Linear Algebraic Groups

Linear Algebraic Groups and Finite Groups of Lie Type

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Linear Algebraic Groups and Finite Groups of Lie Type

出版日：2011/10/30 作者：Gunter Malle 出版社：Cambridge Univ Pr 裝訂：精裝

Originating from a summer school taught by the authors, this concise treatment includes many of the main results in the area. An introductory chapter describes the fundamental results on linear algebraic groups, culminating in the classification of semisimple groups. The second chapter introduces more specialized topics in the subgroup structure of semisimple groups and describes the classification of the maximal subgroups of the simple algebraic groups. The authors then systematically develop the subgroup structure of finite groups of Lie type as a consequence of the structural results on algebraic groups. This approach will help students to understand the relationship between these two classes of groups. The book covers many topics that are central to the subject, but missing from existing textbooks. The authors provide numerous instructive exercises and examples for those who are learning the subject as well as more advanced topics for research students working in related areas.

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2.

Quadratic Forms, Linear Algebraic Groups, and Cohomology

出版日：2010/07/01 作者：Jean-Louis Colliot-Thelene (EDT); Skip Garibaldi (EDT); R. Sujatha (EDT); Venapally Suresh (EDT) 出版社：Springer Verlag 裝訂：精裝

Developments in Mathematics is a book series devoted to all areas of mathematics, pure and applied. The series emphasizes research monographs describing the latest advances. Edited volumes that focus

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出版日：2008/11/18 作者：T. A. Springer 出版社：Springer Verlag 裝訂：平裝

The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrar

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4.

Algebraic Geometry ― Linear Algebraic Groups, Invariant Theory

出版日：1994/04/01 作者：A. N. Parshin (EDT); I. R. Shafarevich (EDT); V. L. Popov (CON); T. A. Springer (CON); E. B. Vinberg (CON) 出版社：Springer Verlag 裝訂：精裝

Containing two contributions on the theory of linear algebraic groups and invariant theory, this volume includes a survey, which contains sketched proofs, and discusses the features of algebraic group

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5.

Linear Algebraic Groups

出版日：1981/07/01 作者：James E. Humphreys 出版社：Springer Verlag 裝訂：精裝

James E. Humphreys is a distinguished Professor of Mathematics at the University of Massachusetts at Amherst. He has previously held posts at the University of Oregon and New York University. His main

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Computation With Linear Algebraic Groups

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6.

Computation With Linear Algebraic Groups

出版日：2017/04/25 作者：Willem Adriaan De Graaf 出版社：Productivity Press 裝訂：精裝

This book gives a reasonably self-contained account of a number of algorithmic problems and their solutions for linear algebraic groups. The theory underpinning the algorithms is described as well. To

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7.

Linear Algebraic Monoids

出版日：1988/08/25 作者：Mohan S. Putcha 出版社：Cambridge Univ Pr 裝訂：平裝

This book provides an introduction to the field of linear algebraic monoids. This subject represents a synthesis of ideas from the theory of algebraic groups, algebraic geometry, matrix theory and abstract semigroup theory. Since every representation of an algebraic group gives rise to an algebraic monoid, the objects of study do indeed arise naturally.

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Linear Algebra and Linear Models

出版日：2012/01/28 作者：R. B. Bapat 出版社：Springer Verlag 裝訂：平裝

Linear Algebra and Linear Models comprises a concise and rigorous introduction to linear algebra required for statistics followed by the basic aspects of the theory of linear estimation and hypothesis

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9.

Homogeneous Spaces and Equivariant Embeddings

出版日：2011/04/12 作者：Dmitry A. Timashev (EDT) 出版社：Springer Verlag 裝訂：精裝

Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representat

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10.

Pseudo-Reductive Groups

出版日：2010/08/31 作者：Brian Conrad 出版社：Cambridge University Press 裝訂：精裝

The theory of pseudo-reductive groups is required for the study of general linear algebraic groups over non-perfect fields. This treatment includes new results and a complete classification. The autho

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Probabilities on Algebraic Structures

出版日：2008/02/04 作者：Ulf Grenander 出版社：Dover Pubns 裝訂：平裝

A systematic account of the theory of probability for certain sample spaces with algebraic structure, this text covers semi-groups, groups, linear vector spaces, and algebra. It states and studies fun

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Finite Presentability of S-arithmetic Groups. Compact Presentability of Solvable Groups

