Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
ISBN: 1470415224
Category : Mathematics
Languages : en
Pages : 212
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Book Description
A polytope exchange transformation is a (discontinuous) map from a polytope to itself that is a translation wherever it is defined. The 1-dimensional examples, interval exchange transformations, have been studied fruitfully for many years and have deep connections to other areas of mathematics, such as Teichmüller theory. This book introduces a general method for constructing polytope exchange transformations in higher dimensions and then studies the simplest example of the construction in detail. The simplest case is a 1-parameter family of polygon exchange transformations that turns out to be closely related to outer billiards on semi-regular octagons. The 1-parameter family admits a complete renormalization scheme, and this structure allows for a fairly complete analysis both of the system and of outer billiards on semi-regular octagons. The material in this book was discovered through computer experimentation. On the other hand, the proofs are traditional, except for a few rigorous computer-assisted calculations.
Author: Hilda Kean
Publisher: Routledge
ISBN: 0429889240
Category : History
Languages : en
Pages : 560
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Book Description
The Routledge Companion to Animal-Human History provides an up-to-date guide for the historian working within the growing field of animal-human history. Giving a sense of the diversity and interdisciplinary nature of the field, cutting-edge contributions explore the practices of and challenges posed by historical studies of animals and animal-human relationships. Divided into three parts, the Companion takes both a theoretical and practical approach to a field that is emerging as a prominent area of study. Animals and the Practice of History considers established practices of history, such as political history, public history and cultural memory, and how animal-human history can contribute to them. Problems and Paradigms identifies key historiographical issues to the field with contributors considering the challenges posed by topics such as agency, literature, art and emotional attachment. The final section, Themes and Provocations, looks at larger themes within the history of animal-human relationships in more depth, with contributions covering topics that include breeding, war, hunting and eating. As it is increasingly recognised that nonhuman actors have contributed to the making of history, The Routledge Companion to Animal-Human History provides a timely and important contribution to the scholarship on animal-human history and surrounding debates.
Author: Sandra Helene Straub
Publisher: Routledge
ISBN: 1351853953
Category : Psychology
Languages : en
Pages : 164
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Book Description
In "Pet Death", Dr. Straub addresses issues and feelings commonly encountered after the death of a pet. Practical guidelines are provided for coping with feelings of loss and sorrow. Many questions arise from the difficult topic of euthanasia, and in this book, the medical aspect of this procedure is explained in plain language. "Are your other pets grieving?" and "Should I get another pet right away?" are other questions addressed. Dr. Straub and others openly share their personal accounts of pet loss.
Author: Thomas S. Muir
Publisher:
ISBN:
Category :
Languages : en
Pages : 68
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Book Description
Author: Team Prabhat
Publisher: Prabhat Prakashan
ISBN: 9390906695
Category : Study Aids
Languages : en
Pages : 573
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Book Description
The Present Edition of “UPSSSC PET GROUP-C” has been carefully prepared to serve as a Complete Study Guide/Solved Papers for those aspirants who are preparing for UPSSSC PET (Preliminary Eligibility Test Group-C) conducted by Uttar Pradesh Subordinate Services Selection Commission. -This book contains Solved Papers of 2022 & 2021 including Shift 1& 2. -The subjects are arranged exactly as per the latest syllabus and pattern, to make it 100% convenient for the candidates. -This book gives you an idea of the questions asked in previous years' exams, and also what type of questions you should expect in the upcoming exam. -To summarize, this book serves as an ideal revision source for all candidates who are aspiring for different posts in UPSSSC PET GROUP-C such as Junior Assistant, Stenographer, Clerk, Forest Guard, Junior Engineer, Lekhpal, Boring Technician, Computer Operator, etc. Topics to be covered Indian History Geography Indian Economy Indian Constitution & Public Administration General Science Elementary Arithmetic Samanya Hindi General English Logic & Reasoning General Awareness Graphs & Tables Highlights of the book Analyzing the pattern of examination Practices Sets are a collection of useful exam questions Answers with explanations are available for all questions According to the prescribe syllabus and exam pattern
Author: Christopher L. Douglas
Publisher: American Mathematical Soc.
