An Introduction to the Analysis of Algorithms

An Introduction to the Analysis of Algorithms

Author: Michael Soltys

Publisher: World Scientific

Published: 2012

Total Pages: 211

ISBN-13: 9814401161

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A successor to the first edition, this updated and revised book is a great companion guide for students and engineers alike, specifically software engineers who design reliable code. While succinct, this edition is mathematically rigorous, covering the foundations of both computer scientists and mathematicians with interest in algorithms.Besides covering the traditional algorithms of Computer Science such as Greedy, Dynamic Programming and Divide & Conquer, this edition goes further by exploring two classes of algorithms that are often overlooked: Randomised and Online algorithms OCo with emphasis placed on the algorithm itself.The coverage of both fields are timely as the ubiquity of Randomised algorithms are expressed through the emergence of cryptography while Online algorithms are essential in numerous fields as diverse as operating systems and stock market predictions.While being relatively short to ensure the essentiality of content, a strong focus has been placed on self-containment, introducing the idea of pre/post-conditions and loop invariants to readers of all backgrounds. Containing programming exercises in Python, solutions will also be placed on the book''s website.


Introduction To The Analysis Of Algorithms, An (3rd Edition)

Introduction To The Analysis Of Algorithms, An (3rd Edition)

Author: Michael Soltys-kulinicz

Publisher: World Scientific

Published: 2018-01-31

Total Pages: 329

ISBN-13: 9813235926

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A successor to the first and second editions, this updated and revised book is a leading companion guide for students and engineers alike, specifically software engineers who design algorithms. While succinct, this edition is mathematically rigorous, covering the foundations for both computer scientists and mathematicians with interest in the algorithmic foundations of Computer Science.Besides expositions on traditional algorithms such as Greedy, Dynamic Programming and Divide & Conquer, the book explores two classes of algorithms that are often overlooked in introductory textbooks: Randomised and Online algorithms — with emphasis placed on the algorithm itself. The book also covers algorithms in Linear Algebra, and the foundations of Computation.The coverage of Randomized and Online algorithms is timely: the former have become ubiquitous due to the emergence of cryptography, while the latter are essential in numerous fields as diverse as operating systems and stock market predictions.While being relatively short to ensure the essentiality of content, a strong focus has been placed on self-containment, introducing the idea of pre/post-conditions and loop invariants to readers of all backgrounds, as well as all the necessary mathematical foundations. The programming exercises in Python will be available on the web (see www.msoltys.com/book for the companion web site).


Putnam and Beyond

Putnam and Beyond

Author: Răzvan Gelca

Publisher: Springer

Published: 2017-09-19

Total Pages: 857

ISBN-13: 3319589881

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This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.


Works

Works

Author: Sir Max Beerbohm

Publisher:

Published: 1924

Total Pages: 508

ISBN-13:

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Competitive Physics: Mechanics And Waves

Competitive Physics: Mechanics And Waves

Author: Jinhui Wang

Publisher: World Scientific

Published: 2018-08-10

Total Pages: 831

ISBN-13: 9813233966

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Written by a former Olympiad student, Wang Jinhui, and a Physics Olympiad national trainer, Bernard Ricardo, Competitive Physics delves into the art of solving challenging physics puzzles. This book not only expounds a multitude of physics topics from the basics but also illustrates how these theories can be applied to problems, often in an elegant fashion. With worked examples that depict various problem-solving sleights of hand and interesting exercises to enhance the mastery of such techniques, readers will hopefully be able to develop their own insights and be better prepared for physics competitions. Ultimately, problem-solving is a craft that requires much intuition. Yet, this intuition can only be honed by mentally trudging through an arduous but fulfilling journey of enigmas.Mechanics and Waves is the first of a two-part series which will discuss general problem-solving methods, such as exploiting the symmetries of a system, to set a firm foundation for other topics.


Bribery and Corruption

Bribery and Corruption

Author: Michael J. Comer

Publisher: Routledge

Published: 2016-04-15

Total Pages: 911

ISBN-13: 1317172604

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Politicians and regulators do not run businesses. Bribery and Corruption is for managers who do. It will help you transform uncertainties and problems created via legislation and regulations (such as The UK Bribery Act, The Proceeds of Crime Act, The Foreign Corrupt Practices Act, Sarbanes-Oxley) into opportunities to: ¢ Maintain entrepreneurial, profitable, and enjoyable working environments while easily surpassing compliance standards ¢ Control incoming, internal, outgoing, competitive corruption and fraud ¢ Take decisions in grey areas, confidently Bribery and Corruption frames control and compliance in an entirely different way: not as a brake on your company’s forward motion but as essential protective equipment enabling you to go faster and further in safety. Written by the world’s leading practitioners in the fields of fraud prevention, detection and investigation with massive practical experience in both commercial and governmental sectors, Bribery and Corruption exposes the misconceptions, myths and corruption of the word bribery and suggests effective solutions that go well beyond simple compliance. It commits to assertive managerial rather than timorous legal solutions to anti-bribery and other laws. It explains how processes can be tested - using automated fraud detection software - to expose current cases of fraud and corruption or to provide assurance that controls are functioning optimally. It tackles the usually ignored problems of stratospheric, political, academic and media corruption, which often motivate commercial bribery. It exposes the dangers of employee to employee corruption; skulduggery by blue collar workers and lots more. Over the last 25 years, Mike Comer, occasionally writing with Tim Stephens, has been responsible for some of the most readable and influential books on fraud. Bribery and Corruption is another tour de force, complete, authoritative and yet a great pleasure to read.