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Dr. Euler's Fabulous Formula

Author : Paul J. Nahin
Publisher : Princeton University Press
Release Date : 2017-04-04
ISBN : 0691175918
Pages : 416 pages
Rating : 4.1/5 (175 Download)

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Download Free Dr. Euler's Fabulous Formula PDF by Paul J. Nahin Full Book and published by Princeton University Press. This book was released on 2017-04-04 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula—long regarded as the gold standard for mathematical beauty—and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, this book examines the many applications of complex numbers alongside intriguing stories from the history of mathematics. Dr. Euler's Fabulous Formula is accessible to any reader familiar with calculus and differential equations, and promises to inspire mathematicians for years to come.

Euler's Pioneering Equation

Author : Robin Wilson
Publisher :
Release Date : 2019-07-17
ISBN : 0198794932
Pages : 176 pages
Rating : 4.7/5 (794 Download)

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Download Free Euler's Pioneering Equation PDF by Robin Wilson Full Book and published by . This book was released on 2019-07-17 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: In just seven symbols, with profound and beautiful simplicity, Euler's Equation connects five of the most important numbers in mathematics. Robin Wilson explores each number in turn, then brings them together to consider the power of the equation as a whole.

Antioxidants and Stem Cells for Coronary Heart Disease

Author : Philip B Oliva
Publisher : World Scientific
Release Date : 2014-01-22
ISBN : 9814602345
Pages : 632 pages
Rating : 4.6/5 (62 Download)

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Download Free Antioxidants and Stem Cells for Coronary Heart Disease PDF by Philip B Oliva Full Book and published by World Scientific. This book was released on 2014-01-22 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers two known controversial topics — antioxidants and stem cells as therapies to treat coronary heart disease. Aiming to provide college-educated but not scientifically trained readership with a wealth of information about these two cutting-edge technologies, Antioxidants and Stem Cells for Coronary Heart Disease is written with minimum scientific terminology. Basic science studies and clinical trials regarding stem cells and antioxidants are discussed and peppered with anecdotes to make them understandable and entertaining to the laymen. Contents:Part I:The French ParadoxLDL Oxidation — BrieflyAcetylation of LDLFree RadicalsThe Oxygen ParadoxRetrolental Fibroplasia from 1956 to 1972: The Quiet TimeThe Second Epidemic of Retrolental Fibroplasia: 1972–20??Cytokines and ChemokinesLDL Oxidation by Free Radicals — In DetailTwo Other Ways to Oxidize LDL: Lipoxygenase and Nitric OxideWhat is the Raison d'être for Oxidized LDL?Fatty Streaks and Foam CellsEmbryonic Stem CellsAdult Stem CellsTransgenic MicePart II:Treatment of Coronary Heart Disease with Antioxidants: An IntroductionThe Mediterranean DietAcute Myocardial Infarctions in Japan and Norway from 1910 to 1950Wine, Beer, and Spirits as AntioxidantsA Perspective on Antioxidant Vitamins for the Treatment of Coronary Heart DiseaseVitamin AThe Thalidomide SagaVitamin CVitamin EDo Combinations of Antioxidant Vitamins Work Better than Individual Vitamins in Patients with Coronary Heart Disease?A RequiemMolecular Markers, Reporter Genes and Suicide GenesStem Cells for the Heart: Hype or Hope?The PrizefightBrainbowCre/Lox: A Cut-and-Paste Method of Gene Swapping Without a Mac or PC and a New Scientific Term with Vast SignificanceBacteriophage, Transgenic Mice and Transgenic MarmosetsPhage Geometry and Soccer BallsEuler's FormulaE = mc2 and Einstein's BrainThe Manhattan Project and Its Connection with Albert EinsteinA Gadget, a Little Boy and a Fat ManCamillo Golgi and Santiago Ramón Y Cajal: Bitter Rivals to The End Readership: College-educated general public and non-scientists who are interested in the topic of antioxidants and stem cells. Key Features:The book is written in plain English and scientific jargons are explained in laymen terms“Hot topics” such as embryonic stem cells, adult stem cells and antioxidants are discussedA well-researched and colourfully illustrated book for readers of the general publicKeywords:Stem Cells;Antioxidants;Coronary Heart Disease

Leonhard Euler

Author : Ronald S. Calinger
Publisher : Princeton University Press
Release Date : 2019-12-03
ISBN : 0691196400
Pages : 696 pages
Rating : 4.1/5 (196 Download)

