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內容包含人文社會、文學小說、語言學習、財經商管、科學科普、電腦資訊、醫藥養生、藝術設計、休閒生活、考試證照各領域電子書，特別推薦語言學習有聲書。 |

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iRead eBooks 華藝電子書 airitiBooks 使用說明 內容包含商管財經、休閒旅遊、文學小說、語言學習，以及考試用書、教科書、學術專業圖書。 |

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收錄中、西文McGraw-Hill專業出版社之電子書，在建築、電機工程、商業企管、財經投資、醫學、社會與自然科學等出版領域享有盛名。 |

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Society for Industrial and Applied Mathematics (SIAM) 創立於1952年，致力於工業和數學應用發展的學術組織。其研究活動活躍於科學界、工程界及工業界，冀望提供數學家、工程師和科學家一個資訊與想法交流的媒介。 |

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CRCnetBase平台收錄超過8,000多本電子書、參考書及手冊，超過40多個科學科技主題套裝，內容同時包含理論和應用方面的資訊，所涵蓋的領域包含：機械工程、土木工程、環境工程、化學、材料科學、經濟學、商業管理、資訊技術植物學…等。 |

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World Scientific世界科技出版社為重要的科學主題出版社，許多出版的書籍為世界知名大學史丹佛、東大、劍橋、麻省理工等使用教科書，其作者編輯網羅諾貝爾獎得主與各領域知名專業學者。 |

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Woodhead 電子書 (Chandos Publishing Online ) Woodhead Publishing Online主要是設計為學術圖書館與研究機構所存取、收錄有超過1030本電子書及包含18000章節的電子資源，引以為傲的是所合作寫稿發表的有超過10000位世界級編輯與著者。 |

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IOS Press為成立於1990年的STM國際出版社，每年大約出版 125種新書及 85 種期刊(近 30 種為 core journals)。主題有Assistive Technology Research、Artificial Intelligence、Administrative Sciencess等。 |

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Taylor & Francis目前已數位化20000本以上的電子書，選自旗下Taylor & Francis、Routledge、Psychology Press、CRC Press等多家出版社的學術專業參考書，領域涵蓋人文、社會科學、行為科學、STM、法律等類。 |

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Cambridge Core (原Cambridge Companion Online 與 Cambridge Books Online) 收錄劍橋大學出版社之電子書，主題相當廣泛，包含醫學類、人文類、社會科學類、自然科學類等。 |

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eBook Collection (EBSCOhost) User Guide 為英文綜合學科之電子書，可直接線上閱讀、或下載至載具離線閱讀 (支援多載具)。 |

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Elsevier eBooks on ScienceDirect 館藏查詢 為Elsevier出版社經營的電子資源平台，涵蓋生化、遺傳學和分子生物學、化學、臨床醫學、工程學和獸醫學等學科。 |

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ProQuest Ebook Central MyiLibrary電子書 User Guide MyiLibrary於2018年併為ProQuest Ebook Central平台，涵蓋綜合類十大主題，提供多種欄位檢索及主題瀏覽，提供線上閱讀及整本或特定章節下載。 |

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SpringerLink 施普林格電子書 館藏查詢 全球最大的學術出版社，提供Springer出版社之電子書與電子叢書。 |

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Taylor & Francis 電子書 Engineering & Technology 收錄Taylor & Francis、Routledge、Psychology Press、CRC Press等多家出版社的學術專業參考書。 |

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為國際知名專業出版機構John Wiley & Sons所出版之電子書平台，內容涵蓋商業、化學、電腦科學、地球與環境科學、教育、工程、法律、生命科學、數學與統計、醫學與公共衛生、物理與天文、聚合物與材料科學、心理學等領域。 |