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Finite Presentability of S-arithmetic Groups. Compact Presentability of Solvable Groups

出版日：1987/07/10 作者：Herbert Abels 出版社：Springer Verlag 裝訂：平裝

The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological gro

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Galois Groups and Fundamental Groups

出版日：2009/08/31 作者：Tamás Szamuely 出版社：Cambridge Univ Pr 裝訂：精裝

Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that underpins much modern research in geometry and number theory. Assuming as little technical background as possible, the book starts with basic algebraic and topological concepts, but already presented from the modern viewpoint advocated by Grothendieck. This enables a systematic yet accessible development of the theories of fundamental groups of algebraic curves, fundamental groups of schemes, and Tannakian fundamental groups. The connection between fundamental groups and linear differential equations is also developed at increasing levels of generality. Key applications and recent results, for examp

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Algebraic Groups ─ The Theory of Group Schemes of Finite Type over a Field

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Algebraic Groups ─ The Theory of Group Schemes of Finite Type over a Field

出版日：2017/09/30 作者：J. S. Milne 出版社：Cambridge Univ Pr 裝訂：精裝

Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry. The first eight chapters study general algebraic group schemes over a field and culminate in a proof of the Barsotti–Chevalley theorem, realizing every algebraic group as an extension of an abelian variety by an affine group. After a review of the Tannakian philosophy, the author provides short accounts of Lie algebras and finite group schemes. The later chapters treat reductive algebraic groups over arbitrary fields, including the Borel–Chevalley structure theory. Solvable algebraic groups are studied in detail. Prerequisites have also been kept to a minimum so that the book is accessible to non-specialists in algebraic geometry.

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15.

Pseudo-reductive Groups

出版日：2015/04/30 作者：Brian Conrad 出版社：Cambridge Univ Pr 裝訂：精裝

Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. In this second edition there is new material on relative root systems and Tits systems for general smooth affine groups, including the extension to quasi-reductive groups of famous simplicity results of Tits in the semisimple case. Chapter 9 has been completely rewritten to describe and classify pseudo-split absolutely pseudo-simple groups with a non-reduced root system over arbitrary fields of characteristic 2 via the useful new notion of 'minimal type' for pseudo-reductive groups. Researchers and graduate students working in related areas, such as algebraic geometry, algebraic group theory, or number theory will value this book, as it develops tools likely to be used in tackling other problem

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16.

Lie Groups and Algebraic Groups

出版日：2012/07/31 作者：Arkadij L. Onishchik; Ernest B. Vinberg; Dimitry A. Leites (TRN) 出版社：Springer Verlag 裝訂：平裝

This is a quite extraordinary book on Lie groups and algebraic groups. Created from hectographed notes in Russian from Moscow University, which for many Soviet mathematicians have been something akin

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Topics In Complex Function Theory, Volume Two: Automorphic Functions And Abelian Integrals (Paper Edition)

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Topics In Complex Function Theory, Volume Two: Automorphic Functions And Abelian Integrals (Paper Edition)

出版日：1988/02/09 作者：Siegel 出版社：John Wiley & Sons Inc 裝訂：平裝

AUTOMORPHIC FUNCTIONS. Fractional Linear Transformations. Noneuclidean Geometry. Discontinuous Groups. Polygon Groups. Poincar Series. The Field of Automorphic Functions. Automorphic and Algebraic Fun

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18.

Skew Linear Groups

出版日：1987/01/08 作者：M. Shirvani 出版社：Cambridge Univ Pr 裝訂：平裝

This book is concerned with subgroups of groups of the form GL(n,D) for some division ring D. In it the authors bring together many of the advances in the theory of skew linear groups. Some aspects of skew linear groups are similar to those for linear groups, however there are often significant differences either in the method of proof or the results themselves. Topics covered in this volume include irreducibility, unipotence, locally finite-dimensional division algebras, and division algebras associated with polycyclic groups. Both authors are experts in this area of current interest in group theory, and algebraists and research students will find this an accessible account of the subject.

