TANAKA Hiroshi

Researcher Information

J-Global ID

• 200901033555187797

Research Interests

• 実代数幾何学   モデル理論   数理論理学   数学基礎論   

Research Areas

• Natural sciences / Applied mathematics and statistics
• Natural sciences / Basic mathematics

Academic & Professional Experience

• 2013/04 - Today  Kindai UniversityFaculty of Engineering, Faculty of Engineering講師
• 2007/04 - 2013/03  Anan National College of Technology General Arts講師

Association Memberships

• 日本数学教育学会   日本数学会   

Published Papers

• Mathematics Instruction based on Model Core Curriculum

  Tagami Takanori; Yamada Koutaro; Tanaka Hiroshi; Iwasa Kenji

  Japanese colleges of technology education journal 独立行政法人国立高等専門学校機構 (37) 173 - 176 0386-5681 2014/03 [Refereed]
   

  In this paper, we describe the educational effects with the mathematics instruction based on the model corecurriculum organized by the Institute of National Colleges of Technology. In recent years, there is a marked decline inthe students' mathematics ability and learning motivation. The problem has a serious influence on the engineeringeducation in Anan National College of Technology. The model core curriculum serves as an important guiding principleof mathematics education. The educational effects are evaluated with the mathematics achievement test. The test resultsshow that the current mathematics instruction based on the model core curriculum is appropriate.
• Locally o-minimal structures

  Tomohiro Kawakami; Kota Takeuchi; Hiroshi Tanaka; Akito Tsuboi

  JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN MATH SOC JAPAN 64 (3) 783 - 797 0025-5645 2012/07 [Refereed]
   

  In this paper we study (strongly) locally o-minimal structures. We first give a characterization of the strong local o-minimality. We also investigate locally o-minimal expansions of (R, +, <).
• Improvement of Mathematics Education in Anan National College of Technology

  Tagami Takanori; Yamada Koutaro; Tanaka Hiroshi; Kushida Masahiro; Kawasaki Toshikazu; Miyamoto Haruo

  Transactions of Mathematical Education for Colleges and Universities, Japan Society of Mathematical Education, Division of Colleges and Universities 18 (1) 75 - 80 2011/12 [Refereed]
  
• The Effects of Remedial Mathematics Program

  Tagami Takanori; Yamada Koutaro; Tanaka Hiroshi; Kushida Masahiro; Kawasaki Toshikazu; Miyamoto Haruo

  Japanese colleges of technology education journal (33) 501 - 504 2010/03 [Refereed]
  
• Chaos and Fractal Theories as Tools for Searching of Biological Behavior : The Chaos Analysis of Fish Behavior

  SUGINO Ryuzaburo; TANAKA Hiroshi

  Transactions of Mathematical Education for Colleges and Universities, Japan Society of Mathematical Education, Division of Colleges and Universities 公益社団法人日本数学教育学会 16 (1) 39 - 54 1345-9422 2009/10 [Refereed]
  
• The Enhancement of Student Motivation in Mathematics

  Tagami Takanori; Tanaka Hiroshi; Kushida Masahiro; Kawasaki Toshikazu; Miyamoto Haruo; Koshiba Toshihiko

  Japanese colleges of technology education journal (32) 621 - 625 2009/03 [Refereed]
  
• Quantifier elimination for lexicographic products of ordered abelian groups

  Ibuka, Shingo; Kikyo, Hirotaka; Tanaka, Hiroshi

  Tsukuba Journal of Mathematics 33 (1) 95 - 129 0387-4982 2009 [Refereed]
  
• Weakly o-minimal structures and weakly definably connected

  Tanaka, Hiroshi

  Far East Journal of Mathematical Sciences 34 (2) 177 - 187 2009 [Refereed]
  
• Theories of ordered commutative monoids

  Tanaka, Hiroshi

  Scientiae Mathematicae Japonicae 34 (2) 177 - 187 2007 [Refereed]
  
• C^r strong cell decompositions in non-valuational weakly o-minimal real closed fields

  Tanaka, Hiroshi; Kawakami, Tomohiro

  Far East Journal of Mathematical Sciences 25 (3) 417 - 431 2007 [Refereed]
  
• Quantifier elimination of the products of ordered abelian groups

  Tanaka, Hiroshi; Yokoyama, Hirokazu

  Tsukuba Journal of Mathematics Institute of Mathematics, University of Tsukuba 30 (2) 433 - 438 0387-4982 2006 [Refereed]
  
• Direct products of ordered abelian groups

  Tanaka, Hiroshi

  Scientiae Mathematicae Japonicae 63 (2) 229 - 235 2006 [Refereed]
  
• Ladder index of groups

  Ishikawa, Kazuhiro; Tanaka, Hiroshi; Tanaka, Katsumi

  Mathematical Journal of Okayama University Department of Mathematics, Faculty of Science, Okayama University 44 (1) 37 - 41 0030-1566 2002 [Refereed]
  

Books etc

• Basic Differential and Integral you should know

  田中 広志 (Joint work)Kyoritsu Shuppan Co., Ltd. 2015/02 4320111052 132
• Basic Linear Algebra you should know

  田中 広志 (Joint work)Kyoritsu Shuppan Co., Ltd. 2015/02 4320111044 147

Conference Activities & Talks

• Integral algebra

  RIMS meeting 2021 New developments of transformation groups  2021/05
• On definable sets in non-valuational weakly o-minimal structures  [Not invited]

