Download or read book Pascal s Arithmetical Triangle written by A.W.F. Edwards and published by Courier Dover Publications. This book was released on 2019-06-12 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An impressive culmination of meticulous research into original sources, this definitive study constitutes the first full-length history of the Arithmetic Triangle." — Mathematics of Computation Pascal's Arithmetical Triangle was named for the seventeenth-century French philosopher/mathematician Blaise Pascal, though he did not invent it. A never-ending equilateral triangle of numbers that follow the rule of adding the two numbers above to get the number below, it appears much earlier in the literature of Hindu and Arabic mathematics and continues to fascinate Western mathematicians. Two sides are comprised of "all 1s," and because the triangle is infinite, there is no "bottom side." This book by A. W. F. Edwards, Professor of Biometry at the University of Cambridge, explores Pascal's Arithmetical Triangle and the way it has been studied, enjoyed, and used by mathematicians throughout history. "A fascinating book...giving new insights into the early history of probability theory and combinatorics and incidentally providing much stimulating material for teachers of mathematics." — G. A. Bernard, International Statistical Institute Review "Scrupulously researched . . . carries the reader along in a rewarding manner. It is a scientific who-dun-it and one must admire the author for the scholarly yet unpedantic manner in which he disperses some of the mists of antiquity." — A. W. Kemp, Biometrics "Recommended not only to historians and mathematicians, but also to students seeking to put some life into the dry treatment of these topics to which they have doubtless been subjected." — Ivor Grattan-Guinness, Annals of Science

Download or read book Combinatorics written by Nicholas Loehr and published by CRC Press. This book was released on 2017-08-10 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.

Download or read book Pascal s Wager written by Paul Bartha and published by Cambridge University Press. This book was released on 2018-10-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In his famous Wager, Blaise Pascal (1623–62) offers the reader an argument that it is rational to strive to believe in God. Philosophical debates about this classic argument have continued until our own times. This volume provides a comprehensive examination of Pascal's Wager, including its theological framework, its place in the history of philosophy, and its importance to contemporary decision theory. The volume starts with a valuable primer on infinity and decision theory for students and non-specialists. A sequence of chapters then examines topics including the Wager's underlying theology, its influence on later philosophical figures, and contemporary analyses of the Wager including Alan Hájek's challenge to its validity, the many gods objection, and the ethics of belief. The final five chapters explore various ways in which the Wager has inspired contemporary decision theory, including questions related to infinite utility, imprecise probabilities, and infinitesimals.

Download or read book AP Precalculus Premium 2024 3 Practice Tests Comprehensive Review Online Practice written by Christina Pawlowski-Polanish and published by Simon and Schuster. This book was released on 2023-07-04 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Be prepared for exam day with Barron's. Trusted content from AP experts! Barron's BRAND-NEW AP Precalculus Premium, 2024 includes in-depth content review and online practice for the AP Precalculus exam. It's the only book you'll need to be prepared for exam day. Written by Experienced Educators Learn from Barron's--all content is written and reviewed by AP experts Build your understanding with comprehensive review tailored to the most recent exams Get a leg up with tips, strategies, and study advice for exam day--it's like having a trusted tutor by your side Be Confident on Exam Day Sharpen your test-taking skills with 3 full-length practice tests--including a diagnostic and one practice test online Strengthen your knowledge with in-depth review covering all Units on the AP Precalculus Exam Reinforce your learning with multiple-choice practice questions at the end of each chapter all with comprehensive answer explanations Online Practice Continue your practice with 1 full-length practice test on Barron's Online Learning Hub Simulate the exam experience with a timed test option Deepen your understanding with detailed answer explanations and expert advice Gain confidence with scoring to check your learning progress

Download or read book Finite and Infinite Dimensional Analysis in Honor of Leonard Gross written by Hui-Hsiung Kuo and published by American Mathematical Soc.. This book was released on 2003 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.

Download or read book Fibonacci and Lucas Numbers with Applications written by Thomas Koshy and published by John Wiley & Sons. This book was released on 2011-10-24 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of mathematics' most fascinatingnumber sequences Fibonacci and Lucas numbers have intrigued amateur and professionalmathematicians for centuries. This volume represents the firstattempt to compile a definitive history and authoritative analysisof these famous integer sequences, complete with a wealth ofexciting applications, enlightening examples, and fun exercisesthat offer numerous opportunities for exploration andexperimentation. The author has assembled a myriad of fascinating properties of bothFibonacci and Lucas numbers-as developed by a wide range ofsources-and catalogued their applications in a multitude of widelyvaried disciplines such as art, stock market investing,engineering, and neurophysiology. Most of the engaging anddelightful material here is easily accessible to college and evenhigh school students, though advanced material is included tochallenge more sophisticated Fibonacci enthusiasts. A historicalsurvey of the development of Fibonacci and Lucas numbers,biographical sketches of intriguing personalities involved indeveloping the subject, and illustrative examples round out thisthorough and amusing survey. Most chapters conclude with numericand theoretical exercises that do not rely on long and tediousproofs of theorems. Highlights include: * Balanced blend of theory and real-world applications * Excellent reference material for student reports andprojects * User-friendly, informal, and entertaining writing style * Historical interjections and short biographies that add a richerperspective to the topic * Reference sections providing important symbols, problemsolutions, and fundamental properties from the theory of numbersand matrices Fibonacci and Lucas Numbers with Applications providesmathematicians with a wealth of reference material in oneconvenient volume and presents an in-depth and entertainingresource for enthusiasts at every level and from any background.

