David E Over's Books

Town and Country Planning in the UK

By: Vincent Nadin,Trevor Hart,Simin Davoudi,David Webb,Geoff Vigar,John Pendlebury,Tim Townshend

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Town and Country Planning in the UK

By: Vincent Nadin,Trevor Hart,Simin Davoudi,David Webb,Geoff Vigar,John Pendlebury,Tim Townshend

Town and country planning has never been more important to the UK, nor more prominent in national debate. Planning generates great controversy: whether it’s spending £80m and four years’ inquiry into Heathrow’s Terminal 5, or the 200 proposed wind turbines in the Shetland Isles. On a smaller scale telecoms masts, take-aways, house extensions, and even fences are often the cause of local conflict. Town and Country Planning in the UK has been extensively revised by a new author group. This 15th Edition incorporates the major changes to planning introduced by the coalition government elected in 2010, particularly through the National Planning Policy Framework and associated practice guidance and the Localism Act. It provides a critical discussion of the systems of planning, the procedures for managing development and land use change, and the mechanisms for implementing policy and proposals. It reviews current policy for sustainable development and the associated economic, social and environmental themes relevant to planning in both urban and rural contexts. Contemporary arrangements are explained with reference to their historical development, the influence of the European Union, the roles of central and local government, and developing social and economic demands for land use change. Detailed consideration is given to • the nature of planning and its historical evolution • the role of the EU, central, regional and local government • mechanisms for developing policy, and managing these changes • policies for guiding and delivering housing and economic development • sustainable development principles for planning, including pollution control • the importance of design in planning • conserving the heritage • community engagement in planning The many recent changes to the system are explained in detail – the new national planning policy framework; the impact of the loss of the regional tier in planning and of the insertion of neighbourhood level planning; the transition from development control to development management; the continued and growing importance of environmental matters in planning; community engagement; partnership working; changes to planning gain and the introduction of the Community Infrastructure Levy; and new initiatives across a number of other themes. Notes on further reading are provided and at the end of the book there is an extensive bibliography, maintaining its reputation as the ‘bible’ of British planning.

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952

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Routledge

Published Date

ISBN 10

1317585631

ISBN 13

9781317585633

Unto Others

By: Elliott Sober,David Sloan Wilson

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Unto Others

By: Elliott Sober,David Sloan Wilson

No matter what we do, however kind or generous our deeds may seem, a hidden motive of selfishness lurks--or so science has claimed for years. This book, whose publication promises to be a major scientific event, tells us differently. In Unto Others philosopher Elliott Sober and biologist David Sloan Wilson demonstrate once and for all that unselfish behavior is in fact an important feature of both biological and human nature. Their book provides a panoramic view of altruism throughout the animal kingdom--from self-sacrificing parasites to insects that subsume themselves in the superorganism of a colony to the human capacity for selflessness--even as it explains the evolutionary sense of such behavior. Explaining how altruistic behavior can evolve by natural selection, this book finally gives credence to the idea of group selection that was originally proposed by Darwin but denounced as heretical in the 1960s. With their account of this controversy, Sober and Wilson offer a detailed case study of scientific change as well as an indisputable argument for group selection as a legitimate theory in evolutionary biology. Unto Others also takes a novel evolutionary approach in explaining the ultimate psychological motives behind unselfish human behavior. Developing a theory of the proximate mechanisms that most likely evolved to motivate adaptive helping behavior, Sober and Wilson show how people and perhaps other species evolved the capacity to care for others as a goal in itself. A truly interdisciplinary work that blends biology, philosophy, psychology, and anthropology, this book will permanently change not just our view of selfless behavior but also our understanding of many issues in evolutionary biology and the social sciences.

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426

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Harvard University Press

Published Date

ISBN 10

0674930479

ISBN 13

9780674930476

Primes of the Form x2+ny2 : Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions

By: David A. Cox

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Primes of the Form x2+ny2 : Fermat, Class Field Theory, and Complex Multiplication. Third Edition with Solutions

By: David A. Cox

This book studies when a prime p can be written in the form x2+ny2. It begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of quadratic forms. After exploring cubic and biquadratic reciprocity, the pace quickens with the introduction of algebraic number fields and class field theory. This leads to the concept of ring class field and a complete but abstract solution of p=x2+ny2. To make things more concrete, the book introduces complex multiplication and modular functions to give a constructive solution. The book ends with a discussion of elliptic curves and Shimura reciprocity. Along the way the reader will encounter some compelling history and marvelous formulas, together with a complete solution of the class number one problem for imaginary quadratic fields. The book is accessible to readers with modest backgrounds in number theory. In the third edition, the numerous exercises have been thoroughly checked and revised, and as a special feature, complete solutions are included. This makes the book especially attractive to readers who want to get an active knowledge of this wonderful part of mathematics.

