Category: Mathematics

  • Download E-books Mathematics for the Liberal Arts PDF

    By Donald Bindner, Martin J. Erickson, Joe Hemmeter

    Presents a transparent bridge among arithmetic and the liberal arts

    Mathematics for the Liberal Arts provides a understandable and certain advent to fashionable arithmetic intertwined with the heritage of mathematical discoveries. The ebook discusses mathematical rules within the context of the unfolding tale of human inspiration and highlights the appliance of arithmetic in daily life.

    Divided into components, Mathematics for the Liberal Arts first strains the historical past of arithmetic from the traditional international to the center a while, then strikes directly to the Renaissance and finishes with the advance of recent arithmetic. within the moment half, the publication explores significant issues of calculus and quantity concept, together with problem-solving innovations and real-world functions. This ebook emphasizes studying via doing, provides a pragmatic method, and features:

    • A particular clarification of why mathematical ideas are precise and the way the mathematical procedures work
    • Numerous figures and diagrams in addition to enormous quantities of labored examples and workouts, supporting readers to extra visualize the provided concepts
    • Various real-world functional functions of arithmetic, together with error-correcting codes and the gap trip program
    • Vignette biographies of well known mathematicians
    • Appendices with suggestions to chose routines and recommendations for additional reading

    Mathematics for the Liberal Arts is a very good creation to the historical past and ideas of arithmetic for undergraduate liberal arts scholars and readers in non-scientific fields wishing to achieve a greater figuring out of arithmetic and mathematical problem-solving skills.

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  • Download E-books Quantum Computing since Democritus PDF

    By Scott Aaronson

    Written through famous quantum computing theorist Scott Aaronson, this publication takes readers on a travel via a few of the inner most principles of maths, computing device technology and physics. choked with insights, arguments and philosophical views, the booklet covers an awesome array of subject matters. starting in antiquity with Democritus, it progresses via common sense and set concept, computability and complexity thought, quantum computing, cryptography, the knowledge content material of quantum states and the translation of quantum mechanics. There also are prolonged discussions approximately time commute, Newcomb's Paradox, the anthropic precept and the perspectives of Roger Penrose. Aaronson's casual sort makes this attention-grabbing booklet obtainable to readers with medical backgrounds, in addition to scholars and researchers operating in physics, desktop technological know-how, arithmetic and philosophy.
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  • Download E-books Functional Analysis, Sobolev Spaces and Partial Differential Equations (Universitext) PDF

    This textbook is a very revised, up-to-date, and improved English version of the real Analyse fonctionnelle (1983). furthermore, it incorporates a wealth of difficulties and routines (with strategies) to lead the reader. Uniquely, this booklet offers in a coherent, concise and unified manner the most effects from useful research together with the most effects from the speculation of partial differential equations (PDEs). even supposing there are various books on useful research and lots of on PDEs, this can be the 1st to hide either one of those heavily attached issues. because the French booklet used to be first released, it's been translated into Spanish, Italian, eastern, Korean, Romanian, Greek and chinese language. The English variation makes a welcome boost to this list.

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  • Download E-books Counterexamples in Analysis (Dover Books on Mathematics) PDF

    By Bernard R. Gelbaum

    These counterexamples, prepared based on hassle or sophistication, deal regularly with the a part of research often called "real variables," beginning on the point of calculus. the 1st 1/2 the booklet issues features of a true variable; themes contain the genuine quantity method, capabilities and boundaries, differentiation, Riemann integration, sequences, countless sequence, uniform convergence, and units and degree at the genuine axis. the second one part, encompassing larger dimensions, examines capabilities of 2 variables, airplane units, region, metric and topological areas, and serve as areas. This quantity includes a lot that may end up compatible for college students who've now not but accomplished a primary path in calculus, and abundant fabric of curiosity to extra complicated scholars of study in addition to graduate scholars. 12 figures. Bibliography. Index. Errata.
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  • Download E-books Introduction to R for Quantitative Finance PDF

    By Gergely Daróczi, Edina Berlinger, Péter Csóka, Daniel Havran, Márton Michaletzky

    R is a statistical computing language that is excellent for answering quantitative finance questions. This ebook offers either thought and perform, all in transparent language with stacks of real-world examples. perfect for R novices or professional alike.

    Overview

    • Use time sequence research to version and forecast condo prices
    • Estimate the time period constitution of rates of interest utilizing costs of presidency bonds
    • Detect systemically very important monetary associations by way of using monetary community analysis

    In Detail

    Introduction to R for Quantitative Finance will allow you to remedy real-world quantitative finance difficulties utilizing the statistical computing language R. The booklet covers assorted issues starting from time sequence research to monetary networks. every one bankruptcy in brief provides the idea in the back of particular strategies and offers with fixing a various diversity of difficulties utilizing R with assistance from sensible examples.

    This booklet should be your consultant on easy methods to use and grasp R that allows you to resolve real-world quantitative finance difficulties. This ebook covers the necessities of quantitative finance, taking you thru a couple of transparent and useful examples in R that won't merely assist you to appreciate the idea, yet the way to successfully care for your individual real-life problems.

