Category: Mathematics

  • How to Calculate Quickly: Full Course in Speed Arithmetic (Dover Books on Mathematics)

    Do you must double or triple the rate with that you calculate? How to Calculate speedy is a attempted and real approach for supporting you within the arithmetic of lifestyle — addition, subtraction, multiplication, department, and fractions.
    The writer can wake up for you a college that is strangely dormant in accountants, engineers, scientists, businesspeople, and others who paintings with figures. this can be "number feel" — or the facility to acknowledge kinfolk among numbers regarded as complete amounts. loss of this quantity experience makes it completely attainable for a scientist to be knowledgeable in larger arithmetic, yet to impede within the mathematics of daily life.
    This e-book teaches the mandatory mathematical recommendations that faculties forget to educate: Horizontal addition, left to correct multiplication and department, and so forth. you'll examine a mode of multiplication so swift that you can do items in no longer even more time than it's going to take to jot down the matter down on paper.
    This isn't a suite of methods that paintings in just a really few particular situations, yet a major, capably deliberate process uncomplicated arithmetic for self-instruction. It comprises over 9,000 brief difficulties and their suggestions that you should paintings in the course of spare moments. 5 or ten mins spent day-by-day in this publication will, inside ten weeks, offer you a bunch experience that might double or triple your calculation speed.

    Show description

  • Lie Groups (2nd Edition) (Graduate Texts in Mathematics, Volume 225)

    By Daniel Bump

    This ebook is meant for a one-year graduate direction on Lie teams and Lie algebras. The ebook is going past the illustration conception of compact Lie teams, that is the foundation of many texts, and gives a gently selected diversity of fabric to provide the coed the larger photo. The booklet is geared up to permit various paths during the fabric counting on one's pursuits. This moment variation has sizeable new fabric, together with more suitable discussions of underlying rules, streamlining of a few proofs, and plenty of effects and themes that weren't within the first edition.

    For compact Lie teams, the e-book covers the Peter–Weyl theorem, Lie algebra, conjugacy of maximal tori, the Weyl crew, roots and weights, Weyl personality formulation, the basic staff and extra. The e-book keeps with the learn of complicated analytic teams and basic noncompact Lie teams, overlaying the Bruhat decomposition, Coxeter teams, flag kinds, symmetric areas, Satake diagrams, embeddings of Lie teams and spin. different subject matters which are handled are symmetric functionality thought, the illustration conception of the symmetric workforce, Frobenius–Schur duality and GL(n) × GL(m) duality with many functions together with a few in random matrix concept, branching ideas, Toeplitz determinants, combinatorics of tableaux, Gelfand pairs, Hecke algebras, the "philosophy of cusp forms" and the cohomology of Grassmannians. An appendix introduces the reader to using Sage mathematical software program for Lie workforce computations.
    Show description

  • Calculus For Dummies

    Calculus For Dummies, 2d variation (9781119293491) was once formerly released as Calculus For Dummies, 2d variation (9781118791295). whereas this model includes a new Dummies conceal and layout, the content material is equal to the previous liberate and shouldn't be thought of a brand new or up to date product.


    Slay the calculus monster with this basic guide

    Calculus For Dummies, 2d variation makes calculus manageable—even in case you are one of many many scholars who sweat on the considered it. by means of breaking down differentiation and integration into digestible recommendations, this advisor is helping you construct a higher beginning with an excellent knowing of the massive principles at paintings. This hassle-free math booklet leads you step by step via every one thought, operation, and resolution, explaining the "how" and "why" in simple English rather than math-speak. via correct guide and functional examples, you will soon study that real-life calculus isn't really approximately the monster it really is made out to be.

    Calculus is a required path for lots of university majors, and for college students with no powerful math starting place, it may be a true barrier to commencement. Breaking that barrier down ability spotting calculus for what it is—simply a device for learning the ways that variables have interaction. it is the logical extension of the algebra, geometry, and trigonometry you've got already taken, and Calculus For Dummies, second variation proves that when you can grasp these sessions, you could take on calculus and win.

    • Includes foundations in algebra, trigonometry, and pre-calculus concepts
    • Explores sequences, sequence, and graphing universal functions
    • Instructs you the way to approximate region with integration
    • Features issues to recollect, issues to fail to remember, and belongings you cannot break out with

    Stop fearing calculus, and learn how to include the problem. With this finished examine advisor, you will achieve the abilities and self belief that make all of the distinction. Calculus For Dummies, second variation presents a roadmap for fulfillment, and the backup you must get there.

    Show description

  • Elementary Probability for Applications

    This transparent and energetic advent to likelihood concept concentrates at the effects which are the main invaluable for purposes, together with combinatorial chance and Markov chains. Concise and concentrated, it really is designed for a one-semester introductory path in chance for college students who've a few familiarity with uncomplicated calculus. Reflecting the author's philosophy that the way to research chance is to work out it in motion, there are greater than 350 difficulties and 2 hundred examples. The examples include all of the previous criteria similar to the birthday challenge and Monty corridor, but additionally comprise a few purposes no longer present in different books, from components as extensive ranging as genetics, activities, finance, and stock administration.
    Show description

  • 50 Years of Integer Programming 1958-2008: From the Early Years to the State-of-the-Art

    In 1958, Ralph E. Gomory reworked the sector of integer programming while he released a paper that defined a cutting-plane set of rules for natural integer courses and introduced that the strategy should be subtle to provide a finite set of rules for integer programming. In 2008, to commemorate the anniversary of this seminal paper, a distinct workshop celebrating fifty years of integer programming used to be held in Aussois, France, as a part of the twelfth Combinatorial Optimization Workshop.

