Number Theory Revealed: A Masterclass

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Publisher : American Mathematical Society
ISBN 13 : 1470463709
Total Pages : 587 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Number Theory Revealed: A Masterclass by : Andrew Granville

Download or read book Number Theory Revealed: A Masterclass written by Andrew Granville and published by American Mathematical Society. This book was released on 2020-09-23 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory Revealed: A Masterclass acquaints enthusiastic students with the “Queen of Mathematics”. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod $p$ and modern twists on traditional questions like the values represented by binary quadratic forms, the anatomy of integers, and elliptic curves. This Masterclass edition contains many additional chapters and appendices not found in Number Theory Revealed: An Introduction, highlighting beautiful developments and inspiring other subjects in mathematics (like algebra). This allows instructors to tailor a course suited to their own (and their students') interests. There are new yet accessible topics like the curvature of circles in a tiling of a circle by circles, the latest discoveries on gaps between primes, a new proof of Mordell's Theorem for congruent elliptic curves, and a discussion of the $abc$-conjecture including its proof for polynomials. About the Author: Andrew Granville is the Canada Research Chair in Number Theory at the University of Montreal and professor of mathematics at University College London. He has won several international writing prizes for exposition in mathematics, including the 2008 Chauvenet Prize and the 2019 Halmos-Ford Prize, and is the author of Prime Suspects (Princeton University Press, 2019), a beautifully illustrated graphic novel murder mystery that explores surprising connections between the anatomies of integers and of permutations.

Number Theory Revealed: An Introduction

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470441578
Total Pages : 264 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Number Theory Revealed: An Introduction by : Andrew Granville

Download or read book Number Theory Revealed: An Introduction written by Andrew Granville and published by American Mathematical Soc.. This book was released on 2019-11-12 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory Revealed: An Introduction acquaints undergraduates with the “Queen of Mathematics”. The text offers a fresh take on congruences, power residues, quadratic residues, primes, and Diophantine equations and presents hot topics like cryptography, factoring, and primality testing. Students are also introduced to beautiful enlightening questions like the structure of Pascal's triangle mod p p and modern twists on traditional questions like the values represented by binary quadratic forms and large solutions of equations. Each chapter includes an “elective appendix” with additional reading, projects, and references. An expanded edition, Number Theory Revealed: A Masterclass, offers a more comprehensive approach to these core topics and adds additional material in further chapters and appendices, allowing instructors to create an individualized course tailored to their own (and their students') interests.

An Illustrated Theory of Numbers

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470463717
Total Pages : 341 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis An Illustrated Theory of Numbers by : Martin H. Weissman

Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.

The Life of Primes in 37 Episodes

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Publisher : American Mathematical Soc.
ISBN 13 : 1470464896
Total Pages : 329 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Life of Primes in 37 Episodes by : Jean-Marie De Koninck

Download or read book The Life of Primes in 37 Episodes written by Jean-Marie De Koninck and published by American Mathematical Soc.. This book was released on 2021-05-19 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the life of primes. Indeed, once they are defined, primes take on a life of their own and the mysteries surrounding them begin multiplying, just like living cells reproduce themselves, and there seems to be no end to it. This monograph takes the reader on a journey through time, providing an accessible overview of the numerous prime number theory problems that mathematicians have been working on since Euclid. Topics are presented in chronological order as episodes. These include results on the distribution of primes, from the most elementary to the proof of the famous prime number theorem. The book also covers various primality tests and factorisation algorithms. It is then shown how our inability to factor large integers has allowed mathematicians to create today's most secure encryption method. Computer science buffs may be tempted to tackle some of the many open problems appearing in the episodes. Throughout the presentation, the human side of mathematics is displayed through short biographies that give a glimpse of the lives of the people who contributed to the life of primes. Each of the 37 episodes concludes with a series of problems (many with solutions) that will assist the reader in gaining a better understanding of the theory.

