As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising solutions, Weird Math leads us from a lyrical exploration of mathematics in our universe to profound questions about God, chance, and infinity. A magical introduction to the mysteries of math, it will entrance beginners and seasoned mathematicians alike.

    Colorful and easy to use, this guide for the identification of shells includes general information on mollusks and advice on shell collecting and study.

    Wrote The Sand Reckoner and Got Killed Being Rude, ante meridiem (a.m.), Donner and Blitz in German, One Million, Euclid Wrote The Elements, Squares, Pacific and Atlantic Oceans, Whales Are Not Fish, The “There Are Zero . . .” Game, Sets, the Popularity of Zero, Why Boats Are Cheaper to Rent in the Winter, Triangles, Herbivores and Carnivores, the Colors of the Rainbow, a King in Checkmate, the Story of the Titanic, ≠ (not equal), x + 4 = 7, One Thousand, Counting by Hundreds, Reading 3:05 on a Clock, Rectangles.

    

     This top-selling, theorem-proof text presents a careful treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate.

    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

    Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

    David Peat explains the development and meaning of this Superstring Theory in a thoroughly readable, dramatic manner accessible to lay readers with no knowledge of mathematics. The consequences of the Superstring Theory are nothing less than astonishing.

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    I cannot conceive of any vital disaster happening to this vessel.” – Captain Edward J. Smith Just before midnight on April 14, 1912, the RMS Titanic, the largest ship in the world, hit an iceberg, starting a chain of events that would ultimately make it history’s most famous, and notorious, ship. In the over 100 years since it sank on its maiden voyage, the Titanic has been the subject of endless fascination, as evidenced by the efforts to find its final resting spot, the museums full of its objects, and the countless books, documentaries, and movies made about the doomed ocean liner. Thanks to the dramatization of the Titanic’s sinking and the undying interest in the story, millions of people are familiar with various aspects of the ship’s demise, and the nearly 1,500 people who died in the North Atlantic in the early morning hours of April 15, 1912. The sinking of the ship is still nearly as controversial now as it was over 100 years ago, and the drama is just as compelling. The Titanic was neither the first nor last big ship to sink, so it’s clear that much of its appeal stems from the nature of ship itself. Indeed, the Titanic stands out not just for its end but for its beginning, specifically the fact that it was the most luxurious passenger ship ever built at the time. In addition to the time it took to come up with the design, the giant ship took a full three years to build, and no effort or cost was spared to outfit the Titanic in the most lavish ways. Given that the Titanic was over 100 feet tall, nearly 900 feet long, and over 90 feet wide, it’s obvious that those who built her and provided all of its famous amenities had plenty of work to do. The massive ship was carrying thousands of passengers and crew members, each with their own experiences on board, and the various amenities offered among the different classes of passengers ensured that life on some decks of the ship was quite different than life on others. Almost everyone is familiar with what happened to the Titanic during its maiden voyage and the tragedy that followed, but the construction of the Titanic is often overlooked, despite being an amazing story itself, one that combined comfort and raw power with the world’s foremost technological advances. Nonetheless, the seeds of the Titanic’s destruction were sown even before it left for its first and last journey. Similarly, the drama involved with the sinking of the Titanic often obscures the important aftermath of the disaster, particularly the several investigations conducted on both sides of the Atlantic that sought to figure out not only why the Titanic sank but future changes that could be made in order to protect ships and passengers in the future. In fact, the course of the investigations was interesting in itself, especially since the British and Americans reached wildly different conclusions about what went wrong and led to the ship’s demise. The Titanic examines the entire history and legacy of the ship, from its construction to its sinking, as well as the investigations and changes that followed, the discovery of the wreck in 1985, and even the current events surrounding the ship.

    The Times called it elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf and The Philadelphia Inquirer praised it as absolutely scintillating. In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the Republic of Numbers, where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. Less than All, wrote William Blake, cannot satisfy Man. The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    Readerswill find information on frequency distributions; mean, median, and mode; range, variance, and standard deviation;probability; and more.-Emphasizes Microsoft Excel for number-crunching and computationsDownload a sample chapter.