David Cayley's Books

Exploring the Moon

The Apollo Expeditions

By: David M. Harland

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Exploring the Moon

The Apollo Expeditions

By: David M. Harland

In this comprehensive overview of Man’s relationship with his planet’s nearest neighbor, David Harland opens with a review of the robotic probes, namely the Rangers which returned television before crashing into the Moon, the Surveyors which 'soft landed' in order to investigate the nature of the surface, and the Lunar Orbiters which mapped prospective Apollo landing sites. He then outlines the historic landing by Apollo 11 and the final three missions of comprehensive geological investigations. He concludes with a review of the robotic spacecraft that made remote-sensing observations of the Moon. This Commemorative Edition includes a foreword by one of the original astronauts as well as an extra section reviewing the prospect of renewed exploration there. New graphics and images are also included.

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447

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387746412

ISBN 13

9780387746418

The Emergence of the American Mathematical Research Community, 1876-1900

J.J. Sylvester, Felix Klein, and E.H. Moore

By: Karen Hunger Parshall,David E. Rowe

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The Emergence of the American Mathematical Research Community, 1876-1900

J.J. Sylvester, Felix Klein, and E.H. Moore

By: Karen Hunger Parshall,David E. Rowe

Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover

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532

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809075

ISBN 13

9780821809075

Choosing Canada's Capital

Conflict Resolution In a Parliamentary System

By: David B. Knight

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Choosing Canada's Capital

Conflict Resolution In a Parliamentary System

By: David B. Knight

This collection of documents, set in a framework of introductory and explanatory comments, vividly portrays the vexatious issue and the disparate sectional tensions it bared. Expanded analysis, illustrations, new documents and maps are provided in this re

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419

Publisher

McGill-Queen's Press - MQUP

Published Date

ISBN 10

0773573712

ISBN 13

9780773573710

Adventures in Group Theory

Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

By: David Joyner

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Adventures in Group Theory

Rubik's Cube, Merlin's Machine, and Other Mathematical Toys

By: David Joyner

David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.

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329

Publisher

JHU Press

Published Date

ISBN 10

0801890136

ISBN 13

9780801890130

Geometry and Dynamics in Gromov Hyperbolic Metric Spaces

By: Tushar Das,David Simmons,Mariusz Urbański

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Geometry and Dynamics in Gromov Hyperbolic Metric Spaces

By: Tushar Das,David Simmons,Mariusz Urbański

This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.

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321

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470434652

ISBN 13

9781470434656

Adventures in Graph Theory

By: W. David Joyner,Caroline Grant Melles

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Adventures in Graph Theory

By: W. David Joyner,Caroline Grant Melles

This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book’s source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.

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344

Publisher

Birkhäuser

Published Date

ISBN 10

3319683837

ISBN 13

9783319683836

Graph Theory in America

The First Hundred Years

By: Robin Wilson,John J. Watkins,David J. Parks

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Graph Theory in America

The First Hundred Years

By: Robin Wilson,John J. Watkins,David J. Parks

How a new mathematical field grew and matured in America Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the English-speaking world, took up his appointment as the first professor of mathematics at the Johns Hopkins University, where his inaugural lecture outlined connections between graph theory, algebra, and chemistry—shortly after, he introduced the word graph in our modern sense. A hundred years later, in 1976, graph theory witnessed the solution of the long-standing four color problem by Kenneth Appel and Wolfgang Haken of the University of Illinois. Tracing graph theory’s trajectory across its first century, this book looks at influential figures in the field, both familiar and less known. Whereas many of the featured mathematicians spent their entire careers working on problems in graph theory, a few such as Hassler Whitney started there and then moved to work in other areas. Others, such as C. S. Peirce, Oswald Veblen, and George Birkhoff, made excursions into graph theory while continuing their focus elsewhere. Between the main chapters, the book provides short contextual interludes, describing how the American university system developed and how graph theory was progressing in Europe. Brief summaries of specific publications that influenced the subject’s development are also included. Graph Theory in America tells how a remarkable area of mathematics landed on American soil, took root, and flourished.

