John M.H. Olmsted's Books

The Real Number System

By: John M. H. Olmsted

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Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises—more than 300, all with answers provided—make this a particularly valuable book for self-study. The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.

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Page Count

241

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Courier Dover Publications

Published Date

ISBN 10

0486834743

ISBN 13

9780486834740

The Real Number System

By: John M. H. Olmsted

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The Real Number System

By: John M. H. Olmsted

Concise but thorough and systematic, this categorical discussion presents a series of step-by-step axioms. The highly accessible text includes numerous examples and more than 300 exercises, all with answers. 1962 edition.

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241

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Courier Dover Publications

Published Date

ISBN 10

048682764X

ISBN 13

9780486827643

Basic Real and Abstract Analysis

By: John F. Randolph

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Basic Real and Abstract Analysis

By: John F. Randolph

Basic Real and Abstract Analysis focuses on the processes, methodologies, and approaches involved in the process of abstraction of mathematical problems. The book first offers information on orientation and sets and spaces, including equivalent and infinite sets, metric spaces, cardinals, distance and relative properties, real numbers, and absolute value and inequalities. The text then takes a look at sequences and series and measure and integration. Topics include rings and additivity, Lebesgue integration, outer measures and measurability, extended real number system, sequences in metric spaces, and series of real numbers. The publication ponders on measure theory, continuity, derivatives, and Stieltjes integrals. Discussions focus on integrators of bounded variation, Lebesgue integral relations, exponents and logarithms, bounded variation, mean values, trigonometry, and Fourier series. The manuscript is a valuable reference for mathematicians and researchers interested in the process of abstraction of mathematical equations.

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Page Count

528

Publisher

Elsevier

Published Date

ISBN 10

1483272753

ISBN 13

9781483272757

Counterexamples in Analysis

By: Bernard R. Gelbaum,John M. H. Olmsted

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Counterexamples in Analysis

By: Bernard R. Gelbaum,John M. H. Olmsted

These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.

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226

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Courier Corporation

Published Date

ISBN 10

0486134911

ISBN 13

9780486134918

Theorems and Counterexamples in Mathematics

By: Bernard R. Gelbaum,John M.H. Olmsted

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Theorems and Counterexamples in Mathematics

By: Bernard R. Gelbaum,John M.H. Olmsted

The gratifying response to Counterexamples in analysis (CEA) was followed, when the book went out of print, by expressions of dismay from those who were unable to acquire it. The connection of the present volume with CEA is clear, although the sights here are set higher. In the quarter-century since the appearance of CEA, mathematical education has taken some large steps reflected in both the undergraduate and graduate curricula. What was once taken as very new, remote, or arcane is now a well-established part of mathematical study and discourse. Consequently the approach here is designed to match the observed progress. The contents are intended to provide graduate and ad vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. The items included are presented in the spirit of a conversation among mathematicians who know the language but are interested in some of the ramifications of the subjects with which they routinely deal. Although such an approach might be construed as demanding, there is an extensive GLOSSARY jlNDEX where all but the most familiar notions are clearly defined and explained. The object ofthe body of the text is more to enhance what the reader already knows than to review definitions and notations that have become part of every mathematician's working context.

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Page Count

339

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461209935

ISBN 13

9781461209935

Introduction to Probability

By: John E. Freund

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Introduction to Probability

By: John E. Freund

Featured topics include permutations and factorials, probabilities and odds, frequency interpretation, mathematical expectation, decision making, postulates of probability, rule of elimination, much more. Exercises with some solutions. Summary. 1973 edition.

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276

Publisher

Courier Corporation

Published Date

ISBN 10

0486158438

ISBN 13

9780486158433

Introduction to Linear Algebra and Differential Equations

By: John W. Dettman

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Introduction to Linear Algebra and Differential Equations

By: John W. Dettman

Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

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Page Count

442

Publisher

Courier Corporation

Published Date

ISBN 10

0486158314

ISBN 13

9780486158310

Statistical Fluid Mechanics

Mechanics of Turbulence

By: Andre? Sergeevich Monin,A. M. I?A?glom,John Leask Lumley

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Statistical Fluid Mechanics

Mechanics of Turbulence

By: Andre? Sergeevich Monin,A. M. I?A?glom,John Leask Lumley

If ever a book on turbulence could be called definitive," declared Science, "it is this book by two of Russia's most eminent and productive scientists in turbulence, oceanography, and atmospheric physics." Noted for its clarity as well as its comprehensive treatment, this two-volume set serves as text or reference. 1975 edition.

