo learning environments for four decades. It is quite similar to MicroWorlds EX and a great next language for kids who have used Scratch. The Logo programming language was designed for learning and its various dialects have been used by millions of learners for more than half a century. With Logo, students experience powerful ideas, solve problems, and create while engaging in conversation with the computer. Although coding is often thought of in vocational terms, Logo programming lies squarely in the grand traditions of the liberal arts and progressive education. Lynx is easily one of the most powerful and user-friendly computer languages ever implemented on a personal computer. It has an extraordinarily powerful graphics environment (whose characteristics will be amply illustrated in this book); it can be used with very little formal instruction; and it can be extended by the user as desired. The power of Lynx must be experienced to be believed. Many people who are familiar with other languages embrace Lynx as being among the best computer languages they have seen. As you work with Lynx yourself, you may see why the enthusiasm for this language is so great.[Gs2]
Mathematics For Computer Science
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Author : Eric Lehman
language : en
Publisher:
Release Date : 2017-03-08
Mathematics For Computer Science written by Eric Lehman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-08 with Business & Economics categories.
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
Mathematical Aspects Of Computer Science
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Author : Jacob T. Schwartz
language : en
Publisher: American Mathematical Soc.
Release Date : 1967-12-31
Mathematical Aspects Of Computer Science written by Jacob T. Schwartz 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 1967-12-31 with categories.
The Mathematics Of Harmony
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Author :
language : en
Publisher:
Release Date :
The Mathematics Of Harmony written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Mathematics And Computer Science Volume 1
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Author : Sharmistha Ghosh
language : en
Publisher: John Wiley & Sons
Release Date : 2023-07-19
Mathematics And Computer Science Volume 1 written by Sharmistha Ghosh 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 2023-07-19 with Mathematics categories.
MATHEMATICS AND COMPUTER SCIENCE This first volume in a new multi-volume set gives readers the basic concepts and applications for diverse ideas and innovations in the field of computing together with its growing interactions with mathematics. This new edited volume from Wiley-Scrivener is the first of its kind to present scientific and technological innovations by leading academicians, eminent researchers, and experts around the world in the areas of mathematical sciences and computing. The chapters focus on recent advances in computer science, and mathematics, and where the two intersect to create value for end users through practical applications of the theory. The chapters herein cover scientific advancements across a diversified spectrum that includes differential as well as integral equations with applications, computational fluid dynamics, nanofluids, network theory and optimization, control theory, machine learning and artificial intelligence, big data analytics, Internet of Things, cryptography, fuzzy automata, statistics, and many more. Readers of this book will get access to diverse ideas and innovations in the field of computing together with its growing interactions in various fields of mathematics. Whether for the engineer, scientist, student, academic, or other industry professional, this is a must-have for any library.
Applications Of Continuous Mathematics To Computer Science
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Author : Hung T. Nguyen
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-10-31
Applications Of Continuous Mathematics To Computer Science written by Hung T. Nguyen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-10-31 with Mathematics categories.
This volume is intended to be used as a textbook for a special topic course in computer science. It addresses contemporary research topics of interest such as intelligent control, genetic algorithms, neural networks, optimization techniques, expert systems, fractals, and computer vision. The work incorporates many new research ideas, and focuses on the role of continuous mathematics. Audience: This book will be valuable to graduate students interested in theoretical computer topics, algorithms, expert systems, neural networks, and software engineering.
The Nature Of Computation
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Author : Cristopher Moore
language : en
Publisher: OUP Oxford
Release Date : 2011-08-12
The Nature Of Computation written by Cristopher Moore and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-12 with Science categories.
Computational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid and playful explanation of the P vs. NP problem, explaining why it is so fundamental, and so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing. At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduate and undergraduate students, scientists from other areas who have long wanted to understand this subject, and experts who want to fall in love with this field all over again.
A Brief Journey In Discrete Mathematics
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Author : Randolph Nelson
language : en
Publisher: Springer Nature
Release Date : 2020-02-11
A Brief Journey In Discrete Mathematics written by Randolph Nelson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-11 with Mathematics categories.
The goal of this book is to showcase the beauty of mathematics as revealed in nine topics of discrete mathematics. In each chapter, properties are explored through a series of straightforward questions that terminate with results that lie at the doorstep of a field of study. Each step along the way is elementary and requires only algebraic manipulation. This frames the wonder of mathematics and highlights the complex world that lies behind a series of simple, mathematical, deductions. Topics addressed include combinatorics, unifying properties of symmetric functions, the Golden ratio as it leads to k-bonacci numbers, non-intuitive and surprising results found in a simple coin tossing game, the playful, trick question aspect of modular systems, exploration of basic properties of prime numbers and derivations of bewildering results that arise from approximating irrational numbers as continued fraction expansions. The Appendix contains the basic tools of mathematics that are used in the text along with a numerous list of identities that are derived in the body of the book. The mathematics in the book is derived from first principles. On only one occasion does it rely on a result not derived within the text. Since the book does not require calculus or advanced techniques, it should be accessible to advanced high school students and undergraduates in math or computer science. Senior mathematicians might be unfamiliar with some of the topics addressed in its pages or find interest in the book's unified approach to discrete math.