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320

Publisher

Princeton University Press

Published Date

ISBN 10

0691194025

ISBN 13

9780691194028

A History of Aerodynamics

And Its Impact on Flying Machines

By: John David Anderson,John D. Anderson, Jr

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A History of Aerodynamics

And Its Impact on Flying Machines

By: John David Anderson,John D. Anderson, Jr

From the Foreword: 'John Anderson's book represents a milestone in aviation literature. For the first time aviation enthusiasts - both specialists and popular readers alike - possess an authoritative history of aerodynamic theory. Not only is this study authoritative, it is also highly readable and linked to the actual (and more familiar) story of how the airplane evolved. The book touches on all the major theorists and their contributions and, most important, the historical context in which they worked to move the science of aerodynamics forward.' Von Hardesty, Smithsonian Institution From the reviews: 'Something of the unexpected quality of this book can be inferred from its full title A History of Aerodynamics and Its Impact on Flying Machines. Pilots tend to suppose that the science of aerodynamics began empirically, somewhere around the time of Lilienthal and the Wrights, and that aerodynamics and manned flight are roughly coeval. It is therefore surprising to come upon a photograph of the Wright Flyer as late as page 242 of the 478-page volume.' Peter Garrison, Flying 'This book successfully straddles the boundary that separates a text book from a history book. It is of equal interest to both the aerodynamicist and the layman. The textual balance achieved by the author has resulted in a book that is enjoyable and educational.' Earl See, American Aviation Historical Society Newsletter

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498

Publisher

Cambridge University Press

Published Date

ISBN 10

0521669553

ISBN 13

9780521669559

Inventing Flight

The Wright Brothers & Their Predecessors

By: John David Anderson

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Inventing Flight

The Wright Brothers & Their Predecessors

By: John David Anderson

The invention of flight craft heavier than air counts among humankind's defining achievements. In this book, aviation engineer and historian John D. Anderson, Jr., offers a concise and engaging account of the technical developments that anticipated the Wright brothers' successful first flight on December 17, 1903. While the accomplishments of the Wrights have become legendary, we do well to remember that they inherited a body of aerodynamics knowledge and flying machine technology. How much did they draw upon this legacy? Did it prove useful or lead to dead ends? Leonardo da Vinci first began to grasp the concepts of lift and drag which would be essential to the invention of powered flight. He describes the many failed efforts of the so-called tower jumpers, from Benedictine monk Oliver of Malmesbury in 1022 to the eighteenth-century Marquis de Bacqueville. He tells the fascinating story of aviation pioneers such as Sir George Cayley, who in a stroke of genius first proposed the modern design of a fixed-wing craft with a fuselage and horizontal and vertical tail surfaces in 1799, and William Samuel Henson, a lace-making engineer whose ambitious aerial steam carriage was patented in 1842 but never built. Anderson describes the groundbreaking nineteenth-century laboratory experiments in fluid dynamics, the building of the world's first wind tunnel in 1870, and the key contributions of various scientists and inventors in such areas as propulsion (propellers, not flapping wings) and wing design (curved, not flat). He also explains the crucial contributions to the science of aerodynamics by the German engineer Otto Lilienthal, later praised by the Wrights as their most im Kitty Hawk as they raced to become the first in flight, Anderson shows how the brothers succeeded where others failed by taking the best of early technology and building upon it using a carefully planned, step-by-step experimental approach. (They recognized, for example, that it was necessary to become a skilled glider pilot before attempting powered flight.) With vintage photographs and informative diagrams to enhance the text, Inventing Flight will interest anyone who has ever wondered what lies behind the miracle of flight. undergraduates, that would tell the connected prehistory of the airplane from Cayley to the Wrights. In light of the recognized excellence of his technical textbooks (with their stimulating historical vignettes), I can't think of a better person than Professor Anderson for the job. He has the rare combination of technical and historical knowledge that is essential for the necessary balance. Inventing Flight will be a welcome addition to undergraduate classrooms.--Walter G. Vincenti, Stanford University