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企業管理學報－第47卷第2期（111/06）

出版日：2022/06/01 作者：國立臺北大學 出版社：臺北大學企業管理學系 裝訂：平裝

The link between corporate social responsibility and financial performance in Taiwan：A non-linear approachCognitive complexity, stylistic innovation and performance： A preliminary study of small taiwanese design firmsA bibliometric analysis on emerging technology research and development

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Diary of a Wimpy Kid #13: The Meltdown (美國平裝本)

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Diary of a Wimpy Kid #13: The Meltdown (美國平裝本)

出版日：2019/09/10 作者：Jeff Kinney; 傑夫·肯尼 出版社：Harry N Abrams Inc 裝訂：平裝

When snow shuts down Greg Heffley’s middle school, his neighborhood transforms into a wintry battlefield. Rival groups fight over territory, build massive snow forts, and stage epic snowball fights. A

優惠價： 79 240

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Language, Evolution，and the Brain

出版日：2009/01/01 作者：JAMES W. MINETT; WILLIAM S-.Y. WANG 出版社：香港城市大學出版社 裝訂：平裝

A number of research groups around the world have begun to study how the brain acquires and processes language, but we still know comparatively little about it. Many such groups work on very specific,

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The Limits of Protectionism ─ Building Coalitions for Free Trade

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The Limits of Protectionism ─ Building Coalitions for Free Trade

出版日：2004/07/01 作者：Michael Lusztig 出版社：University of Pittsburgh Press 裝訂：平裝

Conventional wisdom holds that free trade is economically beneficial to nations. But this does not prevent industries and interest groups from lobbying their governments for protection, which creates

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Spunky Monkeys on Parade ─ Counting by 2's, 3's, and 4's (Level 2)

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Spunky Monkeys on Parade ─ Counting by 2's, 3's, and 4's (Level 2)

出版日：1999/08/01 作者：Stuart J. Murphy; Lynne Woodcock Cravath 出版社：Harpercollins Childrens Books 裝訂：平裝

In the Monkey Day Parade, monkey majorettes, cyclists, tumblers, and band members create a spectacle as they move along in groups of two, three, and four

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建築繪圖（上冊）

出版日：1998/08/01 作者：顏麗蓉 出版社：六合 裝訂：平裝

本書前三章是建築設計繪圖技巧的基礎，同時也提供了二度與三次空間繪圖的基本結構。其後五章，Orthorgraphic and Paraline Drawing、Representational Sketching、Linear Perspective Drawing、Perspective View Development與Light、Shade、and Shadow則是建立圖溝通的重要部分。徒

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Linear Response Theory ─ An Analytic-Algebraic Approach

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Linear Response Theory ─ An Analytic-Algebraic Approach

出版日：2017/08/11 作者：Giuseppe De Nittis; Max Lein 出版社：Springer Verlag 裝訂：平裝

This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by exte

優惠價： 9 2835

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Linear Algebra

出版日：2012/07/04 作者：Werner H. Greub 出版社：Springer Verlag 裝訂：平裝

Here is a detailed and comprehensive presentation of linear algebra based on axiomatic treatment of linear spaces. The text maintains a balance between modern algebraic interests and traditional linea

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27.

線性代數群（簡體書）

出版日：2009/04/01 作者：(美)以弗萊斯 出版社：世界圖書(北京)出版公司 裝訂：平裝

《線性代數群》講述了：For this printing, I have corrected some errors and made numerous minor changes in the interest of clarity. The most significant corrections occur in Sections 4.2, 4.3, 5.5, 30.3, 32.1, and

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Characteristic Classes and the Cohomology of Finite Groups

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Characteristic Classes and the Cohomology of Finite Groups

出版日：2008/11/27 作者：C. B. Thomas 出版社：Cambridge Univ Pr 裝訂：平裝

The purpose of this book is to study the relation between the representation ring of a finite group and its integral cohomology by means of characteristic classes. In this way it is possible to extend the known calculations and prove some general results for the integral cohomology ring of a group G of prime power order. Among the groups considered are those of p-rank less than 3, extra-special p-groups, symmetric groups and linear groups over finite fields. An important tool is the Riemann - Roch formula which provides a relation between the characteristic classes of an induced representation, the classes of the underlying representation and those of the permutation representation of the infinite symmetric group. Dr Thomas also discusses the implications of his work for some arithmetic groups which will interest algebraic number theorists. Dr Thomas assumes the reader has taken basic courses in algebraic topology, group theory and homological algebra, but has included an appendix in w

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Algebraic Groups and Lie Groups With Few Factors

出版日：2008/06/01 作者：Alfonso Di Bartolo; Giovanni Falcone; Peter Plaumann; Karl Strambach 出版社：Textstream 裝訂：平裝

