The Master Theorem

Algorithmic puzzles are puzzles involving well-defined procedures for solving problems. This book will provide an enjoyable and accessible introduction to algorithmic puzzles that will develop the reader's algorithmic thinking. The first part of this book is a tutorial on algorithm design strategies and analysis techniques. Algorithm design strategies — exhaustive search, backtracking, divide-and-conquer and a few others — are general approaches to designing step-by-step instructions for solving problems. Analysis techniques are methods for investigating such procedures to answer questions about the ultimate result of the procedure or how many steps are executed before the procedure stops. The discussion is an elementary level, with puzzle examples, and requires neither programming nor mathematics beyond a secondary school level. Thus, the tutorial provides a gentle and entertaining introduction to main ideas in high-level algorithmic problem solving. The second and main part of the book contains 150 puzzles, from centuries-old classics to newcomers often asked during job interviews at computing, engineering, and financial companies. The puzzles are divided into three groups by their difficulty levels. The first fifty puzzles in the Easier Puzzles section require only middle school mathematics. The sixty puzzle of average difficulty and forty harder puzzles require just high school mathematics plus a few topics such as binary numbers and simple recurrences, which are reviewed in the tutorial. All the puzzles are provided with hints, detailed solutions, and brief comments. The comments deal with the puzzle origins and design or analysis techniques used in the solution. The book should be of interest to puzzle lovers, students and teachers of algorithm courses, and persons expecting to be given puzzles during job interviews.

An extensively revised edition of a mathematically rigorous yet accessible introduction to algorithms.

Recommended by Bill Gates A thought-provoking and wide-ranging exploration of machine learning and the race to build computer intelligences as flexible as our own In the world's top research labs and universities, the race is on to invent the ultimate learning algorithm: one capable of discovering any knowledge from data, and doing anything we want, before we even ask. In The Master Algorithm, Pedro Domingos lifts the veil to give us a peek inside the learning machines that power Google, Amazon, and your smartphone. He assembles a blueprint for the future universal learner--the Master Algorithm--and discusses what it will mean for business, science, and society. If data-ism is today's philosophy, this book is its bible.

Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

The final work from the brightest star in science fiction’s galaxy. Arthur C Clarke, who predicted the advent of communication satellites and author of 2001: A Space Odyssey completes a lifetime career in science fiction with a masterwork.

Harrow the Ninth, an Amazon pick for Best SFF of 2020 and the New York Times and USA Today bestselling sequel to Gideon the Ninth, turns a galaxy inside out as one necromancer struggles to survive the wreckage of herself aboard the Emperor's haunted space station. The Locked Tomb is a 2023 Hugo Award Finalist for Best Series! “Lesbian necromancers explore a haunted gothic palace in space! Decadent nobles vie to serve the deathless emperor! Skeletons!” —Charles Stross on Gideon the Ninth “Unlike anything I've ever read.” —V.E. Schwab on Gideon the Ninth “Deft, tense and atmospheric, compellingly immersive and wildly original.” —The New York Times on Gideon the Ninth She answered the Emperor's call. She arrived with her arts, her wits, and her only friend. In victory, her world has turned to ash. After rocking the cosmos with her deathly debut, Tamsyn Muir continues the story of the penumbral Ninth House in Harrow the Ninth, a mind-twisting puzzle box of mystery, murder, magic, and mayhem. Nothing is as it seems in the halls of the Emperor, and the fate of the galaxy rests on one woman's shoulders. Harrowhark Nonagesimus, last necromancer of the Ninth House, has been drafted by her Emperor to fight an unwinnable war. Side-by-side with a detested rival, Harrow must perfect her skills and become an angel of undeath — but her health is failing, her sword makes her nauseous, and even her mind is threatening to betray her. Sealed in the gothic gloom of the Emperor's Mithraeum with three unfriendly teachers, hunted by the mad ghost of a murdered planet, Harrow must confront two unwelcome questions: is somebody trying to kill her? And if they succeeded, would the universe be better off? THE LOCKED TOMB SERIES BOOK 1: Gideon the Ninth BOOK 2: Harrow the Ninth BOOK 3: Nona the Ninth BOOK 4: Alecto the Ninth At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

This book introduces the essential concepts of algorithm analysis required by core undergraduate and graduate computer science courses, in addition to providing a review of the fundamental mathematical notions necessary to understand these concepts. Features: includes numerous fully-worked examples and step-by-step proofs, assuming no strong mathematical background; describes the foundation of the analysis of algorithms theory in terms of the big-Oh, Omega, and Theta notations; examines recurrence relations; discusses the concepts of basic operation, traditional loop counting, and best case and worst case complexities; reviews various algorithms of a probabilistic nature, and uses elements of probability theory to compute the average complexity of algorithms such as Quicksort; introduces a variety of classical finite graph algorithms, together with an analysis of their complexity; provides an appendix on probability theory, reviewing the major definitions and theorems used in the book.

Journal 29 is a unique book game where you can solve riddles and puzzles and submit your answers online to get the keys and move forward.To solve the riddles, you need to think out of the box.You can write, draw, search, fold pages, combine different methods and try to get those riddles right.Journal 29 is a 148 pages book providing over 63 riddles you can solve.

Michael Goodrich and Roberto Tamassia, authors of the successful, Data Structures and Algorithms in Java, 2/e, have written Algorithm Engineering, a text designed to provide a comprehensive introduction to the design, implementation and analysis of computer algorithms and data structures from a modern perspective. This book offers theoretical analysis techniques as well as algorithmic design patterns and experimental methods for the engineering of algorithms. Market: Computer Scientists; Programmers.