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Author : Daniel J. Velleman
Publisher : Cambridge University Press
Page : 401 pages
File Size : 44,7 Mb
Release : 2006-01-16
Category : Mathematics
ISBN : 9780521861243
This new edition of Daniel J. Velleman's successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.
Author : Stacey Barr
Publisher : John Wiley & Sons
Page : 216 pages
File Size : 53,6 Mb
Release : 2017-01-18
Category : Business & Economics
ISBN : 9780730336242
Inspire performance and prove your leadership impact Prove It! is the executive guide to improving organisational performance through the practice of evidence-based leadership. More than ever before, the world is demanding transparency and accountability from organisational leaders, and there is a growing push to hold leaders responsible for the performance of their organisation. Many executives panic at the thought of what transparency might reveal and how they might be held accountable, but others relish the opportunity to showcase their organisation's performance. The difference is in the leadership methodology. The best leaders already know how their organisation is performing, and that it has improved during their tenure – and they can prove it because they practise evidence-based leadership. This book offers a clear blueprint for building on your existing skills and performance management systems to build a truly high performance organisation. Just three personal leadership habits and three organisation-wide habits can transform your organisation into the powerhouse you know it can be. With a simple methodology and a focus on practical results, this book can help you: Set a strategic direction that really does inspire organisational excellence Gain a true picture of your organisation's performance Master the habits that help you lead a high-performance culture Improve your organisation objectively, measurably and quickly If an organisation can only be as good as its leadership, it's reasonable to place the burden of performance responsibility on those who make the decisions. A leader's job is to inspire, motivate and guide, and those who do it well are already raising the bar. Prove It! gives you a practical model for measurable, real-world results, starting today.
Author : Daniel J. Velleman
Publisher : Cambridge University Press
Page : 399 pages
File Size : 50,8 Mb
Release : 2006-01-16
Category : Mathematics
ISBN : 9781139450973
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Author : Miriam Coleman
Publisher : The Rosen Publishing Group, Inc
Page : 42 pages
File Size : 46,9 Mb
Release : 2012-08-15
Category : Juvenile Nonfiction
ISBN : 9781448876808
A variety of source materials exist and are available to students today. Libraries are filled with books on a multitude of topics, and the age of Google and other search engines means that more information than ever before is accessible. Readers will learn how to gather the data and then integrate information from different sources into a cohesive final product. Informative text and Quick Tip boxes will help readers learn how to manage each of the presented tasks.
Author : William C. Dear
Publisher : Skyhorse
Page : 592 pages
File Size : 50,8 Mb
Release : 2014-11-11
Category : True Crime
ISBN : 9781632200723
Nicole Brown Simpson and Ron Goldman were brutally murdered at her home on Bundy Drive in Brentwood, California, on the night of June 12, 1994. The days and weeks that followed were full of spectacle, including a much-watched car chase and the eventual arrest of O. J. Simpson for the murders. The televised trial that followed was unlike any that the nation had ever seen. Long since convinced of O. J.’s guilt, the world was shocked when the jury of the “trial of the century” read the verdict of not guilty. To this day, the LAPD, Los Angeles District Attorney’s office, mainstream media, and much of the world at large remain firmly convinced that O. J. Simpson got away with murder. According to private investigator William Dear, it is precisely this assuredness that has led both the police and public to overlook a far more likely suspect. Dear now compiles more than seventeen years of investigation by his team of forensic experts and presents evidence that O. J. was not the killer. In O. J. Is Innocent and I Can Prove It, Dear makes the controversial, but compelling, case that it may have been the “overlooked suspect,” O. J.’s eldest son, Jason, who committed the grisly murders. Sure to stir the pot and raise some eyebrows, this book is a must-read.
Author : Martin Aigner,Günter M. Ziegler
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 52,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662223437
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 54,8 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Author : Jenny Watson
Publisher : Sono NIS Press
Page : 157 pages
File Size : 42,5 Mb
Release : 2014-02
Category : Juvenile Fiction
ISBN : 1550392115
Grade level: 3, 4, 5, 6, p, e, i.
Author : Philip Ording
Publisher : Princeton University Press
Page : 272 pages
File Size : 41,9 Mb
Release : 2021-10-19
Category : Mathematics
ISBN : 9780691218977
An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.
Author : John W. Dawson, Jr.
Publisher : Birkhäuser
Page : 204 pages
File Size : 55,9 Mb
Release : 2015-07-15
Category : Mathematics
ISBN : 9783319173689
This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different. While a number of books have examined alternative proofs of individual theorems, this is the first that presents comparative case studies of other methods for a variety of different theorems. The author begins by laying out the criteria for distinguishing among proofs and enumerates reasons why new proofs have, for so long, played a prominent role in mathematical practice. He then outlines various purposes that alternative proofs may serve. Each chapter that follows provides a detailed case study of alternative proofs for particular theorems, including the Pythagorean Theorem, the Fundamental Theorem of Arithmetic, Desargues’ Theorem, the Prime Number Theorem, and the proof of the irreducibility of cyclotomic polynomials. Why Prove It Again? will appeal to a broad range of readers, including historians and philosophers of mathematics, students, and practicing mathematicians. Additionally, teachers will find it to be a useful source of alternative methods of presenting material to their students.
