Varieties Of Integration
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Varieties Of Integration
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Author : C. Ray Rosentrater
language : en
Publisher: The Mathematical Association of America
Release Date : 2015-11-16
Varieties Of Integration written by C. Ray Rosentrater and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-16 with Mathematics categories.
Varieties of Integration explores the critical contributions by Riemann, Darboux, Lebesgue, Henstock, Kurzweil, and Stieltjes to the theory of integration and provides a glimpse of more recent variations of the integral such as those involving operator-valued measures. By the first year of graduate school, a young mathematician will have encountered at least three separate definitions of the integral. The associated integrals are typically studied in isolation with little attention paid to the relationships between them or to the historical issues that motivated their definitions. Varieties of Integration redresses this situation by introducing the Riemann, Darboux, Lebesgue, and gauge integrals in a single volume using a common set of examples. This approach allows the reader to see how the definitions influence proof techniques and computational strategies. Then the properties of the integrals are compared in three major areas: the class of integrable functions, the convergence properties of the integral, and the best form of the Fundamental Theorems of Calculus.
Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1
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Author : Raf Cluckers
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22
Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1 written by Raf Cluckers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.
Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.
Integration And Resistance
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Author : Ricard Moren-Alegret
language : en
Publisher: Routledge
Release Date : 2017-05-15
Integration And Resistance written by Ricard Moren-Alegret and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-15 with Social Science categories.
Integration is a key challenge facing modern society today. Integration and Resistance offers a new theoretical perspective for considering integration. By focusing on international immigrants and their organisations from a wider perspective the author demonstrates that the threat to social integration does not lie with the immigrants themselves but with global capital and the state. By analysis of data collected in Spain and Portugal the book breaks new ground in providing information on processes occurring in intermediate-capitalist countries that share some aspects of economic development, social and migration features with Northern Europe and America whilst also sharing other features such as the economic dependence of more impoverished countries.
Building Regions
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Author : Luk Van Langenhove
language : en
Publisher: Routledge
Release Date : 2016-04-08
Building Regions written by Luk Van Langenhove and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-08 with Political Science categories.
Regions. How they emerge and how they are dramatically changing the appearance of the present 'world of states' and its related forms of governance from local to global levels is analysed in this monograph. But what are regions? Regions can be small or huge. They can be part of a single state, be composed out of different states or stretched out across borders. They can be important recognized economic, social or cultural entities or they can be largely ignored by the people who live on a region's territory. They can be well-defined with clear cut boundaries as is the case in so-called 'constitutional regions' or they can be fuzzy as for instance in cross-border regions. In sum, they are not a natural kind and defining regions is not a simple task. Luk Van Langenhove advances the concept of region building as an alternative to the construction of regions with three issues of region building being explored: - Why are regions built in a world of states? - How do region building processes take place? - How are regions transforming the present world order? Crossing disciplinary boundaries, this book is an exercise in theorizing regions and brings together under one conceptual framework, different processes and concepts such as regional integration, devolution, federalism, and separatism and refines the social constructionist view on regions
Algebraic Geometries An Introduction
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
Algebraic Geometries An Introduction written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
**Algebraic Geometries: An Introduction** is a comprehensive and accessible introduction to algebraic geometry, a vast and active field of mathematics with applications to many other areas of mathematics, including number theory, topology, and differential geometry. Written for undergraduate and graduate students with a background in abstract algebra and linear algebra, this book covers the basic concepts of algebraic geometry, including algebraic varieties, regular functions, differential forms, sheaves, and cohomology. It also includes some more advanced topics, such as moduli spaces, arithmetic geometry, and algebraic geometry and physics. One of the main themes of algebraic geometry is the study of moduli spaces. A moduli space is a space whose points represent algebraic varieties of a given type. For example, the moduli space of elliptic curves is a space whose points represent all elliptic curves. Moduli spaces are important because they provide a way to understand the structure of algebraic varieties. Another important theme of algebraic geometry is the study of arithmetic geometry. Arithmetic geometry is the study of the relationship between algebraic geometry and number theory. For example, one can use algebraic geometry to study Diophantine equations, which are equations whose solutions are integers. Arithmetic geometry is a very active area of research, and it has led to many important results in number theory. Finally, algebraic geometry has many applications to physics. For example, algebraic geometry is used in string theory, mirror symmetry, and quantum cohomology. Algebraic geometry is also used in topological field theories, which are mathematical models of physical phenomena. **Algebraic Geometries: An Introduction** is written in a clear and concise style, and it includes many examples and exercises to help the reader understand the material. It is an ideal textbook for a one-semester or two-semester course in algebraic geometry, and it is also a valuable resource for researchers in other areas of mathematics and physics. If you like this book, write a review!
Gender Intentional Crop Breeding From Integration To Institutional Innovation
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Author : Hale Tufan
language : en
Publisher: Frontiers Media SA
Release Date : 2025-06-02
Gender Intentional Crop Breeding From Integration To Institutional Innovation written by Hale Tufan and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-02 with Technology & Engineering categories.
Significant progress in agricultural technology development has remained persistently blind to social and gender inequalities. Creating agricultural research ecosystems and institutions that address gender inequality requires structural and systemic analysis. One of the major areas of investment in agricultural innovation is plant breeding. Integrating social welfare objectives in plant breeding is a good starting point to catalyze progress towards gender equality objectives in research for development at a global scale, yet devoid of structural change these efforts risk falling short of expectations. Intentionally addressing gender in plant breeding research can reshape the technical options, goals, and intended impact of breeding programs. Improving the benefits delivered to rural women through plant breeding can be achieved through new methods and learning, critically analyzing systematic barriers to equitable plant breeding research, and documenting experiences that demonstrate positive change. There is a wide diversity of global experiences where gender research has analyzed how gender differences influence needs, preferences, and potential benefits from crop varieties and crop-specific traits. Some of these experiences were able to successfully integrate results and learning from gender research into breeding processes and decisions, while some have failed to demonstrate concrete actionable results in breeding programs.
Irresistible Integrals
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Author : George Boros
language : en
Publisher: Cambridge University Press
Release Date : 2004-06-21
Irresistible Integrals written by George Boros and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-21 with Mathematics categories.
This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.
Complex Abelian Varieties And Theta Functions
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Author : George R. Kempf
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Complex Abelian Varieties And Theta Functions written by George R. Kempf and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book.
Inside Interesting Integrals
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Author : Paul J. Nahin
language : en
Publisher: Springer Nature
Release Date : 2020-06-27
Inside Interesting Integrals written by Paul J. Nahin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-27 with Science categories.
What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.
Functional Integration
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Author : Pierre Cartier
language : en
Publisher: Cambridge University Press
Release Date : 2006-11-30
Functional Integration written by Pierre Cartier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Science categories.
In this text, Cartier and DeWitt-Morette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool.