Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.
The book is devoted to nonstandard set theories that serve as foundational basis for nonstandard mathematics. Several popular and some less known nonstandard theories are considered, including internal set theory IST, Hrbacek set theory HST, and others. The book presents the basic structure of the set universe of these theories and methods to effectively develop "applied" nonstandard analysis, metamathematical properties and interrelations of these nonstandard theories between each other and with ZFC and some variants of ZFC, foundational problems of the theories, including the problem of external sets and the Power Set problem, and methods of their solution. The book is oriented towards a reader having some experience in foundations (set theory, model theory) and in nonstandard analysis.
This book uses constitutional analysis and theory to explore the transformation of Europe from the post-war era until the Euro-crisis. Authoritarian liberalism has developed over these years and, as the book suggests, is now perhaps reaching its limit. This book uses history and theory to reveal the EU's journey and highlight future challenges.
Der relativ einfache quadratische Fall wurde zuerst 1923 von Hecke gelöst, dann 1964 von Weil in die Darstellung mit unitären Gruppen übertragen. Der analytische Beweis des allgemeinen Falls n-ter Ordnung steht bis heute noch aus. Beiträge etlicher Zahlentheoretiker zum Problem der Reziprozitätsgesetze faßt der Autor dieses Buch zusammen, diskutiert sie verallgemeinernd und zeigt Ansätze zur Lösung des Hecke-Problems auf. (08/00)
Resnik expresses his commitment to a structuralist philosophy of mathematics and links this to a defence of realism about the metaphysics of mathematics - the view that mathematics is about things that really exist.
Disruptive Power examines a surprising revival of faith in Catholic miracles in Germany from the 1920s to the 1960s. The book follows the dramatic stigmata of Therese Neumann of Konnersreuth and her powerful circle of followers that included theologians, Cardinals, politicians, journalists, monarchists, anti-fascists, and everyday pilgrims. Disruptive Power explores how this and other similar groups negotiated the precariousness of the Weimar Republic, the repression of the Third Reich, and the dynamic early years of the Federal Republic. Analyzing a network of rebellious traditionalists, O’Sullivan illustrates the divisions that characterized the German Catholic minority as they endured the tumultuous era of the world wars. Analyzing material from archives in Germany and the United States, Michael E. O’Sullivan investigates the unsanctioned but very popular visions in several rural towns after World War II, providing micro-histories that illuminate the impact of mystical faith on religiosity, politics, and gender norms.
This book deals with the determinants of linear operators in Euclidean, Hilbert and Banach spaces. Determinants of operators give us an important tool for solving linear equations and invertibility conditions for linear operators, enable us to describe the spectra, to evaluate the multiplicities of eigenvalues, etc. We derive upper and lower bounds, and perturbation results for determinants, and discuss applications of our theoretical results to spectrum perturbations, matrix equations, two parameter eigenvalue problems, as well as to differential, difference and functional-differential equations.
The Buffalo Mafia is a well-known myth that permeates the gray city streets. Talk of its presence and actions have been discouraged or scoffed at for years. Yet for Rex Carlton, that myth is going to become very, very real. As the lead bike courier for Zippee Messengers, Rex rides these city streets every day, delivering important correspondence while dodging both pedestrians and cars. When he accidentally slams into a stranger, Rex is unaware that he has crossed paths with an influential mobster, or that his life is suddenly on the line. A chance encounter and a dropped bag throw him down a rabbit hole of danger, intrigue and Mafia connections that could rock the entire city to the ground. Includes discussion guide.
If game theory, the mathematical simulation of rational decision-making first axiomatically established by the Hungarian-born American mathematician John von Neumann, is to prove worthy of literary hermeneutics, then critics must be able to apply its models to texts written without a working knowledge of von Neumann's discipline in mind. Reading such iconic novels as Fahrenheit 451, In Cold Blood, and Kiss Tomorrow Goodbye from the perspective of the four most frequently encountered coordination problems - the Stag Hunt, the Prisoner's Dilemma, Chicken, and Deadlock, Game Theory and Postwar American Literature illustrates the significant contribution of mathematical models to literary interpretation. The interdisciplinary approach of this book contributes to an understanding of the historical, political, and social contexts that surround the texts produced in the post-Cold War years, as well as providing a comprehensive model of joining game theory and literary criticism.