Chemistry (Student)

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Publisher : New Leaf Publishing Group
ISBN 13 : 1683440730
Total Pages : 35 pages
Book Rating : 4.6/5 (834 download)

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Book Synopsis Chemistry (Student) by : Dennis Englin

Download or read book Chemistry (Student) written by Dennis Englin and published by New Leaf Publishing Group. This book was released on 2018-02-08 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is chemistry? It is the study of the composition, structure, and properties of matter. It is through an understanding of chemistry that the products that have benefited society were discovered and technologies to sustain the environment were put in place. Knowledge taught in this course of how matter changes will give us an insight into the origin of life, so we can realize that life could only have been formed by a supernatural act of creation, not by a process of change over time. High school science course with lab curriculumLab experiments are included with step-by-step images for guidanceBased on the principle that those who can understand and apply information do much better than those who simply memorize material This course has been taught by Dr. Englin for many years, with students going on to medical and graduate school. He wanted to develop a series of courses that would give students the tools to help them succeed in higher education. The comprehensive material has God the Creator as its foundation. A teacher guide is available for Chemistry, providing this full-year science course with a detailed schedule, worksheets, and tests.

Mathematics for Computer Science

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Publisher :
ISBN 13 : 9789888407064
Total Pages : 988 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Mathematics for Computer Science by : Eric Lehman

Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

The Complete Book of Numerology

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Author :
Publisher : Hay House, Inc
ISBN 13 : 1401930255
Total Pages : 285 pages
Book Rating : 4.4/5 (19 download)

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Book Synopsis The Complete Book of Numerology by : David A. Phillips, Ph.D.

Download or read book The Complete Book of Numerology written by David A. Phillips, Ph.D. and published by Hay House, Inc. This book was released on 2005-11-01 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the science of self-discovery To the conventional scientist, numbers are merely symbols of comparative quantities, but in the broader, metaphysical sense, they assume a deeper, more profound significance. The Complete Book of Numerology reveals the underlying meaning behind the numbers in your life and enables you to understand the connection between your numerological patterns and your degree of abundance, health, and general well-being. Overall, delving into the world of numbers will provide you with a simple and accurate way to decipher your experiences in the same manner that a road map helps you navigate a route that you haven’t previously traveled.

Number Theory

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Publisher : Courier Corporation
ISBN 13 : 0486135101
Total Pages : 292 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Number Theory by : George E. Andrews

Download or read book Number Theory written by George E. Andrews and published by Courier Corporation. This book was released on 2012-04-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.

The Complete Trading Course

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Publisher : John Wiley & Sons
ISBN 13 : 0470594594
Total Pages : 324 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis The Complete Trading Course by : Corey Rosenbloom

Download or read book The Complete Trading Course written by Corey Rosenbloom and published by John Wiley & Sons. This book was released on 2011-01-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical guide covering everything the serious trader needs to know While a variety of approaches can be used to analyze financial market behavior and identify potential trading/investing opportunities, no approach is completely accurate. The challenge for traders is to find a method that they feel comfortable with and are able to implement consistently, through the normal ups and downs of trading. The Trading Course provides you with a detailed description of the methods used to analyze markets, spot profitable trading opportunities, and properly execute trades. Page by page, this book references different trading methodologies, but focuses specifically on applying them when attempting to identify good trades. Discusses the principles of price behavior, trends, trade set ups, trade execution, and intermarket relationships Details different trading tools and techniques, including Japanese Candlesticks, Elliott Wave, Dow Theory, momentum indicators, and much more If you want to become a successful trader, you have to be prepared. This book will show you what it takes to make it in this field and how you can excel without getting overwhelmed.

Proficiency Masterclass: Student's Book

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Publisher : OUP Oxford
ISBN 13 : 9780194329125
Total Pages : 183 pages
Book Rating : 4.3/5 (291 download)

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Book Synopsis Proficiency Masterclass: Student's Book by : Kathy Gude

Download or read book Proficiency Masterclass: Student's Book written by Kathy Gude and published by OUP Oxford. This book was released on 2002-04-25 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: New - over 50% new material and artwork. Exam practice - realistic exam-style tasks are featured throughout. Exam training - regular tips and hints. Balance - equal prominence is given to Papers 1-5. A new speaking section provides structured preparation for Paper 5. Authentic - texts are based on authentic sources. Language development - detailed grammar and vocabulary input and practice appropriate to this level. Structured revision - regular Overview sections, Vocabulary and Progress Tests, and an Exam Practice Workbook. Michigan ECPE Workbook - supplementary material for students preparing for the University of Michigan ECPE examination.

