Discrete Mathematics

Author: Richard Johnsonbaugh
Publisher: Pearson Higher Ed
ISBN: 032183092X
Category: Mathematics
Page: 792
View: 7570

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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For a one- or two-term introductory course in discrete mathematics. Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh’s algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

Den Himmel gibt's echt

Die erstaunlichen Erlebnisse eines Jungen zwischen Leben und Tod
Author: Todd Burpo,Lynn Vincent
Publisher: N.A
ISBN: 9783775152785
Page: 160
View: 8030

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Unglaublich oder erstaunlich? Urteilen Sie selbst: Colton ist vier Jahre alt, als er lebensgefährlich erkrankt und operiert werden muss. Er überlebt um Haaresbreite. Später erzählt er seinen Eltern, dem Pastorenehepaars Todd und Sonja Burpo von erstaunlichen Dingen, die er während dieser Zeit zwischen Leben und Tod gesehen hat. Er berichtet von Tatsachen, die er gar nicht wissen konnte. Coltons Fazit: "Den Himmel gibt's echt!"

Loose Leaf Version for Discrete Mathematics and Its Application

Author: Kenneth Rosen
Publisher: McGraw-Hill Education
ISBN: 9780077431440
Category: Mathematics
Page: 903
View: 2563

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Discrete Mathematics and its Applications, Seventh Edition, is intended for one- or two-term introductory discrete mathematics courses taken by students from a wide variety of majors, including computer science, mathematics, and engineering. This renowned best-selling text, which has been used at over 500 institutions around the world, gives a focused introduction to the primary themes in a discrete mathematics course and demonstrates the relevance and practicality of discrete mathematics to a wide a wide variety of real-world applications...from computer science to data networking, to psychology, to chemistry, to engineering, to linguistics, to biology, to business, and to many other important fields.

Discrete Mathematics

Author: CTI Reviews
Publisher: Cram101 Textbook Reviews
ISBN: 1490251367
Category: Education
Page: 66
View: 8784

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Facts101 is your complete guide to Discrete Mathematics. In this book, you will learn topics such as Functions, Sequences, and Relations, Algorithms, Introduction to Number Theory, and Counting Methods and the Pigeonhole Principle plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Teaching and Learning Discrete Mathematics Worldwide: Curriculum and Research

Author: Eric W. Hart,James Sandefur
Publisher: Springer
ISBN: 3319703080
Category: Education
Page: 276
View: 2617

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This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.

Discrete Mathematics and Its Applications, 7thEd, Kenneth H. Rosen, 2012

Discrete Mathematics and Its Applications,
Author: The McGraw-Hill Companies, Inc
Publisher: Bukupedia
Category: Mathematics
Page: 1071
View: 4541

