Probability measure theory (298 Ergebnisse)

Hardcover. Zustand: Good. No Jacket. Missing dust jacket; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.

hardcover. Zustand: Good.

Zustand: Acceptable. Readable, but has significant damage / tears. Has a remainder mark. hardcover Used - Acceptable.

Zustand: New.

Zustand: New. 2nd Edition.

Paperback. Zustand: new. Paperback. The evolution of Artificial Intelligence in the 21st century has moved far beyond heuristic techniques and surface-level statistical approximations. Modern AI-whether it is Deep Learning, Reinforcement Learning, Bayesian Modeling, Diffusion Models, or Large Language Models-depends on deep mathematical principles rooted in measure theory and probability theory. Without understanding the foundational mathematics, practitioners often treat AI models as black boxes, missing the underlying structure that governs learning, generalization, uncertainty, and convergence.This book, Measure Theory and Probability for Artificial Intelligence, written by Anshuman Mishra, is designed to fill this crucial gap. It presents an authoritative, rigorous, yet deeply intuitive exploration of the mathematical foundations that support every modern AI system. This is not just a textbook. It is a complete journey into the mathematical soul of machine intelligence-crafted for ambitious students, dedicated researchers, and serious AI professionals who want to elevate their understanding to the highest level.Where most machine learning books begin directly with algorithms, this book starts from first principles-from sets, sigma-algebras, measurable functions, measures, integrals, probability spaces, convergence modes, inequalities, stochastic processes, and advanced probabilistic tools-then meticulously climbs up to how each of these mathematical structures is used in neural networks, reinforcement learning, generative models, stochastic gradient descent, Bayesian inference, and optimal transport.This makes the book unparalleled in scope and depth. Whether you are an AI engineer trying to understand "why" deep learning works, a PhD researcher developing new models, or a student preparing for advanced coursework, this book offers you the mathematical clarity and conceptual strength required to advance confidently into the technical frontier of artificial intelligence. Why This Book?1. AI is No Longer Only Engineering-It is Mathematical ScienceMachine learning and deep learning operate in high-dimensional spaces, mapping complex random variables through nonlinear transformations. Reinforcement learning optimizes over stochastic returns. Diffusion models rely on stochastic differential equations. Generative models measure the divergence between probability distributions. Neural networks approximate integrals, gradients, and transformations of measures. All of this requires a deep understanding of: Measure theoryProbability theoryInformation theoryStochastic processesMartingale convergenceOptimal transportHigh-dimensional concentrationWithout these tools, AI becomes guesswork.2. Artificial Intelligence Requires RigorThis book is intentionally designed to build mathematical intuition and formal rigor. Every concept is introduced from first principles, but always connected to real AI applications. This dual approach makes the book ideal for: Undergraduate and postgraduate studentsPhD scholarsMachine learning engineersReinforcement learning researchersData scientistsAI hobbyists with a strong mathematical interestFaculty members designing academic courses3. Written in an Accessible, Progressive StyleThe book does not assume a background in measure theory. Instead, it builds the theory step-by-step, starting from sets and functions, gradually rising through: s-algebrasMeasuresIntegrationConvergenceProbability triplesRandom variablesDistribution transformationsExpectation and conditional expecta Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Zustand: Fine. First edition, first printing, 203 pp., Hardcover, fine in a worn dust jacket. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.…

Hardcover. Zustand: Fair. NO dust jacket. X_Library copy with light wear. I found no text marks. First printing number line.

Paperback. Zustand: Very Good. Exercises in Probability: A Guided Tour From Measure Theory To Random Processes, Via Conditioning: 35 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 35) This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. …

Hardcover. Zustand: Good. Zustand des Schutzumschlags: Fair. 1st Edition. First Printing with full number line 1-10. Prior owner's name written on top corner of front flyleaf. Otherwise inside is clean and unmarked. Some wear and rippling at the top of some pages (see photo 4 for example). Light smudging on fore-edge of book block. Wear on corners of book boards. Dust jacket has yellowing. Dust jacket has tears and edges. Dust jacket has fading. See photos.…

Soft cover. Zustand: New. ISBN:9781944660802,292pp.