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Download Free Leonhard Euler PDF by Ronald S. Calinger Full Book and published by Princeton University Press. This book was released on 2019-12-03 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: An acclaimed biography of the Enlightenment's greatest mathematician This is the first full-scale biography of Leonhard Euler (1707–1783), one of the greatest mathematicians and theoretical physicists of all time. In this comprehensive and authoritative account, Ronald Calinger connects the story of Euler's eventful life to the astonishing achievements that place him in the company of Archimedes, Newton, and Gauss. Drawing on Euler's massive published works and correspondence, this biography sets Euler's work in its multilayered context—personal, intellectual, institutional, political, cultural, religious, and social. It is a story of nearly incessant accomplishment, from Euler's fundamental contributions to almost every area of pure and applied mathematics in his time—especially calculus, mechanics, and optics—to his advances in shipbuilding, telescopes, acoustics, ballistics, cartography, chronology, and music theory.

The God Secret

Author : Mike Hockney
Publisher : Lulu Press, Inc
Release Date : 2016-05-05
ISBN : 1291576843
Pages : pages
Rating : 4.5/5 (576 Download)

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Download Free The God Secret PDF by Mike Hockney Full Book and published by Lulu Press, Inc. This book was released on 2016-05-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Even God has an ultimate secret, and, since the dawn of time, humanity has sought to discover it. Our finest minds, noblest souls and most adventurous spirits have quested for the Holy Grail, the Philosopher’s Stone and the mystical Blue Flower of transcendent perfection. Prometheus stole the fire of the gods to give to humanity, and suffered a terrible punishment for his beneficence and audacity. Faust obsessively pursued the infinite and unreachable, and was willing to pay any price, even if it cost him his soul. Lowest humanity gets on its knees and belly to “God”. Highest humanity will never rest until it knows the Mind of God, and takes possession of the key to the innermost secrets of existence. This book provides the astonishing answer to the supreme question – what is the meaning of life? The answer is as wondrous as it ought to be. Despite appearances, we really do live in the best of all possible worlds, one that is gradually turning us into exactly what we want to be – the Gods themselves.

A Brief Guide to the Great Equations

Author : Robert Crease
Publisher : Hachette UK
Release Date : 2012-06-07
ISBN : 1472100174
Pages : 320 pages
Rating : 4.1/5 (1 Download)

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Download Free A Brief Guide to the Great Equations PDF by Robert Crease Full Book and published by Hachette UK. This book was released on 2012-06-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here are the stories of the ten most popular equations of all time as voted for by readers of Physics World, including - accessibly described here for the first time - the favourite equation of all, Euler's equation. Each is an equation that captures with beautiful simplicity what can only be described clumsily in words. Euler's equation [eip + 1 = 0] was described by respondents as 'the most profound mathematic statement ever written', 'uncanny and sublime', 'filled with cosmic beauty' and 'mind-blowing'. Collectively these equations also amount to the world's most concise and reliable body of knowledge. Many scientists and those with a mathematical bent have a soft spot for equations. This book explains both why these ten equations are so beautiful and significant, and the human stories behind them.

A Modern Introduction to Differential Equations

Author : Henry J. Ricardo
Publisher : Academic Press
Release Date : 2009-02-24
ISBN : 0080886035
Pages : 536 pages
Rating : 4.8/5 (886 Download)

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Download Free A Modern Introduction to Differential Equations PDF by Henry J. Ricardo Full Book and published by Academic Press. This book was released on 2009-02-24 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The discussions then cover methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linear differential equations; the Laplace transform and its applications to the solution of differential equations and systems of differential equations; and systems of nonlinear equations. Each chapter concludes with a summary of the important concepts in the chapter. Figures and tables are provided within sections to help students visualize or summarize concepts. The book also includes examples and exercises drawn from biology, chemistry, and economics, as well as from traditional pure mathematics, physics, and engineering. This book is designed for undergraduate students majoring in mathematics, the natural sciences, and engineering. However, students in economics, business, and the social sciences with the necessary background will also find the text useful. Student friendly readability- assessible to the average student Early introduction of qualitative and numerical methods Large number of exercises taken from biology, chemistry, economics, physics and engineering Exercises are labeled depending on difficulty/sophistication End of chapter summaries Group projects

Hot Molecules, Cold Electrons

Author : Paul J. Nahin
Publisher : Princeton University Press
Release Date : 2022-05-10
ISBN : 0691207844
Pages : 232 pages
Rating : 4.2/5 (27 Download)