ISBN: 1470418843
Category : Mathematics
Languages : en
Pages : 318
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Book Description
The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebraic topology, particularly stable homotopy theory. It has applications to and connections with manifold topology, number theory, and string theory. This book provides a careful, accessible introduction to topological modular forms. After a brief history and an extended overview of the subject, the book proper commences with an exposition of classical aspects of elliptic cohomology, including background material on elliptic curves and modular forms, a description of the moduli stack of elliptic curves, an explanation of the exact functor theorem for constructing cohomology theories, and an exploration of sheaves in stable homotopy theory. There follows a treatment of more specialized topics, including localization of spectra, the deformation theory of formal groups, and Goerss-Hopkins obstruction theory for multiplicative structures on spectra. The book then proceeds to more advanced material, including discussions of the string orientation, the sheaf of spectra on the moduli stack of elliptic curves, the homotopy of topological modular forms, and an extensive account of the construction of the spectrum of topological modular forms. The book concludes with the three original, pioneering and enormously influential manuscripts on the subject, by Hopkins, Miller, and Mahowald.
Author: Charlotte Hardouin
Publisher: American Mathematical Soc.
ISBN: 1470426552
Category : Difference and functional equations -- Difference equations -- Linear equations
Languages : en
Pages : 171
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Book Description
This book is a collection of three introductory tutorials coming out of three courses given at the CIMPA Research School “Galois Theory of Difference Equations” in Santa Marta, Columbia, July 23–August 1, 2012. The aim of these tutorials is to introduce the reader to three Galois theories of linear difference equations and their interrelations. Each of the three articles addresses a different galoisian aspect of linear difference equations. The authors motivate and give elementary examples of the basic ideas and techniques, providing the reader with an entry to current research. In addition each article contains an extensive bibliography that includes recent papers; the authors have provided pointers to these articles allowing the interested reader to explore further.
Author: Ruy Exel
Publisher: American Mathematical Soc.
ISBN: 1470437856
Category : Banach spaces
Languages : en
Pages : 321
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Book Description
Partial dynamical systems, originally developed as a tool to study algebras of operators in Hilbert spaces, has recently become an important branch of algebra. Its most powerful results allow for understanding structural properties of algebras, both in the purely algebraic and in the C*-contexts, in terms of the dynamical properties of certain systems which are often hiding behind algebraic structures. The first indication that the study of an algebra using partial dynamical systems may be helpful is the presence of a grading. While the usual theory of graded algebras often requires gradings to be saturated, the theory of partial dynamical systems is especially well suited to treat nonsaturated graded algebras which are in fact the source of the notion of “partiality”. One of the main results of the book states that every graded algebra satisfying suitable conditions may be reconstructed from a partial dynamical system via a process called the partial crossed product. Running in parallel with partial dynamical systems, partial representations of groups are also presented and studied in depth. In addition to presenting main theoretical results, several specific examples are analyzed, including Wiener–Hopf algebras and graph C*-algebras.
Author: Tushar Das
Publisher: American Mathematical Soc.
ISBN: 1470434652
Category : Geometry, Hyperbolic
Languages : en
Pages : 281
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Book Description
This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.
Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
ISBN: 1470435144
Category : Dynamical systems and ergodic theory
Languages : en
Pages : 196
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Book Description
This book introduces a simple dynamical model for a planar heat map that is invariant under projective transformations. The map is defined by iterating a polygon map, where one starts with a finite planar -gon and produces a new -gon by a prescribed geometric construction. One of the appeals of the topic of this book is the simplicity of the construction that yet leads to deep and far reaching mathematics. To construct the projective heat map, the author modifies the classical affine invariant midpoint map, which takes a polygon to a new polygon whose vertices are the midpoints of the original. The author provides useful background which makes this book accessible to a beginning graduate student or advanced undergraduate as well as researchers approaching this subject from other fields of specialty. The book includes many illustrations, and there is also a companion computer program.