The Distribution of Prime Numbers

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470462850
Total Pages : 356 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Distribution of Prime Numbers by : Dimitris Koukoulopoulos

Download or read book The Distribution of Prime Numbers written by Dimitris Koukoulopoulos and published by American Mathematical Soc.. This book was released on 2020-07-28 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic notions of asymptotic estimates and arriving at the forefront of mathematical research. Detailed proofs of the recent spectacular advances on small and large gaps between primes are made accessible for the first time in textbook form. Some other highlights include an introduction to probabilistic methods, a detailed study of sieves, and elements of the theory of pretentious multiplicative functions leading to a proof of Linnik's theorem. Throughout, the emphasis has been placed on explaining the main ideas rather than the most general results available. As a result, several methods are presented in terms of concrete examples that simplify technical details, and theorems are stated in a form that facilitates the understanding of their proof at the cost of sacrificing some generality. Each chapter concludes with numerous exercises of various levels of difficulty aimed to exemplify the material, as well as to expose the readers to more advanced topics and point them to further reading sources.

The Vision Revolution

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Publisher : BenBella Books, Inc.
ISBN 13 : 193525121X
Total Pages : 240 pages
Book Rating : 4.9/5 (352 download)

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Book Synopsis The Vision Revolution by : Mark Changizi

Download or read book The Vision Revolution written by Mark Changizi and published by BenBella Books, Inc.. This book was released on 2010-06-08 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In The Vision Revolution: How the Latest Research Overturns Everything We Thought We Knew About Human Vision, Mark Changizi, prominent neuroscientist and vision expert, addresses four areas of human vision and provides explanations for why we have those particular abilities, complete with a number of full-color illustrations to demonstrate his conclusions and to engage the reader. Written for both the casual reader and the science buff hungry for new information, The Vision Revolution is a resource that dispels commonly believed perceptions about sight and offers answers drawn from the field's most recent research. Changizi focuses on four “why" questions: 1. Why do we see in color? 2. Why do our eyes face forward? 3. Why do we see illusions? 4. Why does reading come so naturally to us? Why Do We See in Color? It was commonly believed that color vision evolved to help our primitive ancestors identify ripe fruit. Changizi says we should look closer to home: ourselves. Human color vision evolved to give us greater insights into the mental states and health of other people. People who can see color changes in skin have an advantage over their color-blind counterparts; they can see when people are blushing with embarrassment, purple-faced with exertion or the reddening of rashes. Changizi's research reveals that the cones in our eyes that allow us to see color are exquisitely designed exactly for seeing color changes in the skin. And it's no coincidence that the primates with color vision are the ones with bare spots on their faces and other body parts; Changizi shows that the development of color vision in higher primates closely parallels the loss of facial hair, culminating in the near hairlessness and highly developed color vision of humans. Why Do Our Eyes Face Forward? Forward-facing eyes set us apart from most mammals, and there is much dispute as to why we have them. While some speculate that we evolved this feature to give us depth perception available through stereo vision, this type of vision only allows us to see short distances, and we already have other mechanisms that help us to estimate distance. Changizi's research shows that with two forward-facing eyes, primates and humans have an x-ray ability. Specifically, we're able to see through the cluttered leaves of the forest environment in which we evolved. This feature helps primates see their targets in a crowded, encroached environment. To see how this works, hold a finger in front of your eyes. You'll find that you're able to look “through" it, at what is beyond your finger. One of the most amazing feats of two forward-facing eyes? Our views aren't blocked by our noses, beaks, etc. Why Do We See Illusions? We evolved to see moving objects, not where they are, but where they are going to be. Without this ability, we couldn't catch a ball because the brain's ability to process visual information isn't fast enough to allow us to put our hands in the right place to intersect for a rapidly approaching baseball. “If our brains simply created a perception of the way the world was at the time light hit the eye, then by the time that perception was elicited—which takes about a tenth of a second for the brain to do—time would have marched on, and the perception would be of the recent past," Changizi explains. Simply put, illusions occur when our brain is tricked into thinking that a stationary two-dimensional picture has an element that is moving. Our brains project the “moving" element into the future and, as a result, we don't see what's on the page, but what our brain thinks will be the case a fraction of a second into the future. Why Does Reading Come So Naturally to Us? We can read faster than we can hear, which is odd, considering that reading is relatively recent,

