Descartes's Secret Notebook: A True Tale of Mathematics, Mysticism, and the Quest to Understand the Universe

By Amir D. Aczel

René Descartes (1596–1650) is likely one of the towering and primary figures in Western philosophy and arithmetic. His apothegm “Cogito, ergo sum” marked the start of the mind-body challenge, whereas his production of so-called Cartesian coordinates have made our actual and highbrow conquest of actual area possible.

But Descartes had a mysterious and mystical aspect, besides. very likely a member of the occult brotherhood of the Rosicrucians, he saved a mystery computing device, now misplaced, so much of which was once written in code. After Descartes’s demise, Gottfried Leibniz, inventor of calculus and one of many maximum mathematicians in heritage, moved to Paris looking for this notebook—and finally stumbled on it within the ownership of Claude Clerselier, a pal of Descartes. Leibniz known as on Clerselier and was once allowed to repeat just a couple of pages—which, although written in code, he amazingly deciphered there instantaneous. Leibniz’s swiftly scribbled notes are all we've got this present day of Descartes’s computing device, which has disappeared.

Why did Descartes continue a mystery computer, and what have been its contents? The solutions to those questions lead Amir Aczel and the reader on an exhilarating, swashbuckling trip, and supply a desirable examine one of many nice figures of Western tradition.

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Discrete Mathematics with Applications

By Thomas Koshy

This approachable textual content stories discrete gadgets and the relationsips that bind them. It is helping scholars comprehend and follow the ability of discrete math to electronic desktops and different sleek functions. It offers first-class guidance for classes in linear algebra, quantity thought, and modern/abstract algebra and for machine technological know-how classes in info buildings, algorithms, programming languages, compilers, databases, and computation.

* Covers all urged themes in a self-contained, accomplished, and comprehensible layout for college kids and new execs
* Emphasizes problem-solving ideas, development acceptance, conjecturing, induction, functions of various nature, evidence recommendations, set of rules improvement and correctness, and numeric computations
* Weaves a number of functions into the text
* is helping scholars examine by means of doing with a wealth of examples and exercises:
- 560 examples labored out in detail
- greater than 3,700 exercises
- greater than one hundred fifty machine assignments
- greater than six hundred writing projects
* comprises bankruptcy summaries of vital vocabulary, formulation, and houses, plus the bankruptcy assessment exercises
* positive factors fascinating anecdotes and biographies of 60 mathematicians and computing device scientists
* Instructor's handbook to be had for adopters
* pupil ideas handbook to be had individually for buy (ISBN: 0124211828)

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Good Math: A Geek's Guide to the Beauty of Numbers, Logic, and Computation (Pragmatic Programmers)

By Mark C. Chu-Carroll

Mathematics is beautiful--and it may be enjoyable and interesting in addition to functional. Good Math is your advisor to a couple of the main fascinating issues from thousand years of arithmetic: from Egyptian fractions to Turing machines; from the true that means of numbers to facts timber, crew symmetry, and mechanical computation. If you have ever questioned what lay past the proofs you struggled to accomplish in highschool geometry, or what limits the services of machine in your table, this can be the e-book for you.

Why do Roman numerals persist? How will we be aware of that a few infinities are greater than others? and the way will we understand for yes a software will ever end? during this fast paced journey of recent and not-so-modern math, machine scientist Mark Chu-Carroll explores the various maximum breakthroughs and disappointments of greater than thousand years of mathematical idea. there's pleasure and wonder in arithmetic, and in additional than dozen essays drawn from his well known "Good Math" web publication, you can find innovations, proofs, and examples which are usually impressive, counterintuitive, or simply undeniable weird.

Mark starts his trip with the fundamentals of numbers, with an enjoyable journey throughout the integers and the usual, rational, irrational, and transcendental numbers. The voyage maintains with a glance at a number of the oddest numbers in arithmetic, together with 0, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and carrying on with fractions. After a deep dive into glossy common sense, together with an creation to linear good judgment and the logic-savvy Prolog language, the journey concludes with a journey of recent set conception and the advances and paradoxes of recent mechanical computing.

If your highschool or collage math classes left you greedy for the internal that means in the back of the numbers, Mark's booklet will either entertain and enlighten you.

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Rings, Fields and Groups: An Introduction to Abstract Algebra

'Rings, Fields and teams' offers a stimulating and weird creation to the consequences, tools and concepts now often studied on summary algebra classes at undergraduate point. the writer offers a mix of casual and formal fabric which support to stimulate the keenness of the scholar, while nonetheless delivering the basic theoretical techniques precious for severe study.

keeping the hugely readable form of its predecessor, this moment variation has additionally been completely revised to incorporate a brand new bankruptcy on Galois conception plus tricks and recommendations to a few of the 800 routines featured.

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War Stories From Applied Math

By Robert Fraga

All mathematicians be aware of that math can be utilized for a very good many stuff. Educators, who've to put on a generalist's hat as a rule, infrequently get the chance to illustrate that truth. As a gaggle, they're principally overworked, pressured to accommodate their sessions, mountains of forms and but by some means locate time to maintain of their box. With all of this taking place, it's difficult to discover possibilities for college kids to interact with and be occupied with fixing a few of their difficulties. even though, regardless of all of those hindrances, a few lecturers were capable of advance such collaborations, and this ebook is a set of stories on their success.
I used to be very inspired through what the folk have been capable of do in those initiatives. the main attention-grabbing ones have been initiatives the place the commercial accomplice reaped large financial merits. i used to be surprised to learn that during one undertaking the paintings of 1 pupil stored the sponsoring corporation $17,000,000 (this isn't a typo). As I learn via this booklet, i started getting principles for constructing relationships among my university and native companies. We presently have a few relationships within the sector of computing yet not anything within the quarter of mathematics.
These papers describe precise good fortune tales within the zone of utilized arithmetic and that good fortune is multi-faceted. in fact, the corporations achieve monetary virtue, I usually puzzled in the event that they had the decency to at the least give a contribution a reimbursement to the varsity of foundation. the scholars and college achieve priceless event and bragging rights within the mathematical global that's massive albeit immeasurable. this can be one of the main fascinating math books that i've got learn lately.

