John N Crossley's Books

The Emergence of Number

By: John N. Crossley

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This book presents detailed studies of the development of three kinds of number. In the first part the development of the natural numbers from Stone-Age times right up to the present day is examined not only from the point of view of pure history but also taking into account archaeological, anthropological and linguistic evidence. The dramatic change caused by the introduction of logical theories of number in the 19th century is also treated and this part ends with a non-technical account of the very latest developments in the area of Gdel's theorem. The second part is concerned with the development of complex numbers and tries to answer the question as to why complex numbers were not introduced before the 16th century and then, by looking at the original materials, shows how they were introduced as a pragmatic device which was only subsequently shown to be theoretically justifiable. The third part concerns the real numbers and examines the distinction that the Greeks made between number and magnitude. It then traces the gradual development of a theory of real numbers up to the precise formulations in the nineteeth century. The importance of the Greek distinction between the number line and the geometric line is brought into sharp focus.This is an new edition of the book which first appeared privately published in 1980 and is now out of print. Substantial revisions have been made throughout the text, incorporating new material which has recently come to light and correcting a few relatively minor errors. The third part on real numbers has been very extensively revised and indeed the last chapter has been almost completely rewritten. Many revisions are the results of comments from earlier readers of the book.

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240

Publisher

World Scientific

Published Date

ISBN 10

9971504146

ISBN 13

9789971504144

The Nine Chapters on the Mathematical Art

Companion and Commentary

By: Kangshen Shen,John N. Crossley,Anthony Wah-Cheung Lun

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The Nine Chapters on the Mathematical Art

Companion and Commentary

By: Kangshen Shen,John N. Crossley,Anthony Wah-Cheung Lun

The Nine Chapters on the Mathematical Art has been the most important mathematical source in China for the past 2000 years, comparable in significance to Euclid's Elements in the West. The Nine Chapters quickly acquired a distinguished reputation, and was the standard mathematics textbook in China and the surrounding regions until Western science was introduced in about 1600. This volume contains the first complete English translation of the Nine Chapters, together with the illuminating commentary of Liu Hui written in the 3rd century AD and other early century commentaries and further insights provided by the translators. The Nine Chapters contains 246 problems and their solutions, which fall into nine categories that are firmly based on practical needs. There are methods for solving problems in areas such as land measurement, construction, agriculture, commerce, and taxation, while the Chinese commentators provide the algorithms needed to solve the problems, and explanations of how the algorithms work. The translators' commentary provides clear and accessible background material for the Western reader, explanations of technicalities, and notes on the treatment of similar or identical mathematical problems in other countries. This first, full-English translation gives us an idea of the distinctive style and important contributions that have been made by traditional Chinese mathematics.

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Page Count

636

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0198539363

ISBN 13

9780198539360

Hernando de Los Ríos Coronel and the Spanish Philippines in the Golden Age

By: John N. Crossley

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Hernando de Los Ríos Coronel and the Spanish Philippines in the Golden Age

By: John N. Crossley

Soldier, priest, diplomat, explorer, naval pilot and scientist, Hernando de los Rios Coronel was a fascinating figure who played a pivotal role in Spanish efforts to establish a thriving colony in the Philippines. Telling the story of this extraordinary individual, this book provides an introduction to the early history of the Spanish Philippines.

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261

Publisher

Ashgate Publishing, Ltd.

Published Date

ISBN 10

1409425657

ISBN 13

9781409425656

Mathematics and Its History

A Concise Edition

By: John Stillwell

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Mathematics and Its History

A Concise Edition

By: John Stillwell

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition

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Page Count

400

Publisher

Springer Nature

Published Date

ISBN 10

3030551938

ISBN 13

9783030551933

Oxford Handbook of Psychotherapy Ethics

By: Manuel Trachsel,Nikola Biller-Andorno,Jens Gaab,John Sadler,Serife Tekin

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Oxford Handbook of Psychotherapy Ethics