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Page Count

898

Publisher

Courier Corporation

Published Date

ISBN 10

0486458911

ISBN 13

9780486458915

Toposes and Local Set Theories

An Introduction

By: John L. Bell

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Toposes and Local Set Theories

An Introduction

By: John L. Bell

This text introduces topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and intuitionistic logic. Topics include local set theories, fundamental properties of toposes, sheaves, local-valued sets, and natural and real numbers in local set theories. 1988 edition.

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Page Count

290

Publisher

Courier Corporation

Published Date

ISBN 10

0486462862

ISBN 13

9780486462868

Topology

By: John Gilbert Hocking,Gail S. Young

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Topology

By: John Gilbert Hocking,Gail S. Young

Designed as a text for a one-year first course in topology, this authoritative volume offers an excellent general treatment of the main ideas of topology. It includes a large number and variety of topics from classical topology as well as newer areas of research activity.

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404

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Courier Corporation

Published Date

ISBN 10

0486656764

ISBN 13

9780486656762

Attention, Genes, and Developmental Disorders

By: Kim Cornish,John Wilding

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Attention, Genes, and Developmental Disorders

By: Kim Cornish,John Wilding

What is attention? How does it go wrong? Do attention deficits arise from genes or from the environment? Can we cure it with drugs or training? Are there disorders of attention other than deficit disorders? The past decade has seen a burgeoning of research on the subject of attention. This research has been facilitated by advances on several fronts: New methods are now available for viewing brain activity in real time, there is expanding information on the complexities of the biochemistry of neural activity, individual genes can be isolated and their functions identified, analysis of the component processes included under the broad umbrella of "attention" has become increasingly sophisticated, and ingenious methods have been devised for measuring typical and atypical development of these processes, from infancy into childhood, and then into adulthood. In this book, Kim Cornish and John Wilding are concerned with attention and its development, both typical and atypical, particularly in disorders with a known genetic etiology or assumed genetic linkage. Tremendous advances across seemingly diverse disciplines - molecular genetics, pediatric neurology, child psychiatry, developmental cognitive neuroscience, and education - have culminated in a wealth of new methods for elucidating disorders at multiple levels, possibly paving the way for new treatment options. Cornish and Wilding use three specific-yet-interlinking levels of analysis: genetic blueprint (genotype), the developing brain, and the behavioral-cognitive outcomes (phenotype), as the basis for charting the attention profiles of six well-documented neurodevelopmental disorders: ADHD, autism, fragile X syndrome, Down syndrome, Williams syndrome, and 22q11 deletion syndrome. Their overarching aim in this book is to provide the most authoritative and extensive account to date of disorder-specific attention profiles and their development from infancy through adolescence.

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Page Count

595

Publisher

Oxford University Press

Published Date

ISBN 10

0199720673

ISBN 13

9780199720675

Atomic Spectra and Atomic Structure

By: Gerhard Herzberg,John William Tranter Spinks

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Atomic Spectra and Atomic Structure

By: Gerhard Herzberg,John William Tranter Spinks

For beginners and specialists in other fields: the Nobel Laureate's introduction to atomic spectra and their relationship to atomic structures, stressing basics in a physical, rather than mathematical, treatment. 80 illustrations.

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292

Publisher

Courier Corporation

Published Date

ISBN 10

0486601153

ISBN 13

9780486601151

The Mathematics of Games

By: John D. Beasley

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The Mathematics of Games

By: John D. Beasley

Mind-exercising and thought-provoking."—New Scientist If playing games is natural for humans, analyzing games is equally natural for mathematicians. Even the simplest of games involves the fundamentals of mathematics, such as figuring out the best move or the odds of a certain chance event. This entertaining and wide-ranging guide demonstrates how simple mathematical analysis can throw unexpected light on games of every type—games of chance, games of skill, games of chance and skill, and automatic games. Just how random is a card shuffle or a throw of the dice? Is bluffing a valid poker strategy? How can you tell if a puzzle is unsolvable? How large a role does luck play in games like golf and soccer? This book examines each of these issues and many others, along with the general principles behind such classic puzzles as peg solitaire and Rubik's cube. Lucid, instructive, and full of surprises, it will fascinate mathematicians and gamesters alike.

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Page Count

334

Publisher

Courier Corporation

Published Date

ISBN 10

048615162X

ISBN 13

9780486151625

Legislators of the Massachusetts General Court, 1691-1780

A Biographical Dictionary

By: John A. Schutz

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Legislators of the Massachusetts General Court, 1691-1780

A Biographical Dictionary

By: John A. Schutz

This single volume contains meticulously researched biographies of the men who served as representatives in the General Court from the Charter of 1691 to the end of the American Revolution. Schutz also provides readers with enlightening essays on the history and workings of the Massachusetts General Court, and its influence in shaping the political and cultural milieux of colonial and revolutionary America.

