LINEAR ALGEBRA I: BASIC CONCEPTS

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This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course. The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations. In particular, the following four aspects are emphasized. How matrices arise (discretization of differential equations, description of system structures, description of transition probability) What kinds of matrices arise (sparse matrices, positive definite matrices, diagonally-dominant matrices, nonnegative matrices, integer matrices, polynomial matrices) What characteristics we are interested in (rank, eigenvalues, singular values, positive definiteness) How we can compute (expansion formulas of determinants, elementary transformation, estimates of eigenvalues) Request Inspection Copy Sample Chapter(s) Preface Chapter 1: Matrices Contents: Preface Matrices Determinants Elementary Transformations and Elimination Rank Systems of Linear Equations Eigenvalues Quadratic Forms Singular Values and the Method of Least Squares Vector Spaces Bibliography Index Readership: Undergraduate students majoring in engineering and other mathematical sciences.

BASIC ABSTRACT ALGEBRA: EXERCISES AND SOLUTIONS

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This book is mainly intended for first-year University students who undertake a basic abstract algebra course, as well as instructors. It contains the basic notions of abstract algebra through solved exercises as well as a "True or False" section in each chapter. Each chapter also contains an essential background section, which makes the book easier to use. Sample Chapter(s) Introduction CHAPTER 3: Binary Relations Request Inspection Copy Contents: Introduction Sets and Logic Mappings Binary Relations Groups Rings and Fields Polynomials and Rational Fractions Bibliography Index Readership: First and second year mathematics and computer science students interested in abstract algebra. Also good for instructors.

臨床與基礎醫學交會之今昔（On the Interaction of Clinical and Basic Medicine） (1版)

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【簡介】 臨床療效是醫學的生命。離開臨床無醫學。了解醫學之演變與應用，對於臨床診療的實際，將有更深入的理解。 本書《臨床與基礎醫學交會之今昔》，由陳麒方、皮國立兩位教授學者主編，共收錄8篇文章以及1篇中醫臨床醫學雜誌論文總清單。文章作者群涵蓋醫藥衛生領域16位專家學者，文章主題包含：中醫癌症診治分析、婦幼醫學孕產用藥與轉骨探討、台灣系統化醫療肇始（日本時代的醫生免許規則等）、傳統醫藥領域的新技術肌筋膜脈學治療及其醫案、醫學書翻譯的研討等。另有目前發行時間最長的台灣中醫藥期刊《中臨醫誌》論文總清單920篇完整書目。本書對臨床醫學以及基礎醫學從治療、藥品、醫學演變、技術、文化發展等面向，都有論述，是一部相當有意義的中醫學術書。 This book "On the Interaction of Clinical and Basic Medicine" is edited by two scholars, Prof./Dr. CHEN Chi-Fang and Prof. PI Kuo-Li. It contains a total of 8 articles and a comprehensive list of articles in Taiwan Journal of Clinical Chinese Medicine (TJCCM). Group of the article covers 16 experts and scholars in the field of health from whole Taiwan. The topics of the article including: Exploring the Relationship between Dysfunction of the Four Major Functions of the Human Body from the Perspective of Traditional Chinese Medicine and the Occurrence of Cancer, Research on the Safety of CM usage during Pregnancy, Development of CM Bone-Strengthening Formulae, Japanese-Ruled Taiwan Han Medicine, Myofascial Pulse Diagnosis & related Case Reports, and Medical Term Translation (Transliterated Knowledge). Moreover, there is also a total list of 920 complete bibliographies of the TJCCM, the longest published journal of traditional Chinese medicine in Taiwan. The medical historical development and current status are discussed, and this book is a very meaningful academic work on clinical medicine. 【目錄】   Exploring the Relationship between Dysfunction of the Four Major Functions of the Human Body from the Perspective via Traditional Chinese Medicine and the Occurrence of Cancer－A Case Analysis/　Di-Wei Fan   中藥妊娠用藥安全之回顧探討 / 莊賢業、吳宗修、吳淑娟   台灣中醫轉骨劑型之發展 / 葉人鳳   透視日本時代《台灣醫生免許規則》觀察漢醫蛻變 / 殷揚智、林昭庚、皮國立、牛惠之   乙未戰爭以後：台灣漢醫變遷錄 / 殷揚智、林昭庚、陳麒方、牛惠之   肌筋膜脈學與乾針—中醫脈診臨床觀察與教育價值 / 林以正、陳冠宇、黃彥鈞   以筋膜觀點看接經透刺於下肢靜脈曲張之應用 / 胡書聚、王朝慶   音譯而來的知識：《西洋藥書》之Eliksir藥露 / 蔡名哲