Download or read book Concepts of Modern Mathematics written by Ian Stewart and published by Courier Corporation. This book was released on 2012-05-23 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Download or read book Math in 100 Key Breakthroughs written by Richard Elwes and published by Quercus. This book was released on 2013-12-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Elwes is a writer, teacher and researcher in Mathematics, visiting fellow at the University of Leeds, and contributor to numerous popular science magazines. He is a committed and recognized popularizer of mathematics. Of Elwes, Sonder Books 2011 Standouts said, "Dr. Elwes is brilliant at giving the reader the broad perspective, with enough details to fascinate, rather than confuse." Math in 100 Key Breakthroughs offers a series of short, clear-eyed essays explaining the fundamentals of the mathematical concepts everyone should know. Professor Richard Elwes profiles the most important, groundbreaking, and astonishing discoveries, which together have profoundly influenced our understanding of the universe. From the origins of counting--traced back to more than 35,000 years ago--to such contemporary breakthroughs as Wiles' Proof of Fermat's Last Theorem and Cook & Woolfram's Rule 110, this compulsively readable book tells the story of discovery, invention, and inspiration that have led to humankind's most important mathematical achievements.
Download or read book Landscape of 21st Century Mathematics written by Bogdan Grechuk and published by Springer Nature. This book was released on 2021-09-21 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Landscape of 21st Century Mathematics offers a detailed cross section of contemporary mathematics. Important results of the 21st century are motivated and formulated, providing an overview of recent progress in the discipline. The theorems presented in this book have been selected among recent achievements whose statements can be fully appreciated without extensive background. Grouped by subject, the selected theorems represent all major areas of mathematics: number theory, combinatorics, analysis, algebra, geometry and topology, probability and statistics, algorithms and complexity, and logic and set theory. The presentation is self-contained with context, background and necessary definitions provided for each theorem, all without sacrificing mathematical rigour. Where feasible, brief indications of the main ideas of a proof are given. Rigorous yet accessible, this book presents an array of breathtaking recent advances in mathematics. It is written for everyone with a background in mathematics, from inquisitive university students to mathematicians curious about recent achievements in areas beyond their own.
Download or read book Breakthroughs In Writing and Language written by Contemporary and published by . This book was released on 1996-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Breakthroughs helps students master the essentials of math and problem-solving, sharpens critical-thinking skills for social studies, science, and reading, and develops effective writing skills. Breakthroughs in Writing and Language provides grammar and mechanics instruction integrated with writing activities.
Download or read book The Complete Book of Math Grades 1 2 written by and published by Carson-Dellosa Publishing. This book was released on 2014-12-01 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Complete Book of Math provides 352 pages of fun exercises for students in grades 1 to 2 that teach students key lessons in basic math skills. Lessons cover topics including patterns, comparing, geometry, place value, measurement, graphing, time and money, and fractions. it also includes a complete answer key, user-friendly activities, and easy-to-follow instructions. Over 4 million in print! Designed by leading experts, books in the Complete Book series help children in grades preschool-6 build a solid foundation in key subject areas for learning success. Complete Book are the most thorough and comprehensive learning guides available, offering high-interest lessons to encourage learning and full-color illustrations to spark interest. Each book also features challenging concepts and activities to motivate independent study, a fun page of stickers, and a complete answer key to measure performance and guide instruction.
Download or read book Synthetic Philosophy of Contemporary Mathematics written by Fernando Zalamea and published by National Geographic Books. This book was released on 2012-09-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.
Download or read book Data Driven Science and Engineering written by Steven L. Brunton and published by Cambridge University Press. This book was released on 2022-05-05 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Download or read book The Mathematical Tourist written by Ivars Peterson and published by Macmillan. This book was released on 1998-04-15 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first edition of The Mathematical Tourist, renowned science journalist Ivars Peterson took readers on an unforgettable tour through the sometimes bizarre, but always fascinating, landscape of modern mathematics. Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on * the relationship between mathematical knots and DNA * how computers based on quantum logic can significantly speed up the factoring of large composite numbers * the relationship between four-dimensional geometry and physical theories of the nature of matter * the application of cellular automata models to social questions and the peregrinations of virtual ants * a novel mathematical model of quasicrystals based on decagon-shaped tiles Blazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.
Download or read book Infinite Ascent written by David Berlinski and published by Modern Library. This book was released on 2011-08-17 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Infinite Ascent, David Berlinski, the acclaimed author of The Advent of the Algorithm, A Tour of the Calculus, and Newton’s Gift, tells the story of mathematics, bringing to life with wit, elegance, and deep insight a 2,500-year-long intellectual adventure. Berlinski focuses on the ten most important breakthroughs in mathematical history–and the men behind them. Here are Pythagoras, intoxicated by the mystical significance of numbers; Euclid, who gave the world the very idea of a proof; Leibniz and Newton, co-discoverers of the calculus; Cantor, master of the infinite; and Gödel, who in one magnificent proof placed everything in doubt. The elaboration of mathematical knowledge has meant nothing less than the unfolding of human consciousness itself. With his unmatched ability to make abstract ideas concrete and approachable, Berlinski both tells an engrossing tale and introduces us to the full power of what surely ranks as one of the greatest of all human endeavors.
Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
Download or read book How Math Explains the World written by D. Stein and published by Harper Collins. This book was released on 2009-03-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number p , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
Download or read book Mathematics From the Birth of Numbers written by Jan Gullberg and published by W. W. Norton & Company. This book was released on 1997-01-07 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt: An illustrated exploration of mathematics and its history, beginning with a study of numbers and their symbols, and continuing with a broad survey that includes consideration of algebra, geometry, hyperbolic functions, fractals, and many other mathematical functions.
Download or read book Advances in Differential Equations and Mathematical Physics written by Yulia E. Karpeshina and published by American Mathematical Soc.. This book was released on 2003 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics. Papers in this volume represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to non-relativistic and relativistic quantum mechanics, including time-dependent and random potential, resonances, many body systems, pseudodifferential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and nonequilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics.
Download or read book A History of Algebraic and Differential Topology 1900 1960 written by Jean Dieudonné and published by Springer Science & Business Media. This book was released on 2009-09-01 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet
Download or read book Recent Advances in Differential Equations and Mathematical Physics written by Nikolai Chernov and published by American Mathematical Soc.. This book was released on 2006 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys topics in differential equations that are associated with mathematical physics. This book includes such topics as asymptotic formulas for the ground-state energy of fermionic gas, $J$-self adjoint Dirac operators, and spectral theory of Schrodinger operators. It is suitable for mathematicians and physicists.
Download or read book Recent Advances in the Theory and Applications of Mass Transport written by José-Francisco Rodrigues and published by American Mathematical Soc.. This book was released on 2004 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains both survey and research articles on methods of optimal mass transport and applications in physics.
Download or read book The p Harmonic Equation and Recent Advances in Analysis written by Pietro Poggi-Corradini and published by American Mathematical Soc.. This book was released on 2005 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprised of papers from the IIIrd Prairie Analysis Seminar held at Kansas State University, this book reflects the many directions of current research in harmonic analysis and partial differential equations. Included is the work of the distinguished main speaker, Tadeusz Iwaniec, his invited guests John Lewis and Juan Manfredi, and many other leading researchers. The main topic is the so-called p-harmonic equation, which is a family of nonlinear partial differential equations generalizing the usual Laplace equation. This study of p-harmonic equations touches upon many areas of analysis with deep relations to functional analysis, potential theory, and calculus of variations. The material is suitable for graduate students and research mathematicians interested in harmonic analysis and partial differential equations.
