Download E-books A History of Pi PDF

By Petr Beckmann

The heritage of pi, says the writer, although a small a part of the historical past of arithmetic, is however a reflect of the heritage of guy. Petr Beckmann holds up this reflect, giving the history of the days while pi made development -- and in addition whilst it didn't, simply because technology was once being stifled through militarism or non secular fanaticism.

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Download E-books Mathematics for 3D Game Programming and Computer Graphics, Third Edition PDF

By Eric Lengyel

This up-to-date 3rd variation illustrates the mathematical techniques video game developer must advance 3D special effects and online game engines on the expert point. It starts off at a reasonably simple point in components similar to vector geometry and linear algebra, after which progresses to extra complex themes in 3D programming reminiscent of illumination and visibility choice. specific realization is given to derivations of key effects, making sure that the reader isn't really pressured to suffer gaps within the conception. The publication assumes a operating wisdom of trigonometry and calculus, but additionally comprises sections that assessment the $64000 instruments used from those disciplines, equivalent to trigonometric identities, differential equations, and Taylor series.

The 3rd version expands upon issues that come with projections, shadows, physics, fabric simulation, and numerical equipment. the entire illustrations were up-to-date, and the shader code has been up to date to the most recent high-level shading language standards.

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Download E-books Intuitive Topology (Mathematical World, Vol 4) PDF

By V.V. Prasolov

This e-book is an creation to easy topology offered in an intuitive means, emphasizing the visible element. Examples of nontrivial and sometimes unforeseen topological phenomena acquaint the reader with the picturesque international of knots, hyperlinks, vector fields, and two-dimensional surfaces. The ebook starts off with definitions awarded in a tangible and perceptible approach, on a daily point, and steadily makes them extra specified and rigorous, ultimately attaining the extent of relatively subtle proofs. this permits significant difficulties to be tackled from the outset. one other strange trait of this ebook is that it bargains normally with structures and maps, instead of with proofs that convinced maps and buildings do or don't exist. the various illustrations are a necessary characteristic. The booklet is available not just to undergraduates but in addition to school scholars and should curiosity any reader who has a few feeling for the visible attractiveness of geometry and topology.

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Download E-books Lectures on Kähler Geometry (London Mathematical Society Student Texts) PDF

By Andrei Moroianu

Kähler geometry is a gorgeous and interesting zone of arithmetic, of considerable study curiosity to either mathematicians and physicists. This self-contained graduate textual content presents a concise and available creation to the subject. The e-book starts with a overview of easy differential geometry, prior to relocating directly to an outline of complicated manifolds and holomorphic vector bundles. Kähler manifolds are mentioned from the perspective of Riemannian geometry, and Hodge and Dolbeault theories are defined, including an easy facts of the recognized Kähler identities. the ultimate a part of the textual content reviews numerous features of compact Kähler manifolds: the Calabi conjecture, Weitzenböck suggestions, Calabi–Yau manifolds, and divisors. All sections of the e-book finish with a chain of workouts and scholars and researchers operating within the fields of algebraic and differential geometry and theoretical physics will locate that the publication offers them with a legitimate knowing of this conception.

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Download E-books Words: Notes on Verbal Width in Groups (London Mathematical Society Lecture Note Series) PDF

By Dan Segal

After a forty-year lull, the examine of word-values in teams has sprung again into existence with a few incredible new ends up in finite team concept. those are mostly prompted via functions to profinite teams, together with the answer of an outdated challenge of Serre. This publication provides a complete account of the recognized effects, either previous and new. The extra simple equipment are built from scratch, resulting in self-contained proofs and enhancements of a few vintage effects approximately limitless soluble teams. this is often via a close creation to extra complicated subject matters in finite staff conception, and a whole account of the functions to profinite teams. the writer offers proofs of a few very contemporary effects and discusses open questions for additional examine. This self-contained account is offered to investigate scholars, yet will curiosity all examine staff in staff conception.