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Geometry of the Fundamental Interactions: On Riemann's Legacy to High Energy Physics and Cosmology

By M. D. Maia

The Yang-Mills conception of gauge interactions is a primary instance of interdisciplinary arithmetic and complex physics. Its old improvement is an interesting window into the continuing fight of mankind to appreciate nature. the invention of gauge fields and their homes is the main bold landmark of contemporary physics. The expression of the gauge box power because the curvature linked to a given connection, locations quantum box conception within the comparable geometrical footing because the gravitational box of common relativity that's certainly written in geometrical phrases. the knowledge of such geometrical estate might help someday to jot down a unified box idea ranging from symmetry ideas.

Of path, there are striking alterations among the normal gauge fields and the gravitational box, which needs to be understood via mathematicians and physicists sooner than trying such unification. specifically, it is very important comprehend why gravitation isn't a typical gauge field.

This booklet provides an account of the geometrical homes of gauge box concept, whereas attempting to maintain the equilibrium among arithmetic and physics. on the finish we are going to introduce an analogous method of the gravitational field.

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The Kolmogorov-Obukhov Theory of Turbulence: A Mathematical Theory of Turbulence (SpringerBriefs in Mathematics)

​​​​​​​Turbulence is a huge challenge dealing with glossy societies. It makes airline passengers go back to their seats and attach their seatbelts however it additionally creates drag at the plane that reasons it to take advantage of extra gasoline and create extra toxins. an identical applies to automobiles, ships and the distance travel. The mathematical thought of turbulence has been an unsolved difficulties for 500 years and the improvement of the statistical concept of the Navier-Stokes equations describes turbulent movement has been an open challenge. The Kolmogorov-Obukhov conception of Turbulence develops a statistical concept of turbulence from the stochastic Navier-Stokes equation and the actual thought, that used to be proposed through Kolmogorov and Obukhov in 1941. The statistical conception of turbulence indicates that the noise in constructed turbulence is a normal shape which are used to provide a mathematical version for the stochastic Navier-Stokes equation. The statistical thought of the stochastic Navier-Stokes equation is built in a pedagogical demeanour and proven to indicate the Kolmogorov-Obukhov statistical concept. This e-book seems at a brand new mathematical concept in turbulence that can result in many new advancements in vorticity and Lagrangian turbulence. yet much more importantly it could produce a scientific method of enhancing direct Navier-Stokes simulations and result in a tremendous bounce within the know-how either fighting and using turbulence.

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Defending the Axioms: On the Philosophical Foundations of Set Theory

By Penelope Maddy

Arithmetic will depend on proofs, and proofs needs to commence someplace, from a few primary assumptions. for almost a century, the axioms of set thought have performed this position, so the query of ways those axioms are correctly judged takes on a relevant significance. coming near near the query from a generally naturalistic or second-philosophical viewpoint, Defending the Axioms isolates definitely the right equipment for such reviews and investigates the ontological and epistemological backdrop that makes them acceptable. in any case, a brand new account of the objectivity of arithmetic emerges, one refreshingly freed from metaphysical commitments.

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Poker Math That Matters: Simplifying the Secrets of No-Limit Hold'em

By Owen Gaines

Studying the mathematics in the back of reliable poker hasn't ever been more straightforward. Owen's tools and shortcuts could have you using math on the poker desk in a single day. This ebook is going over the mathematics all in favour of learning judgements in no-limit hold'em money video games. There are over a hundred quiz questions and solutions that will help you gauge your comprehend and perform polishing your talents. Excerpt from Poker Math That concerns: "Understanding the math of poker has made a dramatic distinction in my poker video game. This publication is an try to support those that shouldn't have a robust inclination to math or video game thought yet would love to enhance their poker abilities. I designed this fabric in an try to now not go away any reader at the back of. i began with the main simple innovations and labored up from there. whilst accomplished with this booklet, it is possible for you to to imagine truly approximately no-limit hold'em and examine even the most advanced judgements within the video game. this may make you a strength on the tables, and your pockets will thanks. along with, as a chum of mine loves to say, profitable is simply far more fun!"

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Theory of Games and Economic Behavior (Princeton Classic Editions)

This is the vintage paintings upon which modern day online game thought relies. What all started greater than sixty years in the past as a modest inspiration mathematician and an economist write a brief paper jointly blossomed, in 1944, whilst Princeton college Press released Theory of video games and monetary Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical conception of financial and social association, according to a conception of video games of technique. not just may this revolutionize economics, however the totally new box of clinical inquiry it yielded--game theory--has considering that been standard to research a number of real-world phenomena from palms races to optimum coverage offerings of presidential applicants, from vaccination coverage to significant league baseball wage negotiations. And it truly is this present day demonstrated all through either the social sciences and a variety of different sciences.

This 60th anniversary variation comprises not just the unique textual content but in addition an advent through Harold Kuhn, an afterword via Ariel Rubinstein, and stories and articles at the booklet that seemed on the time of its unique e-book within the New York Times, tthe American monetary Review, and various different guides. jointly, those writings supply readers a matchless chance to extra absolutely relish a piece whose impact will but resound for generations to come.

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