Algebraic groups are treated in this volume from a group theoretical point of view and the obtained results are compared with the analogous issues in the theory of Lie groups. The main body of the tex

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Algebraic Groups and Lie Groups：A Volume of Papers in Honour of the Late R. W. Richardson

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Algebraic Groups and Lie Groups：A Volume of Papers in Honour of the Late R. W. Richardson

出版日：1997/01/23 作者：G. I. Lehrer 出版社：Cambridge Univ Pr 裝訂：平裝

This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometric, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz. connections between representation theory and the structure and geometry of algebraic groups. Particular topics addressed include Kazhdan-Lusztig theory, quantum groups, spherical varieties, symmetric varieties, cohomology of varieties, purity, Schubert geometry, invariant theory and symmetry breaking. The theory of canonical bases and their geometric context is a theme of several of the contributions as is the orbit theory of algebraic group actions on affine varieties. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting material.

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Linear Multivariable Control - Algebraic Analysis & Synthesis Methods

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Linear Multivariable Control - Algebraic Analysis & Synthesis Methods

出版日：1991/01/23 作者：Vardulakis 出版社：John Wiley & Sons Inc 裝訂：精裝

Details the basic theory of polynomial and fractional representation methods for algebraic analysis and synthesis of linear multivariable control systems. It also serves as a self-contained treatise o

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32.

Transformation Groups and Algebraic K-theory

出版日：1989/11/28 作者：Wolfgang Luck 出版社：Springer Verlag 裝訂：平裝

The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the

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Representations of General Linear Groups

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Representations of General Linear Groups

出版日：1984/05/24 作者：G. D. James 出版社：Cambridge Univ Pr 裝訂：平裝

The most important examples of finite groups are the group of permutations of a set of n objects, known as the symmetric group, and the group of non-singular n-by-n matrices over a finite field, which is called the general linear group. This book examines the representation theory of the general linear groups, and reveals that there is a close analogy with that of the symmetric groups. It consists of an essay which was joint winner of the Cambridge University Adams Prize 1981-2, and is intended to be accessible to mathematicians with no previous specialist knowledge of the topics involved. Many people have studied the representations of general linear groups over fields of the natural characteristic, but this volume explores new territory by considering the case where the characteristic of the ground field is not the natural one. Not only are the results in the book elegant and interesting in their own right, but they suggest many lines for further investigation.

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Calculus：Applications in Constrained Optimization

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Calculus：Applications in Constrained Optimization

出版日：2025/08/11 作者：蔡國榮(Kwok-Wing Tsoi); 蔡雅如(Ya-Ju Tsai) 出版社：臺大出版中心 裝訂：平裝

Calculus: Applications in Constrained Optimization provides an accessible yet mathematically rigorous introduction to constrained optimization, designed for undergraduate students who have some experiences with multivariable calculus. Based on a successful course at National Taiwan University (NTU) ── Calculus 4: Applications in Economics and Management, this book connects foundational calculus with contemporary techniques of optimization used in economics, management, and data science.Classical tools such as Lagrange multipliers and second derivative tests are extended into a general framework that covers both equality and inequality constraints. Readers will also learn to identify degenerate cases and apply second-order conditions in multivariable settings. Key concepts from linear algebra are introduced and integrated throughout.Each chapter concludes with a carefully structured set of exercises:● Type (A) questions test basic understanding;● Type (B) questions reinforce key example

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35.

Women in the Fight Against Slavery

出版日：2024/12/30 作者：Therese M. Shea 出版社：Cavendish Square 裝訂：精裝

The abolition movement in the United States―the fight against slavery―likely would have been less powerful and effective without the women of the movement. Yet, even in this fight for freedom, women were often sidelined by their male counterparts. Still, certain mission-driven American women were tenacious in their quest to free the enslaved peoples on American soil. This important book introduces readers to the significant groups and individuals who spoke out and put their lives at risk to halt American slavery. Fact boxes, sidebars, and historical images aid in supporting key curricular content.

優惠價： 1 1450

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Women in the American Revolution

出版日：2024/12/30 作者：Therese M. Shea 出版社：Cavendish Square 裝訂：精裝

All too often, women’s roles in the American Revolution are briefly mentioned or, often, just left out entirely. The omission is a great disservice to students of history. This valuable volume aids readers in understanding the significant part that women played in the fighting of the war and in the founding of the new country. Through carefully researched, accessible text, they’ll learn about groups of women and individuals who supported colonial independence, proving themselves invaluable in the war effort. Sidebars, fact boxes, and historical images add more memorable information about this crucial curricular topic.