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[1] The satisfiability problem is addressed in greater depth, with Sudoku modeled in terms of satisfiability. [1] Hilbert’s Grand Hotel is used to help explain uncountability. [1] Proofs throughout the book have been made more accessible by adding steps and reasons behind these steps. [1] A template for proofs by mathematical induction has been added. [1] The step that applies the inductive hypothesis in mathematical induction proof is now explicitly noted. Algorithms [1] The pseudocode used in the book has been updated. [1] Explicit coverage of algorithmic paradigms, including brute force, greedy algorithms, and dynamic programing, is now provided. [1] Useful rules for big-O estimates of logarithms, powers, and exponential functions have been added. Number Theory and Cryptography [1] Expanded coverage allows instructors to include just a little or a lot of number theory in their courses. [1] The relationship between the mod function and congruences has been explained more fully. [1] The sieve of Eratosthenes is now introduced earlier in the book. [1] Linear congruences and modular inverses are now covered in more detail. [1] Applications of number theory, including check digits and hash functions, are covered in great depth. [1] A new section on cryptography integrates previous coverage, and the notion of a cryptosystem has been introduced. [1] Cryptographic protocols, including digital signatures and key sharing, are now covered. x Preface Graph Theory [1] A structured introduction to graph theory applications has been added. [1] More coverage has been devoted to the notion of social networks. [1] Applications to the biological sciences and motivating applications for graph isomorphism and planarity have been added. [1] Matchings in bipartite graphs are now covered, including Hall’s theorem and its proof. [1] Coverage of vertex connectivity, edge connectivity, and n-connectedness has been added, providing more insight into the connectedness of graphs. Enrichment Material [1] Many biographies have been expanded and updated, and new biographies of Bellman, Bézout Bienyamé, Cardano, Catalan, Cocks, Cook, Dirac, Hall, Hilbert, Ore, and Tao have been added. [1] Historical information has been added throughout the text. [1] Numerous updates for latest discoveries have been made. Expanded Media [1] Extensive effort has been devoted to producing valuable web resources for this book. [1] Extra examples in key parts of the text have been provided on companion website. [1] Interactive algorithms have been developed, with tools for using them to explore topics and for classroom use. [1] A new online ancillary, The Virtual Discrete Mathematics Tutor, available in fall 2012, will help students overcome problems learning discrete mathematics. [1] A new homework delivery system, available in fall 2012, will provide automated homework for both numerical and conceptual exercises. [1] Student assessment modules are available for key concepts. [1] Powerpoint transparencies for instructor use have been developed. [1] Asupplement Exploring Discrete Mathematics has been developed, providing extensive support for using MapleTM or MathematicaTM in conjunction with the book. [1] An extensive collection of external web links is provided. Features of the Book ACCESSIBILITY This text has proved to be easily read and understood by beginning students. There are no mathematical prerequisites beyond college algebra for almost all the content of the text. Students needing extra help will find tools on the companion website for bringing their mathematical maturity up to the level of the text. The few places in the book where calculus is referred to are explicitly noted. Most students should easily understand the pseudocode used in the text to express algorithms, regardless of whether they have formally studied programming languages. There is no formal computer science prerequisite. Each chapter begins at an easily understood and accessible level. Once basic mathematical concepts have been carefully developed, more difficult material and applications to other areas of study are presented. Preface xi FLEXIBILITY This text has been carefully designed for flexible use. The dependence of chapters on previous material has been minimized. Each chapter is divided into sections of approximately the same length, and each section is divided into subsections that form natural blocks of material for teaching. Instructors can easily pace their lectures using these blocks. WRITING STYLE The writing style in this book is direct and pragmatic. Precise mathematical language is used without excessive formalism and abstraction. Care has been taken to balance the mix of notation and words in mathematical statements. MATHEMATICAL RIGORAND PRECISION All definitions and theorems in this text are stated extremely carefully so that students will appreciate the precision of language and rigor needed in mathematics. Proofs are motivated and developed slowly; their steps are all carefully justified. The axioms used in proofs and the basic properties that follow from them are explicitly described in an appendix, giving students a clear idea of what they can assume in a proof. Recursive definitions are explained and used extensively. WORKEDEXAMPLES Over 800 examples are used to illustrate concepts, relate different topics, and introduce applications. In most examples, a question is first posed, then its solution is presented with the appropriate amount of detail. APPLICATIONS The applications included in this text demonstrate the utility of discrete mathematics in the solution of real-world problems. This text includes applications to a wide variety of areas, including computer science, data networking, psychology, chemistry, engineering, linguistics, biology, business, and the Internet. ALGORITHMS Results in discrete mathematics are often expressed in terms of algorithms; hence, key algorithms are introduced in each chapter of the book. These algorithms are expressed in words and in an easily understood form of structured pseudocode, which is described and specified in Appendix 3. The computational complexity of the algorithms in the text is also analyzed at an elementary level. HISTORICAL INFORMATION The background of many topics is succinctly described in the text. Brief biographies of 83 mathematicians and computer scientists are included as footnotes. These biographies