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Description
Statistical Independence in Probability, Analysis and Number TheoryThis concise monograph in probability by Mark Kac, a well known mathematician, presumes a familiarity with Lebesgue's theory of measure and integration, the elementary theory of Fourier integrals, and the rudiments of number theory. Readers may then follow Dr. Kac's attempt "to rescue statistical independence from the fate of abstract oblivion by showing how in its simplest form it arises in various contexts cutting across different mathematical
This concise monograph in probability by Mark Kac, a well-known mathematician, presumes a familiarity with Lebesgue's theory of measure and integration, the elementary theory of Fourier integrals, and the rudiments of number theory. Readers may then follow Dr. Kac's attempt "to rescue statistical independence from the fate of abstract oblivion by showing how in its simplest form it arises in various contexts cutting across different mathematical disciplines."The treatment begins with an examination of a formula of Vieta that extends to the notion of statistical independence. Subsequent chapters explore laws of large numbers and mile Borel's concept of normal numbers; the normal law, as expressed by Abraham de Moivre and Andrey Markov's method; and number theoretic functions as well as the normal law in number theory. The final chapter ranges in scope from kinetic theory to continued fractions. All five chapters are enhanced by problems.
Binding Type: Paperback
Publisher: Dover Publications
Published: 08/15/2018
ISBN: 9780486821580
Pages: 112
Weight: 0.26lbs
Size: 8.00h x 5.00w x 0.30d
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4.6 ★★★★★
Based on 17 reviews
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Product Reviews
★★★★★ 4
Fine so far.
Format: Paperback
I am looking for some of the code from exercises, but can't find it in the project files, and they say don't copy it from the ebook...?
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Reviewed in the United States on November 17, 2024
★★★★★ 5
Very comprehensive and approachable
Format: Kindle
This e-book covers everything starting from basic general programming concepts and Godot development, going into (relatively) advanced game development programming patterns that are used throughout the industry. It explains not only what the best practices are but why they are used in a simple and understandable way, and provides points of reflection and knowledge testing with quiz sections.
I highly recommend this book for anyone wanting to learn game development as a hobby, anyone interested in learning Godot, and even for anyone trying to learn game programming in general and wanted a simple place to start.
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Reviewed in the United States on June 11, 2024
★★★★★ 2
Not a Scripting Book. Wrong title, should read " Learn Godot for Beginners"
Format: Paperback
The book was not designed to focus on GDscript, it had a snippets for basic game interactions, but was primarily a make a simple game in Godot. I returned it.
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Reviewed in the United States on June 13, 2025
★★★★★ 5
Excellent guide for those seeking to learn.
Format: Paperback
I highly recommend this book if you are getting into Godot and want something tangible to sift through. the Book does an excellent job of explaining and curating a good foundation by explaining and stepping you through the Nodes and their purposes and potential usage. it touches on multiplayer(client synchronization, etc), and other fantastic aspects like object pools and a brief intro into state machines that reflect a professional environment that respects your intelligence but still graceful enough for beginners to digest, understand and grow their own creative projects from these roots.
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Reviewed in the United States on June 10, 2024
★★★★★ 5
Masterful, Hilarious, and Insightful
Format: Hardcover
The writing style reminded me at times of Michael Lewis ("The Big Short", "The New New Thing") in the way Jason Schreier captures the madness of gaming executives trying to succeed despite their bosses.
The way the book describes various antics often had me chuckling or even laughing out loud:
"As Pardo's responsibilities grew and his time became stretched between projects, he became known for what many of his subordinates called seagull management: He would swoop down, poop on ideas, and then fly away."
It's full of insight about what makes a good game, or even a good remake of a game:
"One tenet, adapted from legendary Civilization designer Sid Meier, was that one-third of the units should return from the old game, one-third should be modified versions, and one-third should be brand-new."
This book is masterful. I found it impossible to put down: one of the very best books I've ever read about a games company, or any company for that matter.
If you are in the games industry, you like reading about crazy businesses or you just like games, get it.
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Reviewed in the United States on April 19, 2026
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