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An Invitation to Representation Theory - R. Michael Howe - Bog - Springer Nature Switzerland AG - Plusbog.dk

An Invitation to Representation Theory - R. Michael Howe - Bog - Springer Nature Switzerland AG - Plusbog.dk

An Invitation to Representation Theory offers an introduction to groups and their representations, suitable for undergraduates. In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway to representation theory. The subject of representation theory is one of the most connected in mathematics, with applications to group theory, geometry, number theory and combinatorics, as well as physics and chemistry. It can however be daunting for beginners and inaccessible to undergraduates. The symmetric group and its natural action on polynomial spaces provide a rich yet accessible model to study, serving as a prototype for other groups and their representations. This book uses this key example to motivate the subject, developing the notions of groups and group representations concurrently. With prerequisites limited to a solid grounding in linear algebra, this book can serve as a first introduction to representation theory at the undergraduate level, for instance in a topics class or a reading course. A substantial amount of content is presented in over 250 exercises with complete solutions, making it well-suited for guided study.

DKK 301.00
1

An Invitation to Statistics in Wasserstein Space - Yoav Zemel - Bog - Springer Nature Switzerland AG - Plusbog.dk

An Invitation to Statistics in Wasserstein Space - Yoav Zemel - Bog - Springer Nature Switzerland AG - Plusbog.dk

This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds). The Wasserstein space provides the natural mathematical formalism to describe data collections that are best modeled as random measures on Euclidean space (e.g. images and point processes). Such random measures carry the infinite dimensional traits of functional data, but are intrinsically nonlinear due to positivity and integrability restrictions. Indeed, their dominating statistical variation arises through random deformations of an underlying template, a theme that is pursued in depth in this monograph.

DKK 205.00
1

An Invitation to Abstract Mathematics - Bela Bajnok - Bog - Springer Nature Switzerland AG - Plusbog.dk

An Invitation to Abstract Mathematics - Bela Bajnok - Bog - Springer Nature Switzerland AG - Plusbog.dk

This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics. Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise. This second editionhas been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. An Invitation to Abstract Mathematics is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts. From reviews of the first edition:Bajnok’s new book truly invites students to enjoy the beauty, power, and challenge of abstract mathematics. … The book can be used as a text for traditional transition or structure courses … but since Bajnok invites all students, not just mathematics majors, to enjoy the subject, he assumes very little background knowledge. Jill Dietz, MAA ReviewsThe style of writing is careful, but joyously enthusiastic…. The author’s clear attitude is that mathematics consists of problem solving, and that writing a proof falls into this category. Students of mathematics are, therefore, engaged in problem solving, and should be given problems to solve, rather than problems to imitate. The author attributes this approach to his Hungarian background … and encourages students to embrace the challenge in the same way an athlete engages in vigorous practice. John Perry, zbMATH

DKK 434.00
1

An Invitation to Abstract Mathematics - Bela Bajnok - Bog - Springer Nature Switzerland AG - Plusbog.dk

An Invitation to Abstract Mathematics - Bela Bajnok - Bog - Springer Nature Switzerland AG - Plusbog.dk

This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics. Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise. This second editionhas been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. An Invitation to Abstract Mathematics is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts. From reviews of the first edition:Bajnok’s new book truly invites students to enjoy the beauty, power, and challenge of abstract mathematics. … The book can be used as a text for traditional transition or structure courses … but since Bajnok invites all students, not just mathematics majors, to enjoy the subject, he assumes very little background knowledge. Jill Dietz, MAA ReviewsThe style of writing is careful, but joyously enthusiastic…. The author’s clear attitude is that mathematics consists of problem solving, and that writing a proof falls into this category. Students of mathematics are, therefore, engaged in problem solving, and should be given problems to solve, rather than problems to imitate. The author attributes this approach to his Hungarian background … and encourages students to embrace the challenge in the same way an athlete engages in vigorous practice. John Perry, zbMATH

DKK 434.00
1

An Invitation to Geomathematics - Willi Freeden - Bog - Springer Nature Switzerland AG - Plusbog.dk

An Invitation to Geomathematics - Willi Freeden - Bog - Springer Nature Switzerland AG - Plusbog.dk