- Convex Cones by This book provides the foundations for geometric applications of convex cones and presents selected examples from a wide range of topics, including polytope theory, stochastic geometry, and Brunn-Minkowski theory. Giving an introduction to convex cones, it describes their most important geometric functionals, such as conic intrinsic volumes and Grassmann angles, and develops general versions of the relevant formulas, namely the Steiner formula and kinematic formula. In recent years questions related to convex cones have arisen in applied mathematics, involving, for example, properties of random cones and their non-trivial intersections. The prerequisites for this work, such as integral geometric formulas and results on conic intrinsic volumes, were previously scattered throughout the literature, but no coherent presentation was available. The present book closes this gap. It includes several pearls from the theory of convex cones, which should be better known. ISBN: 9783031151262Publication Date: 2022
- Recent Progress in Mathematics by This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction. Four of the chapters are expository in nature while one is based more directly on research. All deal with important areas of mathematics, however, such as algebraic geometry, topology, partial differential equations, Riemannian geometry, and harmonic analysis. This book is addressed to researchers who are interested in those subject areas. Young-Hoon Kiem discusses classical enumerative geometry before string theory and improvements after string theory as well as some recent advances in quantum singularity theory, Donaldson-Thomas theory for Calabi-Yau 4-folds, and Vafa-Witten invariants. Dongho Chae discusses the finite-time singularity problem for three-dimensional incompressible Euler equations. He presents Kato's classical local well-posedness results, Beale-Kato-Majda's blow-up criterion, and recent studies on the singularity problem for the 2D Boussinesq equations. Simon Brendle discusses recent developments that have led to a complete classiﬁcation of all the singularity models in a three-dimensional Riemannian manifold. He gives an alternative proof of the classiﬁcation of noncollapsed steady gradient Ricci solitons in dimension 3. Hyeonbae Kang reviews some of the developments in the Neumann-Poincare operator (NPO). His topics include visibility and invisibility via polarization tensors, the decay rate of eigenvalues and surface localization of plasmon, singular geometry and the essential spectrum, analysis of stress, and the structure of the elastic NPO. Danny Calegari provides an explicit description of the shift locus as a complex of spaces over a contractible building. He describes the pieces in terms of dynamically extended laminations and of certain explicit "discriminant-like" aﬃne algebraic varieties. ISBN: 9789811937071Publication Date: 2022
- Advanced Mathematics for Engineering Students by Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author's university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering - a "toolbox" for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical).ISBN: 9780128236819Publication Date: 2021
- Optimal Control of Partial Differential Equations by This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. The book covers the whole range spanning from the setup and the rigorous theoretical analysis of OCPs, the derivation of the system of optimality conditions, the proposition of suitable numerical methods, their formulation, their analysis, including their application to a broad set of problems of practical relevance. The first introductory chapter addresses a handful of representative OCPs and presents an overview of the associated mathematical issues. The rest of the book is organized into three parts: part I provides preliminary concepts of OCPs for algebraic and dynamical systems; part II addresses OCPs involving linear PDEs (mostly elliptic and parabolic type) and quadratic cost functions; part III deals with more general classes of OCPs that stand behind the advanced applications mentioned above. Starting from simple problems that allow a "hands-on" treatment, the reader is progressively led to a general framework suitable to face a broader class of problems. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The three parts of the book are suitable to readers with variable mathematical backgrounds, from advanced undergraduate to Ph.D. levels and beyond. We believe that applied mathematicians, computational scientists, and engineers may find this book useful for a constructive approach toward the solution of OCPs in the context of complex applications.ISBN: 9783030772253Publication Date: 2021
- Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems by This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems. The cornerstone of the presented procedure is the concept of "optimal auxiliary functions" which are needed to obtain accurate results in an efficient way. Unlike other known analytic approaches, this procedure provides us with a simple but rigorous way to control and adjust the convergence of the solutions of nonlinear dynamical systems. The optimal auxiliary functions are depending on some convergence-control parameters whose optimal values are rigorously determined from mathematical point of view. The capital strength of our procedure is its fast convergence, since after only one iteration, we obtain very accurate analytical solutions which are very easy to be verified. Moreover, no simplifying hypothesis or assumptions are made. The book contains a large amount of practical models from various fields of engineering such as classical and fluid mechanics, thermodynamics, nonlinear oscillations, electrical machines, and many more. The book is a continuation of our previous books "Nonlinear Dynamical Systems in Engineering. Some Approximate Approaches", Springer-2011 and "The Optimal Homotopy Asymptotic Method. Engineering Applications", Springer-2015.ISBN: 9783030756529Publication Date: 2021