Bruce Maclaurin's Books

An Introduction to Infinite Products

By: Charles H. C. Little,Kee L. Teo,Bruce van Brunt

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An Introduction to Infinite Products

By: Charles H. C. Little,Kee L. Teo,Bruce van Brunt

This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.

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Page Count

258

Publisher

Springer Nature

Published Date

ISBN 10

3030906469

ISBN 13

9783030906467

Real Analysis via Sequences and Series

By: Charles H.C. Little,Kee L. Teo,Bruce van Brunt

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Real Analysis via Sequences and Series

By: Charles H.C. Little,Kee L. Teo,Bruce van Brunt

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.

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Page Count

483

Publisher

Springer

Published Date

ISBN 10

1493926519

ISBN 13

9781493926510

Number Theory in the Spirit of Ramanujan

By: Bruce C. Berndt

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Number Theory in the Spirit of Ramanujan

By: Bruce C. Berndt

Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.

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Page Count

210

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821841785

ISBN 13

9780821841785

Ramanujan: Letters and Commentary

Letters and Commentary

By: Srinivasa Ramanujan Aiyangar,Bruce C. Berndt,Robert Alexander Rankin

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Ramanujan: Letters and Commentary

Letters and Commentary

By: Srinivasa Ramanujan Aiyangar,Bruce C. Berndt,Robert Alexander Rankin

The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996.

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Page Count

362

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821804707

ISBN 13

9780821804704

Physics of Fractal Operators

By: Bruce West,Mauro Bologna,Paolo Grigolini

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Physics of Fractal Operators

By: Bruce West,Mauro Bologna,Paolo Grigolini

This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.

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355

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387217460

ISBN 13

9780387217468

Ramanujan's Lost Notebook

By: George E. Andrews,Bruce C. Berndt

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Ramanujan's Lost Notebook

By: George E. Andrews,Bruce C. Berndt

In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan’s Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan’s life. In this book, the notebook is presented with additional material and expert commentary.

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460

Publisher

Springer Science & Business Media

Published Date

ISBN 10

038725529X

ISBN 13

9780387255293

Ramanujan’s Notebooks

Part I

By: Bruce C. Berndt

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Ramanujan’s Notebooks

Part I

By: Bruce C. Berndt

Srinivasa Ramanujan is, arguably, the greatest mathematician that India has produced. His story is quite unusual: although he had no formal education inmathematics, he taught himself, and managed to produce many important new results. With the support of the English number theorist G. H. Hardy, Ramanujan received a scholarship to go to England and study mathematics. He died very young, at the age of 32, leaving behind three notebooks containing almost 3000 theorems, virtually all without proof. G. H. Hardy and others strongly urged that notebooks be edited and published, and the result is this series of books. This volume dealswith Chapters 1-9 of Book II; each theorem is either proved, or a reference to a proof is given.

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368

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461210887

ISBN 13

9781461210887

Fundamental Concepts of Geometry

By: Bruce E. Meserve

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Fundamental Concepts of Geometry

By: Bruce E. Meserve

Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.

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Page Count

340

Publisher

Courier Corporation

Published Date

ISBN 10

048615226X

ISBN 13

9780486152264

Quantum Mechanics

An Enhanced Primer

By: Bruce Cameron Reed

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Quantum Mechanics

An Enhanced Primer

By: Bruce Cameron Reed

Quantum mechanics is one of the most fascinating elements of the physics curriculum, but its conceptual nuances and mathematical complexity can be daunting for beginning students. This user-friendly text is designed for a one-semester course which bridges the gap between sophomore-level treatments and advanced undergraduate/lower-graduate courses. Qualitative explanations and descriptions of historical background are combined with detailed mathematical analyses to help students establish a firm foundation for further study. Classical problems such potential wells, barrier penetration, alpha decay, the harmonic oscillator, and the hydrogen atom are examined in detail, and formalisms and techniques such as operators, expectation values, commutators, perturbation theory, numerical solutions, and the variational theorem are also covered. Particular emphasis is placed on providing numerous worked examples and exercises.