Praise for the previous edition: “…ample information for reports.”—School Library Journal During the first half of the 20th century, mathematics became an international discipline that led to major advances in science and technology. Modern Mathematics, Updated Edition provides an eye-opening introduction to those five historic decades by analyzing the advancement of the field through the accomplishments of 10 significant mathematicians. From David Hilbert and Emmy Noether, who introduced the infinite dimensional vector spaces and algebraic rings that bear their names, to Norbert Wiener, the founder of cybernetics, this in-depth title covers the early 20th-century advancements that expanded the field of mathematics and transformed the way that mathematicians do their work. This edition is ideal for middle and high school students seeking resources for research or general interest.
A friend of Jung and Winnicott, Michael Fordham was co-editor of the collected works of Jung and the first editor of the Journal of Anaylytical Psychology. Freud, Jung, Klein - The Fenceless Field draws together his key writings on the relationship between psychoanalysis and analytical psychology.
A comprehensive dictionary listing all the people whose names are commemorated in the English and scientific names of birds. Birdwatchers often come across bird names that include a person's name, either in the vernacular (English) name or latinised in the scientific nomenclature. Such names are properly called eponyms, and few people will not have been curious as to who some of these people were (or are). Names such as Darwin, Wallace, Audubon, Gould and (Gilbert) White are well known to most people. Keener birders will have yearned to see Pallas's Warbler, Hume's Owl, Swainson's Thrush, Steller's Eider or Brünnich's Guillemot. But few people today will have even heard of Albertina's Myna, Barraband's Parrot, Guerin's Helmetcrest or Savigny's Eagle Owl. This extraordinary work lists more than 4,000 eponymous names covering 10,000 genera, species and subspecies of birds. Every taxon with an eponymous vernacular or scientific name (whether in current usage or not) is listed, followed by a concise biography of the person concerned. These entries vary in length from a few lines to several paragraphs, depending on the availability of information or the importance of the individual's legacy. The text is punctuated with intriguing or little-known facts, unearthed in the course of the authors' extensive research. Ornithologists will find this an invaluable reference, especially to sort out birds named after people with identical surnames or in situations where only a person's forenames are used. But all birders will find much of interest in this fascinating volume, a book to dip into time and time again whenever their curiosity is aroused.
The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory.
In these notes the author presents a complete theory of classification of E0-semigroups by product systems of correspondences. As an application of his theory, he answers the fundamental question if a Markov semigroup admits a dilation by a cocycle perturbations of noise: It does if and only if it is spatial.
This book provides a balanced but critical discussion of the contribution of American intelligence officials to the Nuremberg war crimes trials process, and reviews recently declassified CIA documents.
Programming Language Pragmatics, Third Edition, is the most comprehensive programming language book available today. Taking the perspective that language design and implementation are tightly interconnected and that neither can be fully understood in isolation, this critically acclaimed and bestselling book has been thoroughly updated to cover the most recent developments in programming language design, inclouding Java 6 and 7, C++0X, C# 3.0, F#, Fortran 2003 and 2008, Ada 2005, and Scheme R6RS. A new chapter on run-time program management covers virtual machines, managed code, just-in-time and dynamic compilation, reflection, binary translation and rewriting, mobile code, sandboxing, and debugging and program analysis tools. Over 800 numbered examples are provided to help the reader quickly cross-reference and access content. This text is designed for undergraduate Computer Science students, programmers, and systems and software engineers. - Classic programming foundations text now updated to familiarize students with the languages they are most likely to encounter in the workforce, including including Java 7, C++, C# 3.0, F#, Fortran 2008, Ada 2005, Scheme R6RS, and Perl 6. - New and expanded coverage of concurrency and run-time systems ensures students and professionals understand the most important advances driving software today. - Includes over 800 numbered examples to help the reader quickly cross-reference and access content.
