Download or read book Following Forms Following Functions written by Federica Pau and published by Cambridge Scholars Publishing. This book was released on 2018-07-27 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of collected essays is devoted to the analysis of the relationship between form and function, two concepts that have played, and continue to play, an important role in several disciplines, from philosophical reflection to theoretical biology, and from the discourses related to art, image and design to cultural anthropology. As such, this book explores the influence of these two notions in such a broad disciplinary field, in order to draw out an original global overview on the subject. For this purpose, it presents contributions by aestheticians, art historians, archaeologists, ethnoanthropologists, and morphologists, covering a wide chronological span, from Ancient Greece to the Middle Ages, and from Modernism to more recent events that still need to be historicized.
Download or read book Modular Forms written by Robert Alexander Rankin and published by . This book was released on 1984 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced R written by Hadley Wickham and published by CRC Press. This book was released on 2015-09-15 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Essential Reference for Intermediate and Advanced R Programmers Advanced R presents useful tools and techniques for attacking many types of R programming problems, helping you avoid mistakes and dead ends. With more than ten years of experience programming in R, the author illustrates the elegance, beauty, and flexibility at the heart of R. The book develops the necessary skills to produce quality code that can be used in a variety of circumstances. You will learn: The fundamentals of R, including standard data types and functions Functional programming as a useful framework for solving wide classes of problems The positives and negatives of metaprogramming How to write fast, memory-efficient code This book not only helps current R users become R programmers but also shows existing programmers what’s special about R. Intermediate R programmers can dive deeper into R and learn new strategies for solving diverse problems while programmers from other languages can learn the details of R and understand why R works the way it does.
Download or read book Form and Functions in English Grammar written by Ludmila Veselovská and published by Univerzita Palackého v Olomouci. This book was released on 2019-05-21 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph illustrates the language specific realization of plausibly universal principles of language structure. The study attempts to cover the most basic (regular) parts of English grammar as a whole consistently, within a single compatible framework, but at the same time to present empirically based arguments in favour of specific analyses. She utilizes as often as possible standard scientific argumentation leading to the most generally accepted and best supported analysis of the chosen phenomena. The study is intended for Czech academic audience and therefore it also contains several typologically relevant comparison of English and Czech structures.
Download or read book Elliptic Curves Modular Forms and Their L functions written by Álvaro Lozano-Robledo and published by American Mathematical Soc.. This book was released on 2011 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in number theory have simple statements, but their solutions require a deep understanding of algebra, algebraic geometry, complex analysis, group representations, or a combination of all four. The original simply stated problem can be obscured in the depth of the theory developed to understand it. This book is an introduction to some of these problems, and an overview of the theories used nowadays to attack them, presented so that the number theory is always at the forefront of the discussion. Lozano-Robledo gives an introductory survey of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among these three families of mathematical objects and their meaning for number theory. As a case in point, Lozano-Robledo explains the modularity theorem and its famous consequence, Fermat's Last Theorem. He also discusses the Birch and Swinnerton-Dyer Conjecture and other modern conjectures. The book begins with some motivating problems and includes numerous concrete examples throughout the text, often involving actual numbers, such as 3, 4, 5, $\frac{3344161}{747348}$, and $\frac{2244035177043369699245575130906674863160948472041} {8912332268928859588025535178967163570016480830}$. The theories of elliptic curves, modular forms, and $L$-functions are too vast to be covered in a single volume, and their proofs are outside the scope of the undergraduate curriculum. However, the primary objects of study, the statements of the main theorems, and their corollaries are within the grasp of advanced undergraduates. This book concentrates on motivating the definitions, explaining the statements of the theorems and conjectures, making connections, and providing lots of examples, rather than dwelling on the hard proofs. The book succeeds if, after reading the text, students feel compelled to study elliptic curves and modular forms in all their glory.
Download or read book College Algebra written by Jay Abramson and published by . This book was released on 2018-01-07 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory
Download or read book Classical Form written by William E. Caplin and published by Oxford University Press. This book was released on 2000-12-28 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on ideas first advanced by Arnold Schoenberg and later developed by Erwin Ratz, this book introduces a new theory of form for instrumental music in the classical style. The theory provides a broad set of principles and a comprehensive methodology for the analysis of classical form, from individual ideas, phrases, and themes to the large-scale organization of complete movements. It emphasizes the notion of formal function, that is, the specific role a given formal unit plays in the structural organization of a classical work.
Download or read book Reflexives written by Zygmunt Frajzyngier and published by John Benjamins Publishing. This book was released on 2000-03-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of reflexive markers in the study of language structure cannot be underestimated: they participate in the coding of the argument structure of a clause; in the coding of semantic relations between arguments and verbs; in the coding of the relationship between arguments; in the coding of aspect; in the coding of point of view; and in the Coding of the information structure of a clause. The present volume offers an approach to reflexive forms and functions from several perspectives: a formal approach where reflexives are discussed within a well-defined model of language representation; a typological approach; a historical approach concentrating on grammaticalization of reflexives and on the changes that pronouns and anaphors undergo; and a functionalist approach where functions of reflexive forms are described. The languages from which data were drawn represent a wide variety of language families and language types: English, Old English, Dutch, German, Tsakhur (Nakh-Dagestanian), Spanish, French, Bantu and Chadic languages. The variety of languages discussed and the different approaches taken complement each other in that each contributes an important piece to the understanding of reflexives in a cross-linguistic perspective.