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Page Count

458

Publisher

UPNE

Published Date

ISBN 10

1555533043

ISBN 13

9781555533045

Doggett's New York City Directory

By: John Doggett

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Doggett's New York City Directory

By: John Doggett

Reprint of the original, first published in 1845.

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Page Count

470

Publisher

BoD – Books on Demand

Published Date

ISBN 10

3385263557

ISBN 13

9783385263550

Cognitive Vulnerability to Emotional Disorders

By: Lauren B. Alloy,John H. Riskind

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Cognitive Vulnerability to Emotional Disorders

By: Lauren B. Alloy,John H. Riskind

In this book, which advances clinical science and clinical practice, experts present the broad synthesis of what we have learnt about nature, origins, and clinical ramifications of the general and specific cognitive factors that seem to play a crucial role in creating and maintaining vulnerability across the spectrum of emotional disorders.

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Page Count

462

Publisher

Routledge

Published Date

ISBN 10

1135648786

ISBN 13

9781135648787

Before Renaissance

Planning in Pittsburgh, 1889-1943

By: John F. Bauman,Edward K. Muller

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Before Renaissance

Planning in Pittsburgh, 1889-1943

By: John F. Bauman,Edward K. Muller

Before Renaissance examines a half-century epoch during which planners, public officials, and civic leaders engaged in a dialogue about the meaning of planning and its application for improving life in Pittsburgh.Planning emerged from the concerns of progressive reformers and businessmen over the social and physical problems of the city. In the Steel City enlightened planners such as Frederick Law Olmsted, Jr., and Frederick Bigger pioneered the practical approach to reordering the chaotic urban-industrial landscape. In the face of obstacles that included the embedded tradition of privatism, rugged topography, inherited built environment, and chronic political fragmentation, they established a tradition of modern planning in Pittsburgh.Over the years a melange of other distinguished local and national figures joined in the planning dialogue, among them the park founder Edward Bigelow, political bosses Christopher Magee and William Flinn, mayors George Guthrie and William Magee, industrialists Andrew Carnegie and Howard Heinz, financier Richard King Mellon, and planning luminaries Charles Mulford Robinson, Frederick Law Olmsted Jr., Harland Bartholomew, Robert Moses, and Pittsburgh's Frederick Bigger. The famed alliance of Richard King Mellon and Mayor David Lawrence, which heralded the Renaissance, owed a great debt to Pittsburgh's prior planning experience. John Bauman and Edward Muller recount the city's long tradition of public/private partnerships as an important factor in the pursuit of orderly and stable urban growth. Before Renaissance provides insights into the major themes, benchmarks, successes, and limitations that marked the formative days of urban planning. It defines Pittsburgh's key role in the vanguard of the national movement and reveals the individuals and processes that impacted the physical shape and form of a city for generations to come.

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Page Count

348

Publisher

University of Pittsburgh Pre

Published Date

ISBN 10

0822973057

ISBN 13

9780822973058

Eco-Landscape Design

By: John A. Flannery,Karen M. Smith

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Eco-Landscape Design

By: John A. Flannery,Karen M. Smith

The ability to adapt to a changing environment has ensured the continued survival of the human race into the 21st century. The challenges to be faced in this century are now well documented by the United Nations Intergovernmental Panel on Climate Change. The effects of drought, melting polar ice and increased incidences of extreme weather events will impact on the diverse landscapes of the earth and a human population predicted to be 9 billion by the middle of the 21st century, a three-fold increase in less than one hundred years. This book provides a valuable insight into landscaping activity worldwide by those tasked with housing, feeding and nurturing all species that share the planet. Research for this publication reveals the growth of non-anthropized design philosophies, acknowledging that humanity cannot be indefinitely sustained if animal, bird and plant life are excluded. The precious resources of water and the air that we breathe are no longer taken for granted; rivers flowing through the world’s mega-cities are now being cleaned, restored and given pride of place in the landscapes they flow through. Conservation projects provide evidence that even fragile island and desert landscapes can be protected from the negative impacts of population. Eco-Landscape Design demonstrates that an intelligent and thoughtful approach to landscape design can not only ensure survival, it can reap compound benefits and rewards far in excess of those originally envisaged.

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Page Count

232

Publisher

Springer

Published Date

ISBN 10

3319072064

ISBN 13

9783319072067

Book's by John M.H. Olmsted

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