Combinatorial Problems in Mathematical Competitions (Mathematical Olympiad)

By Yao Zhang

This e-book makes a speciality of combinatorial difficulties in mathematical competitions. It presents simple wisdom on find out how to resolve combinatorial difficulties in mathematical competitions, and likewise introduces vital ideas to combinatorial difficulties and a few standard issues of often-used strategies. a few enlightening and novel examples and routines are good selected during this ebook. With this e-book, readers can discover, research and summarize the guidelines and techniques of fixing combinatorial difficulties. Their mathematical tradition and skill could be stronger remarkably after studying this ebook.

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An Introduction to Differential Equations and Their Applications (Dover Books on Mathematics)

By Stanley J. Farlow

Intended to be used in a starting one-semester path in differential equations, this article is designed for college students of natural and utilized arithmetic with a operating wisdom of algebra, trigonometry, and hassle-free calculus. Its mathematical rigor is balanced by way of whole yet basic causes that entice readers' actual and geometric intuition.
Starting with an creation to differential equations, the textual content proceeds to examinations of first- and second-order differential equations, sequence recommendations, the Laplace remodel, platforms of differential equations, distinction equations, nonlinear differential equations and chaos, and partial differential equations. a number of figures, issues of recommendations, and historic notes make clear the text.

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Fourier Analysis (Graduate Studies in Mathematics)

Fourier research includes a number of views and strategies. This quantity provides the true variable equipment of Fourier research brought through Calderón and Zygmund. The textual content used to be born from a graduate direction taught on the Universidad Autónoma de Madrid and contains lecture notes from a direction taught via José Luis Rubio de Francia on the related collage. prompted through the learn of Fourier sequence and integrals, classical subject matters are brought, similar to the Hardy-Littlewood maximal functionality and the Hilbert remodel. the remainder parts of the textual content are dedicated to the examine of singular essential operators and multipliers. either classical features of the idea and newer advancements, comparable to weighted inequalities, $H^1$, $BMO$ areas, and the $T1$ theorem, are mentioned. bankruptcy 1 offers a evaluation of Fourier sequence and integrals; Chapters 2 and three introduce operators which are simple to the sphere: the Hardy-Littlewood maximal functionality and the Hilbert rework. Chapters four and five speak about singular integrals, together with smooth generalizations. bankruptcy 6 experiences the connection among $H^1$, $BMO$, and singular integrals; bankruptcy 7 offers the basic thought of weighted norm inequalities. bankruptcy eight discusses Littlewood-Paley conception, which had advancements that led to a couple of functions. the ultimate bankruptcy concludes with a major consequence, the $T1$ theorem, which has been of an important value within the box. This quantity has been up to date and translated from the Spanish version that was once released in 1995. Minor adjustments were made to the middle of the booklet; besides the fact that, the sections, "Notes and additional effects" were significantly elevated and comprise new subject matters, effects, and references. it truly is aimed at graduate scholars looking a concise advent to the most facets of the classical concept of singular operators and multipliers. necessities contain simple wisdom in Lebesgue integrals and practical research.

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The Magic of Math: Solving for x and Figuring Out Why

By Arthur Benjamin

A New York occasions Bestseller

“Arthur Benjamin . . . joyfully indicates you the way to make nature’s numbers dance.”
—Bill Nye

The Magic of Math is the mathematics ebook you need you had in class. utilizing a pleasant collection of examples—from ice-cream scoops and poker arms to measuring mountains and making magic squares—this publication revels in key mathematical fields together with mathematics, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, in fact, mathematical magic tips. recognized during the global because the “mathemagician,” Arthur Benjamin mixes arithmetic and magic to make the topic enjoyable, appealing, and straightforward to appreciate for math fan and math-phobic alike.

“A absolutely cheerful exploration of mathematics.”
Publishers Weekly, starred review

“Each [trick] is extra spectacular than the last.”
Physics World

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1,001 Math Problems (1001 Series)

The most sensible method to grasp math is to perform, perform, practice—and 1,001 Math Problems deals “mathophobes” and others who simply desire a little math tutoring the perform they should prevail. even if scholars need assistance calculating a tip or dealing with a standardized math attempt that may ensure their destiny, the 1,001 math questions during this helpful handbook presents them with the ability units they should grasp math, algebra, and geometry challenges.

