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Pengantar Kombinatorik
Buku ini menyajikan dasar materi terkait dengan Kombinatorik yang merupakan kelanjutan dari Teori Peluang dan Teori Ring yang diberikan pada Program Studi S-1 Pendidikan Matematika. Buku ini akan menjadi jembatan yang sangat baik bagi mahasiswa S-1 Pendidikan Matematika ketika sudah selesai menempuh studi kelak, untuk mengembangkan ilmunya ketika menjadi seorang pendidik atau melanjutkan ke studi S-2. Hal ini dikarenakan kombinatorik merupakan salah satu bidang ilmu matematika yang selalu menjadi salah satu pokok materi dalam seleksi olimpiade matematika baik tingkat nasional maupun tingkat internasional. Selain itu, tema terkait kombinatorik sangat menarik untuk dikembangkan ketika mahasiswa meneruskan studi S-2 kelak.
Teori Ring dan Modul
Sebagai salah satu cabang matematika, struktur aljabar memainkan peran yang sangat penting, khususnya dalam pengembangan konsep abstraksi dan generalisasi yang merupakan bagian yang sangat penting untuk penelitian aljabar lanjut. Ring sebagai struktur aljabar yang melibatkan satu himpunan dan dua operasi merupakan abstraksi dari sifat-sifat sistem bilangan bulat beserta operasi penjumlahan dan pergandaan bilangan-bilangan telah menjadi alat pengembangan konsep keprimaan, ketaktereduksian, invertibilitas, dan konsep hasil bagi serta sisa pembagian, khususnya pada ring suku banyak. Teori ring memiliki aplikasi dalam teori bilangan, khususnya terkait dengan sifat-sifat ideal yang berperan pada ...
An Introduction to Noncommutative Noetherian Rings
This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.
Modules and Algebras
Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.
Modules and Comodules
The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006. The conference was dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory. While some of these fields have a long tradition, others represented here have emerged in recent years.
Modules and Rings
This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.
Structural Equation Modeling With AMOS
This book illustrates the ease with which AMOS 4.0 can be used to address research questions that lend themselves to structural equation modeling (SEM). This goal is achieved by: 1) presenting a nonmathematical introduction to the basic concepts and appli.
Advanced Machining Processes
Advanced machining processes has significant contributions to the manufacturing industries, especially since many new invented materials have advanced properties, which are difficult to machine using conventional machining processes. Therefore, advanced machining processes take a lead in dealing with these types of material. This book focuses on electrical machining and electrical dressing processes. Chapter 1 explains the electrochemical machining (ECM), includes process parameters that involved in the ECM processes. Chapter 2 deals with another advanced machining process, i.e. electro-discharge machining (EDM). Several process parameters that contribute to the EDM processes are also discussed. Electrical dressing is described in Chapter 3 as a special application of ECM and EDM. Finally, other types of non-conventional machining are explained in Chapter 4. [UGM Press, UGM, Gadjah Mada University Press]
A Short History of Mathematical Population Dynamics
As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, f...
Interactive Multimedia Learning
This book introduces new concepts and mechanisms regarding the usage of both social media interactions and artifacts for peer education in digital educational games. Digital games in general, and digital educational games in particular, represent an area with a high potential for interdisciplinary innovation, not only from an information technology standpoint, but also from social science, psychological and didactic perspectives. This book presents an interdisciplinary approach to educational games, which is centered on information technology and aims at: (1) improving digital management by focusing on the exchange of learning outcomes and solution assessment in a peer-to-peer network of lea...