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Page Count

407

Publisher

Springer Nature

Published Date

ISBN 10

3031140206

ISBN 13

9783031140204

The Power of the Sea

Tsunamis, Storm Surges, Rogue Waves, and Our Quest to Predict Disasters

By: Bruce Parker

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The Power of the Sea

Tsunamis, Storm Surges, Rogue Waves, and Our Quest to Predict Disasters

By: Bruce Parker

The Power of the Sea describes our struggle to understand the physics of the sea, so we can use that knowledge to predict when the sea will unleash its fury against us. In a wide-sweeping narrative spanning much of human history, Bruce Parker, former chief scientist of the National Ocean Service, interweaves thrilling and often moving stories of unpredicted natural disaster with an accessible account of scientific discovery. The result is a compelling scientific journey, from ancient man's first crude tide predictions to today's advanced early warning ability based on the Global Ocean Observing System. It is a journey still underway, as we search for ways to predict tsunamis and rogue waves and critical aspects of El Niño and climate change caused by global warming.

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Page Count

509

Publisher

St. Martin's Press

Published Date

ISBN 10

0230112242

ISBN 13

9780230112247

Probability and Statistics for Economists

By: Bruce Hansen

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Probability and Statistics for Economists

By: Bruce Hansen

A comprehensive and up-to-date introduction to the mathematics that all economics students need to know Probability theory is the quantitative language used to handle uncertainty and is the foundation of modern statistics. Probability and Statistics for Economists provides graduate and PhD students with an essential introduction to mathematical probability and statistical theory, which are the basis of the methods used in econometrics. This incisive textbook teaches fundamental concepts, emphasizes modern, real-world applications, and gives students an intuitive understanding of the mathematics that every economist needs to know. Covers probability and statistics with mathematical rigor while emphasizing intuitive explanations that are accessible to economics students of all backgrounds Discusses random variables, parametric and multivariate distributions, sampling, the law of large numbers, central limit theory, maximum likelihood estimation, numerical optimization, hypothesis testing, and more Features hundreds of exercises that enable students to learn by doing Includes an in-depth appendix summarizing important mathematical results as well as a wealth of real-world examples Can serve as a core textbook for a first-semester PhD course in econometrics and as a companion book to Bruce E. Hansen’s Econometrics Also an invaluable reference for researchers and practitioners

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Page Count

417

Publisher

Princeton University Press

Published Date

ISBN 10

0691236143

ISBN 13

9780691236148

Fundamentals of Vehicle Dynamics and Modelling

A Textbook for Engineers With Illustrations and Examples

By: Bruce P. Minaker

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Fundamentals of Vehicle Dynamics and Modelling

A Textbook for Engineers With Illustrations and Examples

By: Bruce P. Minaker

An introduction to vehicle dynamics and the fundamentals of mathematical modeling Fundamentals of Vehicle Dynamics and Modeling is a student-focused textbook providing an introduction to vehicle dynamics, and covers the fundamentals of vehicle model development. It illustrates the process for construction of a mathematical model through the application of the equations of motion. The text describes techniques for solution of the model, and demonstrates how to conduct an analysis and interpret the results. A significant portion of the book is devoted to the classical linear dynamic models, and provides a foundation for understanding and predicting vehicle behaviour as a consequence of the design parameters. Modeling the pneumatic tire is also covered, along with methods for solving the suspension kinematics problem, and prediction of acceleration and braking performance. The book introduces the concept of multibody dynamics as applied to vehicles and provides insight into how large and high fidelity models can be constructed. It includes the development of a method suitable for computer implementation, which can automatically generate and solve the linear equations of motion for large complex models. Key features: ● Accompanied by a website hosting MATLAB® code. ● Supported by the Global Education Delivery channels. Fundamentals of Vehicle Dynamics and Modeling is an ideal textbook for senior undergraduate and graduate courses on vehicle dynamics.

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Page Count

210

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118980085

ISBN 13

9781118980088

A History of Scotland

By: Bruce Lenman,J.L. Mackie

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A History of Scotland

By: Bruce Lenman,J.L. Mackie

A history that is equally entertaining and enlightening, illustrating all of the changes of power and intricacies that are necessary to understand the interrelation between England and Scotland and the Highland and Lowland populations. It shows how Duncan (1034-40) emerged from 'the union of the four peoples' as the first king of a united Scotland and provides detailed, reign-by-reign accounts from then on. Above all Professor Mackie reveals how the Scots long pursued an independent line - in religion, law, culture and foreign policy - that helped them keep at bay the Romans, the French and the English.