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188

Publisher

JHU Press

Published Date

ISBN 10

0801868750

ISBN 13

9780801868757

Zero-Symmetric Graphs

Trivalent Graphical Regular Representations of Groups

By: H. S. M. Coxeter,Roberto Frucht,David L. Powers

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Zero-Symmetric Graphs

Trivalent Graphical Regular Representations of Groups

By: H. S. M. Coxeter,Roberto Frucht,David L. Powers

Zero-Symmetric Graphs: Trivalent Graphical Regular Representations of Groups describes the zero-symmetric graphs with not more than 120 vertices.The graphs considered in this text are finite, connected, vertex-transitive and trivalent. This book is organized into three parts encompassing 25 chapters. The first part reviews the different classes of zero-symmetric graphs, according to the number of essentially different edges incident at each vertex, namely, the S, T, and Z classes. The remaining two parts discuss the theorem and characteristics of type 1Z and 3Z graphs. These parts explore Cayley graphs of specific groups, including the parameters of Cayley graphs of groups. This book will prove useful to mathematicians, computer scientists, and researchers.

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181

Publisher

Academic Press

Published Date

ISBN 10

1483268780

ISBN 13

9781483268781

Groups and Symmetry: A Guide to Discovering Mathematics

A Guide to Discovering Mathematics

By: David W. Farmer

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Groups and Symmetry: A Guide to Discovering Mathematics

A Guide to Discovering Mathematics

By: David W. Farmer

Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far. The excitement and the discovery are left to you.

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112

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821804502

ISBN 13

9780821804506

Applications of Polynomial Systems

By: David A. Cox

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Applications of Polynomial Systems

By: David A. Cox

Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert. Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bézier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century. The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.

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264

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470451379

ISBN 13

9781470451370

Linear Algebra

Theory and Applications

By: Ward Cheney,David Kincaid

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Linear Algebra

Theory and Applications

By: Ward Cheney,David Kincaid

Ward Cheney and David Kincaid have developed Linear Algebra: Theory and Applications, Second Edition, a multi-faceted introductory textbook, which was motivated by their desire for a single text that meets the various requirements for differing courses within linear algebra. For theoretically-oriented students, the text guides them as they devise proofs and deal with abstractions by focusing on a comprehensive blend between theory and applications. For application-oriented science and engineering students, it contains numerous exercises that help them focus on understanding and learning not only vector spaces, matrices, and linear transformations, but uses of software tools available for use in applied linear algebra. Using a flexible design, it is an ideal textbook for instructors who wish to make their own choice regarding what material to emphasis, and to accentuate those choices with homework assignments from a large variety of exercises, both in the text and online.

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649

Publisher

Jones & Bartlett Publishers

Published Date

ISBN 10

1449613527

ISBN 13

9781449613525

Foundations of Justice

Alberta's Historic Courthouses

By: David Mittelstadt

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Foundations of Justice

Alberta's Historic Courthouses

By: David Mittelstadt

Based on original research, this exhaustive volume provides a rich background to Albertas historic courthouses. Covering in detail all of Albertas historic courthouses built between 1874 and 1950, this book considers many facets of these unique and significant structures.

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385

Publisher

University of Calgary Press

Published Date

ISBN 10

1552381234

ISBN 13

9781552381236

Indra's Pearls

The Vision of Felix Klein

By: David Mumford,Caroline Series,David James Wright,David Wright

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Indra's Pearls

The Vision of Felix Klein

By: David Mumford,Caroline Series,David James Wright,David Wright

Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.

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422

Publisher

Cambridge University Press

Published Date

ISBN 10

0521352533

ISBN 13

9780521352536

Who Cares?

Rediscovering Community

By: David B Schwartz

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Who Cares?

