Mathematics & Mathematics Education: Searching for Common Ground:Auflage 2014
Mathematics & Mathematics Education: Searching for Common Ground:Advances in Mathematics Education. Softcover reprint of the original 1st ed. 2014
Mathematics & Mathematics Education: Searching for Common Ground:
In 1859, German mathematician Bernhard Riemann presented a paper to the Berlin Academy that would forever change mathematics. The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved--one that baffles mathematicians to this day. Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.
How Hansel and Gretel, Sherlock Holmes, the movie Groundhog Day, Harry Potter, and other familiar stories illustrate the concepts of computing. Picture a computer scientist, staring at a screen and clicking away frantically on a keyboard, hacking into a system, or perhaps developing an app. Now delete that picture. In Once Upon an Algorithm, Martin Erwig explains computation as something that takes place beyond electronic computers, and computer science as the study of systematic problem solving. Erwig points out that many daily activities involve problem solving. Getting up in the morning, for example: You get up, take a shower, get dressed, eat breakfast. This simple daily routine solves a recurring problem through a series of well-defined steps. In computer science, such a routine is called an algorithm. Erwig illustrates a series of concepts in computing with examples from daily life and familiar stories. Hansel and Gretel, for example, execute an algorithm to get home from the forest. The movie Groundhog Day illustrates the problem of unsolvability; Sherlock Holmes manipulates data structures when solving a crime; the magic in Harry Potter´s world is understood through types and abstraction; and Indiana Jones demonstrates the complexity of searching. Along the way, Erwig also discusses representations and different ways to organize data; ´´intractable´´ problems; language, syntax, and ambiguity; control structures, loops, and the halting problem; different forms of recursion; and rules for finding errors in algorithms. This engaging book explains computation accessibly and shows its relevance to daily life. Something to think about next time we execute the algorithm of getting up in the morning. PLEASE NOTE: When you purchase this title, the accompanying reference material will be available in your Library section along with the audio. 1. Language: English. Narrator: Walter Dixon. Audio sample: http://samples.audible.de/bk/tant/011485/bk_tant_011485_sample.mp3. Digital audiobook in aax.
Forgiveness... Learn how to forgive and let go. Sometimes life doesn´t seem to make sense or ´´add up´´. We have life circumstances that make us question whether we can truly have a full life. Divorce. Death. Sickness. Financial losses. And life doesn´t seem fair. Whatever your circumstances, we believe every listener can benefit from what we share in these words, whether you´ve endured varying levels of pain or struggle in your own life or you know someone who has. It´s our prayer that God uses this audiobook as a tool to bring healing, hope, forgiveness, and a new-found freedom to people from all walks of life. Maybe you´ve been searching for that formula that will help you make sense of your life. Come join us as we explore the Mathematics of Jesus and His Forgiveness Formula. Find out how Jesus is and always will be the greatest mathematician, in that He knows what truly adds up to a full life. 1. Language: English. Narrator: Larry Wayne. Audio sample: http://samples.audible.de/bk/acx0/005928/bk_acx0_005928_sample.mp3. Digital audiobook in aax.
The Oxford Dictionary of Biochemistry and Molecular Biology provides a comprehensive survey of current biochemistry and molecular biology. Over the last few years, the language of Biochemistry and Molecular Biology has expanded enormously to the extent that few scientists can expect to be familiar with all aspects of it. This is partly due to the Genome projects and the successive -omics projects which have provided comprehensive information about genes, the functions of gene products, and cellular processes. At the same time, terms from other subject areas appear increasingly in the biochemical literature. The popular Dictionary has been comprehensively reviewed and updated to include many important new concepts and words. The entries are short but informative, providing up-to-date information on a broad range of topics, including definitions for selected terms from Bioinformatics, Biophysics, Cell Biology, Chemistry, Genetics, Immunology, Mathematics, Microbiology, Pharmacology, Systems Biology, and Toxicology. There are over 21,000 main entries, which give details of biochemical substances and the processes in which they are involved, define methods and concepts in molecular biology, and give definitions of biochemical symbols and abbreviations. It points out pitfalls where terms are often confused. It explains the precise syntax of biochemical terms, such as Greek letters and other formatting, which are lost when searching the Internet. In addition the dictionary is illustrated with over 900 chemical structures. The Oxford Dictionary of Biochemistry and Molecular Biology will serve as an invaluable reference for biochemists and molecular biologists seekinginformation outside their own fields, and for those wishing to revisit fundamental principles.