Before We Begin

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Publisher :
ISBN 13 : 9781954243002
Total Pages : pages
Book Rating : 4.2/5 (43 download)

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Book Synopsis Before We Begin by : Asi Wind

Download or read book Before We Begin written by Asi Wind and published by . This book was released on 2021-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Asi Wind observes the important things we must do before the show.

The Restoration of Engravings, Drawings, Books, and Other Works on Paper

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Publisher : Getty Publications
ISBN 13 : 9780892368358
Total Pages : 320 pages
Book Rating : 4.3/5 (683 download)

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Book Synopsis The Restoration of Engravings, Drawings, Books, and Other Works on Paper by : Max Schweidler

Download or read book The Restoration of Engravings, Drawings, Books, and Other Works on Paper written by Max Schweidler and published by Getty Publications. This book was released on 2006 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since its original publication in Germany in 1938, Max Schweidler's Die Instandetzung von Kupferstichen, Zeichnungen, Buchern usw has been recognized as a seminal modern text on the conservation and restoration of works on paper. To address what he saw as a woeful dearth of relevant literature and in order to assist those who have 'set themselves the goal of preserving cultural treasures, ' the noted German restorer composed a thorough technical manual covering a wide range of specific techniques, including detailed instructions on how to execute structural repairs and alterations that, if skilfully done, can be virtually undetectable. By the mid-twentieth century, curators and conservators of graphic arts, discovering a nearly invisible repair in an old master print or drawing, might comment that the object had been 'Schweidlerized.' This volume, based on the authoritative revised German edition of 1949, makes Schweidler's work available in English for the first time, in a meticulously edited and annotated critical edition. The editor's introduction places the work in its historical context and probes the philosophical issues the book raises, while some two hundred annotati

Prime Suspects

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Publisher : Princeton University Press
ISBN 13 : 0691188734
Total Pages : 233 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Prime Suspects by : Andrew Granville

Download or read book Prime Suspects written by Andrew Granville and published by Princeton University Press. This book was released on 2019-08-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: An outrageous graphic novel that investigates key concepts in mathematics Integers and permutations—two of the most basic mathematical objects—are born of different fields and analyzed with separate techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body. Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics. Travel with Detective von Neumann as he leaves no clue unturned, from shepherds’ huts in the Pyrenees to secret societies in the cafés of Paris, from the hidden codes in the music of the stones to the grisly discoveries in Finite Fields. Tremble at the ferocity of the believers in deep and rigid abstraction. Feel the frustration—and the excitement—of our young heroine, Emmy Germain, as she blazes a trail for women in mathematical research and learns from Professor Gauss, the greatest forensic detective of them all. Beautifully drawn and exquisitely detailed, Prime Suspects is unique, astonishing, and witty—a once-in-a-lifetime opportunity to experience mathematics like never before.