In this two-volume work, writing for a general audience, Dr Michael Gurvitch proposes a unifying concept of electronics which combines the history of electronics with the science of evolution. Drawing on his long experience in scientific development, Gurvitch illuminates electronics from the inside using the point of view of a practicing scientist. What is elusive and often overlooked becomes palpable, engaging and even humorous with the author's tireless and methodical exposition of fundamental scientific roots from which electronics grew and continues to grow.This set contains both volumes of Brave New e-World, presenting the historical review of electronics from the middle of the 18th century to the present day. From the telegraph to the quantum computer and superconductors, Gurvitch combines personal recollections with scientific knowledge to advance the final thesis: the representation of a new non-biological evolution in electronics. This is all done in an intellectually engaging way: spiced by historical anecdotes, warmed by Gurvitch's enthusiastic love for science, and completed with the full participation of the reader. The concluding argument on electronic evolution is alarming, but it might prove to be a necessary concern in the continual development of electronic technologies.
This book is an exploration of new age computer technology and Artificial Intelligence as well as the future of computer design which will bring A.I. into reality. This is an in depth look at the future of this technology, where it's going and what it will mean for mankind.
This interdisciplinary monograph applies the theory of games of strategy (or game theory) to an important subset of American literature: minoritarian texts. Fittingly, John von Neumann's game theory, as a mathematical subdiscipline practically abandoned by its founder after the publication of 'Zur Theorie der Gesellschaftsspiele' (1928), but purposefully reengaged with on his permanent relocation to America in 1938, carries the minoritarian credentials of a Hungarian-born national of Jewish descent. The state of international politics in the late 1930s certainly contributed to von Neumann's renewed interest in his theory, but a socioeconomic environment built on the legacy of slavery focused a reengagement with coordination problems that would last until his death. In these strategic situations, people must make choices in the knowledge that other people face the same options and that the outcome for each person will result from everybody's decisions. The four most frequently encountered coordination problems are the Stag Hunt, the Prisoner's Dilemma, Chicken, and Deadlock Minoritarians find majoritarian attempts to control these social dilemmas particularly challenging. Hence, a game-theoretically inflected hermeneutic that identifies the logical, rational, and strategic state of human interrelations not only helps to categorize, but also to analyze minoritarian texts. The authors under detailed consideration are Benjamin Franklin, Frederick Douglass, Harriet A. Jacobs, Zora Neale Hurston, William Faulkner, Toni Morrison, and Mohsin Hamid.
The Monte Carlo method is one of the top 10 algorithms in the 20th century. This book is focusing on the Monte Carlo method for solving deterministic partial differential equations (PDEs), especially its application to electronic design automation (EDA) problems. Compared with the traditional method, the Monte Carlo method is more efficient when point values or linear functional of the solution are needed, and has the advantages on scalability, parallelism, and stability of accuracy. This book presents a systematic introduction to the Monte Carlo method for solving major kinds of PDEs, and the detailed explanation of relevant techniques for EDA problems especially the cutting-edge algorithms of random walk based capacitance extraction. It includes about 100 figures and 50 tables, and brings the reader a close look to the newest research results and the sophisticated algorithmic skills in Monte Carlo simulation software.
