But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    It far surpasses any previous explanation of Relativity for laypersons.

    The book begins with relevant scientific fundamentals and progresses through an exploration of the solar system, stars, galaxies, and cosmology. The Astronomy textbook builds student understanding through the use of relevant analogies, clear and non-technical explanations, and rich illustrations. Mathematics is included in a flexible manner to meet the needs of individual instructors.

    I am only passionately curious.I have reached an age when, if someone tells me to wear socks, I don't have to.--Albert EinsteinAlbert Einstein was a prolific--and often thoughtful and gifted--writer, and he is immensely quotable. This collection of approximately 550 quotations by and about Einstein for the first time arranges his thoughts and ideas thematically. Here we can easily find Einstein's thoughts on everything from America and Americans, Germans and Germany, Jews and Zionism, war and peace, politics, religion and science, to more personal subjects, such as abortion, youth and aging, love and marriage, music, and pets. There is something to please everyone--and something to offend everyone. Also included are sections on what Einstein has said about other famous people, what others have said about him, a chronology including biographical data, an updated family tree that includes great-great-grandchildren, answers to the most common questions about Einstein, and a selected bibliography. The book includes an engaging foreword by Princeton physicist Freeman Dyson.To help the reader or researcher, two indexes are provided. The Index of Key Words will help readers find familiar quotations, and the Subject Index will lead them to subjects of particular interest. The book provides documentation, generally of primary sources such as the Einstein Archive and The Collected Papers of Albert Einstein.This book introduces readers to Einstein's many sides: by turns irascible and benign, warmly humorous and coldly dismissive, one who was at first bemused by the fame the world bestowed on him but who came to abhor the glare of publicity. We also see Einstein's development from the earliest quotations of a seventeen-year-old boy to his final words at age seventy-six.-- "The Bloomsbury Review"

    The ability to duplicate that process in a lab, once thought impossible, may now be closer than we think. Today, teams of scientists around the world are being assembled by the boldest entrepreneurs, big business, and governments to solve what is the most difficult technological challenge humanity has ever faced: building the equivalent of a star on earth. If their plans to capture star power are successful, they will unlock thousands, potentially millions, of years of clean, carbon-free energy. Not only would controlled nuclear fusion help solve the climate crisis, it could also make other highly desired technological ambitions possible—like journeying to the stars. Given the rising alarm over deterioration of the environment, and the strides being made in laser and magnetic field technology, powerful momentum is gathering behind fusion and the possibilities it offers. In The Star Builders, award-winning young plasma physicist Arthur Turrell “offers an optimistic outlook for the future of fusion power and is adamant about the need to invest in it” (The New York Times). Turrell describes fascinating star machines with ten times as many parts as the NASA Space Shuttle, and structures that extend over 400 acres in an accessible and entertaining account, spotlighting the individuals, firms, and institutions racing for the finish line: science-minded entrepreneurs like Jeff Bezos and Peter Thiel, companies like Goldman Sachs and Google, universities like Oxford and MIT, and virtually every rich nation. It’s an exciting and game-changing international quest that will make all of us winners.

    Highly recommended for graduate-level libraries.' ChoiceThis highly successful text, which first appeared in the year 1972 and has continued to be popular ever since, has now been brought up-to-date by incorporating the remarkable developments in the field of 'phase transitions and critical phenomena' that took place over the intervening years. This has been done by adding three new chapters (comprising over 150 pages and containing over 60 homework problems) which should enhance the usefulness of the book for both students and instructors. We trust that this classic text, which has been widely acclaimed for its clean derivations and clear explanations, will continue to provide further generations of students a sound training in the methods of statistical physics.

    His matrix theory is one of the bases of modern quantum mechanics, while his "uncertainty principle" has altered our whole philosophy of science.In this classic, based on lectures delivered at the University of Chicago, Heisenberg presents a complete physical picture of quantum theory. He covers not only his own contributions, but also those of Bohr, Dirac, Bose, de Broglie, Fermi, Einstein, Pauli, Schrodinger, Somerfield, Rupp, ·Wilson, Germer, and others in a text written for the physical scientist who is not a specialist in quantum theory or in modern mathematics.Partial contents: introduction (theory and experiment, fundamental concepts); critique of physical concepts of the corpuscular theory (uncertainty relations and their illustration); critique of the physical concepts of the wave theory (uncertainty relations for waves, discussion of an actual measurement of the electromagnetic field); statistical interpretation of quantum theory (mathematical considerations, interference of probabilities, Bohr's complementarity); discussion of important experiments (C. T. R. Wilson, diffraction , Einstein-Rupp, emission, absorption and dispersion of radiation, interference and conservation laws, Compton effect, radiation fluctuation phenomena, relativistic formulation of the quantum theory).An 80-page appendix on the mathematical apparatus of the quantum theory is provided for the specialist.

    Be prepared to question the world you live in and everything you thought you knew about the universe, human origins, and the lost civilizations of the past. Discover thought-bending evidence from some of the oldest text ever written and learn the reasons why their content eventually became suppressed and hidden from most of society. Conspiracy theories or conspiracy facts, you decide what's real based on the evidence. Once you read The Stage of Time, your perspective on reality may never be quite the same way again. This book includes: -Details about the ancient civilizations that once existed around the world and the events which led to their disappearance. -Translations from ancient texts that include: The Atrahasis, Enuma Elish, Sumerian King List, Eridu Genesis, Code of Hammurabi, Emerald Tablets, and more. -The eagle and the serpent, cataclysms during the last ice age, and the influences of the Anunnaki. -Secrets of consciousness, reincarnation, spirituality, and sentient life in the universe.

    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."

    --Carlo Rovelli, author of Seven Brief Lessons on Physics and Helgoland You've got questions: about space, time, gravity, and the odds of meeting your older self inside a wormhole. All the answers you need are right here.As a species, we may not agree on much, but one thing brings us all together: a need to know. We all wonder, and deep down we all have the same big questions. Why can't I travel back in time? Where did the universe come from? What's inside a black hole? Can I rearrange the particles in my cat and turn it into a dog?Researcher-turned-cartoonist Jorge Cham and physics professor Daniel Whiteson are experts at explaining science in ways we can all understand, in their books and on their popular podcast, Daniel and Jorge Explain the Universe. With their signature blend of humor and oh-now-I-get-it clarity, Jorge and Daniel offer short, accessible, and lighthearted answers to some of the most common, most outrageous, and most profound questions about the universe they've received.This witty, entertaining, and fully illustrated book is an essential troubleshooting guide for the perplexing aspects of reality, big and small, from the invisible particles that make up your body to the identical version of you currently reading this exact sentence in the corner of some other galaxy. If the universe came with an FAQ, this would be it.

    New to this third edition are expanded coverage of such important topics as surface boundary interfaces, improved discussions of such physical and mathematical laws as the Law of Biot and Savart and the Euler Momentum Integral. A very important new section on Computational Fluid Dynamics has been added for the very first time to this edition. Expanded and improved end-of-chapter problems will facilitate the teaching experience for students and instrutors alike. This book remains one of the most comprehensive and useful texts on fluid mechanics available today, with applications going from engineering to geophysics, and beyond to biology and general science. * Ample, useful end-of-chapter problems.* Excellent Coverage of Computational Fluid Dynamics.* Coverage of Turbulent Flows.* Solutions Manual available.

    Here he explains how our image of the world has changed throughout centuries. Fom Aristotle to Albert Einstein, Michael Faraday to the Higgs boson, he takes us on a wondrous journey to show us that beyond our ever-changing idea of reality is a whole new world that has yet to be discovered.