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Mathematics
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Metamagical Themas : Questing for the Essence of Mind and Pattern by Douglas Hofstadter Paperback USED
Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.
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How to Ace The Rest of Calculus (Including Multivariable) The Streetwise Guide - Paperback
The sequel to How to Ace Calculus, How to Ace the Rest of Calculus provides humorous and highly readable explanations of the key topics of second and third semester calculus―such as sequences and series, polar coordinates, and multivariable calculus―without the technical details and fine print that would be found in a formal text.
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The Millennium Problems by Keith Devlin - Hardcover USED Mathematics
Only 1 left in stockIn 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive 1 million in prize money.
There was some precedent for doing this: in 1900 David Hilbert, one of the greatest mathematicians of his day, proposed twenty-three problems, now known as the Hilbert Problems, that set much of the agenda for mathematics in the twentieth century. The Millennium Problems are likely to acquire similar stature, and their solution (or lack of one) is likely to play a strong role in determining the course of mathematics in the current century.
Keith Devlin, renowned expositor of mathematics, tells here what the seven problems are, how they came about, and what they mean for math and science.These problems are the brass rings held out to today's mathematicians, glittering and just out of reach. In the hands of Keith Devlin, "the Math Guy" from NPR's "Weekend Edition," each Millennium Problem becomes a fascinating window onto the deepest and toughest questions in the field. For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life.
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TI-82 Graphics Calculator Guidebook - Texas Instruments ORIGINAL 1994
Only 1 left in stockThis is a replacement manual for the Texas Instruments TI-82 Graphing Calculator. This is identical to the book that the calculator shipped with in 1994 until the present day.
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Abstract Algebra by Ronald Solomon - Hardcover USED Very Good Mathematics
Only 1 left in stockIn the same way the subject evolved historically, Ronald Solomon lets the abstract concepts emerge gradually from less abstract problems about geometry, polynomials, numbers, and more. Solomon also strongly emphasizes the connections between algebra and other areas of mathematics -- analysis (the infinitesimal calculus) and geometry. Readers will see that the various areas of mathematics are not hermetically sealed off from each other and that most of the truly important achievements in mathematics have been the product of a fruitful interaction of different areas. Using this book, readers will gain a true understanding of the subject while being creative mathematically as opposed to simply imitating template problems.
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Simon : The Genius in My Basement by Alexander Masters - Hardcover Biography
Only 1 left in stockAlexander Masters tripped over his first book subject on a Cambridge sidewalk, and the result was the multi-award-winning bestseller Stuart: A Life Backwards. His second, he’s found under his floorboards.
One of the greatest mathematical prodigies of the twentieth century, Simon Norton stomps around Alexander’s basement in semidarkness, dodging between stalagmites of bus timetables and engorged plastic bags, eating tinned kippers stirred into packets of Bombay mix. Simon is exploring a theoretical puzzle so complex and critical to our understanding of the universe that it is known as the Monster. It looks like a sudoku table—except a sudoku table has nine columns of numbers.
The Monster has 808017424794512875886459904961710757005754368000000000 columns.
But that’s not the whole story. What’s inside the decaying sports bag he never lets out of his clutches? Why does he hurtle out of the house in the middle of the night? And—good God!—what is that noxious smell that creeps up the stairwell?
Grumpy, poignant, comical—more intimate than either the author or his quarry intended—Simon: The Genius in My Basement is the story of a friendship and a pursuit. Part biography, part memoir, and part popular science, it is a study of the frailty of brilliance, the measures of happiness, and Britain’s most uncooperative egghead eccentric.
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CRC Standard Mathematical Tables - Hardcover USED 15th Edition Reference
Only 1 left in stockThe CRC Standard Mathematical Tables is the benchmark reference and most comprehensive handbook. It is invaluable for professionals and students in mathematical and scientific fields such as engineering, acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics, satellite navigation, control systems, and rocket science. With over 6,000 entries, Chemical Rubber Company Standard Mathematical Tables and Formulae, 15th Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material.
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The Man Who Loved Only Numbers by Paul Hoffman - Paperback
The Man Who Loved Only Numbers : The Story of Paul Erdos and the Search for Mathematical Truth by Paul Hoffman
Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries.