The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of geomathematics is outlined from different points of view and its challenging nature is described as well as its interdisciplinarity. Geomathematics is shown as the bridge between the real world and the virtual world. The complex mathematical tools are shown from a variety of fields necessary to tackle geoscientific problems in the mathematical language. Chapter 3 contains some exemplary applications as novel exploration methods. Particular importance is laid on the change of language when it comes to translate measurements to mathematical models. New solution methods like the multiscale mollifier technique are presented. Further applications discussed are aspects of reflection seismics. Chapter 4 is devoted to the short description of recent activities in geomathematics. The Appendix (Chapter 5) is devoted to the GEM - International Journal on Geomathematics founded ten years ago. Besides a detailed structural analysis of the editorial goals an index of all papers published in former issues is given.

DKK 476.00
1

An Invitation to Mathematical Physics and Its History - Jont Allen - Bog - Springer Nature Switzerland AG - Plusbog.dk

An Invitation to Mathematical Physics and Its History - Jont Allen - Bog - Springer Nature Switzerland AG - Plusbog.dk

This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work. The book covers the concepts of number systems, algebra equations and calculus through discussions on mathematics and physics, discussing their intertwined history in a chronological order. The book includes examples, homework problems, and exercises. This book can be used to teach a first course in engineering mathematics or as a refresher on basic mathematical physics. Besides serving as core textbook, this book will also appeal to undergraduate students with cross-disciplinary interests as a supplementary text or reader.

DKK 646.00
1

Past Human Rights Violations and the Question of Indifference: The Case of Chile - Hugo Rojas - Bog - Springer Nature Switzerland AG - Plusbog.dk

Past Human Rights Violations and the Question of Indifference: The Case of Chile - Hugo Rojas - Bog - Springer Nature Switzerland AG - Plusbog.dk

This book contributes to the fields of memory and human rights. It offers a novel and interdisciplinary theory on social indifference, and in particular on the indifference of people to human rights violations committed against certain sectors of society in turbulent times. These theoretical frameworks are explored empirically with respect to the Chilean case. Through a blend of mixed methods, the book explains the causes, characteristics and social consequences of the current indifference of Chileans with respect to the human rights violations committed during the dictatorship of Augusto Pinochet (1973-90). The different findings are an invitation to rethink new challenges of transitional justice processes in fragmented societies and to strengthen public policies on human rights.

DKK 816.00
1

Cultural Studies in the Classroom and Beyond - - Bog - Springer Nature Switzerland AG - Plusbog.dk

Cultural Studies in the Classroom and Beyond - - Bog - Springer Nature Switzerland AG - Plusbog.dk

This edited volume seeks to combine and highlight the theoretical and practical aspects of teaching by exploring and reflecting on the ways in which Cultural Studies is taught and practiced at both the undergraduate and graduate levels, in the US and internationally. Contributors create a space where connections among Cultural Studies practitioners across generations and locations are formed. Because the alliances built by Cultural Studies practitioners in the U.S. and the global north are deeply shaped by the global south/Third World perspectives, this book extends an invitation to teachers and practitioners in and outside of the US, including those who may offer a transnational perspective on teaching and practicing Cultural Studies. This volume promises to be a trailblazing collection of first-rate essays by leading and emerging figures in the field of Cultural Studies.

DKK 731.00
1

Cultural Studies in the Classroom and Beyond - - Bog - Springer Nature Switzerland AG - Plusbog.dk

Cultural Studies in the Classroom and Beyond - - Bog - Springer Nature Switzerland AG - Plusbog.dk

This edited volume seeks to combine and highlight the theoretical and practical aspects of teaching by exploring and reflecting on the ways in which Cultural Studies is taught and practiced at both the undergraduate and graduate levels, in the US and internationally. Contributors create a space where connections among Cultural Studies practitioners across generations and locations are formed. Because the alliances built by Cultural Studies practitioners in the U.S. and the global north are deeply shaped by the global south/Third World perspectives, this book extends an invitation to teachers and practitioners in and outside of the US, including those who may offer a transnational perspective on teaching and practicing Cultural Studies. This volume promises to be a trailblazing collection of first-rate essays by leading and emerging figures in the field of Cultural Studies.