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Download E-books Elementary Number Theory: Second Edition (Dover Books on Mathematics) PDF

By Underwood Dudley

Ideal for a primary direction in quantity idea, this vigorous, enticing textual content calls for just a familiarity with hassle-free algebra and the houses of genuine numbers. writer Underwood Dudley, who has written a chain of renowned arithmetic books, continues that how to study arithmetic is by way of fixing difficulties. in line with this philosophy, the textual content contains approximately 1,000 workouts and problems—some computational and a few classical, many unique, and a few with entire solutions.
The establishing chapters provide sound motives of the fundamentals of straight forward quantity concept and develop the basic homes of integers and congruences. next chapters current proofs of Fermat's and Wilson's theorems, introduce quantity theoretic capabilities, and discover the quadratic reciprocity theorem. 3 autonomous sections stick with, with examinations of the illustration of numbers, diophantine equations, and primes. The textual content concludes with 260 extra difficulties, 3 invaluable appendixes, and solutions to chose workouts and problems.

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Download E-books The Grapes Of Math: How Life Reflects Numbers and Numbers Reflect Life PDF

By Alex Bellos, The Surreal McCoy

Author note: The Surreal McCoy (Illustrations)
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From the bestselling writer of Here’s taking a look at Euclid, a blinding new ebook that turns even the main complicated math right into a brilliantly enjoyable narrative.

From triangles, rotations and gear legislation, to cones, curves and the scary calculus, Alex takes you on a trip of mathematical discovery together with his signature wit and unlimited enthusiasm. He sifts via over 30,000 survey submissions to discover the world’s favorite quantity, and meets a mathematician who seems to be for universes in his storage. He attends the area Mathematical Congress in India, and visits the engineer who designed the 1st roller-coaster loop.

Get addicted to math as Alex delves deep into humankind’s turbulent courting with numbers, and divulges how they've got formed the realm we are living in.

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Download E-books Advanced Calculus: A Differential Forms Approach PDF

By Harold M. Edwards

​​​Originally released through Houghton Mifflin corporation, Boston, 1969

In a e-book written for mathematicians, academics of arithmetic, and hugely stimulated scholars, Harold Edwards has taken a daring and weird method of the presentation of complex calculus. He starts with a lucid dialogue of differential varieties and speedy strikes to the basic theorems of calculus and Stokes’ theorem. the result's actual arithmetic, either in spirit and content material, and a thrilling selection for an honors or graduate path or certainly for any mathematician wanting a refreshingly casual and versatile reintroduction to the topic. For these kinds of strength readers, the writer has made the technique paintings within the top culture of artistic mathematics.

This reasonable softcover reprint of the 1994 variation provides the varied set of issues from which complex calculus classes are created in attractive unifying generalization. the writer emphasizes using differential kinds in linear algebra, implicit differentiation in greater dimensions utilizing the calculus of differential types, and the tactic of Lagrange multipliers in a normal yet easy-to-use formula. There are copious routines to aid consultant the reader in checking out knowing. The chapters may be learn in nearly any order, together with starting with the ultimate bankruptcy that includes a few of the extra conventional themes of complex calculus classes. furthermore, it's perfect for a path on vector research from the differential kinds element of view.

The expert mathematician will locate the following a pleasant instance of mathematical literature; the coed lucky adequate to have undergone this ebook can have a company seize of the character of recent arithmetic and an outstanding framework to proceed to extra complex reviews.

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Download E-books Algebra I Workbook For Dummies PDF

By Mary Jane Sterling

From signed numbers to tale difficulties — calculate equations with ease

Practice is the most important to bettering your algebra talents, and that is what this workbook is all approximately. This hands-on advisor specializes in aiding you clear up the numerous different types of algebra difficulties you will come across in a targeted, step by step demeanour. With barely enough refresher factors earlier than every one set of difficulties, this workbook indicates you ways to paintings with fractions, exponents, factoring, linear and quadratic equations, inequalities, graphs, and more!

100s of problems!

Hundreds of perform workouts and necessary explanations

Explanations replicate educating equipment and lecture room protocols

Focused, modular content material provided in step by step lessons

  • Practice on hundreds and hundreds of Algebra I problems

  • Review key strategies and formulas

  • Get entire resolution reasons for all problems

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Download E-books Bob Miller's Algebra for the Clueless (Clueless Series) PDF

A is for Algebra-and that is the grade you will pull if you use Bob Miller's basic consultant to the mathematics direction each college-bound child needs to take

With 8 books and greater than 30 years of hard-core lecture room adventure, Bob Miller is the pissed off student's ally. He breaks down the complexities of each challenge into easy-to-understand items that any math-phobe can understand-and this absolutely up-to-date moment version of Bob Miller's Algebra for the Clueless covers every thing a you must be aware of to excel in Algebra I and II.

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