MEDICAL DECISION MAKING Detailed resource showing how to best make medical decisions while incorporating clinical practice guidelines and decision support systems Sir William Osler, a legendary physician of an earlier era, once said, “Medicine is a science of uncertainty and an art of probability.” In Osler’s day, and now, decisions about treatment often cannot wait until the diagnosis is certain. Medical Decision Making is about how to make the best possible decision given that uncertainty. The book shows how to tailor decisions under uncertainty to achieve the best outcome based on published evidence, features of a patient’s illness, and the patient’s preferences. Medical Decision Making describes a powerful framework for helping clinicians and their patients reach decisions that lead to outcomes that the patient prefers. That framework contains the key principles of patient-centered decision-making in clinical practice. Since the first edition of Medical Decision Making in 1988, the authors have focused on explaining key concepts and illustrating them with clinical examples. For the Third Edition, every chapter has been revised and updated. Written by four distinguished and highly qualified authors, Medical Decision Making includes information on: How to consider the possible causes of a patient’s illness and decide on the probability of the most important diagnoses. How to measure the accuracy of a diagnostic test. How to help patients express their concerns about the risks that they face and how an illness may affect their lives. How to describe uncertainty about how an illness may change over time. How to construct and analyze decision trees. How to identify the threshold for doing a test or starting treatment How to apply these concepts to the design of practice guidelines and medical policy making. Medical Decision Making is a valuable resource for clinicians, medical trainees, and students of decision analysis who wish to fully understand and apply the principles of decision making to clinical practice.
The dark nights of Buffalo are complicated when a woman is found dead behind a goth club. The clues lead to a real vampire coven inside the city. Struggling bike messenger Rex Carlton ends up in the middle of the investigation and is left for dead. Rex worked in IT, a job he did not care for. Part of the reason was the sales manager, who despised him and made him hate his job. His girlfriend also dumped him, leaving his eccentric neighbor and best friend Neumann the only solace in his miserable life. When he read there was an opening for a bike messenger in Buffalo, he decided that had to be better than what he was doing. It turns out riding a bike for a living isn’t as easy as he thought. As he second guesses his decision, he ends up tangling with one of the Buffalo vampires who put a target on his back. Will the vampires kill him before the bike does? This is Book 1 of Rex Carlton Mysteries. Read the backstory and learn more about the characters, then pick up Book 2, Double Rush.
Farber examines the geometrical, topological, and dynamical properties of closed one-forms, highlighting the relations between their global and local features. He describes the Novikov numbers and inequalities, the universal complex and its construction, Bott-type inequalities and those with Von Neumann Betti numbers, equivariant theory, the exactness of Novikov inequalities, the Morse theory of harmonic forms, and Lusternick-Schnirelman theory. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).
A grand intellectual history from clay tablets to Bill Gates. Selected by Choice Magazine as an Outstanding Academic Title The late twentieth century is trumpeted as the Information Age by pundits and politicians alike, and on the face of it, the claim requires no justification. But in Information Ages, Michael E. Hobart and Zachary S. Schiffman challenge this widespread assumption. In a sweeping and captivating history of information technology from the ancient Sumerians to the world of Alan Turing and John von Neumann, the authors show how revolutions in the technology of information storage—from the invention of writing approximately 5,000 years ago to the mathematical models for describing physical reality in the seventeenth and eighteenth centuries to the introduction of computers—profoundly transformed ways of thinking.
This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.
How does creativity thrive in the face of fascism? How can a highly artistic individual function professionally in so threatening a climate? The final book in a critically acclaimed trilogy that includes Different Drummers (OUP 1992) and The Twisted Muse (OUP 1997), this is a detailed study of the often interrelated careers of eight outstanding German composers who lived and worked amid the dictatorship of the Third Reich: Werner Egk, Paul Hindemith, Kurt Weill, Karl Amadeus Hartmann, Carl Orff, Hans Pfitzner, Arnold Schoenberg, and Richard Strauss. Noted historian Michael H. Kater weighs issues of accommodation and resistance to ask whether these artists corrupted themselves in the service of a criminal regime -- and if so, whether this is evident in their music. He also considers the degrees to which the Nazis poetically, socially, economically, and aesthetically succeeded in their treatment of these individuals, whose lives and compositions represent diverse responses to totalitarianism.