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Page Count

416

Publisher

Penguin UK

Published Date

ISBN 10

0141927569

ISBN 13

9780141927565

Maple V Language Reference Manual

By: Bruce W. Char,Keith O. Geddes,Gaston H. Gonnet,Benton L. Leong,Michael B. Monagan,Stephen M. Watt

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Maple V Language Reference Manual

By: Bruce W. Char,Keith O. Geddes,Gaston H. Gonnet,Benton L. Leong,Michael B. Monagan,Stephen M. Watt

The design and implementation of the Maple system is an on-going project of the Symbolic Com putation Group at the University of Waterloo in Ontario, Canada. This manual corresponds with version V (roman numeral five) of the Maple system. The on-line help subsystem can be invoked from within a Maple session to view documentation on specific topics. In particular, the command ?updates points the user to documentation updates for each new version of Maple. The Maple project was first conceived in the autumn of 1980 growing out of discussions on the state of symbolic computation at the University of Waterloo. The authors wish to acknowledge many fruitful discussions with colleagues at the University of Waterloo, particularly Morven Gen tleman, Michael Malcolm, and Frank Tompa. It was recognized in these discussions that none of the locally-available systems for symbolic computation provided the facilities that should be expected for symbolic computation in modern computing environments. We concluded that since the basic design decisions for the then-current symbolic systems such as ALTRAN, CAMAL, REDUCE, and to design a new system MACSYMA were based on 1960's computing technology, it would be wise from scratch taking advantage of the software engineering technology which had become available since then, as well as drawing from the lessons of experience. Maple's basic features (e. g. elementary data structures, input/output, arithmetic with numbers, and elementary simplification) are coded in a systems programming language for efficiency.

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Page Count

275

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461573866

ISBN 13

9781461573869

Feedback Control Theory

By: John C. Doyle,Bruce A. Francis,Allen R. Tannenbaum

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Feedback Control Theory

By: John C. Doyle,Bruce A. Francis,Allen R. Tannenbaum

An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.

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Page Count

264

Publisher

Courier Corporation

Published Date

ISBN 10

0486318338

ISBN 13

9780486318332

Samuel Johnson

By: Samuel Johnson,Bruce Redford

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Samuel Johnson

By: Samuel Johnson,Bruce Redford

A one-volume collection of the prose and poetry of eighteenth-century Britain&#ldquo;s pre-eminent lexicographer, critic, biographer, and poet Samuel Johnson Samuel Johnson was eighteenth-century Britain's preeminent man of letters, and his influence endures to this day. He excelled as a moral and literary critic, biographer, lexicographer, and poet. This anthology, designed to make Johnson's essential works accessible to students and general readers, draws its texts from the definitive Yale Edition of the Works of Samuel Johnson. In most cases, texts are included in full rather than excerpted. The anthology includes many essays from The Rambler and other periodicals; Rasselas; the prefaces to Johnson's Dictionary and his edition of Shakespeare; the complete Lives of Cowley, Milton, Pope, Savage, and Gray, as well as generous selections from A Journey to the Western Islands of Scotland. Some parts are arranged thematically, allowing readers to focus on such topics as religion, marriage, war, and literature. The anthology includes a biographical introduction, and its ample annotation updates and enlarges the commentary in the YaleEdition.

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853

Publisher

Yale University Press

Published Date

ISBN 10

030011303X

ISBN 13

9780300113037

The Origins & Evolution of the Field of Industrial Relations in the United States

By: Bruce E. Kaufman

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The Origins & Evolution of the Field of Industrial Relations in the United States

By: Bruce E. Kaufman

Bruce Kaufman provides a detailed exploration of the historical development of the field of industrial relations. He identifies two distinct schools of thought evident since the field's origins in the 1920s, one centered in the study of personnel management and the other in the study of institutional labor economics. The two schools advocate contrasting approaches to the resolution of labor problems. Kaufman traces their development from a golden age in the 1950s through a period of gradual decline that accelerated in the 1980s. He contends that, in the process, the field narrowed from a broad-based consideration of the employment relationship to a more limited focus on collective bargaining.