Master of the Senate

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Publisher : Knopf
ISBN 13 : 0394528360
Total Pages : 1234 pages
Book Rating : 4.3/5 (945 download)

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Book Synopsis Master of the Senate by : Robert A. Caro

Download or read book Master of the Senate written by Robert A. Caro and published by Knopf. This book was released on 2002-04-23 with total page 1234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master of the Senate, Book Three of The Years of Lyndon Johnson, carries Johnson’s story through one of its most remarkable periods: his twelve years, from 1949 to 1960, in the United States Senate. At the heart of the book is its unprecedented revelation of how legislative power works in America, how the Senate works, and how Johnson, in his ascent to the presidency, mastered the Senate as no political leader before him had ever done. It was during these years that all Johnson’s experience—from his Texas Hill Country boyhood to his passionate representation in Congress of his hardscrabble constituents to his tireless construction of a political machine—came to fruition. Caro introduces the story with a dramatic account of the Senate itself: how Daniel Webster, Henry Clay, and John C. Calhoun had made it the center of governmental energy, the forum in which the great issues of the country were thrashed out. And how, by the time Johnson arrived, it had dwindled into a body that merely responded to executive initiatives, all but impervious to the forces of change. Caro anatomizes the genius for political strategy and tactics by which, in an institution that had made the seniority system all-powerful for a century and more, Johnson became Majority Leader after only a single term-the youngest and greatest Senate Leader in our history; how he manipulated the Senate’s hallowed rules and customs and the weaknesses and strengths of his colleagues to change the “unchangeable” Senate from a loose confederation of sovereign senators to a whirring legislative machine under his own iron-fisted control. Caro demonstrates how Johnson’s political genius enabled him to reconcile the unreconcilable: to retain the support of the southerners who controlled the Senate while earning the trust—or at least the cooperation—of the liberals, led by Paul Douglas and Hubert Humphrey, without whom he could not achieve his goal of winning the presidency. He shows the dark side of Johnson’s ambition: how he proved his loyalty to the great oil barons who had financed his rise to power by ruthlessly destroying the career of the New Dealer who was in charge of regulating them, Federal Power Commission Chairman Leland Olds. And we watch him achieve the impossible: convincing southerners that although he was firmly in their camp as the anointed successor to their leader, Richard Russell, it was essential that they allow him to make some progress toward civil rights. In a breathtaking tour de force, Caro details Johnson’s amazing triumph in maneuvering to passage the first civil rights legislation since 1875. Master of the Senate, told with an abundance of rich detail that could only have come from Caro’s peerless research, is both a galvanizing portrait of the man himself—the titan of Capital Hill, volcanic, mesmerizing—and a definitive and revelatory study of the workings and personal and legislative power.

Confessions of the Pricing Man

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Author :
Publisher : Springer
ISBN 13 : 3319204009
Total Pages : 221 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Confessions of the Pricing Man by : Hermann Simon

Download or read book Confessions of the Pricing Man written by Hermann Simon and published by Springer. This book was released on 2015-10-20 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world’s foremost expert on pricing strategy shows how this mysterious process works and how to maximize value through pricing to company and customer. In all walks of life, we constantly make decisions about whether something is worth our money or our time, or try to convince others to part with their money or their time. Price is the place where value and money meet. From the global release of the latest electronic gadget to the bewildering gyrations of oil futures to markdowns at the bargain store, price is the most powerful and pervasive economic force in our day-to-day lives and one of the least understood. The recipe for successful pricing often sounds like an exotic cocktail, with equal parts psychology, economics, strategy, tools and incentives stirred up together, usually with just enough math to sour the taste. That leads managers to water down the drink with hunches and rules of thumb, or leave out the parts with which they don’t feel comfortable. While this makes for a sweeter drink, it often lacks the punch to have an impact on the customer or on the business. It doesn’t have to be that way, though, as Hermann Simon illustrates through dozens of stories collected over four decades in the trenches and behind the scenes. A world-renowned speaker on pricing and a trusted advisor to Fortune 500 executives, Simon’s lifelong journey has taken him from rural farmers’ markets, to a distinguished academic career, to a long second career as an entrepreneur and management consultant to companies large and small throughout the world. Along the way, he has learned from Nobel Prize winners and leading management gurus, and helped countless managers and executives use pricing as a way to create new markets, grow their businesses and gain a sustained competitive advantage. He also learned some tough personal lessons about value, how people perceive it, and how people profit from it. In this engaging and practical narrative, Simon leaves nothing out of the pricing cocktail, but still makes it go down smoothly and leaves you wanting to learn more and do more—as a consumer or as a business person. You will never look at pricing the same way again.