    Starting with time sequence research, additionally, you will how you can optimize portfolios and the way asset pricing types paintings. The ebook then covers mounted source of revenue securities and derivatives like credits chance administration. The final chapters of this publication also will give you an outline of interesting subject matters like severe values and community research in quantitative finance.

    What you'll examine from this book

    • How to version and forecast residence costs and increase hedge ratios utilizing cointegration and version volatility
    • How to appreciate the idea at the back of portfolio choice and the way it may be utilized to real-world data
    • How to make use of the Capital Asset Pricing version and the Arbitrage Pricing Theory
    • How to appreciate the fundamentals of fastened source of revenue instruments
    • You will realize how you can use discrete- and continuous-time versions for pricing spinoff securities
    • How to effectively paintings with credits default versions and the way to version correlated defaults utilizing copulas
    • How to appreciate the makes use of of the intense price thought in assurance and fi nance, version becoming, and possibility degree calculation

    Approach

    This e-book is an academic consultant for brand spanking new clients that goals that can assist you comprehend the fundamentals of and develop into complete with using R for quantitative finance.

    Who this e-book is written for

    If you're looking to exploit R to resolve difficulties in quantitative finance, then this booklet is for you. A easy wisdom of economic idea is thought, yet familiarity with R isn't really required. With a spotlight on utilizing R to resolve quite a lot of concerns, this booklet offers worthwhile content material for either the R newbie and extra adventure users.

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  • Download E-books Elements of Advanced Mathematical Analysis for Physics and Engineering PDF

    By Alberto Ferrero, Maurizio Zanotti

    Deep comprehension of technologies calls for an exceptional wisdom of Mathematical research. for many of excessive point medical study, the great figuring out of sensible research and susceptible options to differential equations is key. This e-book goals to accommodate the most issues which are essential to in achieving one of these wisdom. nonetheless, this is often the aim of many different texts in complex research; after which, what will be a very good cause to learn or to refer to this ebook? so that it will resolution this question, allow us to introduce the 3 Authors. Alberto Ferrero obtained his measure in arithmetic in 2000 and shortly he's researcher in Mathematical research on the Universit`a del Piemonte Orientale. Filippo Gazzola acquired his measure in arithmetic in 1987 and he's now complete professor in Mathematical research on the Politecnico di Milano. Maurizio Zanotti bought his measure in Mechanical Engineering in 2004 and shortly he's structural and computer clothier and lecturer professor in Mathematical research on the Politecnico di Milano. the 3 Authors, for the range in their abilities, determined to affix their expertises to write down this booklet. one of many purposes that are meant to inspire its examining is that the presentation seems to be an inexpensive compromise one of the crucial mathematical rigor, the significance of the purposes and the clearness, that is essential to make the reference paintings friendly to the readers, even to the green ones. the variety of taken care of subject matters is sort of vast and covers the most uncomplicated notions of the clinical examine that is established upon mathematical types. we begin from vector areas and Lebesgue essential to arrive the frontier of theoretical examine comparable to the learn of serious exponents for semilinear elliptic equations and up to date difficulties in fluid dynamics. This lengthy direction passes throughout the concept of Banach and Hilbert areas, Sobolev areas, differential equations, Fourier and Laplace transforms, sooner than which we bear in mind a few applicable instruments of advanced research. We supply the entire proofs that experience a few didactic or applicative curiosity, whereas we overlook those that are too technical or require too excessive point wisdom. This publication has the formidable goal to be necessary to a huge number of readers. the 1st attainable beneficiaries are after all the second one or 3rd yr scholars of a systematic process measure: in what follows they are going to locate the themes which are essential to procedure extra complex stories in arithmetic and in different fields, particularly Physics and Engineering. this article may be additionally precious to graduate scholars who are looking to begin a Ph.D. path: certainly it comprises the problem of a multidisciplinary Ph.D. direction given through Filippo Gazzola for numerous years at Politecnico di Milano. ultimately, this e-book should be addressed additionally to those who've already left schooling far-back yet sometimes have to use mathematical instruments: we refer either to school professors and their learn, and to pros and architects who are looking to version a definite phenomenon, but in addition to the nostalgics of the nice previous days once they have been scholars. ALBERTO FERRERO bought his measure in arithmetic in 2000 and almost immediately he's researcher in Mathematical research on the Università del Piemonte Orientale. FILIPPO GAZZOLA obtained his measure in arithmetic in 1987 and he's now complete professor in Mathematical research on the Politecnico di Milano. ​MAURIZIO ZANOTTI acquired his measure in Mechanical Engineering in 2004 and almost immediately he's structural and laptop fashion designer and lecturer professor in Mathematical research on the Politecnico di Milano.
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  • Download E-books Algebra Know-It-ALL: Beginner to Advanced, and Everything in Between PDF

    By Stan Gibilisco

    Master algebra from the relief of home!