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Page Count

308

Publisher

Cornell University Press

Published Date

ISBN 10

0875461921

ISBN 13

9780875461922

The Theory of Sound

By: John William Strutt Baron Rayleigh,Robert Bruce Lindsay

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The Theory of Sound

By: John William Strutt Baron Rayleigh,Robert Bruce Lindsay

The Nobel Laureate's classic sums up all research in the field prior to 1877, then presents Rayleigh's own original contributions. Volume Two covers aerial vibrations, vibrations in tubes, reflection and refraction of plane waves, general equations, theory of resonators, Laplace's functions and acoustics, spherical sheets of air, vibration of solid bodies, and facts and theories of audition.

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Page Count

530

Publisher

Courier Corporation

Published Date

ISBN 10

0486602931

ISBN 13

9780486602936

Maple V Library Reference Manual

By: Bruce W. Char,Keith O. Geddes,Gaston H. Gonnet,Benton L. Leong,Michael B. Monagan,Stephen Watt

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Maple V Library Reference Manual

By: Bruce W. Char,Keith O. Geddes,Gaston H. Gonnet,Benton L. Leong,Michael B. Monagan,Stephen Watt

The design and implementation of the Maple system is an on-going project of the Symbolic Com putation Group at the University of Waterloo in Ontario, Canada. This manual corresponds with version V (roman numeral five) of the Maple system. The on-line help subsystem can be invoked from within a Maple session to view documentation on specific topics. In particular, the command ?updates points the user to documentation updates for each new version of Maple. The Maple project was first conceived in the autumn of 1980, growing out of discussions on the state of symbolic computation at the University of Waterloo. The authors wish to acknowledge many fruitful discussions with colleagues at the University of Waterloo, particularly Morven Gen tleman, Michael Malcolm, and Frank Tompa. It was recognized in these discussions that none ofthe locaIly-available systems for symbolic computation provided the facilities that should be expected for symbolic computation in modern computing environments. We concluded that since the basic design decisions for the then-current symbolic systems such as ALTRAN, CAMAL, REDUCE, and MACSYMA were based on 1960's computing technology, it would be wise to design a new system "from scratch". Thus we could take advantage of the software engineering technology which had become available in recent years, as well as drawing from the lessons of experience. Maple's basic features (elementary data structures, Input/output, arithmetic with numbers, and elementary simplification) are coded in a systems programming language for efficiency.

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Page Count

722

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475721331

ISBN 13

9781475721331

Mark Of The Scots - Cl

By: Duncan A. Bruce

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Mark Of The Scots - Cl

By: Duncan A. Bruce

Here is the first-ever celebration of all things—and all people—of Scottish descent. While relatively few in number, the Scots have certainly made their mark on the world: · More the seventy-five percent of all American presidents have had Scottish ancestors, although fewer than five percent of the American population is of Scottish descent. · Almost eleven percent of all the Nobel Prizes ever awarded have involved Scots and their descendants—even though fewer than one half percent of the people of the world can claim Scottish ancestry · At least five of the twelve astronauts who have walked on the moon were descended from Scots. Today there are almost 28 million people of Scottish ancestry in the world, over 12 million of whom reside in the United States, about 4 million in Canada, and about 5 million in Scotland. Scottish accomplishments throughout history in every field of endeavor—from science to the arts to politics and exploration—rival those of even the largest ethnic groups: · Scots have been significant in most of the major inventions of the past three centuries, including the steam engine, the telegraph, the telephone, radio, television, the computer, transistor, and the motion picture · People as diverse as Sir Isaac Newton, Charles de Gaulle, Katharine Hepburn, Winston Churchill, Elizabeth Taylor, Immanuel Kant, Sir Laurence Olivier, Elvis Presley, Edvard Grieg, John D. Rockefeller, and Ty Cobb could claim Scottish ancestry · Warsaw, Madrid, La Paz, and Stockholm have all had mayors of Scottish Descent. The Mark of the Scots contains thousands of facts and is fully annotated. It is a comprehensive and readable book that deserves a place on the shelve of every genealogist, Scottish-American, and history buff.