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551

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470470284

ISBN 13

9781470470289

The Canonical Ring of a Stacky Curve

By: John Voight,David Zureick-Brown

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The Canonical Ring of a Stacky Curve

By: John Voight,David Zureick-Brown

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142

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American Mathematical Society

Published Date

ISBN 10

1470452286

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9781470452285

Care Management in Social and Primary Health Care

The Gateshead Community Care Scheme

By: David Challis,John Chesterman,Rosemary Luckett,Karen Stewart

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Care Management in Social and Primary Health Care

The Gateshead Community Care Scheme

By: David Challis,John Chesterman,Rosemary Luckett,Karen Stewart

This title was first published in 2003: This book provides an evaluation of the Gateshead Community Care Scheme which was devised as an alternative to residential and hospital care for frail elderly people. An important feature of the scheme was the decentralization of control of resources to individual social workers acting as care managers, with defined caseloads and expenditure limits to ensure accountability. The initial social social care scheme was subsequently extended to provide both health and social care to clients from a large general practice based in a health centre. The social care team was enlarged to include a nurse care manager and part-time doctor and physiotherapist. The study examines the operation of care management in both settings, the use of devolved budgets and services developed, the outcomes for clients and carers and the costs of care. Admissions to residential care were reduced and the elderly people who received the scheme’s support experienced a better quality of care and greater well-being when compared with elderly people receiving the usual range of services. This was achieved at no greater cost. The characteristics of those for whom the scheme was most appropriate are described. In addition, the pattern of development of the scheme as it was incorporated into the mainstream of the Social Services and after the implementation of the NHS and Community Care Act are examined. Final, the implications for the development of care management are considered.

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290

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Routledge

Published Date

ISBN 10

135173346X

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9781351733465

Primes of the Form x2+ny2

Fermat, Class Field Theory, and Complex Multiplication

By: David A. Cox

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Primes of the Form x2+ny2

Fermat, Class Field Theory, and Complex Multiplication

By: David A. Cox

An exciting approach to the history and mathematics of number theory “. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2+ ny2 details the history behind how Pierre de Fermat’s work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication. Primes of the Form p = x2 + ny2, Second Edition focuses on addressing the question of when a prime p is of the form x2 + ny2, which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including: • A well-motivated introduction to the classical formulation of class field theory • Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations • An elementary treatment of quadratic forms and genus theory • Simultaneous treatment of elementary and advanced aspects of number theory • New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography Primes of the Form p = x2 + ny2, Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory.

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418

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118400747

ISBN 13

9781118400746

Basic Structures of Function Field Arithmetic

By: David Goss

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Basic Structures of Function Field Arithmetic

By: David Goss

From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss'clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062

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444

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Springer Science & Business Media

Published Date

ISBN 10

3540635416

ISBN 13

9783540635413

The Atmospheric General Circulation

By: John M. Wallace,David S. Battisti,David W. J. Thompson,Dennis L. Hartmann

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The Atmospheric General Circulation

By: John M. Wallace,David S. Battisti,David W. J. Thompson,Dennis L. Hartmann

An engaging, comprehensive, richly illustrated textbook about the atmospheric general circulation, written by leading researchers in the field. The book elucidates the pervasive role of atmospheric dynamics in the Earth System, interprets the structure and evolution of atmospheric motions across a range of space and time scales in terms of fundamental theoretical principles, and includes relevant historical background and tutorials on research methodology. The book includes over 300 exercises and is accompanied by extensive online resources, including solutions manuals, an animations library, and an introduction to online visualization and analysis tools. This textbook is suitable as a textbook for advanced undergraduate and graduate level courses in atmospheric sciences and geosciences curricula and as a reference textbook for researchers.

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424

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Cambridge University Press

Published Date

ISBN 10

1108660134

ISBN 13

9781108660136

The Red Book of Varieties and Schemes

By: David Mumford

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The Red Book of Varieties and Schemes

By: David Mumford

The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers. Springer-Verlag has done the mathematical community a service by making these notes available once again.... The informal style and frequency of examples make the book an excellent text." (Mathematical Reviews)

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319

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Springer

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ISBN 10

3662215810

ISBN 13

9783662215814

Arithmetic Algebraic Geometry

By: Brian David Conrad

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Arithmetic Algebraic Geometry

By: Brian David Conrad

The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.

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588

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American Mathematical Soc.

