Mathematical Analysis


Tom M. Apostol - 1957
    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

Using Econometrics: A Practical Guide


A.H. Studenmund - 1987
    "Using Econometrics: A Practical Guide "provides readers with a practical introduction that combines single-equation linear regression analysis with real-world examples and exercises. This text also avoids complex matrix algebra and calculus, making it an ideal text for beginners. New problem sets and added support make "Using Econometrics" modern and easier to use.

Q.E.D.: Beauty in Mathematical Proof


Burkard Polster - 2004
    presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

An Introduction to Modern Astrophysics


Bradley W. Carroll - 1995
    Designed for the junior- level astrophysics course, each topic is approached in the context of the major unresolved questions in astrophysics. The core chapters have been designed for a course in stellar structure and evolution, while the extended chapters provide additional coverage of the solar system, galactic structure, dynamics, evolution, and cosmology. * Two versions of this text are available: An Introduction to Modern Stellar Astrophysics, (Chapters 1-17), and An Introduction to Modern Astrophysics, (Chapters 1-28). * Computer programs included with the text allow students to explore the physics of stars and galaxies. * In designing a curriculum, instructors can combine core and extended chapters with the optional advanced sections so as to meet their individual goals. * Up-to-date coverage of current astrophysical discoveries are included. * This text emphasizes computational physics, including computer problems and on-line programs. * This text also includes a selection of over 500 problems. For additional information and computer codes to be used

A Short Account of the History of Mathematics


W.W. Rouse Ball - 1900
    From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.

Algebra - The Very Basics


Metin Bektas - 2014
    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

Summary of the Subtle Art of Not Giving a F*ck: A Counterintuitive Approach to Living a Good Life by Mark Manson


CompanionReads - 2017
    It is not the original book nor is it intended to replace the original book. You may purchase the original book here: http: //bit.ly/mansonsartIn this fast guide you'll be taken by the hand through a summary and analysis ofThe main points made by the authorAn organized chapter by chapter synopsisReferences to noteworthy people mentionedThe author's most valuable tips, websites, books, and toolsMost CompanionReads may be read in 30 minutes.This book is meant for anyone who is interested in enhancing their reading experience. It will give you deeper insight, fresher perspectives, and help you squeeze more enjoyment out of your book. Perfect for a quick refresh on the main ideas or when you want to use it as a topic of conversation at your next meeting.Enjoy this edition instantly on your Kindle deviceEnjoy this edition instantly on your Kindle device!Now available in paperback, digital, and audio editions.Sign up for our newsletter to get notified about our new books atwww.companionreads.com/gift

Obama and the War Against the Jews


Jacob Laksin - 2010
    That exception has been the United States, a country on which it has relied for its survival throughout its 60-year history. Every would-be aggressor has understood that the world’s most powerful nation was behind Israel and would not let her be destroyed, and every vote of condemnation of Israel in the UN would undoubtedly be met by a veto from the United States, until now. The Obama administration has signaled a noticeable shift in U.S. policy towards Israel, from Obama’s apology to the Arab and Muslim world for alleged American misdeeds to Obama’s most recent speech calling for a return to the 1967 lines. Obama and the War Against the Jews examines the origins and repercussions of this dramatic policy change of a nation from the world’s bulmark of democracy and freedom to an enabler of the very forces that are intent on destroying them.

Jackasses of History: Bathroom Reader and Handy Manual of Unpleasant Trivia


Seann McAnally - 2018
    Norman Baker said that about his autobiography. Why? He was a jackass. In the pages of this book meet 20 losers, killers, confidence tricksters, and incompetents - the Jackasses of History. For adult readers.

Introduction to Superstrings and M-Theory


Michio Kaku - 1989
    Called by some, "the theory of everything," superstrings may solve a problem that has eluded physicists for the past 50 years, the final unification of the two great theories of the twentieth century, general relativity and quantum field theory. Now, here is a thoroughly revised, second edition of a course-tested comprehensive introductory graduate text on superstrings which stresses the most current areas of interest, not covered in other presentations, including: - Four-dimensional superstrings - Kac-Moody algebras - Teichm�ller spaces and Calabi-Yau manifolds - M-theory Membranes and D-branes - Duality and BPS relations - Matrix models The book begins with a simple discussion of point particle theory, and uses Feynman path integrals to unify the presentation of superstrings. It has been updated throughout, and three new chapters on M-theory have been added. Prerequisites are an acquaintance with quantum mechanics and relativity.

Calculus On Manifolds: A Modern Approach To Classical Theorems Of Advanced Calculus


Michael Spivak - 1965
    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

A Course of Pure Mathematics


G.H. Hardy - 1908
    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

Algebraic Topology


Allen Hatcher - 2001
    This introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. The four main chapters present the basics: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature is the inclusion of many optional topics not usually part of a first course due to time constraints: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and Steenrod squares and powers.

Calculus


Gilbert Strang - 1991
    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

Imagining the Tenth Dimension: A New Way of Thinking about Time and Space


Rob Bryanton - 2006
    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.