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Download Free Hot Molecules, Cold Electrons PDF by Paul J. Nahin Full Book and published by Princeton University Press. This book was released on 2022-05-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: An entertaining mathematical exploration of the heat equation and its role in the triumphant development of the trans-Atlantic telegraph cable Heat, like gravity, shapes nearly every aspect of our world and universe, from how milk dissolves in coffee to how molten planets cool. The heat equation, a cornerstone of modern physics, demystifies such processes, painting a mathematical picture of the way heat diffuses through matter. Presenting the mathematics and history behind the heat equation, Hot Molecules, Cold Electrons tells the remarkable story of how this foundational idea brought about one of the greatest technological advancements of the modern era. Paul Nahin vividly recounts the heat equation’s tremendous influence on society, showing how French mathematical physicist Joseph Fourier discovered, derived, and solved the equation in the early nineteenth century. Nahin then follows Scottish physicist William Thomson, whose further analysis of Fourier’s explorations led to the pioneering trans-Atlantic telegraph cable. This feat of engineering reduced the time it took to send a message across the ocean from weeks to minutes. Readers also learn that Thomson used Fourier’s solutions to calculate the age of the earth, and, in a bit of colorful lore, that writer Charles Dickens relied on the trans-Atlantic cable to save himself from a career-damaging scandal. The book’s mathematical and scientific explorations can be easily understood by anyone with a basic knowledge of high school calculus and physics, and MATLAB code is included to aid readers who would like to solve the heat equation themselves. A testament to the intricate links between mathematics and physics, Hot Molecules, Cold Electrons offers a fascinating glimpse into the relationship between a formative equation and one of the most important developments in the history of human communication.

Signals and Systems using MATLAB

Author : Luis Chaparro
Publisher : Academic Press
Release Date : 2010-11-10
ISBN : 9780080879338
Pages : 768 pages
Rating : 4.3/5 (33 Download)

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Download Free Signals and Systems using MATLAB PDF by Luis Chaparro Full Book and published by Academic Press. This book was released on 2010-11-10 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new textbook in signals and systems provides a pedagogically rich approach to what can commonly be a mathematically dry subject. With features like historical notes, highlighted common mistakes, and applications in controls, communications, and signal processing, Chaparro helps students appreciate the usefulness of the techniques described in the book. Each chapter contains a section with MatLab applications. Pedagogically rich introduction to signals and systems using historical notes, pointing out "common mistakes", and relating concepts to realistic examples throughout to motivate learning the material Introduces both continuous and discrete systems early, then studies each (separately) in more depth later Extensive set of worked examples and homework assignments, with applications to controls, communications, and signal processing throughout Provides review of all the background math necessary to study the subject MatLab applications in every chapter

An Equation for Every Occasion

Author : John M. Henshaw
Publisher : JHU Press
Release Date : 2014-09-15
ISBN : 1421414929
Pages : 200 pages
Rating : 4.4/5 (414 Download)

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Download Free An Equation for Every Occasion PDF by John M. Henshaw Full Book and published by JHU Press. This book was released on 2014-09-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Smartly conceived and fast paced, his book offers something for anyone curious about math and its impacts.

Walter Gautschi, Volume 3

Author : Claude Brezinski
Publisher : Springer Science & Business Media
Release Date : 2013-10-24
ISBN : 146147132X
Pages : 767 pages
Rating : 4.4/5 (471 Download)

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Download Free Walter Gautschi, Volume 3 PDF by Claude Brezinski Full Book and published by Springer Science & Business Media. This book was released on 2013-10-24 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical Conditioning Special Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other Quadratures Gauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and Biography Miscellanea Works of Werner Gautschi

The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg

Author : Robert P. Crease
Publisher : W. W. Norton & Company
Release Date : 2010-01-18
ISBN : 0393345769
Pages : 320 pages
Rating : 4.3/5 (345 Download)

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Download Free The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg PDF by Robert P. Crease Full Book and published by W. W. Norton & Company. This book was released on 2010-01-18 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Any reader who aspires to be scientifically literate will find this a good starting place." —Publishers Weekly While we may be familiar with some of science’s greatest equations, we may not know that each and every equation emerged not in "Eureka!" moments but in years of cultural developments and scientific knowledge. With vignettes full of humor, drama, and eccentricity, philosopher and science historian Robert P. Crease shares the stories behind ten of history’s greatest equations, from the "first equation," 1 + 1 = 2, which promises a rational, well-ordered world, to Heisenberg’s uncertainty principle, which reveals the limitations of human knowledge. For every equation, Crease provides a brief account of who discovered it, what dissatisfactions lay behind its discovery, and what the equation says about the nature of our world.