Rediscovering Community

By: David B Schwartz

A wonderfully engaging and accessible book, Who Cares? emphasizes finding humane responses to developmentally and physically disabled individuals that are community driven rather than solely reliant on problem-solution oriented social service organizations. David Schwartz examines the roles of both informal communities and sectarian communities for

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237

Publisher

Routledge

Published Date

ISBN 10

0429982704

ISBN 13

9780429982705

Combinatorics

A Guided Tour

By: David R. Mazur

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Combinatorics

A Guided Tour

By: David R. Mazur

Combinatorics is mathematics of enumeration, existence, construction, and optimization questions concerning finite sets. This text focuses on the first three types of questions and covers basic counting and existence principles, distributions, generating functions, recurrence relations, Pólya theory, combinatorial designs, error correcting codes, partially ordered sets, and selected applications to graph theory including the enumeration of trees, the chromatic polynomial, and introductory Ramsey theory. The only prerequisites are single-variable calculus and familiarity with sets and basic proof techniques. The text emphasizes the brands of thinking that are characteristic of combinatorics: bijective and combinatorial proofs, recursive analysis, and counting problem classification. It is flexible enough to be used for undergraduate courses in combinatorics, second courses in discrete mathematics, introductory graduate courses in applied mathematics programs, as well as for independent study or reading courses. What makes this text a guided tour are the approximately 350 reading questions spread throughout its eight chapters. These questions provide checkpoints for learning and prepare the reader for the end-of-section exercises of which there are over 470. Most sections conclude with Travel Notes that add color to the material of the section via anecdotes, open problems, suggestions for further reading, and biographical information about mathematicians involved in the discoveries.

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411

Publisher

American Mathematical Society

Published Date

ISBN 10

1470472864

ISBN 13

9781470472863

Graphs from Rings

By: David F. Anderson,T. Asir,Ayman Badawi,T. Tamizh Chelvam

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Graphs from Rings

By: David F. Anderson,T. Asir,Ayman Badawi,T. Tamizh Chelvam

This book gives an overview of research on graphs associated with commutative rings. The study of the connections between algebraic structures and certain graphs, especially finite groups and their Cayley graphs, is a classical subject which has attracted a lot of interest. More recently, attention has focused on graphs constructed from commutative rings, a field of study which has generated an extensive amount of research over the last three decades. The aim of this text is to consolidate this large body of work into a single volume, with the intention of encouraging interdisciplinary research between algebraists and graph theorists, using the tools of one subject to solve the problems of the other. The topics covered include the graphical and topological properties of zero-divisor graphs, total graphs and their transformations, and other graphs associated with rings. The book will be of interest to researchers in commutative algebra and graph theory and anyone interested in learning about the connections between these two subjects.

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548

Publisher

Springer Nature

Published Date

ISBN 10

3030884104

ISBN 13

9783030884109

Nilpotent Orbits In Semisimple Lie Algebra

An Introduction

By: David .H. Collingwood,William .M. McGovern

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Nilpotent Orbits In Semisimple Lie Algebra

An Introduction

By: David .H. Collingwood,William .M. McGovern

The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure theory. The techniques used are elementary.

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206

Publisher

CRC Press

Published Date

ISBN 10

0534188346

ISBN 13

9780534188344

The World's Most Significant and Magnificent Aircraft

Evolution of the Modern Airplane

By: David Thurston

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The World's Most Significant and Magnificent Aircraft

Evolution of the Modern Airplane

By: David Thurston

Beginning with the earliest pre-flight designs, The World's Most Significant and Magnificent Aircraft provides exciting details of each plane's engineering, design, and flight accomplishments. Illustrated with pre-production diagrams and historical photos, the book is divided into seven parts representing the major stages of airplane development in a chronological order.

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294

Publisher

SAE International

Published Date

ISBN 10

0768049172

ISBN 13

9780768049176

iOpener: Airborne!

By: David Glover

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iOpener: Airborne!

By: David Glover

This book for advanced readers covers everything you need to know about the science of flight and all the different ways to fly. Diagrams, fun fact boxes, timelines, and photographs bring the subject to life, while a glossary, an index, and discussion questions aid in reading comprehension. Grade: 6 Subject: Physical Science Genre: Informational Text Comprehension Skill/Strategy: Use Graphic Sources Diagnostic Reading Assessment (DRA): 60 Guided Reading Level: V Lexile Level: 1010L DK's iOpeners equip K-6 students with the skills and strategies they need to access and comprehend nonfiction so that they are not only learning to read but reading to learn. The combination of high-interest content and eye-popping photography of iOpeners brings science, math and social studies topics to life, raises student achievement in reading, and boosts standardized test scores.

