How Mathematicians Think

Download How Mathematicians Think PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 0691145997
Total Pages : 424 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!


Book Synopsis How Mathematicians Think by : William Byers

Download or read book How Mathematicians Think written by William Byers and published by Princeton University Press. This book was released on 2010-05-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

Pharmacy Workforce Support Personnel

Download Pharmacy Workforce Support Personnel PDF Online Free

Author :
Publisher : MDPI
ISBN 13 : 3039365436
Total Pages : 196 pages
Book Rating : 4.0/5 (393 download)

DOWNLOAD NOW!


Book Synopsis Pharmacy Workforce Support Personnel by : Shane P. Desselle

Download or read book Pharmacy Workforce Support Personnel written by Shane P. Desselle and published by MDPI. This book was released on 2020-12-10 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides research and commentary on pharmacy technicians. It demonstrates how the re-design of pharmacy workflow to incorporate more responsibilities for technicians will free up pharmacist time to provide direct patient care. It also highlights that doing so can be accomplished without compromising—and often even improving upon—patient safety. The book also sheds light on employer needs and on new paradigms in pharmacy technician certification, education, and training. However, it also demonstrates the need for improvements in this area, as well as improvements in pharmacy technician quality of work life, advancement opportunities, and wages. Taken together, the papers in this book demonstrate how the results of recent studies help pave the road for the continued evolution of pharmacy care and the optimal deployment of pharmacy workforce personnel.

A History of Abstract Algebra

Download A History of Abstract Algebra PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817646841
Total Pages : 175 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!


Book Synopsis A History of Abstract Algebra by : Israel Kleiner

Download or read book A History of Abstract Algebra written by Israel Kleiner and published by Springer Science & Business Media. This book was released on 2007-10-02 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.

Postclassicisms

Download Postclassicisms PDF Online Free

Author :
Publisher :
ISBN 13 : 022667231X
Total Pages : 251 pages
Book Rating : 4.2/5 (266 download)

DOWNLOAD NOW!


Book Synopsis Postclassicisms by : Postclassicisms Collective

Download or read book Postclassicisms written by Postclassicisms Collective and published by . This book was released on 2019-11-27 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Made up of nine prominent scholars, The Postclassicisms Collective aims to map a space for theorizing and reflecting on the values attributed to antiquity. The product of these reflections, Postclassicisms takes up a set of questions about what it means to know and care about Greco-Roman antiquity in our turbulent world and offers suggestions for a discipline in transformation, as new communities are being built around the study of the ancient Greco-Roman world. Structured around three primary concepts--value, time, and responsibility--and nine additional concepts, Postclassicisms asks scholars to reflect upon why they choose to work in classics, to examine how proximity to and distance from antiquity has been--and continues to be--figured, and to consider what they seek to accomplish within their own scholarly practices. Together, the authors argue that a stronger critical self-awareness, an enhanced sense of the intellectual history of the methods of classics, and a greater understanding of the ethical and political implications of the decisions that the discipline makes will lead to a more engaged intellectual life, both for classicists and, ultimately, for society. A timely intervention into the present and future of the discipline, Postclassicisms will be required reading for professional classicists and students alike and a model for collaborative disciplinary intervention by scholars in other fields.

Beyond Multiculturalism

Download Beyond Multiculturalism PDF Online Free

Author :
Publisher : Routledge
ISBN 13 : 1317174666
Total Pages : 390 pages
Book Rating : 4.3/5 (171 download)

DOWNLOAD NOW!


Book Synopsis Beyond Multiculturalism by : Giuliana B. Prato

Download or read book Beyond Multiculturalism written by Giuliana B. Prato and published by Routledge. This book was released on 2016-04-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the anthropological field initially shied away from the debate on multiculturalism, it has been widely discussed within the fields of political theory, social policy, cultural studies and law. Beyond Multiculturalism is the first volume of its kind to offer a comparative, worldwide view of multiculturalism, considering both traditional multicultural/multiethnic societies and those where cultural pluralism is relatively new. Its varied case studies focus on the intersections and relationships between cultural groups in everyday life using employment, identity, consumption, language, legislation and policy making to show the unique contribution anthropologists can bring to multiculturalism studies. Their work will be of great interest to scholars of race, ethnicity, migration, urban studies and social and cultural geography.

