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Counterexamples in Probability and Real Analysis

By Gary L. Wise, Eric B. Hall

A counterexample is any instance or end result that's the contrary of one's instinct or to regularly held ideals. Counterexamples may have nice academic price in illuminating advanced subject matters which are tough to give an explanation for in a rigidly logical, written presentation. for instance, rules in mathematical sciences that will look intuitively seen can be proved unsuitable with using a counterexample. This monograph concentrates on counterexamples to be used on the intersection of chance and genuine research, which makes it distinct between such remedies. The authors argue convincingly that likelihood thought can't be separated from actual research, and this ebook includes over three hundred examples with regards to either the idea and alertness of arithmetic. a number of the examples during this assortment are new, and plenty of outdated ones, formerly buried within the literature, at the moment are available for the 1st time. unlike numerous different collections, all the examples during this publication are thoroughly self-contained--no info are befell to vague outdoors references. scholars and theorists throughout fields as varied as actual research, likelihood, statistics, and engineering will need a reproduction of this book.

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Professor Stewart's Incredible Numbers

By Ian Stewart

At its middle, arithmetic is set numbers, our basic instruments for realizing the realm. In Professor Stewart’s brilliant Numbers, Ian Stewart bargains a pleasant creation to the numbers that encompass us, from the typical (Pi and a couple of) to the unusual yet no much less consequential (1.059463 and 43,252,003,274,489,856,000). alongside the best way, Stewart takes us via leading numbers, cubic equations, the concept that of 0, the prospective positions at the Rubik’s dice, the function of numbers in human heritage, and past! An unfailingly genial advisor, Stewart brings his attribute wit and erudition to undergo on those marvelous numbers, delivering an interesting primer at the rules and gear of math.

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Introduction to Numerical Analysis

By Arnold Neumaier

Numerical research is an more and more vital hyperlink among natural arithmetic and its program in technology and know-how. This textbook presents an creation to the justification and improvement of confident equipment that supply sufficiently actual approximations to the answer of numerical difficulties, and the research of the effect that error in information, finite-precision calculations, and approximation formulation have on effects, challenge formula and the alternative of strategy. It additionally serves as an creation to clinical programming in MATLAB, together with many straightforward and tough, theoretical and computational routines. a distinct function of this e-book is the resultant improvement of period research as a device for rigorous computation and computing device assisted proofs, besides the normal fabric.

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Computational Line Geometry (Mathematics and Visualization)

By Helmut Pottmann, Johannes Wallner

From the reports: " a different and engaging combination, that's proven to be necessary for various purposes, together with robotics, geometrical optics, computing device animation, and geometric layout. The contents of the booklet are visualized through a wealth of rigorously selected illustrations, making the e-book a shear excitement to learn, or perhaps to only browse in." Mathematical Reviews

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Basic College Mathematics

By Ignacio Bello

Basic university Mathematics, 4e might be a evaluate of primary math innovations for a few scholars and should holiday new flooring for others. however, scholars of all backgrounds can be overjoyed to discover a fresh ebook that appeals to all studying kinds and reaches out to diversified demographics. via down-to-earth causes, sufferer skill-building, and enormously fascinating and sensible functions, this worktext will empower scholars to profit and grasp arithmetic within the genuine international. Bello has written a textbook with mathanxious scholars in brain to wrestle the problem of scholar motivation, anything that teachers face with every one classification. The addition of eco-friendly Math examples and functions expands Bello's succeed in into present, well timed matters.

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Vedic Mathematics Made Easy

-Can you multiply 231072 via 110649 and get the reply in exactly a unmarried line? -Can you discover the dice root of 262144 or 704969 in seconds? All this and al ot extra is feasible with the innovations of Vedic arithmetic defined during this book.the strategies are worthy for students,professionals and businessmen.The options of Vedic arithmetic have helped thousands of scholars around the world do away with their worry of numbers and enhance their rankings in quantitative subjects.Primary and secondary institution scholars have discovered the Vedic arithmetic process very exciting.Those giving aggressive tests like MBA,MCA,CET etc.,have asserted that Vedic arithmetic has helped them crack the doorway exams of those tests. A top vendor on amazon.com,this e-book has to this point beeen re-printed Twenty 8 instances ever because it used to be first released within the yr 2005!!