From Scientific American
The peripatetic Hungarian mathematician Paul Erdos (19131996) was renowned for his almost total concentration on his work. Hoffman describes him as "a mathematical monk" who renounced physical pleasure and material possessions for an ascetic, contemplative life, a life devoted to uncovering mathematical truth. This he did in 1,475 papers that he wrote or co-authored with 485 collaborators--more than any other mathematician has produced and a landmark that has given rise to the cherished "Erdos number." An Erdos co-author's number is 1; a mathematician who has published with someone who was an Erdos co-author is a 2, and so on in widening circles to infinity for everyone who has never written a mathematical paper. Hoffman is among those at infinity, but he describes Erdos's life and eccentricities engagingly and deals comprehensively with the great man's mathematical work.
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TENSORS made easy with SOLVED PROBLEMS by Giancarlo Bernacchi - Paperback
Only 1 left in stockA friendly and non-formal approach to a subject of abstract mathematics that has important applications in physics, especially in General Relativity, but also in other sectors.
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Number Theory (Dover Books on Mathematics) by George E. Andrews - Paperback
Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic.
In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.
Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.
Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated.
George E. Andrews, Evan Pugh Professor of Mathematics at Pennsylvania State University, author of the well-established text Number Theory (first published by Saunders in 1971 and reprinted by Dover in 1994), has led an active career discovering fascinating phenomena in his chosen field — number theory. Perhaps his greatest discovery, however, was not solely one in the intellectual realm but in the physical world as well.
In 1975, on a visit to Trinity College in Cambridge to study the papers of the late mathematician George N. Watson, Andrews found what turned out to be one of the actual Holy Grails of number theory, the document that became known as the "Lost Notebook" of the great Indian mathematician Srinivasa Ramanujan. It happened that the previously unknown notebook thus discovered included an immense amount of Ramanujan's original work bearing on one of Andrews' main mathematical preoccupations — mock theta functions. Collaborating with colleague Bruce C. Berndt of the University of Illinois at Urbana-Champaign, Andrews has since published the first two of a planned three-volume sequence based on Ramanujan's Lost Notebook, and will see the project completed with the appearance of the third volume in the next few years.
In the Author's Own Words:
"It seems to me that there's this grand mathematical world out there, and I am wandering through it and discovering fascinating phenomena that often totally surprise me. I do not think of mathematics as invented but rather discovered." — George E. Andrews -
An Introduction to Information Theory by John R. Pierce - Paperback Dover Edition
An Introduction to Information Theory : Symbols, Signals and Noise (Dover Books on Mathematics) by John R. Pierce - Paperback
"Uncommonly good...the most satisfying discussion to be found." — Scientific American.
Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter. Even more revolutionary progress is expected in the future.
To give a solid introduction to this burgeoning field, J. R. Pierce has revised his well-received 1961 study of information theory for a second edition. Beginning with the origins of the field, Dr. Pierce follows the brilliant formulations of Claude Shannon and describes such aspects of the subject as encoding and binary digits, entropy, language and meaning, efficient encoding, and the noisy channel. He then goes beyond the strict confines of the topic to explore the ways in which information theory relates to physics, cybernetics, psychology, and art. Mathematical formulas are introduced at the appropriate points for the benefit of serious students. A glossary of terms and an appendix on mathematical notation are proved to help the less mathematically sophisticated.
J. R. Pierce worked for many years at the Bell Telephone Laboratories, where he became Director of Research in Communications Principles. His Introduction to Information Theory continues to be the most impressive nontechnical account available and a fascinating introduction to the subject for lay readers.
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Mind Tools : The Five Levels of Mathematical Reality 1st Edition by Rudy Rucker - Paperback
Only 1 left in stockNow available in paperback, Mind Tools connects mathematics to the world around us. Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.
This reader-friendly volume groups the patterns of mathematics into five archetypes: numbers, space, logic, infinity, and information. Rudy Rucker presents an accessible introduction to each of these important areas, reflecting intelligence gathered from the frontiers of mathematical thought. More than 100 drawings illuminate explorations of digital versus analog processes, logic as a computing tool, communication as information transmission, and other "mind tools."
"Mind Tools is an original and fascinating look at various aspects of mathematics that is sure to fascinate the nonmathematician." — Isaac Asimov
"A lighthearted romp through contemporary mathematics. . . . Mind Tools is a delight." — San Francisco Chronicle
"For those who gave up college mathematics for what seemed more liberal arts, Rudy Rucker's book, Mind Tools, is a dazzling refresher course. . . . He rekindles the wonder that can come from contemplating logarithms, exponential curves and transcendental numbers." — The New York Times Book Review"One of Rucker's greatest assets is his ability to make complexities comprehensible to the general reader without lecturing." — The Washington Post
"Approaching all of mathematics, and everything else, by way of information theory, Dr. Rucker's latest and most exciting book opens vistas of dazzling beauty — scenes that blend order with chaos, reality with fantasy, that startle you with their depths of impenetrable mystery." — Martin Gardner
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Representation Theory of Finite Groups and Associative Algebras (Wiley Classics Library) by Charles W. Curtis and‎ Irving Reiner - Paperback USED Nearly New Cond.