Hardcover. Zustand: GOOD. Good. 1950 (1966). D. Van Nostrand, Princeton, NJ. Hardcover. Markings, some pages heavy. Navy blue cloth covers & spine w/ gold stamped spine lettering & blind stamped front cover decoration. Cover clean & bright. Light wear to edges & corners; minor edge rubbing; light softening to spine ends & corner tips. Binding tight, solid & square. Red & green underlining & marginal notations to text on several pages. Name stamp & previous owner name inside endpages; from the personal collection of a professor of Engineering & Computer Science. No jacket. 304 pp. 6.5x9.25 in. (Octavo). Paul R. Halmos's graduate text in measure theory from The University Series in Higher Mathematics, treating outer measures, integration, probability & Haar measure. Ships from the USA, quickly & w/care. _____________________________________________________________________________________________________________________________ SYNOPSIS & HISTORY: Published by D. Van Nostrand Company in 1966 as part of The University Series in Higher Mathematics, Paul R. Halmos's Measure Theory is an influential mid-century graduate textbook in modern mathematical analysis. Originally issued in 1950, this Eleventh Printing sets out an axiomatic formulation of sets, outer measures, measurable functions, product spaces, and Haar measure, connecting real variable theory with probability and abstract topology. Bound in publisher's navy blue cloth with gold-stamped spine lettering and blind-stamped cover titling, the volume reflects the physical production standards of mid-century American academic publishing. The text incorporates structured problem sets across twelve chapters, guiding readers through advanced measure-theoretic applications in functional analysis and ergodic theory. Written by Hungarian-American mathematician Paul R. Halmos during his tenure at the University of Chicago, this work established standardized terminology across graduate mathematics programs, an analytical record of mid-twentieth-century mathematical pedagogy.…

Zustand: Good. Former library copy. Pages intact with minimal writing/highlighting. The binding may be loose and creased. Dust jackets/supplements are not included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.

paperback. Zustand: Very Good.

Paperback. Zustand: Used; Very Good. **SHIPPED FROM UK** We believe you will be completely satisfied with our quick and reliable service. All orders are dispatched as swiftly as possible! Buy with confidence! Greener Books.

Zustand: Good. Zustand des Schutzumschlags: Good. Good hardcover has some highlighting and underlining,tight binding,dust jacket has chips and tears. INV#H-19.

Zustand: Fair. Volume 13. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9780521825856.…

paperback. Zustand: Very Good.

paperback. Zustand: Good. Our good condition books are generally good for reading but not for gifting or collecting. They could have imperfections such as creasing, fanning, inscriptions, margin notes, yellowing, staining on edge or cover or pages, bumps, scuffs, etc etc (sometimes multiple of these). It's a wide category that encompasses anything that isn't almost-new down to anything that is slightly better than poor. We would NOT recommend gifting Good books - these should be considered reading copies. Our books are dispatched from a Yorkshire former cotton mill. We list via barcode/ISBN so please note that the images are stock images and may not be the exact copy you receive, furthermore the details about edition and year might not be accurate as many publishers reuse the same ISBN for multiple editions and as we simply scan a barcode or enter an ISBN we do not check the validity of the edition data when listing. If you're looking for an exact edition please don't order (at least not without checking with us first, although we don't always have time to check). We aim to dispatch prompty, the service used will depend on order value and book size. We can ship to most countries, see our shipping policies. Payment is via Abe only.…

Paperback. Zustand: Fair. The item might be beaten up but readable. May contain markings or highlighting, as well as stains, bent corners, or any other major defect, but the text is not obscured in any way.

Paperback. Zustand: Very Good. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Zustand: New.

Paperback or Softback. Zustand: New. Introduction to Probability Theory: A First Course on the Measure-Theoretic Approach. Book.

Paperback. Zustand: New. This book provides a first introduction to the methods of probability theory by using the modern and rigorous techniques of measure theory and functional analysis. It is geared for undergraduate students, mainly in mathematics and physics majors, but also for students from other subject areas such as economics, finance and engineering. It is an invaluable source, either for a parallel use to a related lecture or for its own purpose of learning it.The first part of the book gives a basic introduction to probability theory. It explains the notions of random events and random variables, probability measures, expectation values, distributions, characteristic functions, independence of random variables, as well as different types of convergence and limit theorems. The first part contains two chapters. The first chapter presents combinatorial aspects of probability theory, and the second chapter delves into the actual introduction to probability theory, which contains the modern probability language. The second part is devoted to some more sophisticated methods such as conditional expectations, martingales and Markov chains. These notions will be fairly accessible after reading the first part.…

Zustand: As New. Unread book in perfect condition.

Zustand: New. pp. 528.

Zustand: New.

Paperback. Zustand: Very Good. Shipped within 24 hours from our UK warehouse. Clean, undamaged book with no damage to pages and minimal wear to the cover. Spine still tight, in very good condition. Remember if you are not happy, you are covered by our 100% money back guarantee.