Illustrated with black and white and colored prints from Edvard Munch. Original pictorial wrappers and color illustrated frontispiece. Published alongside the exhibition of the same name. "This exhibition considers Munch's relevance to a modern world through three interpretive paths." (From the forward) These paths are the technical methods Munch used as a Symbolist printmaker, his reception and exhibitions in North American, and Munch's influence in popular culture. With several essays and a chronology.
In the United States at the height of the Cold War, roughly between the end of World War II and the early 1980s, a new project of redefining rationality commanded the attention of sharp minds, powerful politicians, wealthy foundations, and top military brass. Its home was the human sciences—psychology, sociology, political science, and economics, among others—and its participants enlisted in an intellectual campaign to figure out what rationality should mean and how it could be deployed. How Reason Almost Lost Its Mind brings to life the people—Herbert Simon, Oskar Morgenstern, Herman Kahn, Anatol Rapoport, Thomas Schelling, and many others—and places, including the RAND Corporation, the Center for Advanced Study in the Behavioral Sciences, the Cowles Commission for Research and Economics, and the Council on Foreign Relations, that played a key role in putting forth a “Cold War rationality.” Decision makers harnessed this picture of rationality—optimizing, formal, algorithmic, and mechanical—in their quest to understand phenomena as diverse as economic transactions, biological evolution, political elections, international relations, and military strategy. The authors chronicle and illuminate what it meant to be rational in the age of nuclear brinkmanship.
This comprehensive handbook covers the diverse aspects of chemical vapor transport reactions from basic research to important practical applications. The book begins with an overview of models for chemical vapor transport reactions and then proceeds to treat the specific chemical transport reactions for the elements, halides, oxides, sulfides, selenides, tellurides, pnictides, among others. Aspects of transport from intermetallic phases, the stability of gas particles, thermodynamic data, modeling software and laboratory techniques are also covered. Selected experiments using chemical vapor transport reactions round out the work, making this book a useful reference for researchers and instructors in solid state and inorganic chemistry.
This book focuses on the theoretical and practical aspects of parallel programming systems for today's high performance multi-core processors and discusses the efficient implementation of key algorithms needed to implement parallel programming models. Such implementations need to take into account the specific architectural aspects of the underlying computer architecture and the features offered by the execution environment. This book briefly reviews key concepts of modern computer architecture, focusing particularly on the performance of parallel codes as well as the relevant concepts in parallel programming models. The book then turns towards the fundamental algorithms used to implement the parallel programming models and discusses how they interact with modern processors. While the book will focus on the general mechanisms, we will mostly use the Intel processor architecture to exemplify the implementation concepts discussed but will present other processor architectures where appropriate. All algorithms and concepts are discussed in an easy to understand way with many illustrative examples, figures, and source code fragments. The target audience of the book is students in Computer Science who are studying compiler construction, parallel programming, or programming systems. Software developers who have an interest in the core algorithms used to implement a parallel runtime system, or who need to educate themselves for projects that require the algorithms and concepts discussed in this book will also benefit from reading it. You can find the source code for this book at https://github.com/parallel-runtimes/lomp.
The two original volumes of the Encyclopedia of Catholic Social Thought, Social Science, and Social Policy were published in 2007. Those two volumes included 848 entries from nearly 300 contributors and included a wide range of entries in three general categories: entries exploring Catholic social thought at a theoretical level, entries reflecting the learning of various social science and humanistic disciplines as this learning relates to Catholic social thought, and entries examining specific social policy questions. This third, supplemental volume continues the approach of the original two. First, the volume includes entries that explore Catholic social thought at its broadest, most theoretical level; for example, an entry on Pope Benedict’s important social encyclical Caritas in Veritate. Second, the volume includes entries that discuss recent social science research that bears on issues important to Catholic social thought; for example, an entry on the social costs of pornography draws on recent research on the topic. Third, the volume includes entries discussing specific issues of social policy that have become increasingly important in recent years; for example, an entry on embryo adoption and/or rescue. This third volume contains 202 entirely new entries from over 100 contributors. The contributors include distinguished scholars such as Father Robert John Araujo, S.J. (Loyola University of Chicago), Father Kevin L. Flannery, S.J. (Gregorian University), Robert P. George (Princeton University), William E. May (John Paul Institute and the Culture of Life Foundation), D. Q. McInerny (Our Lady of Guadalupe Seminary), and Michael Novak (Ave Maria University). The work will appeal to anyone who is looking for a clear and accurate introduction to Catholic social thought.