Mathematical Publishing

Download Mathematical Publishing PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821872598
Total Pages : 324 pages
Book Rating : 4.8/5 (725 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Publishing by : Steven George Krantz

Download or read book Mathematical Publishing written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 2005 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians are expected to publish their work: in journals, conference proceedings, and books. It is vital to advancing their careers. Later, some are asked to become editors. However, most mathematicians are trained to do mathematics, not to publish it. But here, finally, for graduate students and researchers interested in publishing their work, Steven G. Krantz, the respected author of several "how-to" guides in mathematics, shares his experience as an author, editor, editorial board member, and independent publisher. This new volume is an informative, comprehensive guidebook to publishing mathematics. Krantz describes both the general setting of mathematical publishing and the specifics about all the various publishing situations mathematicians may encounter. As with his other books, Krantz's style is engaging and frank. He gives advice on how to get your book published, how to get organized as an editor, what to do when things go wrong, and much more. He describes the people, the language (including a glossary), and the process of publishing both books and journals. Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published more than 130 research articles and 45 books. He has worked as an editor of several book series, research journals, and for the Notices of the AMS. He is also the founder of the Journal of Geometric Analysis. Other titles available from the AMS by Steven G. Krantz are How to Teach Mathematics, A Primer of Mathematical Writing, A Mathematician's Survival Guide, and Techniques of Problem Solving.

Nonplussed!

Download Nonplussed! PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 1400837383
Total Pages : 213 pages
Book Rating : 4.4/5 (8 download)

DOWNLOAD NOW!


Book Synopsis Nonplussed! by : Julian Havil

Download or read book Nonplussed! written by Julian Havil and published by Princeton University Press. This book was released on 2010-08-02 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas. Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs. Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.

Fuchsian Reduction

Download Fuchsian Reduction PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817643524
Total Pages : 296 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!


Book Synopsis Fuchsian Reduction by : Satyanad Kichenassamy

Download or read book Fuchsian Reduction written by Satyanad Kichenassamy and published by Springer Science & Business Media. This book was released on 2007-09-18 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and notes with references to the literature. This volume can be used as a text in graduate courses in PDEs and/or Algebra, or as a resource for researchers working with applications to Fuchsian Reduction. The comprehensive approach features the inclusion of problems and bibliographic notes.

Harmonic Analysis on Commutative Spaces

Download Harmonic Analysis on Commutative Spaces PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821842897
Total Pages : 408 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Harmonic Analysis on Commutative Spaces by : Joseph Albert Wolf

Download or read book Harmonic Analysis on Commutative Spaces written by Joseph Albert Wolf and published by American Mathematical Soc.. This book was released on 2007 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces.

Mathematical Olympiad Challenges

Download Mathematical Olympiad Challenges PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461221382
Total Pages : 270 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Olympiad Challenges by : Titu Andreescu

Download or read book Mathematical Olympiad Challenges written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems. Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.

The Calculus Lifesaver

Download The Calculus Lifesaver PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 0691130884
Total Pages : 752 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!


Book Synopsis The Calculus Lifesaver by : Adrian Banner

Download or read book The Calculus Lifesaver written by Adrian Banner and published by Princeton University Press. This book was released on 2007-03-25 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many students, calculus can be the most mystifying and frustrating course they will ever take. Based upon Adrian Banner's popular calculus review course at Princeton University, this book provides students with the essential tools they need not only to learn calculus, but also to excel at it.

A Company of Wayward Saints

Download A Company of Wayward Saints PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (332 download)

DOWNLOAD NOW!


Book Synopsis A Company of Wayward Saints by : George Herman

Download or read book A Company of Wayward Saints written by George Herman and published by . This book was released on 1994 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The company is a commedia dell'arte group who wander by mistake into the eye of an allegory. They are humanity, wayward saints all, who are far from home and without means. A nobleman may be their salvation if they can put on a good show for him. Surprisingly, the Company chooses to present the history of man, from the Garden of Eden through Everyman in birth, adolescence, marriage and death. Along the way they enact other wayward adventures such as the assassination of Julius Caesar and the homecoming of Odysseus. It is a fine mosaic of life redeemed by humor and human understanding."--Back cover.

Determinantal Ideals

Download Determinantal Ideals PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3764385359
Total Pages : 149 pages
Book Rating : 4.7/5 (643 download)

DOWNLOAD NOW!