ISBN 10

0821886916

ISBN 13

9780821886915

Inverse Scattering and Applications

By: David H. Sattinger

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Inverse Scattering and Applications

By: David H. Sattinger

This book presents papers given at a Conference on Inverse Scattering on the Line, held in June 1990 at the University of Massachusetts, Amherst. A wide variety of topics in inverse problems were covered: inverse scattering problems on the line; inverse problems in higher dimensions; inverse conductivity problems; and numerical methods. In addition, problems from statistical physics were covered, including monodromy problems, quantum inverse scattering, and the Bethe ansatz. One of the aims of the conference was to bring together researchers in a variety of areas of inverse problems which have seen intensive activity in recent years. scattering

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150

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American Mathematical Soc.

Published Date

ISBN 10

0821851292

ISBN 13

9780821851296

3264 and All That

A Second Course in Algebraic Geometry

By: David Eisenbud,Joe Harris

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3264 and All That

A Second Course in Algebraic Geometry

By: David Eisenbud,Joe Harris

This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.

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633

Publisher

Cambridge University Press

Published Date

ISBN 10

1316679381

ISBN 13

9781316679388

Crossed Products of C*-Algebras, Topological Dynamics, and Classification

By: Thierry Giordano,David Kerr,N. Christopher Phillips,Andrew Toms

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Crossed Products of C*-Algebras, Topological Dynamics, and Classification

By: Thierry Giordano,David Kerr,N. Christopher Phillips,Andrew Toms

This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (CRM) in Barcelona. The notes consist of four series of lectures. The first one, given by Andrew Toms, presents the basic properties of the Cuntz semigroup and its role in the classification program of simple, nuclear, separable C*-algebras. The second series of lectures, delivered by N. Christopher Phillips, serves as an introduction to group actions on C*-algebras and their crossed products, with emphasis on the simple case and when the crossed products are classifiable. The third one, given by David Kerr, treats various developments related to measure-theoretic and topological aspects of crossed products, focusing on internal and external approximation concepts, both for groups and C*-algebras. Finally, the last series of lectures, delivered by Thierry Giordano, is devoted to the theory of topological orbit equivalence, with particular attention to the classification of minimal actions by finitely generated abelian groups on the Cantor set.

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494

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Springer

Published Date

ISBN 10

3319708694

ISBN 13

9783319708690

Diophantine Approximation

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000

By: David Masser,Yuri V. Nesterenko,Hans Peter Schlickewei,Wolfgang M. Schmidt,Michel Waldschmidt

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Diophantine Approximation

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000

By: David Masser,Yuri V. Nesterenko,Hans Peter Schlickewei,Wolfgang M. Schmidt,Michel Waldschmidt

Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell’s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V.

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359

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Springer

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ISBN 10

3540449795

ISBN 13

9783540449799

The Evidential Foundations of Probabilistic Reasoning

By: David A. Schum

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The Evidential Foundations of Probabilistic Reasoning

By: David A. Schum

In this work Schum develops a general theory of evidence as it is understood and applied across a broad range of disciplines and practical undertakings. He include insights from law, philosophy, logic, probability, semiotics, artificial intelligence, psychology and history.

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572

Publisher

Northwestern University Press

Published Date

ISBN 10

0810118211

ISBN 13

9780810118218

The Advanced TEXbook

By: David Salomon

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The Advanced TEXbook

By: David Salomon

A complete course in TeX that will be suitable for users of TeX who want to advance beyond the basics. The initial chapters introduce the essential workings of TeX and the later chapters cover a wide range of advanced topics such as macros, conditionals, tokens, leaders, file I/O, the line- and page-break algorithms, and output routines.

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516

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387945563

ISBN 13

9780387945569

Sensible Stock Investing

How to Pick, Value, and Manage Stocks

By: David P. Van Knapp

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Sensible Stock Investing

How to Pick, Value, and Manage Stocks

By: David P. Van Knapp

For the millions of individual stock investors who want to improve their results-and for beginners who want to get started on the right foot-Sensible Stock Investing: How to Pick, Value, and Manage Stocks is a comprehensive yet easy-to-follow guide. Written for the busy individual, Sensible Stock Investing presents the investment process in three phases: rating companies for their intrinsic soundness; valuing stocks to find advantageous purchase prices; and managing a portfolio once it is established. Author David Van Knapp breaks these stages into discrete steps and shows how the individual investor-in just a few hours per month-can outperform most mutual funds by investing intelligently and minimizing risk at every stage. As you will see from the two actual, proven portfolios described in Sensible Stock Investing, you don't have to be a mathematical genius or investment professional to succeed in the stock market! Whether you are an experienced investor or just getting started, Sensible Stock Investing describes straightforward methods, provides the forms and tools you need, and shows you what to do every step of the way to successfully navigate the stock market with intelligent investment practices. For more information, visit www.SensibleStocks.com.