By: Manuel Trachsel,Nikola Biller-Andorno,Jens Gaab,John Sadler,Serife Tekin

Psychotherapy is an indispensable approach in the treatment of mental disorders and, for some mental disorders, it is the most effective treatment. Yet, psychotherapy is abound with ethical issues. In psychotherapy ethics, numerous fundamental ethical issues converge, including self-determination/autonomy, decision-making capacity and freedom of choice, coercion and constraint, medical paternalism, the fine line between healthiness and illness, insight into illness and need of therapy, dignity, under- and overtreatment, and much more. The Oxford Handbook of Psychotherapy Ethics explores a whole range of ethical issues in the heterogenous field of psychotherapy thereby closing a widespread perceived gap between ethical sensitivity, technical language, and knowledge among psychotherapists. The book is intended not only for a clinical audience, but also for a philosophical/ethical audience - linking the two disciplines by fostering a productive dialogue between them, thereby enriching both the psychotherapeutic encounter and the ethical analysis and sensitivity in and outside the clinic. An essential book for psychotherapists in clinical practice, it will also be valuable for those professionals providing mental health services beyond psychology and medicine, including counsellors, social workers, nurses, and ministers.

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Page Count

900

Publisher

Oxford University Press

Published Date

ISBN 10

0192549499

ISBN 13

9780192549495

Algebra in Context

Introductory Algebra from Origins to Applications

By: Amy Shell-Gellasch,John Thoo

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Algebra in Context

Introductory Algebra from Origins to Applications

By: Amy Shell-Gellasch,John Thoo

An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations

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Page Count

553

Publisher

JHU Press

Published Date

ISBN 10

1421417294

ISBN 13

9781421417295

Soil Management and Greenhouse Effect

By: John M. Kimble,Elissa R. Levine,Bobby A. Stewart

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Soil Management and Greenhouse Effect

By: John M. Kimble,Elissa R. Levine,Bobby A. Stewart

Soil Management and Greenhouse Effect focuses on proper management of soils and its effects on global change, specifically, the greenhouse effect. It contains up-to-date information on a broad range of important soil management topics, emphasizing the critical role of soil for carbon storage. Sequestration and emission of carbon and other gases are examined in various ecosystems, in both natural and managed environments, to provide a comprehensive overview. This useful reference includes chapters that address policy issues, as well as research and development priorities. The material in this volume is valuable not only to soil scientists but to the entire environmental science community.

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404

Publisher

CRC Press

Published Date

ISBN 10

1566701171

ISBN 13

9781566701174

The Intellectual Properties of Learning

A Prehistory from Saint Jerome to John Locke

By: John Willinsky

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The Intellectual Properties of Learning

A Prehistory from Saint Jerome to John Locke

By: John Willinsky

Providing a sweeping millennium-plus history of the learned book in the West, John Willinsky puts current debates over intellectual property into context, asking what it is about learning that helped to create the concept even as it gave the products of knowledge a different legal and economic standing than other sorts of property. Willinsky begins with Saint Jerome in the fifth century, then traces the evolution of reading, writing, and editing practices in monasteries, schools, universities, and among independent scholars through the medieval period and into the Renaissance. He delves into the influx of Islamic learning and the rediscovery of classical texts, the dissolution of the monasteries, and the founding of the Bodleian Library before finally arriving at John Locke, whose influential lobbying helped bring about the first copyright law, the Statute of Anne of 1710. Willinsky’s bravura tour through this history shows that learning gave rise to our idea of intellectual property while remaining distinct from, if not wholly uncompromised by, the commercial economy that this concept inspired, making it clear that today’s push for marketable intellectual property threatens the very nature of the quest for learning on which it rests.