Only 1 left in stockThis book offers a self-contained and up-to-date account of the representation theory of finite groups and associative rings and algebras. It pays particular attention to the theory of induced characters and induced representations, quasi-Frobenius rings and Frobenius algebras, integral representations, and the theory of modular representations. While emphasizing general methods and building the theory on the study of modules over rings with minimal condition, the book features enough examples and problems to help the researcher who needs to compute explicit representations for particular groups. In addition, the text includes some applications of group representations to the structure theory of finite groups, and a survey of current literature dealing with these applications. Neither encyclopedic nor historical in nature, this work concentrates instead on the most important and fruitful results, yet includes as much preliminary material as necessary for their proofs.
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Problems in Group Theory by John D. Dixon - Paperback USED
Only 1 left in stockText deals with subgroups, permutation groups, automorphisms and finitely generated abelian groups, normal series, commutators and derived series, solvable and nilpotent groups, the group ring and monomial representations, Frattini subgroup, factorization, linear gorups, and representations and characters—in all, 431 problems. Full solutions to problems in separate section.
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A Course on Group Theory Revised Edition by John S. Rose - Paperback Dover Edition
This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications.
Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.
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Introduction to Topology Third 3rd Edition by Bert Mendelson - Paperback Dover Edition
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.
The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n-space and which lead to the ordinary topology.
Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.
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Introduction to Graph Theory 2nd Edition by Richard J. Trudeau - Paperback Dover Edition
A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. Requiring only high school algebra as mathematical background, the book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, and a discussion of The Seven Bridges of Konigsberg. Exercises are included at the end of each chapter.
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Experiments in Topology by Stephen Barr - Paperback Dover Edition
Only 1 left in stock"A mathematician named Klein
Thought the Moebius band was divine.
Said he: 'If you glue
The edges of two,
You'll get a weird bottle like mine.' " — Stephen BarrIn this lively book, the classic in its field, a master of recreational topology invites readers to venture into such tantalizing topological realms as continuity and connectedness via the Klein bottle and the Moebius strip. Beginning with a definition of topology and a discussion of Euler's theorem, Mr. Barr brings wit and clarity to these topics:
- New Surfaces (Orientability, Dimension, The Klein Bottle, etc.)
- The Shortest Moebius Strip
- The Conical Moebius Strip
- The Klein Bottle
- The Projective Plane (Symmetry)
- Map Coloring
- Networks (Koenigsberg Bridges, Betti Numbers, Knots)
- The Trial of the Punctured Torus
- Continuity and Discreteness ("Next Number," Continuity, Neighborhoods, Limit Points)
- Sets (Valid or Merely True? Venn Diagrams, Open and Closed Sets, Transformations, Mapping, Homotopy)
With this book and a square sheet of paper, the reader can make paper Klein bottles, step by step; then, by intersecting or cutting the bottle, make Moebius strips. Conical Moebius strips, projective planes, the principle of map coloring, the classic problem of the Koenigsberg bridges, and many more aspects of topology are carefully and concisely illuminated by the author's informal and entertaining approach.
Now in this inexpensive paperback edition, Experiments in Topology belongs in the library of any math enthusiast with a taste for brainteasing adventures in the byways of mathematics.
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Boundary Value Problems and Fourier Expansions by Charles R. MacCluer - Paperback Revised Edition
Only 1 left in stockBased on modern Sobolev methods, this text for advanced undergraduates and graduate students is highly physical in its orientation. It integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. The first five sections form an informal introduction that develops students' physical and mathematical intuition. The following section introduces Hilbert space in its natural environment, and the next six sections pose and solve the standard problems. The final seven sections feature concise introductions to selected topics, including Sturm-Liouville problems, Fourier integrals, Galerkin's method, and Sobolev methods. 2004 revised edition. 64 figures. Exercises.
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The Pea and the Sun : A Mathematical Paradox - Paperback
Only 1 left in stockTake an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.