NEW YORK CITY, the near future: Mitchell Zukor, a gifted young mathematician, is hired by a mysterious new financial consulting firm, FutureWorld. The business operates out of a cavernous office in the Empire State Building; Mitchell is employee number two. He is asked to calculate worst-case scenarios in the most intricate detail, and his schemes are sold to corporations to indemnify them against any future disasters. This is the cutting edge of corporate irresponsibility, and business is booming. As Mitchell immerses himself in the mathematics of catastrophe-ecological collapse, global war, natural disasters-he becomes obsessed by a culture´s fears. Yet he also loses touch with his last connection to reality: Elsa Bruner, a friend with her own apocalyptic secret, who has started a commune in Maine. Then, just as Mitchell´s predictions reach a nightmarish crescendo, an actual worst-case scenario overtakes Manhattan. Mitchell realizes he is uniquely prepared to profit. But at what cost? At once an all-too-plausible literary thriller, an unexpected love story, and a philosophically searching inquiry into the nature of fear, Nathaniel Rich´s Odds Against Tomorrow poses the ultimate questions of imagination and civilization. The future is not quite what it used to be. An NPR Best Book of 2013
Essential Information that Every Serious Programming Student Needs to Know about Algorithms and Data Structures A Classic Reference The latest version of Sedgewick´s best-selling series, reflecting an indispensable body of knowledge developed over the past several decades. Broad Coverage Full treatment of data structures and algorithms for sorting, searching, graph processing, string processing, and geometric applications, including fifty algorithms every programmer should know. See www.cs.princeton.edu/algs4/top50 . Completely Revised Code New Java implementations written in an accessible, modular programming style, where all of the code is exposed to the reader and ready to use. New versions of quicksort, LZW compression, red-black tree search, RE pattern matching, and many other algorithms. Engages with Applications Algorithms are studied in the context of important scientific, engineering, and commercial applications. Clients and algorithms are expressed in real code, not the pseudo-code found in many other books. Intellectually Stimulating Engages reader interest with clear, concise text, detailed examples with visuals, carefully crafted code, historical and scientific context, and exercises at all levels. A Scientific Approach Develops precise statements about performance, supported by appropriate mathematical models and empirical studies validating those models. Integrated with the Web Visit www.cs.princeton.edu/algs4 for a freely accessible, comprehensive Web site, including text digests, program code, test data, programming projects, exercises, lecture slides, and other resources. Product Description This fourth edition of Robert Sedgewick and Kevin Wayne?s Algorithms is the leading textbook on algorithms today and is widely used in colleges and universities worldwide. This book surveys the most important computer algorithms currently in use and provides a full treatment of data structures and algorithms for sorting, searching, graph processing, and string processing -- including fifty algorithms every programmer should know. In this edition, new Java implementations are written in an accessible modular programming style, where all of the code is exposed to the reader and ready to use. The algorithms in this book represent a body of knowledge developed over the last 50 years that has become indispensable, not just for professional programmers and computer science students but for any student with interests in science, mathematics, and engineering, not to mention students who use computation in the liberal arts. The companion web site, algs4.cs.princeton.edu contains An online synopsis Full Java implementations Test data Exercises and answers Dynamic visualizations Lecture slides Programming assignments with checklists Links to related material The MOOC related to this book is accessible via the ´´Online Course´´ link at algs4.cs.princeton.edu . The course offers more than 100 video lecture segments that are integrated with the text, extensive online assessments, and the large-scale discussion forums that have proven so valuable. Offered each fall and spring, this course regularly attracts tens of thousands of registrants. Robert Sedgewick and Kevin Wayne are developing a modern approach to disseminating knowledge that fully embraces technology, enabling people all around the world to discover new ways of learning and teaching. By integrating their textbook, online content, and MOOC, all at the state of the art, they have built a unique resource that greatly expands the breadth and depth of the educational experience. Features + Benefits The #1 practical resource for everyone seeking to run programs faster or solve larger problems Surveys today´s most useful algorithms, with copious illustrations and examples Contains many new examples, ranging from physics, biology, and engineering to data compression and web search Contains real (not pseudocode) implementations, with detailed performance insights A companion web site, algs4.cs.princeton.edu , with many more resources for instructors, including text digests, program code, test data, programming projects, exercises, lecture slides, and other resources Preface viii Chapter 1: Fundamentals 3 1.1 Basic Programming Model 8 1.2 Data Abstraction 64 1.3 Bags, Queues, and Stacks 120 1.4 Analysis of Algorithms 172 1.5 Case Study: Union-Find 216 Chapter 2: Sorting 243 2.1 Elementary Sorts 244 2.2 Mergesort 270 2.3 Quicksort 288 2.4 Priority Queues 308 2.5 Applications