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383

Publisher

University of Chicago Press

Published Date

ISBN 10

022648808X

ISBN 13

9780226488080

Linking Species & Ecosystems

By: Clive G. Jones,John H. Lawton

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Linking Species & Ecosystems

By: Clive G. Jones,John H. Lawton

I was asked to introduce this volume by examining "why a knowledge of ecosys tem functioning can contribute to understanding species activities, dynamics, and assemblages." I have found it surprisingly difficult to address this topic. On the one hand, the answer is very simple and general: because all species live in ecosystems, they are part of and dependent on ecosystem processes. It is impossible to understand the abundance and distribution of populations and the species diversity and composition of communities without a knowledge of their abiotic and biotic environments and of the fluxes of energy and mat ter through the ecosystems of which they are a part. But everyone knows this. It is what ecology is all about (e.g., Likens, 1992). It is why the discipline has retained its integrity and thrived, despite a sometimes distressing degree of bickering and chauvinism among its various subdisciplines: physiological, be havioral, population, community, and ecosystem ecology.

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Page Count

403

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461517737

ISBN 13

9781461517733

Traditional Buildings in the Oxford Region

By: John Steane,James Ayres

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Traditional Buildings in the Oxford Region

By: John Steane,James Ayres

The pivotal position of the Oxford region in the geological and therefore building history of England is of fundamental importance to the study of traditional construction. Oxford occupies a central position on the ancient route between Northampton and Southampton and on the east - west road between London, The West Country, Wales and Ireland. For this reason, unusually for vernacular architecture, the buildings of the region were subject to a wide range of influences. This book, the fruit of twenty years research, provides an account of vernacular architecture in the Oxford region from Anglo-Saxon times to the 19th century. It begins with a discussion of methods and procedures followed by a description of building materials, stone, brick, slate and thatch. This serves as an introduction to the heart of the book, eleven chapters dealing with surveys of cruck buildings, manorial and moated sites, town houses with particular emphasis on Abingdon, and houses in the countryside from farmhouses to cottages. There are then chapters on fire hazards, public houses and public buildings. Several appendices are devoted to wall paintings, ferramenta, apotropaic marks, carpentry details, secrets under the floorboards, fireplaces, staircases and windows. The book is richly and profusely illustrated with over 500 illustrations, photographs, maps, and a particular strength, a large number of drawings of architectural details and sketch perspectives.

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Page Count

480

Publisher

Oxbow Books

Published Date

ISBN 10

1782970320

ISBN 13

9781782970323

China

A New History, Second Enlarged Edition

By: John King Fairbank,Merle Goldman

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China

A New History, Second Enlarged Edition

By: John King Fairbank,Merle Goldman

John King Fairbank was the West's doyen on China, and this book is the full and final expression of his lifelong engagement with this vast ancient civilization. The distinguished historian Merle Goldman brings the book up to date and provides an epilogue discussing the changes in contemporary China that will shape the nation in the years to come.

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581

Publisher

Harvard University Press

Published Date

ISBN 10

0674036654

ISBN 13

9780674036659

Rochester Cathedral, 604-1540

An Architectural History

By: John Philip McAleer

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Rochester Cathedral, 604-1540

An Architectural History

By: John Philip McAleer

The study also takes into account the extensive body of literature that has developed since Hope's study, on the Anglo-Saxon, Romanesque, and Gothic periods in Britain."--BOOK JACKET.

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Page Count

460

Publisher

University of Toronto Press

Published Date

ISBN 10

0802042228

ISBN 13

9780802042224

Medieval England

Towns, Commerce and Crafts, 1086-1348

By: Edward Miller,John Hatcher

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Medieval England

Towns, Commerce and Crafts, 1086-1348

By: Edward Miller,John Hatcher

The only survey of the urban, commercial and industrial history of the period between the Norman conquest and the Black Death.

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Page Count

455

Publisher

Routledge

Published Date

ISBN 10

131787286X

ISBN 13

9781317872863

Mills in the Medieval Economy

England 1300-1540

By: John Langdon

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Mills in the Medieval Economy

England 1300-1540

By: John Langdon

The late medieval English milling industry epitomizes one of the most important technical achievements of early societies: the exploitation of wind, water and muscle power for augmenting human endeavours. Through a computerized analysis of the number and variety of mills in England from 1300 to 1540, as well as the technology, practices and personnel sustaining them, Langdon reveals the structural evolution of the milling industry, highlighting both its accomplishments and its limitations. Although it focuses on England during the later middle ages, the book's innovative methodologies and original findings will furnish useful comparative material for all scholars investigating pre-industrial societies. It also offers a challenging new perspective on the later middle ages as a time of change, in addition to providing enthusiasts of old technologies generally with a wealth of detail about one of the most recognizable and enduring features of medieval society.

