A Comprehensive Treatment of q-Calculus
A Comprehensive Treatment of q-Calculus

Author: Thomas Ernst

Publisher: Springer Science & Business Media

Published: 2012-09-13

Total Pages: 491

ISBN-13: 3034804318

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To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.​

The Mechanics Calculator: Comprehending Principles, Rules, and Tables in the Various Departments of Mathematics and Mechanics: Useful to Millwri
The Mechanics Calculator: Comprehending Principles, Rules, and Tables in the Various Departments of Mathematics and Mechanics: Useful to Millwri

Author: William Grier

Publisher: Palala Press

Published: 2018-02-14

Total Pages: 318

ISBN-13: 9781377438870

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Winslow's Comprehensive Mathematics
Winslow's Comprehensive Mathematics

Author: E. S. Winslow

Publisher: BoD – Books on Demand

Published: 2023-05-09

Total Pages: 486

ISBN-13: 3382198452

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Reprint of the original, first published in 1872. The publishing house Anatiposi publishes historical books as reprints. Due to their age, these books may have missing pages or inferior quality. Our aim is to preserve these books and make them available to the public so that they do not get lost.

AP Statistics Premium, 2025: Prep Book with 9 Practice Tests + Comprehensive Review + Online Practice
AP Statistics Premium, 2025: Prep Book with 9 Practice Tests + Comprehensive Review + Online Practice

Author: Martin Sternstein

Publisher: Simon and Schuster

Published: 2024-07-02

Total Pages: 561

ISBN-13: 150629197X

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Be prepared for exam day with Barron’s. Trusted content from AP experts! Barron’s AP Statistics Premium, 2025 includes in‑depth content review and online practice. It’s the only book you’ll need to be prepared for exam day. Written by Experienced Educators Learn from Barron’s‑‑all content is written and reviewed by AP experts Build your understanding with comprehensive review tailored to the most recent exam Get a leg up with tips, strategies, and study advice for exam day‑‑it’s like having a trusted tutor by your side Be Confident on Exam Day Sharpen your test‑taking skills with 9 full‑length practice tests‑‑6 in the book, including a diagnostic test to target your studying, and 3 more online–plus detailed answer explanations for all questions Strengthen your knowledge with in‑depth review, including hundreds of examples and worked out solutions, covering all Units on the AP Statistics Exam Reinforce your learning with 29 quizzes throughout the book that feature hundreds of multiple-choice and free-response practice questions Boost your confidence by reviewing key reminders and pitfalls to avoid on test day, advice on selecting the appropriate inference procedure, guidance on calculator usage, and much more Online Practice Continue your practice with 3 full‑length practice tests on Barron’s Online Learning Hub Simulate the exam experience with a timed test option Deepen your understanding with detailed answer explanations and expert advice Gain confidence with scoring to check your learning progress