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 Free Download Number Theory Through the Eyes of Sophie Germain by Pengelley, David; English | 2023 | ISBN: 1470472201 | 216 pages | True PDF | 22.01 MB Number Theory Through the Eyes of Sophie Germain: An Inquiry Course is an innovative textbook for an introductory number theory course. Sophie Germain (1776-1831) was largely self-taught in mathematics and, two centuries ago, in solitude, devised and implemented a plan to prove Fermat's Last Theorem. We have only recently completely understood this work from her unpublished letters and manuscripts. David Pengelley has been a driving force in unraveling this mystery and here he masterfully guides his readers along a path of discovery. Germain, because of her circumstances as the first woman to do important original mathematical research, was forced to learn most of what we now include in an undergraduate number theory course for herself. Pengelley has taken excerpts of her writings (and those of others) and, by asking his readers to decipher them, skillfully leads us through an inquiry-based course in elementary number theory. It is a detective story on multiple levels. What is Sophie Germain thinking? What do her mathematical writings mean? How do we understand what she knew and what she was trying to do, where she succeeded and where she didn't? Number Theory Through the Eyes of Sophie Germainis simultaneously a masterpiece of historical scholarship, a guide to reading and teaching from primary-source historical documents, an inquiry-based textbook for introductory number theory, and the riveting story of a major, but still unappreciated, mathematician. Work is required of the reader. Readers are carefully guided to discover and prove almost all results for themselves in a sequence of scaffolded exploratory tasks with hints, fully integrated with the narrative. The difficulty of the inquiry tasks varies considerably, but the author provides the reader with appropriately helpful guidance at every step. An introductory number theory course taught with this text would be a remarkable, potentially life-changing, experience. ―Stephen Kennedy, Carleton College and MAA Press  Free Download Number Categories by Deborah Arbes English | 2023 | ISBN: 3110997878 | 192 pages | True PDF EPUB | 7.04 MB The book examines the category Number from a variety of linguistic perspectives. Typological aspects of co-plurals and singulatives are introduced and number marking is analysed for three individual Kamas (Samoyedic), Welsh (Celtic) and Wagi (Beria, Saharan). For each language, the focus lies on a different aspect of number In the Wagi dialect of Beria, different tonal patterns are discovered. The extinct Kamas language is analysed in terms of language contact with Russian. Number categories can also serve as a measure of loanword integration, as the study about spoken Welsh shows. The combination of articles in this volume illustrates the potential of number marking and offers insights that contribute our understanding of how grammatical number is applied and categorised in languages.  Free Download Nucleo Boards Programming with the STM32CubeIDE by Ibrahim, Dogan; English | 2021 | ISBN: 3895764167 | 498 pages | True PDF | 13.63 MB STM32 Nucleo family of processors are manufactured by STMicroelectronics. These are low-cost ARM microcontroller development boards. This book is about developing projects using the popular STM32CubeIDE software with the Nucleo-L476RG development board. In the early Chapters of the book the architecture of the Nucleo family is briefly described. 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Cowan English | 2023 | ISBN: 1639362703 | 432 pages | True EPUB | 62.36 MB In the tradition of Arthur Herman'sHow the Scots Invented the Modern Worldcomes a narrative that charts the remarkable-yet often overlooked or misidentified-Scottish contribution to Arctic exploration  Free Download Northeast Home Landscaping, 4th Edition by Clausen, Ruth Rogers;Editors of Creative Homeowner; English | 2023 | ISBN: 158011587X | 224 pages | True EPUB | 155.48 MB Discover inspiring ideas to make your Northeast home landscape more attractive and functional! This complete guide is an updated, expanded edition of Creative Homeowner's award-winning book in the regional home landscaping series that shows you how to enhance your northeast landscape. Inside, homeowners will find an inspiring collection of designs to beautify 27 common landscape situations-each with a variation for a total of 54 designs-including front and back entries, walkways, borders, slopes, and patios. 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This book was prepared to familiarize students with nonlinear waves and methods of solving NLPDEs, which will enable them to expand their studies into related areas. The selection of topics and the focus given to each provide essential materials for a lecturer teaching a nonlinear wave course. Chapter 1 introduces "mode" types in nonlinear systems as well as Bäcklund transform, an indispensable technique to solve generic NLPDEs for stationary solutions. Chapters 2 and 3 are devoted to the derivation and solution characterization of three generic nonlinear equations: nonlinear Schrödinger equation, Korteweg-de Vries (KdV) equation, and Burgers equation. Chapter 4 is devoted to the inverse scattering transform (IST), addressing the initial value problems of a group of NLPDEs. In Chapter 5, derivations and proofs of the IST formulas are presented. Steps for applying IST to solve NLPDEs for solitary solutions are illustrated in Chapter 6.  Free Download Nonlinear Systems : Stability, Dynamics and Control (233 Pages) by Guanrong Chen English | 2023 | ISBN: 9811278989 | 234 pages | True PDF | 6.62 MB The topic of nonlinear systems is fundamental to the study of systems engineering. So extensive investigations have been carried out by both the nonlinear control and nonlinear dynamics communities, but the focus can be different - on controllers design and dynamics analysis, respectively. The last two decades have witnessed the gradual merging of control theory and dynamics analysis, but not yet to the extent of controlling nonlinear dynamics such as bifurcations and chaos. This monograph is an attempt to fill that gap while presenting a rather comprehensive coverage of the fundamental nonlinear systems theory in a self-contained and approachable manner. This introductory treatise is written for self-study and, in particular, as an elementary textbook that can be taught in a one-semester course to advanced undergraduates or entrance level graduates with curricula focusing on nonlinear systems, both on control theory and dynamics analysis. |
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