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Page Count

392

Publisher

OUP Oxford

Published Date

ISBN 10

0191514756

ISBN 13

9780191514753

Tachdjian's Pediatric Orthopaedics E-Book

From the Texas Scottish Rite Hospital for Children

By: John A. Herring

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Tachdjian's Pediatric Orthopaedics E-Book

From the Texas Scottish Rite Hospital for Children

By: John A. Herring

Continuing the tradition of excellence that began in 1972, this latest edition of Tachdjian s Pediatric Orthopaedics offers the detailed visual guidance; and unmatched expertise you need to effectively diagnose and treat pediatric musculoskeletal disorders. Extensive updates offer you the latest knowledge on etiology, imaging, differential diagnosis, and non-operative and surgical techniques for a wide range of pediatric orthopaedic conditions. "... delivers the most comprehensive text on this subject." Reviewed by Dr. Neel Kamal on behalf of BACCH Newsletter, March 2015 Access expert guidance on difficult diagnostic and clinical management issues for your most challenging cases. Perfect your technique with the visual guidance of nearly 2,500 full-color illustrations and 60 videos of pediatric surgical procedures, including a number that highlight clinical examination and unusual clinical findings. Produce the best possible outcomes using today's most effective approaches for management of severe spinal deformities, hip impingement, early-onset scoliosis, and other pediatric musculoskeletal conditions. See exactly how to proceed step-by-step with instructional videos demonstrating repair of bilateral dislocated hips, triple arthrodesis for planovalgus foot, patellofemoral ligament reconstruction, elbow arthroscopy, and more. Access the full contents online at Expert Consult.

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2662

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

1455737402

ISBN 13

9781455737406

Adapting Proofs-as-Programs

The Curry--Howard Protocol

By: Iman Poernomo,John N. Crossley,Martin Wirsing

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Adapting Proofs-as-Programs

The Curry--Howard Protocol

By: Iman Poernomo,John N. Crossley,Martin Wirsing

This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems. One of the books central themes is a general, abstract framework for developing new systems of programs synthesis by adapting proofs-as-programs to new contexts.

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Page Count

417

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387281835

ISBN 13

9780387281834

Growing Ideas of Number

By: John N. Crossley

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Growing Ideas of Number

By: John N. Crossley

This book explores the notion of how number ideas, and ideas of number, have grown from ancient to modern times throughout history. It looks at how different types of number and views of numbers (and their meaning and applications) have varied across cutures over time, and combines historical consideration with the mathematics. The book illustrates some of the real problems and subtleties of number, including counting, calculation, measuring and using machines, which ancient and modern people have grappled with - and continue to do so today.

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122

Publisher

Aust Council for Ed Research

Published Date

ISBN 10

0864317093

ISBN 13

9780864317094

New media and public activism

Neoliberalism, the state and radical protest in the public sphere

By: Roberts, John Michael

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New media and public activism

Neoliberalism, the state and radical protest in the public sphere

By: Roberts, John Michael

The Arab Spring, chat forums, political leaders tweeting, online petitions, and protestors in the Occupy Movement - new media public spheres have without doubt radically altered social and political activism in society. But to what extent is this new activist public sphere stifled by the neoliberal economy and workfare state? Have we in fact become transformed into subjects of online consumption and orderly surveillance, rather than committed social and political campaigners? In this highly topical book, John Michael Roberts employs a political economy perspective to explore the relationship between financial neoliberal capitalism and digital publics. He assesses the extent to which they provide new forms of radical protest in civil society and offers an indispensable guide to understanding the relationship between the state, new media activism and neoliberal practices.

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Page Count

240

Publisher

Policy Press

Published Date

ISBN 10

1447308212

ISBN 13

9781447308218

Book's by John N Crossley

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