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Page Count

432

Publisher

Citadel Press

Published Date

ISBN 10

080653768X

ISBN 13

9780806537689

The Nature of Nature

Examining the Role of Naturalism in Science

By: Bruce Gordon,William Dembski

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The Nature of Nature

Examining the Role of Naturalism in Science

By: Bruce Gordon,William Dembski

The intellectual and cultural battles now raging over theism and atheism, conservatism and secular progressivism, dualism and monism, realism and antirealism, and transcendent reality versus material reality extend even into the scientific disciplines. This stunning new volume captures this titanic clash of worldviews among those who have thought most deeply about the nature of science and of the universe itself. Unmatched in its breadth and scope, The Nature of Nature brings together some of the most influential scientists, scholars, and public intellectuals—including three Nobel laureates—across a wide spectrum of disciplines and schools of thought. Here they grapple with a perennial question that has been made all the more pressing by recent advances in the natural sciences: Is the fundamental explanatory principle of the universe, life, and self-conscious awareness to be found in inanimate matter or immaterial mind? The answers found in this book have profound implications for what it means to do science, what it means to be human, and what the future holds for all of us.

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Page Count

967

Publisher

Open Road Media

Published Date

ISBN 10

1497644372

ISBN 13

9781497644373

Hecke's Theory of Modular Forms and Dirichlet Series

By: Bruce C. Berndt,Marvin Isadore Knopp

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Hecke's Theory of Modular Forms and Dirichlet Series

By: Bruce C. Berndt,Marvin Isadore Knopp

Cyber security, encompassing both information and network security, is of utmost importance in today's information age. Cyber Security Standards, Practices and Industrial Applications: Systems and Methodologies details the latest and most important advances in security standards. First, it introduces the differences between information security (covers the understanding of security requirements, classification of threats, attacks and information protection systems and methodologies) and network security (includes both security protocols as well as systems which create a security perimeter around networks for intrusion detection and avoidance). In addition, the book serves as an essential reference to students, researchers, practitioners, and consultants in the area of social media, cyber security and information, and communication technologies (ICT).

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Page Count

150

Publisher

World Scientific

Published Date

ISBN 10

9812706356

ISBN 13

9789812706355

The Psalms as Christian Worship

An Historical Commentary

By: Bruce K. Waltke,James M. Houston

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The Psalms as Christian Worship

An Historical Commentary

By: Bruce K. Waltke,James M. Houston

This commentary uniquely combines a verse-by-verse exposition of the Hebrew text of selected Psalms with a history of their interpretation in the Church from the time of the apostles to the present. / Bruce K. Waltke begins the collaboration by first skillfully establishing the meaning of the chosen psalms through careful exegesis in which each text is interpreted in light of its historical backgrounds, its literary form, and the poet’s rhetoric. James M. Houston then exposits each text’s relevance in conjunction with the Church’s interpretation of it throughout her history. To further the accuracy of this interpretation, he commissioned fresh translations of numerous Latin and Middle English texts. / The authors’ purpose in creating this volume was not merely to produce a masterful commentary. Rather, they wished to aid in enriching the daily life of the contemporary Christian and to deepen the church’s community. Waltke and Houston here bring together the two voices of the Holy Spirit — heard infallibly in Scripture and edifyingly in the Church’s response — in a rare and illuminating combination.

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Page Count

639

Publisher

Wm. B. Eerdmans Publishing

Published Date

ISBN 10

1467433799

ISBN 13

9781467433792

Practical Chemical Thermodynamics for Geoscientists

By: Bruce Fegley,Rose Osborne

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Practical Chemical Thermodynamics for Geoscientists

By: Bruce Fegley,Rose Osborne

-- Presents brief historical summaries and biographies of key thermodynamics scientists alongside the fundamentals they were responsible for.