DKK 519.00
1

Performing Complexity: Building Foundations for the Practice of Complex Thinking - Ana Teixeira De Melo - Bog - Springer Nature Switzerland AG -

Performing Complexity: Building Foundations for the Practice of Complex Thinking - Ana Teixeira De Melo - Bog - Springer Nature Switzerland AG -

In the face of growing challenges, we need modes of thinking that allow us to not only grasp complexity but also perform it. In this book, the author approaches complexity from the standpoint of a relational worldview. The author recasts complex thinking as a mode of coupling between an observer and the world. Further, she explores the process and outcome of that coupling, namely, meaningful information that may have transformative effects and impact the management of change in the ''real world''. The author presents a new framework for operationalising complex thinking in a set of dimensions and properties through which it may be enacted. This framework may inform the development and coordination of new tools and strategies to support the practice and evaluation of complex thinking across a variety of domains. Intended for a wide interdisciplinary audience of academics, practitioners and policymakers alike, the book is an invitation to pursue inter- and transdisciplinary dialogues and collaborations.

DKK 476.00
1

Postcolonial Constructivism - Seifudein Adem - Bog - Springer Nature Switzerland AG - Plusbog.dk

Postcolonial Constructivism - Seifudein Adem - Bog - Springer Nature Switzerland AG - Plusbog.dk

This book introduces Ali Mazrui''s delightfully stimulating scholarship about intercultural relations, calling it Postcolonial Constructivism , and shares elements of his intellectual vitality in an original way. It begins with a chronicle of Mazrui''s eventful, sixty-year journey as a scholar of International Relations. It then proceeds to present some of the most remarkable yet least remarked up on features of his intellectualism, including his paradoxes, his perceptive typologies, his neologisms as well as his interactions with historical figures. The book draws on materials which were either unavailable until now or were found scattered in time and space. Designed as an invitation to a wider audience to the supermarket of Mazrui''s ideas, this book also seeks to underscore the timeliness and possible durability of many of his observations about intercultural relations.Thorough, comprehensive and up-to-date, this book is a concise account of the core of Mazrui''s vast body of work.

DKK 646.00
1

Philosophical Presentations of Raising Children - Stefan Ramaekers - Bog - Springer Nature Switzerland AG - Plusbog.dk

Philosophical Presentations of Raising Children - Stefan Ramaekers - Bog - Springer Nature Switzerland AG - Plusbog.dk

This book uses contemporary film to articulate a philosophical account of raising children. It forms part of a revaluation of the parent as a pedagogical figure, which stands in contrast to the instrumental accounts dominant in contemporary ''parenting'' culture. Hodgson and Ramaekers use film in order to offer an affirmative account of the experience of raising children, as a presentation of those inevitable aspects and experiences that upbringing is: the initiation into language and the world; the representative nature of the parent; and the maintaining of mundane practices that constitute our shared culture and community. The films which are discussed are taken as grammatical investigations and enable the authors to develop an account of the use of film in education and as educational philosophy, and to respond to each film''s invitation to articulate the existential dimensions of raising children. Philosophical Presentations of Raising Children will be of interest to students and scholars across a range of disciplines, including education, sociology, philosophy, critical parenting studies and film studies.

DKK 434.00
1

Charles Darwin's Incomplete Revolution - Richard G. Delisle - Bog - Springer Nature Switzerland AG - Plusbog.dk

Charles Darwin's Incomplete Revolution - Richard G. Delisle - Bog - Springer Nature Switzerland AG - Plusbog.dk

This book offers a thorough reanalysis of Charles Darwin''s Origin of Species, which for many people represents the work that alone gave rise to evolutionism. Of course, scholars today know better than that. Yet, few resist the temptation of turning to the Origin in order to support it or reject it in light of their own work. Apparently, Darwin fills the mythical role of a founding figure that must either be invoked or repudiated. The book is an invitation to move beyond what is currently expected of Darwin''s magnum opus. Once the rhetorical varnish of Darwin''s discourses is removed, one discovers a work of remarkably indecisive conclusions. The book comprises two main theses: (1) The Origin of Species never remotely achieved the theoretical unity to which it is often credited. Rather, Darwin was overwhelmed by a host of phenomena that could not fit into his narrow conceptual framework. (2) In the Origin of Species, Darwin failed at completing the full conversion to evolutionism. Carrying many ill-designed intellectual tools of the 17th and 18th centuries, Darwin merely promoted a special brand of evolutionism, one that prevented him from taking the decisive steps toward an open and modern evolutionism. It makes an interesting read for biologists, historians and philosophers alike.