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Symmetry, Representations, and Invariants (Graduate Texts in Mathematics)

By Roe Goodman

Symmetry is a key element in lots of mathematical, actual, and organic theories. utilizing illustration concept and invariant thought to research the symmetries that come up from staff activities, and with powerful emphasis at the geometry and uncomplicated thought of Lie teams and Lie algebras, Symmetry, Representations, and Invariants is an important remodeling of an past highly-acclaimed paintings by way of the authors. the result's a complete creation to Lie conception, illustration thought, invariant conception, and algebraic teams, in a brand new presentation that's extra obtainable to scholars and features a broader diversity of applications.

The philosophy of the sooner e-book is retained, i.e., proposing the critical theorems of illustration thought for the classical matrix teams as motivation for the final concept of reductive teams. The wealth of examples and dialogue prepares the reader for the full arguments now given within the basic case.

Key gains of Symmetry, Representations, and Invariants: (1) Early chapters appropriate for honors undergraduate or starting graduate classes, requiring in basic terms linear algebra, uncomplicated summary algebra, and complicated calculus; (2) functions to geometry (curvature tensors), topology (Jones polynomial through symmetry), and combinatorics (symmetric workforce and younger tableaux); (3) Self-contained chapters, appendices, entire bibliography; (4) greater than 350 workouts (most with specified tricks for ideas) additional discover major techniques; (5) Serves as a great major textual content for a one-year path in Lie workforce concept; (6) merits physicists in addition to mathematicians as a reference work.

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Fundamentals of Bioinformatics and Computational Biology: Methods and Exercises in MATLAB (Modeling and Optimization in Science and Technologies)

This e-book deals accomplished insurance of the entire center subject matters of bioinformatics, and contains useful examples accomplished utilizing the MATLAB bioinformatics toolbox™. it's basically meant as a textbook for engineering and laptop technology scholars attending complicated undergraduate and graduate classes in bioinformatics and computational biology. The booklet develops bioinformatics options from the floor up, beginning with an introductory bankruptcy on molecular biology and genetics. This bankruptcy will let actual technological know-how scholars to completely comprehend and savour the final word objectives of utilising the rules of knowledge expertise to demanding situations in organic information administration, series research, and structures biology. the 1st a part of the ebook additionally contains a survey of current organic databases, instruments that experience develop into crucial in today’s biotechnology learn. the second one a part of the ebook covers methodologies for retrieving organic info, together with basic algorithms for series comparability, scoring, and choosing evolutionary distance. the focus of the 3rd half is on modeling organic sequences and styles as Markov chains. It offers key rules for studying and looking out for sequences of important motifs and biomarkers. The final a part of the e-book, devoted to structures biology, covers phylogenetic research and evolutionary tree computations, in addition to gene expression research with microarrays. in short, the ebook bargains the right hands-on reference advisor to the sector of bioinformatics and computational biology.

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An Illustrated Guide to Linear Programming

"I wouldn't hesitate to suggest the book." — Industrial Engineering
Linear programming is an exceptionally powerful problem-solving device, with functions in enterprise, agriculture, govt, production, transportation, engineering, and lots of different components. This very readable ebook offers an user-friendly advent to linear programming in a fresh, usually funny style.
Requiring no math past high-school algebra, the e-book exhibits how linear programming may also help a person succeed in the optimal resolution for a bunch of various difficulties. bankruptcy One introduces the elemental thoughts of linear programming and discusses its dating to different mathematical types. bankruptcy discusses the formula of linear-programming difficulties, together with precise therapy of difficulties concerning vitamin, catering, task, and task research. bankruptcy 3 in short introduces answer options for linear-programming difficulties, emphasizing the graphical procedure. the ultimate bankruptcy describes and formulates a few vital functions, together with community difficulties, traveling-salesman difficulties and the connection among linear programming and the speculation of games.
Finally, an invaluable appendix deals distinct statements of definitions, theorems and strategies, in addition to extra computational methods. Enlivened with over 70 very good illustrations, this ebook represents a really available creation to simple linear programming.

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Calculus Without Derivatives (Graduate Texts in Mathematics)

By Jean-Paul Penot

Calculus with out Derivatives expounds the rules and up to date advances in nonsmooth research, a robust compound of mathematical instruments that obviates the standard smoothness assumptions. This textbook additionally presents major instruments and strategies in the direction of functions, specifically optimization problems.  while such a lot books in this topic concentrate on a specific conception, this article takes a common method together with all major theories. 

In order to be self-contained, the booklet comprises 3 chapters of initial fabric, each one of which might be used as an independent direction if needed.  the 1st bankruptcy bargains with metric houses, variational rules, lessen rules, equipment of blunders bounds, calmness and metric regularity. the second offers the classical instruments of differential calculus and contains a part in regards to the calculus of adaptations. The 3rd encompasses a clear exposition of convex analysis.

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