Author : S. James Gates,,Cathie Pelletier
Publisher : PublicAffairs
Page : 368 pages
File Size : 50,7 Mb
Release : 2019-09-24
Category : Science
ISBN : 9781541762237
A thrilling adventure story chronicling the perilous journey of the scientists who set out to prove the theory of relativity--the results of which catapulted Albert Einstein to fame and forever changed our understanding of the universe. In 1911, a relatively unknown physicist named Albert Einstein published his preliminary theory of gravity. But it hadn't been tested. To do that, he needed a photograph of starlight as it passed the sun during a total solar eclipse. So began a nearly decade-long quest by seven determined astronomers from observatories in four countries, who traveled the world during five eclipses to capture the elusive sight. Over the years, they faced thunderstorms, the ravages of a world war, lost equipment, and local superstitions. Finally, in May of 1919, British expeditions to northern Brazil and the island of Príncipe managed to photograph the stars, confirming Einstein's theory. At its heart, this is a story of frustration, faith, and ultimate victory--and of the scientists whose efforts helped build the framework for the big bang theory, catapulted Einstein to international fame, and shook the foundation of physics.
Author : Lynda Brennan
Publisher : Createspace Independent Publishing Platform
Page : 38 pages
File Size : 40,8 Mb
Release : 2017-09-07
Category : Electronic
ISBN : 1974434435
This book contains "Retell, Recreate and Talk Math with Friends" Activity outline. Miss Penny Says Prove It! is one volume in a series of instructional math stories designed to help parents, teachers and students Calm, Command and Conquer the Curriculum(R). By integrating a simple story with a detailed learning strategy, the Math MileMarkers(R) books help build strong foundational skills and a deeper understanding of the math concepts that are embedded within. We want children to explore mathematical concepts using interesting characters, great visual models and hands-on activities to guide their discovery. Miss Penny's lively class seeks to find out how many marbles Bobby could possibly have packed into his back pocket. In their quest for an answer, the class encounters important topics such as quantitative understanding of numbers, estimation, counting strategies, and much more. This Math MileMarkers original story uncovers the mathematical journey that young children travel as they work to develop a true understanding of the value of numbers and various ways to count them. Common Core and State Learning Standards clearly outline what children should know and be able to do at each grade. Companion activities including MileMarkers "Math Talk"; which outlines the big ideas presented in each story, and Storyboard Templates; which provide a framework for children to "Retell or Recreate" one of our stories using their own selection of numbers or key ideas, are available at www.mathmilemarkers.com. These story-based projects and conversation prompts, help children interact with the content and vocabulary, and bring the math standards to life in a meaningful way. Math MileMarkers(R) stories and games are the perfect way to help young children build confidence and connect ideas. Please allow us to join you on your mathematical journey. Together we can make learning math fun! This book contains "Retell, Recreate and Talk Math with Friends" Activity outline. Free Downloads are available on our website www.math4minors.com Math4Minors.com: Learning to Love Math! Grades K-2
Author : Rowan Garnier,John Taylor
Publisher : Unknown
Page : 332 pages
File Size : 52,9 Mb
Release : 1996-08
Category : Mathematics
ISBN : UOM:39076001859920
"Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof."
Author : Richard H. Hammack
Publisher : Unknown
Page : 314 pages
File Size : 42,8 Mb
Release : 2016-01-01
Category : Mathematics
ISBN : 0989472116
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Author : Tom Roston
Publisher : Abrams
Page : 182 pages
File Size : 48,5 Mb
Release : 2021-11-09
Category : Biography & Autobiography
ISBN : 9781683359241
The story of Kurt Vonnegut and Slaughterhouse-Five, an enduring masterpiece on trauma and memory Kurt Vonnegut was twenty years old when he enlisted in the United States Army. Less than two years later, he was captured by the Germans in the single deadliest US engagement of the war, the Battle of the Bulge. He was taken to a POW camp, then transferred to a work camp near Dresden, and held in a slaughterhouse called Schlachthof Fünf where he survived the horrific firebombing that killed thousands and destroyed the city. To the millions of fans of Vonnegut’s great novel Slaughterhouse-Five, these details are familiar. They’re told by the book’s author/narrator, and experienced by his enduring character Billy Pilgrim, a war veteran who “has come unstuck in time.” Writing during the tumultuous days of the Vietnam conflict, with the novel, Vonnegut had, after more than two decades of struggle, taken trauma and created a work of art, one that still resonates today. In The Writer’s Crusade, author Tom Roston examines the connection between Vonnegut’s life and Slaughterhouse-Five. Did Vonnegut suffer from Post-Traumatic Stress Disorder? Did Billy Pilgrim? Roston probes Vonnegut’s work, his personal history, and discarded drafts of the novel, as well as original interviews with the writer’s family, friends, scholars, psychologists, and other novelists including Karl Marlantes, Kevin Powers, and Tim O’Brien. The Writer’s Crusade is a literary and biographical journey that asks fundamental questions about trauma, creativity, and the power of storytelling.