include information about the lives, careers, and accomplishments of these important contributors to discrete mathematics and images, when available, are displayed. In addition, numerous historical footnotes are included that supplement the historical information in the main body of the text. Efforts have been made to keep the book up-to-date by reflecting the latest discoveries. KEY TERMS AND RESULTS A list of key terms and results follows each chapter. The key terms include only the most important that students should learn, and not every term defined in the chapter. EXERCISES There are over 4000 exercises in the text, with many different types of questions posed. There is an ample supply of straightforward exercises that develop basic skills, a large number of intermediate exercises, and many challenging exercises. Exercises are stated clearly and unambiguously, and all are carefully graded for level of difficulty. Exercise sets contain special discussions that develop new concepts not covered in the text, enabling students to discover new ideas through their own work. Exercises that are somewhat more difficult than average are marked with a single star ∗; those that are much more challenging are marked with two stars ∗∗. Exercises whose solutions require calculus are explicitly noted. Exercises that develop results used in the text are clearly identified with the right pointing hand symbol . Answers or outlined solutions to all oddxii Preface numbered exercises are provided at the back of the text. The solutions include proofs in which most of the steps are clearly spelled out. REVIEW QUESTIONS A set of review questions is provided at the end of each chapter. These questions are designed to help students focus their study on the most important concepts and techniques of that chapter. To answer these questions students need to write long answers, rather than just perform calculations or give short replies. SUPPLEMENTARY EXERCISE SETS Each chapter is followed by a rich and varied set of supplementary exercises. These exercises are generally more difficult than those in the exercise sets following the sections. The supplementary exercises reinforce the concepts of the chapter and integrate different topics more effectively. COMPUTER PROJECTS Each chapter is followed by a set of computer projects. The approximately 150 computer projects tie together what students may have learned in computing and in discrete mathematics. Computer projects that are more difficult than average, from both a mathematical and a programming point of view, are marked with a star, and those that are extremely challenging are marked with two stars. COMPUTATIONS AND EXPLORATIONS A set of computations and explorations is included at the conclusion of each chapter. These exercises (approximately 120 in total) are designed to be completed using existing software tools, such as programs that students or instructors have written or mathematical computation packages such as MapleTM or MathematicaTM. Many of these exercises give students the opportunity to uncover new facts and ideas through computation. (Some of these exercises are discussed in the Exploring Discrete Mathematics companion workbooks available online.) WRITING PROJECTS Each chapter is followed by a set of writing projects. To do these projects students need to consult the mathematical literature. Some of these projects are historical in nature and may involve looking up original sources. Others are designed to serve as gateways to new topics and ideas. All are designed to expose students to ideas not covered in depth in the text. These projects tie mathematical concepts together with the writing process and help expose students to possible areas for future study. (Suggested references for these projects can be found online or in the printed Student’s Solutions Guide.) APPENDIXES There are three appendixes to the text. The first introduces axioms for real numbers and the positive integers, and illustrates howfacts are proved directly from these axioms. The second covers exponential and logarithmic functions, reviewing some basic material used heavily in the course. The third specifies the pseudocode used to describe algorithms in this text. SUGGESTED READINGS A list of suggested readings for the overall book and for each chapter is provided after the appendices. These suggested readings include books at or below the level of this text, more difficult books, expository articles, and articles in which discoveries in discrete mathematics were originally published. Some of these publications are classics, published many years ago, while others have been published in the last few years. How to Use This Book This text has been carefully written and constructed to support discrete mathematics courses at several levels and with differing foci. The following table identifies the core and optional sections. An introductory one-term course in discrete mathematics at the sophomore level can be based on the core sections of the text, with other sections covered at the discretion of the Preface xiii instructor. A two-term introductory course can include all the optional mathematics sections in addition to the core sections. A course with a strong computer science emphasis can be taught by covering some or all of the optional computer science sections. Instructors can find sample syllabi for a wide range of discrete mathematics courses and teaching suggestions for using each section of the text can be found in the Instructor’s Resource Guide available on the website for this book. Chapter Core Optional CS Optional Math 1 1.1–1.8 (as needed) 2 2.1–2.4, 2.6 (as needed) 2.5 3 3.1–3.3 (as needed) 4 4.1–4.4 (as needed) 4.5, 4.6 5 5.1–5.3 5.4, 5.5 6 6.1–6.3 6.6 6.4, 6.5 7 7.1 7.4 7.2, 7.3 8 8.1, 8.5 8.3 8.2, 8.4, 8.6 9 9.1, 9.3, 9.5 9.2 9.4, 9.6 10 10.1–10.5 10.6–10.8 11 11.1 11.2, 11.3 11.4, 11.5 12 12.1–12.4 13 13.1–13.5 Instructors using this book can adjust the level of difficulty of their course by choosing either to cover or to omit the more challenging examples at the end of sections, as well as the more challenging exercises. The chapter dependency chart shown here displays the strong dependencies.A star indicates that only relevant sections of the chapter are needed for study of a later chapter.Weak dependencies have been ignored. More details can be found in the Instructor Resource Guide. Chapter 9* Chapter 10* Chapter 11 Chapter 13 Chapter 12 