Just who was the Przewalski after whom Przewalski's horse was named? Or Husson, the eponym for the rat Hydromys hussoni? Or the Geoffroy whose name is forever linked to Geoffroy's cat? This unique reference provides a brief look at the real lives behind the scientific and vernacular mammal names one encounters in field guides, textbooks, journal articles, and other scholarly works. Arranged to mirror standard dictionaries, the more than 1,300 entries included here explain the origins of over 2,000 mammal species names. Each bio-sketch lists the scientific and common-language names of all species named after the person, outlines the individual's major contributions to mammalogy and other branches of zoology, and includes brief information about his or her mammalian namesake's distribution. The two appendixes list scientific and common names for ease of reference, and, where appropriate, individual entries include mammals commonly -- but mistakenly -- believed to be named after people. The Eponym Dictionary of Mammals is a highly readable and informative guide to the people whose names are immortalized in mammal nomenclature.
The Roman architect and engineer Vitruvius declared firmitas, utilitas, and venustas-firmness, commodity, and delight- to be the three essential attributes of architecture. These qualities are brilliantly explored in this book, which uniquely comprises both a detailed survey of Western architecture, including Pre-Columbian America, and an introduction to architecture from the Middle East, India, Russia, China, and Japan. The text encourages readers to examine closely the pragmatic, innovative, and aesthetic attributes of buildings, and to imagine how these would have been praised or criticized by contemporary observers. Artistic, economic, environmental, political, social, and technological contexts are discussed so as to determine the extent to which buildings met the needs of clients, society at large, and future generations.
The completely revised and updated, definitive resource for students and professionals in organic chemistry The revised and updated 8th edition of March's Advanced Organic Chemistry: Reactions, Mechanisms, and Structure explains the theories of organic chemistry with examples and reactions. This book is the most comprehensive resource about organic chemistry available. Readers are guided on the planning and execution of multi-step synthetic reactions, with detailed descriptions of all the reactions The opening chapters of March's Advanced Organic Chemistry, 8th Edition deal with the structure of organic compounds and discuss important organic chemistry bonds, fundamental principles of conformation, and stereochemistry of organic molecules, and reactive intermediates in organic chemistry. Further coverage concerns general principles of mechanism in organic chemistry, including acids and bases, photochemistry, sonochemistry and microwave irradiation. The relationship between structure and reactivity is also covered. The final chapters cover the nature and scope of organic reactions and their mechanisms. This edition: Provides revised examples and citations that reflect advances in areas of organic chemistry published between 2011 and 2017 Includes appendices on the literature of organic chemistry and the classification of reactions according to the compounds prepared Instructs the reader on preparing and conducting multi-step synthetic reactions, and provides complete descriptions of each reaction The 8th edition of March's Advanced Organic Chemistry proves once again that it is a must-have desktop reference and textbook for every student and professional working in organic chemistry or related fields. Winner of the Textbook & Acadmic Authors Association 2021 McGuffey Longevity Award.
Transform your mathematics course into an engaging and mind-opening experience for even your most math-phobic students. Now in its Fourth Edition, The Heart of Mathematics: An Invitation to Effective Thinking succeeds at reaching non-math, non-science-oriented majors, encouraging them to discover the mathematics inherent in the world around them. Infused with the authors’ humor and enthusiasm throughout, The Heart of Mathematics introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.
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