    It includes reprints of key historic articles and written models of survey lectures on six of the most well liked issues within the box by way of uncommon individuals of the integer programming neighborhood. valuable for someone in arithmetic, computing device technology and operations examine, this booklet exposes mathematical optimization, particularly integer programming and combinatorial optimization, to a large audience.

    Show description

  • An Invitation to Abstract Mathematics (Undergraduate Texts in Mathematics)

    This undergraduate textbook is meant essentially for a transition direction into better arithmetic, even though it is written with a broader viewers in mind.  the center and soul of this ebook is challenge fixing, the place each one challenge is punctiliously selected to elucidate an idea, reveal a method, or to enthuse.  The routines require really vast arguments, inventive ways, or either, therefore delivering motivation for the reader.  With a unified method of a various selection of issues, this article issues out connections, similarities, and alterations between topics at any time when possible.  This ebook exhibits scholars that arithmetic is a colourful and dynamic human firm by way of together with old views and notes at the giants of arithmetic, via declaring present task within the mathematical neighborhood, and by way of discussing many well-known and no more recognized questions that stay open for destiny mathematicians.

    Ideally, this article will be used for a semester direction, the place the 1st direction has no necessities and the second one is a tougher direction for math majors; but, the versatile constitution of the publication permits it for use in various settings, together with as a resource of varied independent-study and study projects.

    Show description

  • GIS Fundamentals, Second Edition

    By Stephen Wise

    With GIS know-how more and more on hand to a much broader viewers on units from apps on smartphones to satnavs in vehicles, many folks often use spatial info in a manner which was the look after of GIS experts. in spite of the fact that spatial information is saved and analyzed on a working laptop or computer nonetheless has a tendency to be defined in educational texts and articles which require expert wisdom or a few education in machine technology. constructed to introduce laptop technological know-how literature to geography scholars, GIS basics, moment Edition offers an available exam of the underlying rules for a person with out formal education in desktop science.

    See What’s New within the moment Edition:

    • Coverage of using spatial information at the Internet
    • Chapters on databases and on looking huge databases for spatial queries
    • Improved insurance on route-finding
    • Improved assurance of heuristic ways to fixing real-world spatial difficulties
    • International criteria for spatial data
    • The publication starts off with a short yet certain advent to how pcs paintings and the way they're programmed, giving an individual without prior computing device technology heritage a starting place to appreciate the rest of the ebook. as with any elements of the publication there also are feedback for extra assets of analyzing. The publication then describes the ways that vector and raster information might be saved and the way algorithms are designed to accomplish primary operations corresponding to detecting the place strains intersect. From those easy beginnings the booklet strikes into the extra advanced constructions used for dealing with surfaces and networks and includes a distinctive account of what it takes to figure out the shortest path among areas on a community. the ultimate sections of the booklet overview difficulties, resembling the "Travelling Salesman" challenge, that are so complicated that it isn't recognized no matter if an optimal resolution exists.

      Using transparent, concise language, yet with no sacrificing technical rigour, the e-book provides readers an figuring out of what it takes to provide platforms which permit them to determine the place to make their subsequent buy and the way to force to the precise position to assemble it.

      Show description

    • A First Course in Harmonic Analysis (Universitext)

      By Anton Deitmar

      Affordable softcover moment version of bestselling name (over one thousand copies offered of prior edition)

      A primer in harmonic research at the undergraduate level

      Gives a lean and streamlined advent to the critical techniques of this gorgeous and utile conception.

      Entirely in line with the Riemann imperative and metric areas rather than the extra tough Lebesgue critical and summary topology.

      Almost all proofs are given in complete and all critical techniques are provided essentially.

      Provides an creation to Fourier research, best as much as the Poisson Summation formulation.

      Make the reader conscious of the truth that either imperative incarnations of Fourier concept, the Fourier sequence and the Fourier rework, are unique situations of a extra common idea bobbing up within the context of in the community compact abelian teams.

      Introduces the reader to the ideas utilized in harmonic research of noncommutative teams. those strategies are defined within the context of matrix teams as a central instance.

      Show description

    • Elementary Methods in Number Theory (Graduate Texts in Mathematics, Vol. 195)

      By Melvyn B. Nathanson

      This uncomplicated creation to quantity concept is perfect for people with no earlier wisdom of the topic. the most themes of divisibility, congruences, and the distribution of best numbers are coated. Of specific curiosity is the inclusion of an explanation for essentially the most recognized leads to arithmetic, the major quantity theorem. With many examples and workouts, and basically requiring wisdom of a bit calculus and algebra, this booklet will swimsuit people with mind's eye and curiosity in following a mathematical argument to its end.
      Show description

    • Introduction to Calculus and Analysis, Volume 1

      By Richard Courant, Fritz John

      From the Preface: (...) The e-book is addressed to scholars on a variety of degrees, to mathematicians, scientists, engineers. It doesn't fake to make the topic effortless by way of glossing over problems, yet quite attempts to assist the certainly reader by way of throwing gentle at the interconnections and reasons of the total. rather than obstructing the entry to the wealth of evidence via long discussions of a basic nature we now have occasionally postponed such discussions to appendices within the numerous chapters. quite a few examples and difficulties are given on the finish of assorted chapters. a few are difficult, a few are even tough; so much of them complement the cloth within the textual content. In an extra pamphlet extra difficulties and workouts of a regimen personality may be accumulated, and in addition, solutions or tricks for the strategies can be given. this primary quantity of involved basically with capabilities of a unmarried variable, while the second one quantity will talk about the extra ramified theories of calculus (...).
      Show description