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The USSR Olympiad Problem Book: Selected Problems and Theorems of Elementary Mathematics (Dover Books on Mathematics)

Over three hundred tough difficulties in algebra, mathematics, user-friendly quantity conception and trigonometry, chosen from the information of the Mathematical Olympiads held at Moscow collage. so much presuppose in simple terms highschool arithmetic yet a few are of unusual trouble and should problem any mathematician. whole recommendations to all difficulties. 27 black-and-white illustrations. 1962 edition.

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Numbers: A Very Short Introduction

By Peter M. Higgins

Numbers are quintessential to our daily lives and issue into virtually every thing we do. during this Very brief Introduction, Peter M. Higgins, a well known popular-science author, unravels the realm of numbers, demonstrating its richness and offering an outline of the entire quantity varieties that characteristic in glossy technology and arithmetic. certainly, Higgins paints a crystal-clear photograph of the quantity international, displaying how the trendy quantity process matured over many centuries, and introducing key options akin to integers, fractions, genuine and imaginary numbers, and complicated numbers. Higgins sheds gentle on such attention-grabbing subject matters because the sequence of primes, describing how primes are actually used to encrypt exclusive facts on the net. He additionally explores the limitless nature of quantity collections and explains how the so-called actual numbers knit jointly to shape the continuum of the quantity line. Written within the type of Higgins' hugely renowned technology paperbacks, Numbers adequately explains the character of numbers and the way so-called advanced numbers and quantity structures are utilized in calculations that come up in actual problems.

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Algebra and Trigonometry

By Ron Larson

Excellent for teachers who train a precalculus point direction and need to incorporate a accomplished assessment of algebra at first, this article introduces trigonometry first with a correct triangle strategy after which with the unit circle. because the best-selling textual content within the box, Algebra and Trigonometry offers unprecedented routines, motivating real-life functions, a supportive pedagogical layout, and cutting edge ancillaries and assets, making it a whole answer for either scholars and instructors.Model It real-life functions in approximately each textual content part are multi-part routines that require scholars to generate and learn mathematical versions. First referenced within the Why you have to research It in the beginning of every part, those fascinating functions illustrate why it is very important examine the techniques in each one section.Proofs in arithmetic exhibits the proofs of chosen theorems and demonstrates diverse evidence innovations. for extra comfort, within the 6th variation those proofs were moved from an appendix to the tip of appropriate chapters.P.S. challenge fixing, on the end of every bankruptcy, contains a choice of thought-provoking and difficult workouts that extra discover and extend upon the innovations of the bankruptcy. those workouts have particular features that set them except conventional algebra and trigonometry exercises.A wealth of pupil good fortune instruments comprises how you can research This bankruptcy, a chapter-opening examine consultant that incorporates What you might want to research (section-opening objectives), very important Vocabulary, a listing of analysis instruments, and an inventory of extra assets to aid the coed organize for the bankruptcy; Why you have to learnit, a section-opening, real-life program or a connection with different branches of arithmetic, illustrating the relevance of the section's content material; and What did you learn?, a concise bankruptcy precis prepared by way of part. those ambitions are correlated to the bankruptcy evaluate routines to assist scholars arrange for checks.

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Real and Convex Analysis (Undergraduate Texts in Mathematics)

By Robert J Vanderbei

This publication bargains a primary path in research for scientists and engineers. it may be used on the complicated undergraduate point or as a part of the curriculum in a graduate software. The booklet is equipped round metric areas. within the first 3 chapters, the authors lay the foundational fabric and canopy the all-important “four-C’s”: convergence, completeness, compactness, and continuity. In next chapters, the elemental instruments of research are used to provide short introductions to differential and critical equations, convex research, and degree concept. The therapy is glossy and aesthetically interesting. It lays the basis for the wishes of classical fields in addition to the real new fields of optimization and chance thought.

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