Chapter 2* Chapter 7 Chapter 8 Chapter 6* Chapter 3* Chapter 1 Chapter 4* Chapter 5* Ancillaries STUDENT’S SOLUTIONS GUIDE This student manual, available separately, contains full solutions to all odd-numbered problems in the exercise sets. These solutions explain why a particular method is used and why it works. For some exercises, one or two other possible approaches are described to show that a problem can be solved in several different ways. Suggested references for the writing projects found at the end of each chapter are also included in this volume. Also included are a guide to writing proofs and an extensive description of common xiv Preface mistakes students make in discrete mathematics, plus sample tests and a sample crib sheet for each chapter designed to help students prepare for exams. (ISBN-10: 0-07-735350-1) (ISBN-13: 978-0-07-735350-6) INSTRUCTOR’S RESOURCE GUIDE This manual, available on the website and in printed form by request for instructors, contains full solutions to even-numbered exercises in the text. Suggestions on how to teach the material in each chapter of the book are provided, including the points to stress in each section and how to put the material into perspective. It also offers sample tests for each chapter and a test bank containing over 1500 exam questions to choose from. Answers to all sample tests and test bank questions are included. Finally, several sample syllabi are presented for courses with differing emphases and student ability levels. (ISBN-10: 0-07-735349-8) (ISBN-13: 978-0-07-735349-0) Acknowledgments I would like to thank the many instructors and students at a variety of schools who have used this book and provided me with their valuable feedback and helpful suggestions. Their input has made this a much better book than it would have been otherwise. I especially want to thank Jerrold Grossman, Jean-Claude Evard, and Georgia Mederer for their technical reviews of the seventh edition and their “eagle eyes,” which have helped ensure the accuracy of this book. I also appreciate the help provided by all those who have submitted comments via the website. I thank the reviewers of this seventh and the six previous editions. These reviewers have provided much helpful criticism and encouragement to me. I hope this edition lives up to their high expectations. Reviewers for the Seventh Edition Philip Barry University of Minnesota, Minneapolis Miklos Bona University of Florida Kirby Brown Queens College John Carter University of Toronto Narendra Chaudhari Nanyang Technological University Allan Cochran University of Arkansas Daniel Cunningham Buffalo State College George Davis Georgia State University Andrzej Derdzinski The Ohio State University Ronald Dotzel University of Missouri-St. Louis T.J. Duda Columbus State Community College Bruce Elenbogen University of Michigan, Dearborn Norma Elias Purdue University, Calumet-Hammond Herbert Enderton University of California, Los Angeles Anthony Evans Wright State University Kim Factor Marquette University Margaret Fleck University of Illinois, Champaign Peter Gillespie Fayetteville State University Johannes Hattingh Georgia State University Ken Holladay University of New Orleans Jerry Ianni LaGuardia Community College Ravi Janardan University of Minnesota, Minneapolis Norliza Katuk University of Utara Malaysia William Klostermeyer University of North Florida Przemo Kranz University of Mississippi Jaromy Kuhl University of West Florida Loredana Lanzani University of Arkansas, Fayetteville Steven Leonhardi Winona State University Xu Liutong Beijing University of Posts and Telecommunications Vladimir Logvinenko De Anza Community College Preface xv Darrell Minor Columbus State Community College Keith Olson Utah Valley University Yongyuth Permpoontanalarp King Mongkut’s University of Technology, Thonburi Galin Piatniskaia University of Missouri, St. Louis Stefan Robila Montclair State University Chris Rodger Auburn University Sukhit Singh Texas State University, San Marcos David Snyder Texas State University, San Marcos Wasin So San Jose State University Bogdan Suceava California State University, Fullerton Christopher Swanson Ashland University Bon Sy Queens College MatthewWalsh Indiana-Purdue University, Fort Wayne GideonWeinstein Western Governors University DavidWilczynski University of Southern California I would like to thank Bill Stenquist, Executive Editor, for his advocacy, enthusiasm, and support. His assistance with this edition has been essential. I would also like to thank the original editor,WayneYuhasz, whose insights and skills helped ensure the book’s success, as well as all the many other previous editors of this book. I want to express my appreciation to the staff of RPK Editorial Services for their valuable work on this edition, including Rose Kernan, who served as both the developmental editor and the production editor, and the other members of the RPK team, Fred Dahl, Martha McMaster, ErinWagner, Harlan James, and Shelly Gerger-Knecthl. I thank Paul Mailhot of PreTeX, Inc., the compositor, for the tremendous amount to work he devoted to producing this edition, and for his intimate knowledge of LaTeX. Thanks also to Danny Meldung of Photo Affairs, Inc., who was resourceful obtaining images for the new biographical footnotes. The accuracy and quality of this new edition owe much to Jerry Grossman and Jean-Claude Evard, who checked the entire manuscript for technical accuracy and Georgia Mederer, who checked the accuracy of the answers at the end of the book and the solutions in the Student’s Solutions Guide and Instructor’s Resource Guide. As usual, I cannot thank Jerry Grossman enough for all his work authoring these two essential ancillaries. I would also express my appreciation the Science, Engineering, and Mathematics (SEM) Division of McGraw-Hill Higher Education for their valuable support for this new edition and the associated media content. In particular, thanks go to Kurt Strand: President, SEM, McGraw- Hill Higher Education, Marty Lange: Editor-in-Chief, SEM, Michael Lange: Editorial Director, Raghothaman Srinivasan: Global Publisher, Bill Stenquist: Executive Editor, Curt Reynolds: Executive Marketing Manager, Robin A. Reed: Project Manager, Sandy Ludovissey: Buyer, Lorraine Buczek: In-house Developmental Editor, Brenda Rowles: Design Coordinator, Carrie K. Burger: Lead Photo Research Coordinator, and Tammy Juran: Media Project Manager. Kenneth H. Rosen.

