Download or read book An Experimental Introduction to Number Theory written by Benjamin Hutz and published by American Mathematical Soc.. This book was released on 2018-04-17 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test precise conjectures from experimental data. Each topic is motivated by a question to be answered, followed by some experimental data, and, finally, the statement and proof of a theorem. There are numerous opportunities throughout the chapters and exercises for the students to engage in (guided) open-ended exploration. At the end of a course using this book, the students will understand how mathematics is developed from asking questions to gathering data to formulating and proving theorems. The mathematical prerequisites for this book are few. Early chapters contain topics such as integer divisibility, modular arithmetic, and applications to cryptography, while later chapters contain more specialized topics, such as Diophantine approximation, number theory of dynamical systems, and number theory with polynomials. Students of all levels will be drawn in by the patterns and relationships of number theory uncovered through data driven exploration.

Download or read book Numbers and Functions written by Victor H. Moll and published by American Mathematical Soc.. This book was released on 2012 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: New mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary functions, such as those encountered in calculus courses, from this point of view of experimental mathematics. The focus is on exploring the connections between these functions and topics in number theory and combinatorics. There is also an emphasis throughout the book on how current mathematical software can be used to discover and interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture of mathematics. By delving into a variety of them, the reader will develop this broad view. The large collection of problems is an essential part of the book. The problems vary from routine verifications of facts used in the text to the exploration of open questions. Book jacket.

Download or read book The G O D Experiments written by Gary E. Schwartz and published by Simon and Schuster. This book was released on 2007-05-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can science lead to God? Esteemed scientist and theoretician Dr. Gary Schwartz tackles this question as he takes readers on a journey of discovery to the miraculous place where science and spirituality meet. Illustrations throughout.

Download or read book Hello Numbers What Can You Do written by Edmund Harriss and published by The Experiment. This book was released on 2020-11-24 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning meets wonder when you invite numbers to come play in your imagination! First think of One peeking out from the night Like a point, or a dot, or a shimmering light. But when One finds a friend to run from or run to, Then we can’t call both “One”—that new One must be Two! And should you want something to go in between, You’ll need a new number, a number like Three. Four makes a square when it’s standing around, But what would you see if it flies off the ground? And then when another new One comes to mind, Yell out its name if you know it . . . it’s Five! Do you like the way that these numbers are sounding? Then join our adventure to count beyond counting! Hello Numbers! What Can You Do? is not like any other counting book. As each “new One” appears on the scene, the numbers’ antics hint at ever-deeper math. Young readers ages 3 to 6 will not only count along, but begin to wonder about symmetry, angles, shapes, and more. Written by the mathematician-and-poet team Edmund Harriss and Houston Hughes, and illustrated by longstanding New York Times artist Brian Rea, this rollicking, rhyming book will take you to a whole new world of numbers.

Download or read book Social Experiments written by Larry L. Orr and published by SAGE. This book was released on 1999 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended to provide a basic understanding not only of how to design and implement social experiments, but also of how to interpret their results once they are completed, author Larry L. Orr's Social Experiments is written in a friendly, how-to manner. Through the use of illustrative examples, how-to exhibits and cases, and boldface key words, Orr provides readers with a grounding in the experimental method, including the rational and ethical issues of random assignment; designs that best address alternative policy questions; maximizing the precision of the estimates; implementing the experiment in the field; data collection; estimating and interpreting program impacts, costs, and benefits; dealing with potential biases; and the use and misuse of experimental results in the policy process. This book will be useful not only to those who plan to conduct experiments, but also to the much larger group who will, at one time or another, want to understand the results of experimental evaluations.

Download or read book Design of Experiments for Pharmaceutical Product Development written by Sarwar Beg and published by Springer Nature. This book was released on 2021-01-22 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book volume provides complete and updated information on the applications of Design of Experiments (DoE) and related multivariate techniques at various stages of pharmaceutical product development. It discusses the applications of experimental designs that shall include oral, topical, transdermal, injectables preparations, and beyond for nanopharmaceutical product development, leading to dedicated case studies on various pharmaceutical experiments through illustrations, art-works, tables and figures. This book is a valuable guide for all academic and industrial researchers, pharmaceutical and biomedical scientists, undergraduate and postgraduate research scholars, pharmacists, biostatisticians, biotechnologists, formulations and process engineers, regulatory affairs and quality assurance personnel.

Download or read book Experimental Number Theory written by Fernando Rodriguez Villegas and published by Oxford University Press, USA. This book was released on 2007-05-24 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions.