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317

Publisher

iUniverse

Published Date

ISBN 10

0595606113

ISBN 13

9780595606115

Quantum Theory

By: David Bohm

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Quantum Theory

By: David Bohm

This advanced undergraduate-level text presents the quantum theory in terms of qualitative and imaginative concepts, followed by specific applications worked out in mathematical detail.

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673

Publisher

Courier Corporation

Published Date

ISBN 10

0486134881

ISBN 13

9780486134888

Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro

By: James W. Cogdell,Freydoon Shahidi,David Soudry

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Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro

By: James W. Cogdell,Freydoon Shahidi,David Soudry

This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

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454

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American Mathematical Soc.

Published Date

ISBN 10

0821893947

ISBN 13

9780821893944

Introduction to Wildlife and Fisheries

By: David Willis,Charles Scalet,Lester D. Flake

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Introduction to Wildlife and Fisheries

By: David Willis,Charles Scalet,Lester D. Flake

This book integrates the science of wildlife and fisheries. Updates include coverage of geographic information systems and biotelemetry; preferred structures for fish aging; information on diseases such as chronic wasting disease, avian flu, West Nile virus, viral haemorrhagic septicemia, and whirling disease.

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480

Publisher

Macmillan

Published Date

ISBN 10

142920446X

ISBN 13

9781429204460

Electricity and Magnetism

By: Edward M. Purcell,David J. Morin

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Electricity and Magnetism

By: Edward M. Purcell,David J. Morin

For 50 years, Edward M. Purcell's classic textbook has introduced students to the world of electricity and magnetism. The third edition has been brought up to date and is now in SI units. It features hundreds of new examples, problems, and figures, and contains discussions of real-life applications. The textbook covers all the standard introductory topics, such as electrostatics, magnetism, circuits, electromagnetic waves, and electric and magnetic fields in matter. Taking a nontraditional approach, magnetism is derived as a relativistic effect. Mathematical concepts are introduced in parallel with the physics topics at hand, making the motivations clear. Macroscopic phenomena are derived rigorously from the underlying microscopic physics. With worked examples, hundreds of illustrations, and nearly 600 end-of-chapter problems and exercises, this textbook is ideal for electricity and magnetism courses. Solutions to the exercises are available for instructors at www.cambridge.org/Purcell-Morin.

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868

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Cambridge University Press

Published Date

ISBN 10

1316466671

ISBN 13

9781316466674

Harmony in Chopin

By: David Damschroder

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Harmony in Chopin

By: David Damschroder

Chopin's oeuvre holds a secure place in the repertoire, beloved by audiences, performers, and aesthetes. In Harmony in Chopin, David Damschroder offers a new way to examine and understand Chopin's compositional style, integrating Schenkerian structural analyses with an innovative perspective on harmony and further developing ideas and methods put forward in his earlier books Thinking about Harmony (Cambridge, 2008), Harmony in Schubert (Cambridge, 2010), and Harmony in Haydn and Mozart (Cambridge, 2012). Reinvigorating and enhancing some of the central components of analytical practice, this study explores notions such as assertion, chordal evolution (surge), collision, dominant emulation, unfurling, and wobble through analyses of all forty-three Mazurkas Chopin published during his lifetime. Damschroder also integrates analyses of eight major works by Chopin with detailed commentary on the contrasting perspectives of other prominent Chopin analysts. This provocative and richly detailed book will help transform readers' own analytical approaches.

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313

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Cambridge University Press

Published Date

ISBN 10

1316368963

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9781316368961

Selected Papers

On the Classification of Varieties and Moduli Spaces

By: David Mumford

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Selected Papers

On the Classification of Varieties and Moduli Spaces

By: David Mumford

Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics. Many of these papers are currently unavailable, and the commentaries by Gieseker, Lange, Viehweg and Kempf are being published here for the first time.