Download or read book Journal of Pascal Ada Modula 2 written by and published by . This book was released on 1987 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book PC Mag written by and published by . This book was released on 1986-10-14 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: PCMag.com is a leading authority on technology, delivering Labs-based, independent reviews of the latest products and services. Our expert industry analysis and practical solutions help you make better buying decisions and get more from technology.

Download or read book Encyclopedia of Texas Indians written by Donald Ricky and published by Somerset Publishers, Inc.. This book was released on 1998-01-01 with total page 1135 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a great deal of information on the native peoples of the United States, which exists largely in national publications. Since much of Native American history occurred before statehood, there is a need for information on Native Americans of the region to fully understand the history and culture of the native peoples that occupied Texas and the surrounding areas. The first section is contains an overview of early history of the state and region. The second section contains an A to Z dictionary of tribal articles and biographies of noteworthy Native Americans that have contributed to the history of Texas.

Download or read book Proceedings written by Tōkyō Sūgaku Butsuri Gakkai and published by . This book was released on 1906 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Barron s Math 360 A Complete Study Guide to Pre Calculus with Online Practice written by Lawrence S. Leff and published by Simon and Schuster. This book was released on 2021-09-07 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Barron's Math 360 provides a complete guide to the fundamentals of pre-calculus. Whether you're a student or just looking to expand your brain power, this book is your go-to resource for everything pre-calculus. Carefully designed for optimal learning, you'll find: Comprehensive content, including instructive illustrations and examples that simplify complex concepts, Extensive review and practice to check your understanding, Online practice questions to take your study a step further Book jacket.

Download or read book Introduction to Pascal and Structured Design written by Nell B. Dale and published by Jones & Bartlett Learning. This book was released on 1996-11 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Pascal and Structured Design, provides a concise, accessible introduction to computer science. Using Pascal programming as a tool to shape students' understanding of the discipline, the text offers a strong focus on good programming habits and techniques. The smooth integration of programming essentials, software engineering principles and contemporary theory creates an effective blend for students' first courses in computer science. An emphasis on conceptual understanding, problem solving, and algorithmic design teaches the skills needed for effective program implementation. A wide array of in-text learning aids, including Problem-Solving Case Studies, ample exercises and problems, and nine useful appendices, completes the text. Click here for downloadable student files

Download or read book Newsletter written by University of Michigan Computing Center and published by . This book was released on 1980 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Applications of Fibonacci Numbers written by Fredric T. Howard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 33 papers from among the 41 papers presented at the Eighth International Conference on Fibonacci Numbers and Their Applications which was held at the Rochester Institute of Technology, Rochester, New York, from June 22 to June 26, 1998. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is anticipated that this book, like its seven predecessors, will be useful to research workers and graduate students interested in the Fibonacci numbers and their applications. June 1, 1999 The Editor F. T. Howard Mathematics and Computer Science Wake Forest University Box 7388 Reynolda Station Winston-Salem, NC USA xvii THE ORGANIZING COMMITTEES LOCAL COMMITTEE INTERNATIONAL COMMITTEE Anderson, Peter G. , Chairman Horadam, A. F. (Australia), Co-Chair Arpaya, Pasqual Philippou, A. N. (Cyprus), Co-Chair Biles, John Bergum, G. E. (U. S. A. ) Orr, Richard Filipponi, P. (Italy) Radziszowski, Stanislaw Harborth, H. (Germany) Rich, Nelson Horibe, Y. (Japan) Howard, F. (U. S. A. ) Johnson, M. (U. S. A. ) Kiss, P. (Hungary) Phillips, G. M. (Scotland) Turner, J. (New Zealand) Waddill, M. E. (U. S. A. ) xix LIST OF CONTRIBUTORS TO THE CONFERENCE AGRATINI, OCTAVIAN, "Unusual Equations in Study. " *ANDO, SHIRO, (coauthor Daihachiro Sato), "On the Generalized Binomial Coefficients Defined by Strong Divisibility Sequences. " *ANATASSOVA, VASSIA K. , (coauthor J. C.

Download or read book The Bookseller written by and published by . This book was released on 1902 with total page 1222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1871-76, 1913-14 include an extra number, The Christmas bookseller, separately paged and not included in the consecutive numbering of the regular series.

Download or read book Nuclear Magnetic Resonance written by P. J. Hore and published by . This book was released on 2015 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear Magnetic Resonance offers an accessible introduction to the physical principles of liquid-state NMR, with examples, applications, and exercises provided throughout to enable beginning undergraduates to get to grips with this important analytical technique.

Download or read book Glasgow Pascal Compiler with vector extensions written by Paul Cockshott and published by Lulu.com. This book was released on 2011-07-14 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: A manual for the Glasgow Pascal compiler that supports parallel processing.