Victor J. Katz's Books

Taming the Unknown

A History of Algebra from Antiquity to the Early Twentieth Century

By: Victor J. Katz,Karen Hunger Parshall

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Taming the Unknown

A History of Algebra from Antiquity to the Early Twentieth Century

By: Victor J. Katz,Karen Hunger Parshall

What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century. Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era. Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.

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Page Count

502

Publisher

Princeton University Press

Published Date

ISBN 10

0691204071

ISBN 13

9780691204079

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

A Sourcebook

By: Victor J. Katz,Annette Imhausen

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The Mathematics of Egypt, Mesopotamia, China, India, and Islam

A Sourcebook

By: Victor J. Katz,Annette Imhausen

In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

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Page Count

712

Publisher

Princeton University Press

Published Date

ISBN 10

0691114854

ISBN 13

9780691114859

Using History to Teach Mathematics

An International Perspective

By: Victor J. Katz

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Using History to Teach Mathematics

An International Perspective

By: Victor J. Katz

This volume examines how the history of mathematics can find application in the teaching of mathematics itself.

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284

Publisher

Cambridge University Press

Published Date

ISBN 10

0883851636

ISBN 13

9780883851630

Hemostasis and Thrombosis

Basic Principles and Clinical Practice

By: Victor J. Marder,William C. Aird,Joel S. Bennett,Sam Schulman,Gilbert C. White, II

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Hemostasis and Thrombosis

Basic Principles and Clinical Practice

By: Victor J. Marder,William C. Aird,Joel S. Bennett,Sam Schulman,Gilbert C. White, II

Since publication of the First Edition in 1982, Hemostasis and Thrombosis has established itself as the pre-eminent book in the field of coagulation disorders. No other book is as inclusive in scope, with coverage of the field from the standpoint of both basic scientists and clinicians. This comprehensive resource details the essentials of bleeding and thrombotic disorders and the management of patients with these and related problems, and delivers the most up-to-date information on normal biochemistry and function of platelets or endothelial cells, as well as in-depth discussions of the pharmacology of anticoagulant, fibrinolytic, and hemostatic drugs. NEW to the Sixth Edition... • A new team of editors, each a leader in his field, assures you of fresh, authoritative perspectives. • Full color throughout • A companion website that offers full text online and an image bank. • A new introductory section of chapters on basic sciences as related to the field • Entirely new section on Hemostatic and Thrombotic Disorders Associated with Systemic Conditions includes material on pediatric patients, women's health issues, cancer, sickle cell disease, and other groups. • Overview chapters preceding each section address broad topics of general importance. This is the tablet version which does not include access to the supplemental content mentioned in the text.

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Page Count

5220

Publisher

Lippincott Williams & Wilkins

Published Date

ISBN 10

1451177690

ISBN 13

9781451177695

Vascular Protection

Molecular Mechanisms, Novel Therapeutic Principles and Clinical Applications

By: Gabor M. Rubanyi,Victor J. Dzau,John P. Cooke

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Vascular Protection

Molecular Mechanisms, Novel Therapeutic Principles and Clinical Applications

By: Gabor M. Rubanyi,Victor J. Dzau,John P. Cooke

Vascular Protection explores advances in vascular biology and how they translate into innovations in drug therapy for vascular disease. It addresses recent advances in the knowledge of endothelial vasoactive factors and other biologically active molecules as well as gene therapy. Written by leading experts in their respective fields, each chapter e

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Page Count

492

Publisher

CRC Press

Published Date

ISBN 10

0203166477

ISBN 13

9780203166475

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

A Sourcebook

By: Victor J. Katz,Annette Imhausen

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The Mathematics of Egypt, Mesopotamia, China, India, and Islam

A Sourcebook

By: Victor J. Katz,Annette Imhausen

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Page Count

701

Publisher

Princeton University Press

Published Date

ISBN 10

0691114854

ISBN 13

9780691114859

Book's by Victor J. Katz

Taming the Unknown

Taming the Unknown

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

Using History to Teach Mathematics

Using History to Teach Mathematics

Hemostasis and Thrombosis

Hemostasis and Thrombosis

Vascular Protection

Vascular Protection

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

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