Book Synopsis Determinantal Ideals by : Rosa M. Miró-Roig

Download or read book Determinantal Ideals written by Rosa M. Miró-Roig and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview of determinantal ideals includes an analysis of the latest results. Following the carefully structured presentation, you’ll develop new insights into addressing and solving open problems in liaison theory and Hilbert schemes. Three principal problems are addressed in the book: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals. The author, Rosa M. Miro-Roig, is the winner of the 2007 Ferran Sunyer i Balaguer Prize.

Algebra and Geometry

Download Algebra and Geometry PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1139443496
Total Pages : 340 pages
Book Rating : 4.1/5 (394 download)

DOWNLOAD NOW!


Book Synopsis Algebra and Geometry by : Alan F. Beardon

Download or read book Algebra and Geometry written by Alan F. Beardon and published by Cambridge University Press. This book was released on 2005-05-12 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.

The Essential John Nash

Download The Essential John Nash PDF Online Free

Author :
Publisher : Princeton University Press
ISBN 13 : 140088408X
Total Pages : 273 pages
Book Rating : 4.4/5 (8 download)

DOWNLOAD NOW!


Book Synopsis The Essential John Nash by : John Nash

Download or read book The Essential John Nash written by John Nash and published by Princeton University Press. This book was released on 2016-06-29 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well. Since then, Sylvia Nasar's celebrated biography A Beautiful Mind, the basis of a new major motion picture, has revealed the man. The Essential John Nash reveals his work--in his own words. This book presents, for the first time, the full range of Nash's diverse contributions not only to game theory, for which he received the Nobel, but to pure mathematics--from Riemannian geometry and partial differential equations--in which he commands even greater acclaim among academics. Included are nine of Nash's most influential papers, most of them written over the decade beginning in 1949. From 1959 until his astonishing remission three decades later, the man behind the concepts "Nash equilibrium" and "Nash bargaining"--concepts that today pervade not only economics but nuclear strategy and contract talks in major league sports--had lived in the shadow of a condition diagnosed as paranoid schizophrenia. In the introduction to this book, Nasar recounts how Nash had, by the age of thirty, gone from being a wunderkind at Princeton and a rising mathematical star at MIT to the depths of mental illness. In his preface, Harold Kuhn offers personal insights on his longtime friend and colleague; and in introductions to several of Nash's papers, he provides scholarly context. In an afterword, Nash describes his current work, and he discusses an error in one of his papers. A photo essay chronicles Nash's career from his student days in Princeton to the present. Also included are Nash's Nobel citation and autobiography. The Essential John Nash makes it plain why one of Nash's colleagues termed his style of intellectual inquiry as "like lightning striking." All those inspired by Nash's dazzling ideas will welcome this unprecedented opportunity to trace these ideas back to the exceptional mind they came from.

The Ricci Flow: Techniques and Applications

Download The Ricci Flow: Techniques and Applications PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821846612
Total Pages : 542 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis The Ricci Flow: Techniques and Applications by : Bennett Chow

Download or read book The Ricci Flow: Techniques and Applications written by Bennett Chow and published by American Mathematical Soc.. This book was released on 2010-04-21 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ricci flow uses methods from analysis to study the geometry and topology of manifolds. With the third part of their volume on techniques and applications of the theory, the authors give a presentation of Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject, with an emphasis on the geometric and analytic aspects. The topics include Perelman's entropy functional, point picking methods, aspects of Perelman's theory of $\kappa$-solutions including the $\kappa$-gap theorem, compactness theorem and derivative estimates, Perelman's pseudolocality theorem, and aspects of the heat equation with respect to static and evolving metrics related to Ricci flow. In the appendices, we review metric and Riemannian geometry including the space of points at infinity and Sharafutdinov retraction for complete noncompact manifolds with nonnegative sectional curvature. As in the previous volumes, the authors have endeavored, as much as possible, to make the chapters independent of each other. The book makes advanced material accessible to graduate students and nonexperts. It includes a rigorous introduction to some of Perelman's work and explains some technical aspects of Ricci flow useful for singularity analysis. The authors give the appropriate references so that the reader may further pursue the statements and proofs of the various results.

Nonlinear Oscillations of Hamiltonian PDEs

Download Nonlinear Oscillations of Hamiltonian PDEs PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817646809
Total Pages : 191 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!


Book Synopsis Nonlinear Oscillations of Hamiltonian PDEs by : Massimiliano Berti

Download or read book Nonlinear Oscillations of Hamiltonian PDEs written by Massimiliano Berti and published by Springer Science & Business Media. This book was released on 2007-10-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.