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企業管理學報－第49卷第2期(113/06)

出版日：2024/07/01 作者：國立臺北大學 出版社：臺北大學企業管理學系 裝訂：平裝

Using modified Delphi method to explore the key success factors of enterprise service volunteer groups: A case study of SME Honorary Instructors Association Exploring the impact of Martech on marketing strategy Exploring the impact of Martech on marketing strategy

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Fight Club ― A BBC Radio 4 Full-cast Dramatisation

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Fight Club ― A BBC Radio 4 Full-cast Dramatisation

出版日：2019/03/01 作者：Chuck Palahniuk 出版社：BBC Audiobooks Amer 裝訂：有聲書

First there was the insomnia. Then there were the support groups that helped him sleep. Then Marla Singer turned up, muscled in on ascending bowel cancer and ruined everything. Then he met Tyler Durden. Then came Fight Club. This full-cast BBC radio dramatization of Chuck Palahniuk's visceral, unflinching novel stars Patrick Kennedy (Boardwalk Empire) as the Narrator, Sam Hazeldine (Mechanic: Resurrection) as Tyler and Elaine Cassidy (Harper's Island) as Marla.

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Who Is Bono?

出版日：2018/10/02 作者：Pam Pollack 出版社：Penguin Young Readers 裝訂：平裝

How did an Irish schoolboy become the lead singer of a world-famous rock band and the founder of several humanitarian groups? Track Bono's rise to fame in this exciting addition to the Who Was? series

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Is It Wrong to Try to Pick Up Girls in a Dungeon? On the Side: Sword Oratoria, Vol. 1

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Is It Wrong to Try to Pick Up Girls in a Dungeon? On the Side: Sword Oratoria, Vol. 1

出版日：2016/10/25 作者：Fujino Omori; Kiyotaka Haimura; Suzuhito Yasuda 出版社：Yen Pr 裝訂：平裝

Aiz Wallenstein, the Sword Princess, is known as one of the most powerful warriors from one of the most powerful groups in the city of Orario: Loki Familia. With them, she ventures into the deepest pa

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熱搜：

Linear Algebraic Groups

Linear Algebraic Groups and Finite Groups of Lie Type

Quadratic Forms, Linear Algebraic Groups, and Cohomology

Linear Algebraic Groups

Algebraic Geometry ― Linear Algebraic Groups, Invariant Theory

Linear Algebraic Groups

Computation With Linear Algebraic Groups

Linear Algebraic Monoids

Linear Algebra and Linear Models

Homogeneous Spaces and Equivariant Embeddings

Pseudo-Reductive Groups

Probabilities on Algebraic Structures

Finite Presentability of S-arithmetic Groups. Compact Presentability of Solvable Groups

Galois Groups and Fundamental Groups

Algebraic Groups ─ The Theory of Group Schemes of Finite Type over a Field

Pseudo-reductive Groups

Lie Groups and Algebraic Groups

Topics In Complex Function Theory, Volume Two: Automorphic Functions And Abelian Integrals (Paper Edition)

Skew Linear Groups

企業管理學報－第47卷第2期（111/06）

Diary of a Wimpy Kid #13: The Meltdown (美國平裝本)

Language, Evolution，and the Brain

The Limits of Protectionism ─ Building Coalitions for Free Trade

Spunky Monkeys on Parade ─ Counting by 2's, 3's, and 4's (Level 2)

建築繪圖（上冊）

Linear Response Theory ─ An Analytic-Algebraic Approach

Linear Algebra

線性代數群（簡體書）

Characteristic Classes and the Cohomology of Finite Groups

Algebraic Groups and Lie Groups With Few Factors

Algebraic Groups and Lie Groups：A Volume of Papers in Honour of the Late R. W. Richardson

Linear Multivariable Control - Algebraic Analysis & Synthesis Methods

Transformation Groups and Algebraic K-theory

Representations of General Linear Groups

Calculus：Applications in Constrained Optimization

Women in the Fight Against Slavery

Women in the American Revolution

企業管理學報－第49卷第2期(113/06)

Fight Club ― A BBC Radio 4 Full-cast Dramatisation

Who Is Bono?

Is It Wrong to Try to Pick Up Girls in a Dungeon? On the Side: Sword Oratoria, Vol. 1