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Fundamentals of Mathematics
  • Language: en

Fundamentals of Mathematics

  • Type: Book
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  • Published: 2010-08-16
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  • Publisher: Wiley

An accessible introduction to abstract mathematics with an emphasis on proof writing Addressing the importance of constructing and understanding mathematical proofs, Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics. The author supplies a seamless, hands-on presentation of number systems, utilizing key elements of logic and set theory and encouraging readers to abide by the fundamental rule that you are not allowed to use any results that you have not proved yet. The book begins with a focus on the ...

Mathematical Analysis
  • Language: en
  • Pages: 584

Mathematical Analysis

A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics. By focusing on the essentials, reinforcing learning through exercises, and featuring a unique "learn by doing" approach, the book develops the reader's proof writing skills and establishes fundamental comprehension of analysis that is essential for further exploration of pure and applied mathematics. This book is directly applicable to areas such as differential equations, probability theory, numerical analysis, differential geometry, and functional analysis. Mathematical Analysis is composed of ...

Cell Technology for Cell Products
  • Language: en
  • Pages: 814

Cell Technology for Cell Products

The 19th ESACT meeting was to highlight the novel capabilities of the industry to move the products towards the clinic. It was attended by a wide range of workers in the industry and for many it was their first ESACT meeting. The proceedings here include the short papers adding the knowledge of the previous meetings and provide a reference for the researcher entering, or continuing in the field of Animal Cell Technology.

Ordered Sets
  • Language: en
  • Pages: 420

Ordered Sets

  • Type: Book
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  • Published: 2016-05-11
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  • Publisher: Birkhäuser

An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.

Ordered Sets
  • Language: en
  • Pages: 401

Ordered Sets

An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.

A Workbook for Differential Equations
  • Language: en
  • Pages: 352

A Workbook for Differential Equations

An accessible and hands-on approach to modeling and predicting real-world phenomena using differential equations A Workbook for Differential Equations presents an interactive introduction to fundamental solution methods for ordinary differential equations. The author emphasizes the importance of manually working through computations and models, rather than simply reading or memorizing formulas. Utilizing real-world applications from spring-mass systems and circuits to vibrating strings and an overview of the hydrogen atom, the book connects modern research with the presented topics, including first order equations, constant coefficient equations, Laplace transforms, partial differential equa...

Religious Knowledge and Positioning
  • Language: en
  • Pages: 250

Religious Knowledge and Positioning

What should one know in order to position oneself vis-à-vis other religions and confessions? What is religious knowledge and how should it be taught? This volume sheds light on educational media in Judaism and Christianity such as catechisms, children’s bibles, and sermons as well as Jewish and Protestant teacher training in 19th-century Germany and explores the methodological potentials of educational media as a source for (inter-)religious history. It reflects on broader processes of knowledge production and the impact of science and scholarship on religious edu-cation and knowledge production within Christian and Jewish contexts. The volume draws on an interdisciplinary conference that...

Ordered Sets
  • Language: en
  • Pages: 420

Ordered Sets

This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. A wide range of material is presented, from classical results such as Dilworth's, Szpilrajn's and Hashimoto's Theorems to more recent results such as the Li--Milner Structure Theorem. Major topics covered include: chains and antichains, lowest upper and greatest lower bounds, retractions, lattices, t...

Synagogues in the Works of Flavius Josephus
  • Language: en
  • Pages: 279

Synagogues in the Works of Flavius Josephus

  • Type: Book
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  • Published: 2017-02-13
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  • Publisher: BRILL

In Synagogues in the Works of Flavius Josephus, Andrew Krause examines the historiographical tendenz and spatial rhetoric of Flavius Josephus, in order to clarify how his writings may be used responsibly in the reconstruction of first-century synagogues.

Dialogues and Dynamics – Interculturality in Theology and Religious Studies
  • Language: en
  • Pages: 165

Dialogues and Dynamics – Interculturality in Theology and Religious Studies

This volume contains the texts from the symposium on the occasion of the 10th Anniversary of the M.A. Programme Intercultural Theology. The contributions address the challenges and consequences of an intercultural approach in academics as well as in the churches and in society. Since globalisation has significantly changed the face of contemporary Christianity in the 21st century, the task of doing theology has become more complex. The cultural, geographic and denominational varieties of Christianity worldwide challenge the traditional Western face of academic Christian theology and demand new and global forms of theological thinking across lines. Intercultural Theology seeks to embrace these dynamics with a constructive dialogue, opening up new spaces of collaborative thinking and academic reflection.