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Penguin

Published Date

ISBN 10

1465446737

ISBN 13

9781465446732

History of modern Mathematics

By: David Eugene Smith

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History of modern Mathematics

By: David Eugene Smith

A survey of the major figures and mathematical movements of the 19th century, this is a thorough examination of every significant foundation stone of today's modern mathematics. Providing clear and concise articles on the fundamental definition of numbers through to quantics and infinite series, as well as exposition on the relationships between theorems, this volume, which was first published in 1896, cements itself as an essential reference work, a solid jumping-off point for all students of mathematics, and a fascinating glimpse at the once-cutting edge that now is taken for granted in an ever-changing scientific field. New York lawyer and mathematician DAVID EUGENE SMITH (1860-1944) authored a number of books while a professor of mathematics at Columbia University, including The Teaching of Elementary Mathematics (1900), A History of Japanese Mathematics (1914).

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BoD - Books on Demand

Published Date

ISBN 13

9791041940790

The Airplane

A History of Its Technology

By: John David Anderson

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The Airplane

A History of Its Technology

By: John David Anderson

A history of the technical development of the aeroplane, commissioned to celebrate the 100th anniversary of powered flight. In each chronological period covered, the various aspects of the synthesis of aerodynamics, propulsion, flight dynamics, and structure is described and evaluated.

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394

Publisher

AIAA

Published Date

ISBN 10

1563475251

ISBN 13

9781563475252

Elementary Linear Algebra

By: Stephen Andrilli,David Hecker

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Elementary Linear Algebra

By: Stephen Andrilli,David Hecker

Elementary Linear Algebra develops and explains in careful detail the computational techniques and fundamental theoretical results central to a first course in linear algebra. This highly acclaimed text focuses on developing the abstract thinking essential for further mathematical study The authors give early, intensive attention to the skills necessary to make students comfortable with mathematical proofs. The text builds a gradual and smooth transition from computational results to general theory of abstract vector spaces. It also provides flexbile coverage of practical applications, exploring a comprehensive range of topics. Ancillary list:* Maple Algorithmic testing- Maple TA- www.maplesoft.com - Includes a wide variety of applications, technology tips and exercises, organized in chart format for easy reference - More than 310 numbered examples in the text at least one for each new concept or application - Exercise sets ordered by increasing difficulty, many with multiple parts for a total of more than 2135 questions - Provides an early introduction to eigenvalues/eigenvectors - A Student solutions manual, containing fully worked out solutions and instructors manual available

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773

Publisher

Academic Press

Published Date

ISBN 10

0080886256

ISBN 13

9780080886251

Word Processing in Groups

By: David B.A. Epstein

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Word Processing in Groups

By: David B.A. Epstein

This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to

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344

Publisher

CRC Press

Published Date

ISBN 10

1439865698

ISBN 13

9781439865699

Algebra

A Teaching and Source Book

By: Ernest Shult,David Surowski

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Algebra

A Teaching and Source Book

By: Ernest Shult,David Surowski

This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student.

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551

Publisher

Springer

Published Date

ISBN 10

3319197347

ISBN 13

9783319197340

Cohomological Induction and Unitary Representations

Anthony W. Knapp and David A. Vogan, Jr

By: Anthony W. Knapp,David A. Vogan

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Cohomological Induction and Unitary Representations

Anthony W. Knapp and David A. Vogan, Jr

By: Anthony W. Knapp,David A. Vogan

This book offers a systematic treatment--the first in book form--of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated co-homology theories grew up as a result of work by Borel, Weil, Harish-Chandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complex-analysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups. The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis.