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Page Count

816

Publisher

Academic Press

Published Date

ISBN 10

012251100X

ISBN 13

9780122511004

Mathematical Essays in honor of Gian-Carlo Rota

By: Bruce Sagan,Richard Stanley

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Mathematical Essays in honor of Gian-Carlo Rota

By: Bruce Sagan,Richard Stanley

In April of 1996 an array of mathematicians converged on Cambridge, Massachusetts, for the Rotafest and Umbral Calculus Workshop, two con ferences celebrating Gian-Carlo Rota's 64th birthday. It seemed appropriate when feting one of the world's great combinatorialists to have the anniversary be a power of 2 rather than the more mundane 65. The over seventy-five par ticipants included Rota's doctoral students, coauthors, and other colleagues from more than a dozen countries. As a further testament to the breadth and depth of his influence, the lectures ranged over a wide variety of topics from invariant theory to algebraic topology. This volume is a collection of articles written in Rota's honor. Some of them were presented at the Rotafest and Umbral Workshop while others were written especially for this Festschrift. We will say a little about each paper and point out how they are connected with the mathematical contributions of Rota himself.

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488

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817638725

ISBN 13

9780817638726

Ramanujan: Essays and Surveys

Essays and Surveys

By: Bruce C. Berndt

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Ramanujan: Essays and Surveys

Essays and Surveys

By: Bruce C. Berndt

This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader. The book opens with the only four existing photographs of Ramanujan, presenting historical accounts of them and information about other people in the photos. This section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R. A. Rankin, the British physician D. A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of his symptoms, a convincing diagnosis of the cause of his death, and a thorough exposition of Ramanujan's life as a patient in English sanitariums and nursing homes. Following this are biographies of S. Janaki (Mrs. Ramanujan) and S. Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first communicated Ramanujan's work to the Journal of the Indian Mathematical Society. The last half of the book begins with a section on ``Ramanujan's Manuscripts and Notebooks''. Included is an important article by G. E. Andrews on Ramanujan's lost notebook. The final two sections feature both nontechnical articles, such as Jonathan and Peter Borwein's ``Ramanujan and pi'', and more technical articles by Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson. This volume complements the book Ramanujan: Letters and Commentary, Volume 9, in the AMS series, History of Mathematics. For more on Ramanujan, see these AMS publications Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, Volume 136.H, and Collected Papers of Srinivasa Ramanujan, Volume 159.H, in the AMS Chelsea Publishing series.

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388

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American Mathematical Soc.

Published Date

ISBN 10

0821826247

ISBN 13

9780821826249

Microcomputers and Mathematics

By: James William Bruce,P. J. Giblin,P. J. Rippon

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Microcomputers and Mathematics

By: James William Bruce,P. J. Giblin,P. J. Rippon

The purpose of this book is to give those with some mathematical background a wealth of material with which to appreciate both the power of the microcomputer and its relevance to the study of mathematics. Topics covered include number theory, approximate solutions and differential equations.

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448

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Cambridge University Press

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0521312388

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9780521312387

The Mark of the Scots

Their Astonishing Contributions to History, Science, Democracy, Literature, and the Arts

By: Duncan A. Bruce

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The Mark of the Scots

Their Astonishing Contributions to History, Science, Democracy, Literature, and the Arts

By: Duncan A. Bruce

Here is the first-ever celebration of all things - and all people - of Scottish descent. Today there are almost 28 million people of Scottish ancestry in the world, over 12 million of whom reside in the United States, about 4 million in Canada, and 5 million in Scotland. Scottish accomplishments throughout history in every field of endeavor - from science to the arts to politics and exploration - rival those of even the largest ethnic groups: Scots have been significant in most of the major inventions of the past three centuries, including the steam engine, the telegraph, the telephone, radio, television, the computer, the transistor, and the motion picture; People as diverse as Sir Isaac Newton, Charles de Gaulle, Katherine Hepburn, Winston Churchill, Elizabeth Taylor, Immanuel Kant, Sir Laurence Olivier, Elvis Presley, Edvard Grieg, John D. Rockefeller, and Ty Cobb could claim Scottish ancestry; and Warsaw, Madrid, La Paz, and Stockholm have all had mayors of Scottish descent. The Mark of the Scots contains thousands of facts and is fully annotated. It is a comprehensive and readable book that deserves a place on the shelf of every genealogist, Scottish-American, and history buff.

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404

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Citadel Press

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0806520604

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9780806520605

Book's by Bruce Maclaurin

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