الصفحة 234
الصفحة 234
A First Course in Modular Forms
This book introduces the theory of modular forms with an eye toward the Modularity Theorem: All rational elliptic curves arise from modular forms. The topics covered include: • elliptic curves as complex tori and as algebraic curves, • modular curves as Riemann surfaces and as algebraic curves, • Hecke operators and Atkin–Lehner theory, • Hecke eigenforms and their arithmetic properties, • the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, • elliptic and modular curves modulo p and the Eichler–Shimura Relation, • the Galois representations associated to elliptic curves and to Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory.
A First Course in Harmonic Analysis
This book is a primer in harmonic analysis using an elementary approach. Its first aim is to provide an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Secondly, it makes the reader aware of the fact that both, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The third goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. There are two new chapters in this new edition. One on distributions will complete the set of real variable methods introduced in the first part. The other on the Heisenberg Group provides an example of a group that is neither compact nor abelian, yet is simple enough to easily deduce the Plancherel Theorem.
A first course in differential equations with modeling applications
A comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory.
A First Course in Differential Equations
This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics.
A Field Guide to Algebra
Focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of pi and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The reader will hear about equations, both polynomial and differential, and about the algebraic structure of their solutions. In explaining these concepts, the author also provides comments on their historical development and leads the reader along many interesting paths. In addition, there are theorems from analysis: as stated before, the transcendence of the numbers pi and e, the fact that the complex numbers form an algebraically closed field, and also Puiseux's theorem that shows how one can parametrize the roots of polynomial equations, the coefficients of which are allowed to vary. There are exercises at the end of each chapter, varying in degree from easy to difficult. To make the book more lively, the author has incorporated pictures from the history of mathematics, including scans of mathematical stamps and pictures of mathematicians.
A Fair Share of Tax : A Fiscal Anthropology of Contemporary Sweden
Takes a taxpayer's perspective to the relations taxation creates between people and their state. Larsen proposes that in order to understand tax compliance and cheating, we have to look beyond law, psychological experiments and surveys to include tax collectors and taxpayers' practices. The text explores the view of taxes seen as citizen’s explicit economic relation to the state and implicit economic relation to all other compatriots. Larsen suggests how to build and increase tax compliance if we take the idea of taxation creating reciprocal relations seriously.
A Dressing Method in Mathematical Physics
The monograph is devoted to the systematic presentation of the so called "dressing method" for solving differential equations (both linear and nonlinear) of mathematical physics. The essence of the dressing method consists in a generation of new non-trivial solutions of a given equation from (maybe trivial) solution of the same or related equation.
A Distributed Coordination Approach to Reconfigurable Process Control
A Distributed Coordination Approach to Reconfigurable Process Control presents research that addresses this critical question, via developing a new distributed framework that will enable the building of a process control system that is capable of reconfigurability.
A Dictionary of World History
This wide-ranging dictionary contains a wealth of information on all aspects of history, from prehistory right up to the present day. Accessible, clear, and concise entries include biographies of key figures in world history (living and dead), separate entries for every country in the world (summarising key historical events), and in-depth entries on religious and political movements, international organizations, and major conflicts and events and their after-effects.
A Dictionary of Public Health
This dictionary covers terms used in public health science and practice, including areas such as communicable disease control, epidemiology, genetics, nutrition, toxicology, social work, sanitation and public health engineering, environmental sciences, and administration. It offers definitions, discussion, and an occasional brief commentary on the relevance of each term to people and their health.
A Dictionary of Neurological Signs
The Dictionary is not a handbook for treatment of neuropathies. While many entries provide the latest treatment options, up-to-the-minute therapies are not discussed in bedside level detail. The Dictionary is not a board review book because it is not in Q&A format but could easily serve in that capacity since each entry is a fairly complete snapshot of a specific disorder or disease. The Dictionary is an alphabetical listing of commonly presenting neurological diseases and disorders designed to guide the physician toward the correct clinical diagnosis. The content is focused, problem-based, concise and practical.
A dictionary of law
A Dictionary of Law' is an essential reference work, described by leading university lecturers as 'the best law dictionary' and favoured by law students and legal professionals alike. The tenth edition features over 4,900 clear and concise definitions on major terms, concepts, and processes within the English legal system, and is a useful source of information for any of the many countries that base their legal system on English law.
A Dictionary of Electronics and Electrical Engineering
This popular dictionary, formerly published as the Penguin Dictionary of Electronics, has been extensively revised and updated, providing clear, concise, and jargon-free A-Z entries on key terms, theories, and practices in the areas of electronics and electrical science. Topics covered include circuits, power, systems, magnetic devices, control theory, communications, signal processing, and telecommunications, together with coverage of applications areas such as image processing, storage, and electronic materials.
A Dictionary of Construction, Surveying and Civil Engineering
Covers the key areas of civil and construction engineering, construction technology and practice, construction management techniques and processes, as well as legal aspects such as contracts and procurement. It has been updated with more than 600 new entries spanning subjects such as sustainability, new technologies, disaster management, and building software. New additions include terms such as Air source heat pump, hydraulic failure, mechanical ventilation with heat recovery, off-site construction, predictive performance, sustainable development, and value engineering.
A Dictionary of Biomedicine
A Dictionary of Biomedicine fills the need to define the specialist language used within an evolving field by offering clear, concise definitions of even the most complex biomedical terms. It includes more than 10,000 A-Z entries on all areas of biomedicine, such as genomics and biomedical science. Entries are authoritative and wide-ranging, covering terms from the related areas of anatomy, genetics, molecular bioscience, pathology, pharmacology, and clinical medicine.
A Demographic Perspective on Gender, Family and Health in Europe
Examines the triangle between family, gender, and health in Europe from a demographic perspective. It helps to understand patterns and trends in each of the three components separately, as well as their interdependencies. It overcomes the widely observable specialization in demographic research, which usually involves researchers studying either family or fertility processes or focusing on health and mortality.
A Customer-oriented Manager for B2B Services : Principles and Implementation
A Customer-oriented Manager for B2B Services provides managers with the knowledge and tools necessary to implement customer orientation themselves, with the involvement of their extended team. To this end, this book presents a four-step approach: understand the fundamentals of customer orientation in B2B services, know the customer, make the most of the offer and deliver the service.
A Course on Mathematical Logic
This is a short, distinctive, modern, and motivated introduction to mathematical logic for senior undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached like a branch of mathematics. Serious efforts have been made to make the book suitable for the classroom as well as for self-reading. The book does not strive to be a comprehensive encyclopedia of logic. Still, it gives essentially all the basic concepts and results in mathematical logic. The book prepares students to branch out in several areas of mathematics related to foundations and computability such as logic, axiomatic set theory, model theory, recursion theory, and computability.
A Course in Microeconomic Theory
Offers a treatment of microeconomic theory - one that stresses the behavior of the individual actor in various institutional settings. This book begins with an exposition of the standard models of choice and the market. It is designed for the first-year graduate microeconomic theory course and is accessible to advanced undergraduates as well.
A Course in Enumeration
Leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject.