Guide to Discrete Mathematics

An Accessible Introduction to the History, Theory, Logic and Applications
Author: Gerard O'Regan
Publisher: Springer
ISBN: 3319445618
Category: Computers
Page: 368
View: 3485

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This stimulating textbook presents a broad and accessible guide to the fundamentals of discrete mathematics, highlighting how the techniques may be applied to various exciting areas in computing. The text is designed to motivate and inspire the reader, encouraging further study in this important skill. Features: provides an introduction to the building blocks of discrete mathematics, including sets, relations and functions; describes the basics of number theory, the techniques of induction and recursion, and the applications of mathematical sequences, series, permutations, and combinations; presents the essentials of algebra; explains the fundamentals of automata theory, matrices, graph theory, cryptography, coding theory, language theory, and the concepts of computability and decidability; reviews the history of logic, discussing propositional and predicate logic, as well as advanced topics; examines the field of software engineering, describing formal methods; investigates probability and statistics.

Discrete Mathematics: Pearson New International Edition

Author: Richard Johnsonbaugh
Publisher: Pearson Higher Ed
ISBN: 1292035811
Category: Mathematics
Page: 760
View: 4479

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For a one- or two-term introductory course in discrete mathematics. Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh’s algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

New Trends in Intelligent Software Methodologies, Tools and Techniques

Proceedings of the 16th International Conference SoMeT_17
Author: H. Fujita,A. Selamat,S. Omatu
Publisher: IOS Press
ISBN: 1614998000
Category: Computers
Page: 852
View: 2993

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Software is an essential enabler for science and the new economy. It creates new markets and directions for a more reliable, flexible and robust society and empowers the exploration of our world in ever more depth, but it often falls short of our expectations. Current software methodologies, tools, and techniques are still neither robust nor reliable enough for the constantly evolving market, and many promising approaches have so far failed to deliver the solutions required. This book presents the keynote ‘Engineering Cyber-Physical Systems’ and 64 peer-reviewed papers from the 16th International Conference on New Trends in Intelligent Software Methodology Tools, and Techniques, (SoMeT_17), held in Kitakyushu, Japan, in September 2017, which brought together researchers and practitioners to share original research results and practical development experience in software science and related new technologies. The aim of the SoMeT conferences is to capture the essence of the new state-of-the-art in software science and its supporting technology and to identify the challenges such technology will have to master. The book explores new trends and theories which illuminate the direction of developments in this field, and will be of interest to anyone whose work involves software science and its integration into tomorrow’s global information society.