  TANAKA Hiroshi

  2017 RIMS Model Theory Workshop  2017/12
• On definable functions in weakly o-minimal structures

  RIMS Conference New topics on transformation groups  2015/05

MISC

• The Effectiveness of Seminar Style Lectures in Mathematics

  Hiroshi Tanaka  近畿大学工学部教職課程年報  9-  3  -7  2023/03
• Integral algebra (New developments of transformation groups)

  Tanaka, Hiroshi  RIMS Kokyuroku  2199-  19  -22  2021/09
• Definable sets in weakly o-minimal structures with the strong cell decomposition property

  TANAKA Hiroshi  数理解析研究所講究録  2084-  63  -68  2018/08
• Improvement of Mathematics Lessons for Faculty of Engineering

  Hiroshi TANAKA  Annual report of Faculty of Engineering, Kinki University  3-  19  -23  2016/08
• 弱順序極小構造上での定義可能な関数について (新しい変換群論の幾何)

  田中 広志  数理解析研究所講究録  1968-  98  -103  2015/11
• A Study of methods of mathematics education for Faculty of Engineering

  Hiroshi TANAKA  Annual report of Faculty of Engineering, Kinki University  2-  3  -6  2015/07
• The strong continuity in weakly o-minimal structures (Model theoretic aspects of the notion of independence and dimension)

  Tanaka Hiroshi  RIMS Kokyuroku  1888-  87  -92  2014/04
• 局所順序極小構造について (モデル理論における独立概念と次元の研究)

  川上 智博; 竹内 耕太; 田中 広志; 坪井 明人  数理解析研究所講究録  1741-  28  -33  2011/05
• EQUIVARIANT DEFINABLE MORSE FUNCTIONS ON DEFINABLE $C^{\infty}G$ MANIFOLDS (New developments of independence notions in model theory)

  KAWAKAMI TOMOHIRO; TANAKA HIROSHI  RIMS Kokyuroku  1718-  58  -63  2010/10
• 生物の行動を探る道具としてのカオス・フラクタル理論 第2報(IV 高専・大学部会,第92回全国算数・数学教育研究(新潟)大会 第59回北陸四県数学教育研究(新潟)大会 平成22年度新潟県高等学校教育研究会数学部会 日本数学教育学会第92回総会)

  杉野 隆三郎; 田中 広志  日本数学教育学会誌. 臨時増刊, 総会特集号  92-  500  -500  2010/08
• 弱順序極小構造上での連結性について (変換群論の新たな展開)

  田中 広志  数理解析研究所講究録  1670-  72  -76  2009/12
• 生物の行動を探る道具としてのカオス・フラクタル理論(高専・大学,第91回全国算数・数学教育研究(京都)大会第56回近畿算数・数学教育研究(京都)大会日本数学教育学会第91回総会)

  杉野 隆三郎; 田中 広志  日本数学教育学会誌. 臨時増刊, 総会特集号  91-  528  -528  2009/08
• 弱順序極小構造とdefinable集合の完備化 (弱順序極小構造上での実代数幾何の研究)

  田中 広志  数理解析研究所講究録  1646-  23  -27  2009/04
• 弱順序極小構造とdefinably connectedについて (モデル理論の手法による無限構造の構成法)

  田中 広志  数理解析研究所講究録  1602-  6  -9  2008/06
• 弱順序極小構造上での一変数関数の単調性定理について(さまざまな体における定義可能集合の構造の研究)

  田中 広志  数理解析研究所講究録  1574-  35  -38  2007/11
• 弱順序極小な実閉体上での関数の微分の definability について(モデル理論における独立概念と次元)

  田中 広志; 川上 智博  数理解析研究所講究録  1555-  23  -26  2007/05
• 弱順序極小実閉体上の$C^r$セル分解(特異点論とオーミニマルカテゴリー)

  田中 広志; 川上 智博  数理解析研究所講究録  1540-  107  -110  2007/04
• Completion and differentiability in weakly o-minimal structures

  Tanaka, Hiroshi; Kawakami, Tomohiro  Proceedings of 34th Symposium on Transformation Groups  119  -125  2007
• 非付値的弱順序極小な実閉体上の関数の微分可能性について(体のモデル理論とその応用)

  田中 広志; 川上 智博  数理解析研究所講究録  1515-  25  -33  2006/09
• Weakly o-minimal structures(Study of definability in nonstandard models of arithmetic)

  Tanaka Hiroshi  RIMS Kokyuroku  1469-  50  -58  2006/02
• Quantifier elimination of the products of ordered abelian groups(Study of definability in nonstandard models of arithmetic)

  Tanaka Hiroshi; Yokoyama Hirokazu  RIMS Kokyuroku  1469-  59  -64  2006/02
• Weakly o-minimal algebraic structures (Zariski Geometry and Arithmetic Geometry)

  Tanaka Hiroshi  RIMS Kokyuroku  1450-  83  -90  2005/09
• Gap Number of Groups (Generic structures and their applications)

  Tanaka Hiroshi  RIMS Kokyuroku  1390-  40  -45  2004/07
• 標数0の微分閉体のモデル理論 (モデル理論と代数幾何の交流)

  田中 広志  数理解析研究所講究録  1344-  40  -50  2003/10

Awards & Honors

• 2012/07 阿南工業高等専門学校 高志賞（研究部門）
   

  受賞者: 田中 広志

Research Grants & Projects

• モデル理論

Other link

researchmap

https://researchmap.jp/read0141572