    Want to “know all of it” in terms of algebra? Algebra Know-It-ALL gives you the professional, one-on-one guideline you wish, even if you are new to algebra or you are looking to ramp up your abilities. supplying easy-to-understand innovations and punctiliously defined workouts, math whiz Stan Gibilisco serves as your personal inner most tutor-without the fee! His transparent, pleasant advice is helping you take on the suggestions and difficulties that confuse you the main and paintings via them at your individual velocity.

    Train your mind comfortably! Algebra Know-It-ALL features:

    • Icons that will help you establish your present ability point
    • Chapter-end quizzes and observe problem/solution pairs to enhance studying
    • Worked-out solutions to all perform workouts
    • Extensive multiple-choice inquiries to arrange you for standardized assessments
    • “Extra credits” and “Challenge” difficulties to stretch your skills

    Stan's specialist counsel can provide the knowledge to:

    • Solve mathematics difficulties and not using a calculator
    • Convert fractions to decimal shape and vice-versa
    • Manipulate basic equations and inequalities
    • Learn how coordinate platforms paintings
    • Make basic graphs
    • Solve quadratic and cubic equations
    • Understand complex-number suggestions to equations
    • Use logarithms and exponential features
    • Take university front examinations with self belief li>And a lot more!

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  • Download E-books A Primer on Scientific Programming with Python (Texts in Computational Science and Engineering) PDF

    The publication serves as a primary advent to computing device programming of clinical purposes, utilizing the high-level Python language. The exposition is instance and problem-oriented, the place the functions are taken from arithmetic, numerical calculus, records, physics, biology and finance. The e-book teaches "Matlab-style" and procedural programming in addition to object-oriented programming. highschool arithmetic is a required history and it truly is beneficial to review classical and numerical one-variable calculus in parallel with interpreting this ebook. along with studying the way to software desktops, the reader also will how one can remedy mathematical difficulties, bobbing up in a variety of branches of technological know-how and engineering, by using numerical tools and programming. through mixing programming, arithmetic and medical purposes, the e-book lays an outstanding starting place for working towards computational science.

    From the reviews: Langtangen … does an exceptional task of introducing programming as a collection of talents in challenge fixing. He publications the reader into pondering correctly approximately generating software good judgment and information constructions for modeling real-world difficulties utilizing items and features and embracing the object-oriented paradigm. … Summing Up: hugely recommended. 

    F. H. Wild III, selection, Vol. forty seven (8), April 2010

    Those people who've discovered clinical programming in Python ‘on the streets’ can be a little jealous of scholars who've the chance to take a direction out of Langtangen’s Primer.” 
    John D. prepare dinner, The Mathematical organization of the United States, September 2011

    This ebook is going via Python particularly, and programming as a rule, through initiatives that scientists will most likely practice. It includes worthwhile information for scholars new to medical computing and will be the ideal bridge among an creation to programming and a complicated direction on numerical equipment or computational science.
    Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012  

    “This fourth version is an excellent, inclusive textbook that covers pretty well every thing one must understand to move from 0 to particularly refined medical programming in Python…”
    Joan Horvath, Computing studies, March 2015 

     

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  • Download E-books Vector Calculus (3rd Edition) PDF

    this article makes use of the language and notation of vectors and matrices to explain matters in multivariable calculus. obtainable to someone with a superb history in single-variable calculus, it offers extra linear algebra than frequently present in a multivariable calculus booklet. Colley balances this with very transparent and expansive exposition, many figures, and various, wide-ranging workouts. teachers will savor Colley’s writing kind, mathematical precision, point of rigor, and entire number of themes treated.

     

    Vectors: Vectors in and 3 Dimensions. extra approximately Vectors. The Dot Product. The go Product. Equations for Planes; Distance difficulties. a few n-Dimensional Geometry. New Coordinate platforms. Differentiation in different Variables: Functions of numerous Variables; Graphing Surfaces. Limits. The by-product. houses; Higher-Order Partial Derivatives; Newton’s technique. The Chain Rule. Directional Derivatives and the Gradient. Vector-Valued capabilities: Parametrized Curves and Kepler's legislation. Arclength and Differential Geometry. Vector Fields: An creation. Gradient, Divergence, Curl, and the Del Operator. Maxima and Minima in numerous Variables: Differentials and Taylor's Theorem. Extrema of capabilities. Lagrange Multipliers. a few functions of Extrema. a number of Integration: Introduction: components and Volumes. Double Integrals. altering the Order of Integration. Triple Integrals. switch of Variables. functions of Integration. Line Integrals: Scalar and Vector Line Integrals. Green's Theorem. Conservative Vector Fields. floor Integrals and Vector research: Parametrized Surfaces. floor Integrals. Stokes's and Gauss's Theorems. additional Vector research; Maxwell's Equations. Vector research in greater Dimensions: An advent to Differential types. Manifolds and Integrals of k-forms. The Generalized Stokes's Theorem.

     

    For all readers drawn to multivariable calculus.
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