Banken, Versicherungen und andere Finanzinstitutionen
Author: John Hull
Publisher: Pearson Deutschland GmbH
ISBN: 9783868940435
Category: Financial institutional
Page: 616
View: 5518

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Die Regeln des Lebens

Author: Richard Templar
Publisher: books4success
ISBN: 3941493302
Category: Self-Help
Page: 250
View: 2449

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Erfolgreiches Berufsleben, glückliche Beziehung und Zeit für Interessen und Freizeit. Was wissen die Menschen, die das vereinen? Die Antwort ist einfach: Sie kennen die Regeln. Die Regeln des Lebens. Der Bestseller aus der Feder von Richard Templar listet diese Regeln auf. Sie sind einfach, klar und logisch. Man kann sie im täglichen Leben problemlos umsetzen. Und sie machen einen Schritt für Schritt immer mehr zu dem Menschen, der man schon immer gerne sein wollte. Weltweit wurden von Templars "Rules"-Serie bereits mehr als 2.000.000 Exemplare verkauft. Jetzt erscheint nach "Die Regeln des Reichtums" auch der zweite Band endlich auch auf Deutsch! "Die Regeln des Lebens" entschärfen für Sie das Minenfeld aus Zeitnot, Überarbeitung und Beziehungsfrust. Wenn Sie diese Spielregeln beherrschen, können Sie Ihrem Alltag entspannt ins Auge blicken

Student Solutions Guide for Discrete Mathematics and Its Applications

Author: Kenneth H. Rosen
Publisher: McGraw-Hill Companies
ISBN: 9780070539662
Category: Computer science
Page: 372
View: 1595

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This text provides a balanced survey of major sub-fields within discrete mathematics. It demonstrates the utility of discrete mathematics in the solutions of real-world problems in diverse areas such as zoology, linguistics and business. Over 200 new problems have been added to this third edition.

Achtsame Kommunikation mit Kindern

Zwölf revolutionäre Strategien aus der Hirnforschung für die gesunde Entwicklung Ihres Kindes
Author: Daniel J. Siegel,Tina Payne Bryson
Publisher: N.A
ISBN: 9783867810821
Page: 256
View: 1816

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Das BUCH der Beweise

Author: Martin Aigner,Günter M. Ziegler
Publisher: Springer-Verlag
ISBN: 3662577674
Category: Mathematics
Page: 360
View: 1948

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Diese fünfte deutsche Auflage enthält ein ganz neues Kapitel über van der Waerdens Permanenten-Vermutung, sowie weitere neue, originelle und elegante Beweise in anderen Kapiteln. Aus den Rezensionen: “... es ist fast unmöglich, ein Mathematikbuch zu schreiben, das von jedermann gelesen und genossen werden kann, aber Aigner und Ziegler gelingt diese Meisterleistung in virtuosem Stil. [...] Dieses Buch erweist der Mathematik einen unschätzbaren Dienst, indem es Nicht-Mathematikern vorführt, was Mathematiker meinen, wenn sie über Schönheit sprechen.” Aus der Laudatio für den “Steele Prize for Mathematical Exposition” 2018 "Was hier vorliegt ist eine Sammlung von Beweisen, die in das von Paul Erdös immer wieder zitierte BUCH gehören, das vom lieben (?) Gott verwahrt wird und das die perfekten Beweise aller mathematischen Sätze enthält. Manchmal lässt der Herrgott auch einige von uns Sterblichen in das BUCH blicken, und die so resultierenden Geistesblitze erhellen den Mathematikeralltag mit eleganten Argumenten, überraschenden Zusammenhängen und unerwarteten Volten." www.mathematik.de, Mai 2002 "Eine einzigartige Sammlung eleganter mathematischer Beweise nach der Idee von Paul Erdös, verständlich geschrieben von exzellenten Mathematikern. Dieses Buch gibt anregende Lösungen mit Aha-Effekt, auch für Nicht-Mathematiker." www.vismath.de "Ein prächtiges, äußerst sorgfältig und liebevoll gestaltetes Buch! Erdös hatte die Idee DES BUCHES, in dem Gott die perfekten Beweise mathematischer Sätze eingeschrieben hat. Das hier gedruckte Buch will eine "very modest approximation" an dieses BUCH sein.... Das Buch von Aigner und Ziegler ist gelungen ..." Mathematische Semesterberichte, November 1999 "Wer (wie ich) bislang vergeblich versucht hat, einen Blick ins BUCH zu werfen, wird begierig in Aigners und Zieglers BUCH der Beweise schmökern." www.mathematik.de, Mai 2002

Grundzüge der theoretischen Logik

Author: David Hilbert,Wilhelm Ackermann
Publisher: Springer-Verlag
ISBN: 3662419289
Category: Mathematics
Page: 136
View: 6374

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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.