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834

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Springer Science & Business Media

Published Date

ISBN 10

038721092X

ISBN 13

9780387210926

Linear and Nonlinear Programming

By: David G. Luenberger,Yinyu Ye

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Linear and Nonlinear Programming

By: David G. Luenberger,Yinyu Ye

The 5th edition of this classic textbook covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. One major insight is the connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve that problem. End-of-chapter exercises are provided for all chapters. The material is organized into three separate parts. Part I offers a self-contained introduction to linear programming. The presentation in this part is fairly conventional, covering the main elements of the underlying theory of linear programming, many of the most effective numerical algorithms, and many of its important special applications. Part II, which is independent of Part I, covers the theory of unconstrained optimization, including both derivations of the appropriate optimality conditions and an introduction to basic algorithms. This part of the book explores the general properties of algorithms and defines various notions of convergence. In turn, Part III extends the concepts developed in the second part to constrained optimization problems. Except for a few isolated sections, this part is also independent of Part I. As such, Parts II and III can easily be used without reading Part I and, in fact, the book has been used in this way at many universities. New to this edition are popular topics in data science and machine learning, such as the Markov Decision Process, Farkas’ lemma, convergence speed analysis, duality theories and applications, various first-order methods, stochastic gradient method, mirror-descent method, Frank-Wolf method, ALM/ADMM method, interior trust-region method for non-convex optimization, distributionally robust optimization, online linear programming, semidefinite programming for sensor-network localization, and infeasibility detection for nonlinear optimization.

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609

Publisher

Springer Nature

Published Date

ISBN 10

3030854507

ISBN 13

9783030854508

Galois Cohomology and Class Field Theory

By: David Harari

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Galois Cohomology and Class Field Theory

By: David Harari

This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well as the Poitou-Tate duality theorems, considered crowning achievements of modern number theory. Assuming a first graduate course in algebra and number theory, the book begins with an introduction to group and Galois cohomology. Local fields and local class field theory, including Lubin-Tate formal group laws, are covered next, followed by global class field theory and the description of abelian extensions of global fields. The final part of the book gives an accessible yet complete exposition of the Poitou-Tate duality theorems. Two appendices cover the necessary background in homological algebra and the analytic theory of Dirichlet L-series, including the Čebotarev density theorem. Based on several advanced courses given by the author, this textbook has been written for graduate students. Including complete proofs and numerous exercises, the book will also appeal to more experienced mathematicians, either as a text to learn the subject or as a reference.

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336

Publisher

Springer Nature

Published Date

ISBN 10

3030439011

ISBN 13

9783030439019

Structural Masonry Designers' Manual

By: W. G. Curtin,Gerry Shaw,J. K. Beck,W. A. Bray,David Easterbrook

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Structural Masonry Designers' Manual

By: W. G. Curtin,Gerry Shaw,J. K. Beck,W. A. Bray,David Easterbrook

This major handbook covers the structural use of brick and blockwork. A major feature is a series of step-by-step design examples of typical elements and buildings. The book has been revised to include updates to the code of practice BS 5628:2000-2 and the 2004 version of Part A of the Building Regulations. New information on sustainability issues, innovation in masonry, health and safety issues and technical developments has been added.

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Page Count

357

Publisher

John Wiley & Sons

Published Date

ISBN 10

0632056126

ISBN 13

9780632056125

Introduction to Wildlife and Fisheries

By: Charles G. Scalet,Lester D. Flake,David Willis

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Introduction to Wildlife and Fisheries

By: Charles G. Scalet,Lester D. Flake,David Willis

Thoroughly updated, with an inviting new design, the Second Edition offers the most current and accessible coverage of essential biological concepts and their applications, principles of resource management and conservation, and contemporary and public policy issues affecting today’s scientists and resources.

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532

Publisher

Macmillan

Published Date

ISBN 10

0716728168

ISBN 13

9780716728160

Moduli Spaces of Riemannian Metrics

By: Wilderich Tuschmann,David J. Wraith

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Moduli Spaces of Riemannian Metrics

By: Wilderich Tuschmann,David J. Wraith

This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature. If we form the quotient of such a space of metrics under the action of the diffeomorphism group (or possibly a subgroup) we obtain a moduli space. Understanding the topology of both the original space of metrics and the corresponding moduli space form the central theme of this book. For example, what can be said about the connectedness or the various homotopy groups of such spaces? We explore the major results in the area, but provide sufficient background so that a non-expert with a grounding in Riemannian geometry can access this growing area of research.

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Page Count

127

Publisher

Springer

Published Date

ISBN 10

3034809484

ISBN 13

9783034809481

Tata Lectures on Theta III

By: David Mumford

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Tata Lectures on Theta III

By: David Mumford

This volume is the third of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).

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Page Count

210

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817645799

ISBN 13

9780817645793

Gröbner Bases and the Computation of Group Cohomology

By: David J. Green

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Gröbner Bases and the Computation of Group Cohomology

By: David J. Green

This monograph develops the Gröbner basis methods needed to perform efficient state of the art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J. F. Carlson’s minimal resolutions approach to cohomology computations.

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156

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540203397

ISBN 13

9783540203391

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