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976

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Princeton University Press

Published Date

ISBN 10

0691037566

ISBN 13

9780691037561

One, Two, Three

Absolutely Elementary Mathematics

By: David Berlinski

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One, Two, Three

Absolutely Elementary Mathematics

By: David Berlinski

The acclaimed author of A Tour of the Calculus and The Infinite Ascent offers an enlightening and enthralling tour of the basics of mathematics, and reveals a world of fascination in fundamental mathematical ideas. One, Two, Three is David Berlinski’s captivating exploration of the foundation of mathematics, its fundamental ideas, and why they matter. By unraveling the complex answers to these most elementary questions—What is a number? How do addition, subtraction, and other functions actually work? What are geometry and logic?—Berlinski reveals the intricacy behind their seemingly simple exteriors. Peppered with enlightening historical anecdotes and asides on some of history’s most fascinating mathematicians, One, Two, Three, revels in the beauty of numbers as Berlinski shows us how and why these often slippery concepts are as essential to the field of mathematics as to who we are.

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225

Publisher

Vintage

Published Date

ISBN 10

1400079101

ISBN 13

9781400079100

The Matrix Eigenvalue Problem

GR and Krylov Subspace Methods

By: David S. Watkins

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The Matrix Eigenvalue Problem

GR and Krylov Subspace Methods

By: David S. Watkins

The first in-depth, complete, and unified theoretical discussion of the two most important classes of algorithms for solving matrix eigenvalue problems: QR-like algorithms for dense problems and Krylov subspace methods for sparse problems. The author discusses the theory of the generic GR algorithm, including special cases (for example, QR, SR, HR), and the development of Krylov subspace methods. This book also addresses a generic Krylov process and the Arnoldi and various Lanczos algorithms, which are obtained as special cases. Theoretical and computational exercises guide students, step by step, to the results. Downloadable MATLAB programs, compiled by the author, are available on a supplementary Web site. Readers of this book are expected to be familiar with the basic ideas of linear algebra and to have had some experience with matrix computations. Ideal for graduate students, or as a reference book for researchers and users of eigenvalue codes.

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452

Publisher

SIAM

Published Date

ISBN 10

0898717809

ISBN 13

9780898717808

Invitation to Linear Algebra

By: David C. Mello

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Invitation to Linear Algebra

By: David C. Mello

Unlike most books of this type, the book has been organized into “lessons” rather than chapters. This has been done to limit the size of the mathematical morsels that students must digest during each class, and to make it easier for instructors to budget class time. The book contains considerably more material than normally appears in a first course. For example, several advanced topics such as the Jordan canonical form and matrix power series have been included. This was done to make the book more flexible than most books presently available, and to allow instructors to choose enrichment material which may reflect their interests, and those of their students.

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339

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CRC Press

Published Date

ISBN 10

1498779581

ISBN 13

9781498779586

Nonlinear Computational Solid Mechanics

By: Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu

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Nonlinear Computational Solid Mechanics

By: Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu

This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.

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397

Publisher

CRC Press

Published Date

ISBN 10

1498746136

ISBN 13

9781498746137

Cotman in the North

Watercolours of Durham and Yorkshire

By: David Hill,John Sell Cotman

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Cotman in the North

Watercolours of Durham and Yorkshire

By: David Hill,John Sell Cotman

Every major painting, related studies, and the author's own photographs of the locations in which Cotman worked are included in this book, as well as a wealth of new documentary evidence of his time with the Cholmeleys."--BOOK JACKET.

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208

Publisher

Yale University Press

Published Date

ISBN 10

0300107048

ISBN 13

9780300107043

Representation Theory and Complex Analysis

Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004

By: Michael Cowling,Edward Frenkel,Masaki Kashiwara,Alain Valette,David A. Vogan,Nolan R. Wallach

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Representation Theory and Complex Analysis

Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004

By: Michael Cowling,Edward Frenkel,Masaki Kashiwara,Alain Valette,David A. Vogan,Nolan R. Wallach

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

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Page Count

400

Publisher

Springer

Published Date

ISBN 10

3540768920

ISBN 13

9783540768920

Commutative Algebra

with a View Toward Algebraic Geometry

By: David Eisenbud

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Commutative Algebra

with a View Toward Algebraic Geometry

By: David Eisenbud

This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.

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784

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461253500

ISBN 13

9781461253501

Book's by David Cayley

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