DKK 901.00
1

Home - Lived Experiences - - Bog - Springer Nature Switzerland AG - Plusbog.dk

Home - Lived Experiences - - Bog - Springer Nature Switzerland AG - Plusbog.dk

This book explores the lived experience of being at home as well as being homeless. Being at home or not is typically a matter of being at a place or not, where such a place is carved out of space and designated as such. It is a place that is both empirical and trans-empirical. When one is at home or not at home, one typically has in mind an inhabited place. To inhabit or not to inhabit it is to find oneself in a place that has an affective presence or absence. In either case, affectivity points to a lived place where lived experience is constituted and displayed. Thus, in this context, affectivity becomes more than the subject of empirical psychology. If psychology were to have access, it would be in the context of phenomenological or existential psychology - a psychology that has its roots in the sensible world and, hence, a psychology that expresses an aesthetic dimension. Each of the contributors in this book extends an invitation to the readers to participate in constituting, extending, and sharing with others the sense of either being at home or of being homeless. This book appeals to students, researchers as well as general interest readers.

DKK 986.00
1

American Literature in the Era of Trumpism - - Bog - Springer Nature Switzerland AG - Plusbog.dk

American Literature in the Era of Trumpism - - Bog - Springer Nature Switzerland AG - Plusbog.dk

This edited collection offers an exploration of American literature in the age of Trumpism-understood as an ongoing sociopolitical and affective reality-by bringing together analyses of some of the ways in which American writers have responded to the derealization of political culture in the United States and the experience of a ''new'' American reality after 2016. The volume''s premise is that the disruptions and dislocations that were so exacerbated by the political ascendancy of Trump and his spectacle-laden presidency have unsettled core assumptions about American reality and the possibilities of representation. The blurring of the relationship between fact and fiction, bolstered by the discourses of ''fake news'' and ''alternative facts,'' has not only drawn attention to the shattering of any notion of ''shared'' reality, but has also forced a reexamination of the purpose and value of literature, especially when considering its troubled relation to the representation of ''America.'' The authors in this collection respond to the invitation to reassess the workings of fiction and critique in an age of Trumpism by considering some of the most recent literary responses to the (new) American realit(ies)-including works by Colson Whitehead, Ben Winters, Claudia Rankine, Gary Shteyngart, Jennifer Egan, and Steve Erickson, to name but a few-, some of which were composed in the run-up to the 2016 election but were able to accurately and incisively imagine the world to come.

DKK 901.00
1

Sharpening Mathematical Analysis Skills - Ovidiu Furdui - Bog - Springer Nature Switzerland AG - Plusbog.dk

Sharpening Mathematical Analysis Skills - Ovidiu Furdui - Bog - Springer Nature Switzerland AG - Plusbog.dk

This book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with an increasing level of difficulty. Problems are designed to encourage creativity, and some of them were especially crafted to lead to open problems which might be of interest for students seeking motivation to get a start in research. The sets of problems are comprised in Part I. The exercises are arranged on topics, many of them being preceded by supporting theory. Content starts with limits, series of real numbers and power series, extending to derivatives and their applications, partial derivatives and implicit functions. Difficult problems have been structured in parts, helping the reader to find a solution. Challenges and open problems are scattered throughout the text, being an invitation to discover new original methods for proving known results and establishing new ones. The final two chapters offer ambitious readers splendid problems and two new proofs of a famous quadratic series involving harmonic numbers. In Part II, the reader will find solutions to the proposed exercises. Undergraduate students in mathematics, physics and engineering, seeking to strengthen their skills in analysis, will most benefit from this work, along with instructors involved in math contests, individuals who want to enrich and test their knowledge in analysis, and anyone willing to explore the standard topics of mathematical analysis in ways that aren''t commonly seen in regular textbooks.

DKK 434.00
1