Inside Interesting Integrals

Author : Paul J. Nahin
Publisher : Springer Nature
Release Date : 2020-06-27
ISBN : 3030437884
Pages : 503 pages
Rating : 4.4/5 (437 Download)

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Download Free Inside Interesting Integrals PDF by Paul J. Nahin Full Book and published by Springer Nature. This book was released on 2020-06-27 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

ICIAM 07

Author : Rolf Jeltsch
Publisher : European Mathematical Society
Release Date : 2009
ISBN : 9783037190562
Pages : 483 pages
Rating : 4.5/5 (566 Download)

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Download Free ICIAM 07 PDF by Rolf Jeltsch Full Book and published by European Mathematical Society. This book was released on 2009 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Council for Industrial and Applied Mathematics (ICIAM) is the worldwide organization of societies which are dedicated primarily or significantly to applied and/or industrial mathematics. The ICIAM Congresses, held every 4 years, are run under the auspices of the Council with the aim to advance the applications of mathematics in all parts of the world. The Sixth ICIAM Congress was held in Zurich, Switzerland, July 16-20, 2007, and was attended by more than 3000 scientists from 47 countries. This volume collects the invited lectures of this Congress, the appreciations of the ICIAM Prize winners' achievements, and the Euler Lecture celebrating the 300th anniversary of Euler. The authors of these papers are leading researchers in their fields, rigorously selected by a distinguished international program committee. The book presents an overview of contemporary applications of mathematics, new perspectives, and open problems. Topics embrace analysis of and numerical methods for: linear and nonlinear partial differential equations multiscale modeling nonlinear problems involving integral operators controllability and observability asymptotic solutions of Hamilton-Jacobi equations contact problems in solid mechanics topology optimization of structures dissipation inequalities in systems theory greedy algorithms sampling in function space order-value optimization parabolic partial differential equations and deterministic games Moreover, particular applications involve risk in financial markets, radar imaging, brain dynamics, and complex geometric optics applied to acoustics and electromagnetics.

Faith and Learning

Author : David S. Dockery
Publisher : B&H Publishing Group
Release Date : 2012-05-01
ISBN : 143367744X
Pages : 560 pages
Rating : 4.6/5 (677 Download)

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Download Free Faith and Learning PDF by David S. Dockery Full Book and published by B&H Publishing Group. This book was released on 2012-05-01 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Faith and learning, scholarship and piety, Christian tradition and intellectual inquiry, head and hearts: How do these things come together in an informative, enriching, and interdependent way? The calling of Christian higher education is to reflect the life of Christ and to shine the light of truth. That distinctive mission cannot be forced into an either/or framework but rather a both/and calling. It is a commitment to Jesus Christ himself, who is both fully God and fully human and who for Christian educators is both light and life. This multi-authored volume, with dynamic contributions from entry-level faculty members to seasoned scholars, explores the question of the Christian faith’s place on the university campus, whether in administrative matters, the broader academic world, or in student life. Philosophy, Sociology, Science, Arts, Business, Media; Faith and Learning explores how significant Christian thinkers have addressed such topics and their related issues throughout the history of the church. The historical, theological, and biblical framework will help students interact with and engage contemporary challenges to the Christian faith in the various fields of study and inquiry. Contributors include Harry L. Poe, Gene C. Fant, Jr., Ken Magnuson, Klaus Issler, Gregory A. Thornbury, Taylor Worley, John T. Netland, Scott Huelin, James A. Patterson, Hunter Baker, Roman R. Williams, Steve Halla, Christopher W. Mathews, Kevin Trowbridge, Mark Bolyard, Jeannette Russ, E. Blake Watkins, Mary Anne Poe, Emily Lean, Thomas Rosebrough, Ralph Leverett, Kimberly C. Thornbury, and C. Ben Mitchell.

Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics

Author : Ulianov Montano
Publisher : Springer Science & Business Media
Release Date : 2013-12-20
ISBN : 3319034529
Pages : 220 pages
Rating : 4.0/5 (34 Download)

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Download Free Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics PDF by Ulianov Montano Full Book and published by Springer Science & Business Media. This book was released on 2013-12-20 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics. The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory. The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities.

Nonlinear Dynamics in Complex Systems

Author : Armin Fuchs
Publisher : Springer Science & Business Media
Release Date : 2012-09-23
ISBN : 3642335519
Pages : 238 pages
Rating : 4.3/5 (335 Download)

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Download Free Nonlinear Dynamics in Complex Systems PDF by Armin Fuchs Full Book and published by Springer Science & Business Media. This book was released on 2012-09-23 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified. This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work. “This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.” “With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.” “What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically.” (J.A.Scott Kelso, excerpts from the foreword)