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Poincare's Prize by George G. Szpiro - Paperback USED Like New
Only 1 left in stockThe amazing story of one of the greatest math problems of all time and the reclusive genius who solved it
"[Szpiro] turns the abstract mathematics of spheres into a lucid, lovely romantic odyssey."--Sylvia Nasar, author of A Beautiful Mind
In the tradition of Fermat’s Enigma and Prime Obsession, George Szpiro brings to life the giants of mathematics who struggled to prove a theorem for a century and the mysterious man from St. Petersburg, Grigory Perelman, who fi nally accomplished the impossible. In 1904 Henri Poincaré developed the Poincaré Conjecture, an attempt to understand higher-dimensional space and possibly the shape of the universe. The problem was he couldn’t prove it. A century later it was named a Millennium Prize problem, one of the seven hardest problems we can imagine. Now this holy grail of mathematics has been found.
Accessibly interweaving history and math, Szpiro captures the passion, frustration, and excitement of the hunt, and provides a fascinating portrait of a contemporary noble-genius.
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Symmetry and the Monster by Mark Ronana - Hardcover FIRST EDITION
Only 1 left in stockMathematics is driven forward by the quest to solve a small number of major problems--the four most famous challenges being Fermat's Last Theorem, the Riemann Hypothesis, Poincaré's Conjecture, and the quest for the "Monster" of Symmetry. Now, in an exciting, fast-paced historical narrative ranging across two centuries, Mark Ronan takes us on an exhilarating tour of this final mathematical quest.
Ronan describes how the quest to understand symmetry really began with the tragic young genius Evariste Galois, who died at the age of 20 in a duel. Galois, who spent the night before he died frantically scribbling his unpublished discoveries, used symmetry to understand algebraic equations, and he discovered that there were building blocks or "atoms of symmetry." Most of these building blocks fit into a table, rather like the periodic table of elements, but mathematicians have found 26 exceptions. The biggest of these was dubbed "the Monster"--a giant snowflake in 196,884 dimensions. Ronan, who personally knows the individuals now working on this problem, reveals how the Monster was only dimly seen at first. As more and more mathematicians became involved, the Monster became clearer, and it was found to be not monstrous but a beautiful form that pointed out deep connections between symmetry, string theory, and the very fabric and form of the universe.
This story of discovery involves extraordinary characters, and Mark Ronan brings these people to life, vividly recreating the growing excitement of what became the biggest joint project ever in the field of mathematics. Vibrantly written, Symmetry and the Monster is a must-read for all fans of popular science--and especially readers of such books as Fermat's Last Theorem.
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On Formally Undecidable Propositions of Principia Mathematica and Related Systems by Kurt Gödel - Paperback
In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Gödel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.
The present volume reprints the first English translation of Gödel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.
This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
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Newton's Principia for the Common Reader - Hardcover
Only 1 left in stockRepresenting a decade's work from one of the world's most distinguished physicists, this major publication is, as far as is known, the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law of gravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty, clarity, and breathtaking economy of Newton's methods. This book will stimulate great interest and debate among the scientific community, illuminating the brilliance of Newton's work under the steady gaze of Chandrasekhar's rare perception.
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Coincidences, Chaos, and All That Math Jazz by Edward Burger and Michael Starbird - Hardcover SIGNED
Only 1 left in stockAn irreverent and accessible explanation of challenging puzzles within the world of mathematics considers such topics as the link between a pineapple's spirals and the famous Fibonacci numbers, the shape of the universe as reflected by a twisted strip of paper, and the parallels between the Lincoln and Kennedy assassinations.
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Meta Math! : The Quest for Omega by Gregory Chaitin - Hardcover FIRST EDITION
Only 1 left in stockIn Meta Math!, Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey of scientific discovery and illuminates the process by which he arrived at his groundbreaking theories.
“A startling vision of the future of mathematics. . . . The Chaitinesque intellectual future will be eternally youthful and anarchic.”–American Scientist
“Math’s dark secret is out. . . . Chaitin explains why omega, a number he discovered thirty years ago, has him convinced that math is based on randomness.”–Time Magazine
“Captivating. . . . With extraordinary skill and a gentle humor, Chaitin shares his profound insights.” –Paul Davies, author of How to Build a Time MachineAll of science is based on mathematics, but mathematicians have become painfully aware that math itself has serious limitations. This notion was first revealed in the work of two giants of twentieth-century mathematics: Kurt Gödel and Alan Turing. Now their successor, Gregory Chaitin, digs even deeper into the foundations of mathematics, demonstrating that mathematics is riddled with randomness, enigmas, and paradoxes.
Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what, ultimately, we can know about the universe and the very nature of life. But if unknowability is at the core of Chaitin’s theories, the great gift of his book is its completely engaging knowability. In an infectious and enthusiastic narrative, Chaitin introduces us to his passion for mathematics at its deepest and most philosophical level, and delineates the specific intellectual and intuitive steps he took toward the discovery of Omega. In the final analysis, he shows us that mathematics is as much art as logic, as much experimental science as pure reasoning. And by the end, he has helped us to see and appreciate the art––and the sheer beauty––in the science of math.
In Meta Math!, Gregory Chaitin takes us to the very frontiers of scientific thinking. It is a thrilling ride.
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Mathematical Mysteries by Calvin C. Clawson - Paperback
Only 1 left in stockWhy seemingly unrelated mathematical truths are connected in simple and beautiful equations continues to stump even mathematicians. This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.
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Probability and Statistics : Crash Course : Schaum's Easy Outlines - Paperback
Only 1 left in stockBoiled-down essentials of the top-selling Schaum's Outline series for the student with limited time
What could be better than the bestselling Schaum's Outline series? For students looking for a quick nuts-and-bolts overview, it would have to be Schaum's Easy Outline series. Every book in this series is a pared-down, simplified, and tightly focused version of its predecessor. With an emphasis on clarity and brevity, each new title features a streamlined and updated format and the absolute essence of the subject, presented in a concise and readily understandable form.
Graphic elements such as sidebars, reader-alert icons, and boxed highlights stress selected points from the text, illuminate keys to learning, and give students quick pointers to the essentials.
- Designed to appeal to underprepared students and readers turned off by dense text
- Cartoons, sidebars, icons, and other graphic pointers get the material across fast
- Concise text focuses on the essence of the subject
- Delivers expert help from teachers who are authorities in their fields
- Perfect for last-minute test preparation
- So small and light that they fit in a backpack!
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Advanced Number Theory by Harvey Cohn - Paperback Graduate Mathematics
Only 1 left in stock"A very stimulating book ... in a class by itself." — American MathematicalMonthly
Advanced students, mathematicians and number theorists will welcome this stimulating treatment of advanced number theory, which approaches the complex topic of algebraic number theory from a historical standpoint, taking pains to show the reader how concepts, definitions and theories have evolved during the last two centuries. Moreover, the book abounds with numerical examples and more concrete, specific theorems than are found in most contemporary treatments of the subject.The book is divided into three parts. Part I is concerned with background material — a synopsis of elementary number theory (including quadratic congruences and the Jacobi symbol), characters of residue class groups via the structure theorem for finite abelian groups, first notions of integral domains, modules and lattices, and such basis theorems as Kronecker's Basis Theorem for Abelian Groups.
Part II discusses ideal theory in quadratic fields, with chapters on unique factorization and units, unique factorization into ideals, norms and ideal classes (in particular, Minkowski's theorem), and class structure in quadratic fields. Applications of this material are made in Part III to class number formulas and primes in arithmetic progression, quadratic reciprocity in the rational domain and the relationship between quadratic forms and ideals, including the theory of composition, orders and genera. In a final concluding survey of more recent developments, Dr. Cohn takes up Cyclotomic Fields and Gaussian Sums, Class Fields and Global and Local Viewpoints.
In addition to numerous helpful diagrams and tables throughout the text, appendices, and an annotated bibliography, Advanced Number Theory also includes over 200 problems specially designed to stimulate the spirit of experimentation which has traditionally ruled number theory.
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Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems by DW Jordan and Peter Smith
Only 1 left in stockNonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems (Oxford Texts in Applied and Engineering Mathematics) 3rd Edition
by D. W. Jordan and Peter Smith
Nonlinear Ordinary Differential Equations was first published in 1977 and has since become a standard text in the teaching of the subject. It takes a qualitative approach, and is designed for advanced undergraduate and graduate students of dynamical systems in mathematics or mathematics-related subjects. The text of this third edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos. The book is directed towards practical applications of the theory, with several hundred examples and problems covering a wide variety of applications. Prerequisites are kept to a minimum, with appendices containing the necessary mathematical theory new to this edition.
"The subject has wide applications in physical, biological, and social sciences which continuously supply new problems of practical and theoretical importance. The book does a good job in motivating the reader in such pursuits, and presents the subject in a simple but elegant style." --P. K. Kythe in Applied Mechanics Reviews
About the Author
Dominic Jordan is at University of Keele. Peter Smith is at University of Keele.