Download or read book Algorithmic and Experimental Methods in Algebra Geometry and Number Theory written by Gebhard Böckle and published by Springer. This book was released on 2018-03-22 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was to substantially advance algorithmic and experimental methods in the aforementioned disciplines, to combine the different methods where necessary, and to apply them to central questions in theory and practice. Of particular concern was the further development of freely available open source computer algebra systems and their interaction in order to create powerful new computational tools that transcend the boundaries of the individual disciplines involved. The book covers a broad range of topics addressing the design and theoretical foundations, implementation and the successful application of algebraic algorithms in order to solve mathematical research problems. It offers a valuable resource for all researchers, from graduate students through established experts, who are interested in the computational aspects of algebra, geometry, and/or number theory.

Download or read book Lowell Hydraulic Experiments written by James Bicheno Francis and published by . This book was released on 1868 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Annual Report written by Ontario. Dept. of Agriculture and Food and published by . This book was released on 1896 with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Elements of Chemistry written by William Allen Miller and published by BoD – Books on Demand. This book was released on 2022-11-09 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1871.

Download or read book Preliminary Tank Experiments written by D. E. Merrill and published by . This book was released on 1913 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computational and Experimental Fluid Mechanics with Applications to Physics Engineering and the Environment written by Leonardo Di G. Sigalotti and published by Springer Science & Business Media. This book was released on 2014-01-11 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a collection of selected papers from the I Workshop of the Venezuelan Society of Fluid Mechanics held on Margarita Island, Venezuela from November 4 to 9, 2012. Written by experts in their respective fields, the contributions are organized into five parts: - Part I Invited Lectures, consisting of full-length technical papers on both computational and experimental fluid mechanics covering a wide range of topics from drops to multiphase and granular flows to astrophysical flows, - Part II Drops, Particles and Waves - Part III Multiphase and Multicomponent Flows - Part IV Atmospheric and Granular Flows - and Part V Turbulent and Astrophysical Flows. The book is intended for upper-level undergraduate and graduate students as well as for physicists, chemists and engineers teaching and working in the field of fluid mechanics and its applications. The contributions are the result of recent advances in theoretical and experimental research in fluid mechanics, encompassing both fundamentals as well as applications to fluid engineering design, including pipelines, turbines, flow separators, hydraulic systems and biological fluid elements, and to granular, environmental and astrophysical flows.

Download or read book IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow written by Alexander J. Smits and published by Springer Science & Business Media. This book was released on 2003-12-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents selected papers from the IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow, convened in Princeton, NJ, USA, September I1-13, 2002. The behavior ofturbulence at high Reynolds number is interesting from a fundamental point of view, in that most theories of turbulence make very specific predictions in the limit of infinite Reynolds number. From a more practical point of view, there exist many applications that involve turbulent flow where the Reynolds numbers are extremely large. For example, large vehicles such as submarines and commercial transports operate at Reynolds 9 numbers based on length ofthe order oft0 , and industrial pipe flows cover a 7 very wide range of Reynolds numbers up to 10 • Many very important applications of high Reynolds number flow pertain to atmospheric and other geophysical flows where extremely high Reynolds numbers are the rule rather than the exception, and the understanding of climate changes and the prediction of destructive weather effects hinges to some extent on our appreciation ofhigh-Reynolds number turbulence behavior. The important effects of Reynolds number on turbulence has received a great deal of recent attention. The objective of the Symposium was to bring together many of the world's experts in this area to appraise the new experimental results, discuss new scaling laws and turbulence models, and to enhance our mutual understanding of turbulence.

Download or read book Experimental Investigation of a Hypersonic Glider Configuration at a Mach Number of 6 and at Full scale Reynolds Numbers written by Alvin Seiff and published by . This book was released on 1961 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Variability of the Duration of Life of Living Creatures written by E. Timmer and published by IOS Press. This book was released on 2000 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: So, What's Your Story? You know you've got one! And Mixed Media Storytelling Workbook: Art Journaling Inspiration, Words and Prompts is here to help you tell it and turn it into a personal and meaningful work of art. No matter where you are in your journey, this art journaling workbook is the perfect companion. With twenty techniques, projects and words of wisdom from some of our best-selling authors, it is easier than ever to find the inspiration you need. Plus, you'll have plenty of space for adding photos, collages and more in the 75+ lightly textured pages here, in your book. So what are you waiting for? Document your story for yourself, or the world! Inside this Workbook: Dozens of tips, prompts and techniques to help you create your story. Advice and encouragement from eight of our favorite authors. More than eighty pages for you to tell your tale in the most artful way possible--your way! Contributors include: Traci Bautista, author of Collage Unleashed and Doodles Unleashed. Randi Feuerhelm-Watts, author of Wide Open. The Journal Fodder Junkies (Eric M. Scott and David R. Modler), authors of Journal Fodder 365 and The Journal Junkies Workshop. Liz Lamoreux, author of Inner Excavation. Quinn McDonald, author of Raw Art Journaling. Diana Trout, author of Journal Spilling. Violette, author of Journal Bliss. We all have a story to tell. Isn't it time you told yours?