Download or read book Automorphic Forms Representations and L Functions written by Armand Borel and published by American Mathematical Soc.. This book was released on 1979-06-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Download or read book Anatomy Physiology written by Lindsay Biga and published by . This book was released on 2019-09-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A version of the OpenStax text
Download or read book Automorphic Forms and L Functions for the Group GL n R written by Dorian Goldfeld and published by Cambridge University Press. This book was released on 2006-08-03 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.
Download or read book Normal Forms Melnikov Functions and Bifurcations of Limit Cycles written by Maoan Han and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has been studied for more than half a century, and normal form theory for over 100 years, efficient computation in this area is still a challenge with implications for Hilbert’s 16th problem. This book introduces the most recent developments in this field and provides major advances in fundamental theory of limit cycles. Split into two parts, the first focuses on the study of limit cycles bifurcating from Hopf singularity using normal form theory with later application to Hilbert’s 16th problem, while the second considers near Hamiltonian systems using Melnikov function as the main mathematical tool. Classic topics with new results are presented in a clear and concise manner and are accompanied by the liberal use of illustrations throughout. Containing a wealth of examples and structured algorithms that are treated in detail, a good balance between theoretical and applied topics is demonstrated. By including complete Maple programs within the text, this book also enables the reader to reconstruct the majority of formulas provided, facilitating the use of concrete models for study. Through the adoption of an elementary and practical approach, this book will be of use to graduate mathematics students wishing to study the theory of limit cycles as well as scientists, across a number of disciplines, with an interest in the applications of periodic behavior.
Download or read book Theta Functions written by Jun-ichi Igusa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of theta functions has a long history; for this, we refer A. Krazer and W. Wirtinger the reader to an encyclopedia article by ("Sources" [9]). We shall restrict ourselves to postwar, i. e., after 1945, periods. Around 1948/49, F. Conforto, c. L. Siegel, A. Well reconsidered the main existence theorems of theta functions and found natural proofs for them. These are contained in Conforto: Abelsche Funktionen und algebraische Geometrie, Springer (1956); Siegel: Analytic functions of several complex variables, Lect. Notes, I.A.S. (1948/49); Well: Theoremes fondamentaux de la theorie des fonctions theta, Sem. Bourbaki, No. 16 (1949). The complete account of Weil's method appeared in his book of 1958 [20]. The next important achievement was the theory of compacti fication of the quotient variety of Siegel's upper-half space by a modular group. There are many ways to compactify the quotient variety; we are talking about what might be called a standard compactification. Such a compactification was obtained first as a Hausdorff space by I. Satake in "On the compactification of the Siegel space", J. Ind. Math. Soc. 20, 259-281 (1956), and as a normal projective variety by W.L. Baily in 1958 [1]. In 1957/58, H. Cartan took up this theory in his seminar [3]; it was shown that the graded ring of modular forms relative to the given modular group is a normal integral domain which is finitely generated over C
Download or read book The Galapagos Islands written by Charles Darwin and published by Penguin Group. This book was released on 1996 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Integral Theorems for Functions and Differential Forms in C m written by Reynaldo Rocha-Chavez and published by CRC Press. This book was released on 2001-08-03 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures, ideas, relations, and applications. This deepening of knowledge, however, has also revealed more
Download or read book Greening Cities written by Puay Yok Tan and published by Springer. This book was released on 2017-03-29 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an overview of recent scientific and professional literature on urban greening and urban ecology, focusing on diverse disciplines such as landscape architecture, geography, urban ecology, urban climatology, biodiversity conservation, urban governance, architecture and urban hydrology. It includes contributions in which academics, public policy experts and practitioners share their considerable knowledge on the multi-faceted aspects of greening cities. The greening of cities has witnessed a global resurgence over the past two decades and has made a significant contribution to urban liveability and sustainability, as well as increasing resilience. As urban greening efforts continue to expand, it is useful to promote recent advances in our understanding of various aspects of planning, design and management of urban greenery, but at the same time, it is also important to realize that there are important gaps in our knowledge and that further research is needed. The book is organized in three main parts: concepts, functions and forms of urban greening. The first part examines the historical roots of greening cities and how the burgeoning field of urban ecology can contribute useful principles and strategies to guide the planning, design and management of urban greening. The second part shifts the focus to the diverse range of services – the functions – provided by urban greening, such as those related to urban climate, urban biodiversity, human health, and community building. The final part explores conventional, often neglected, but important forms of urban greenery such as urban woodlands and urban farms, as well as relatively recent forms of urban greenery like those integrated with buildings and waterways. It offers a ready reference resource for researchers, practitioners and policy-makers to grasp the critical issues and trigger further studies and applications in the quest for high-performance green cities.
