Download E-books Theory and Application of Infinite Series (Dover Books on Mathematics) PDF

By Konrad Knopp

This strangely transparent and engaging vintage bargains an intensive and trustworthy remedy of an enormous department of upper research. The paintings covers actual numbers and sequences, foundations of the idea of countless sequence, and improvement of the idea (series of important phrases, Euler's summation formulation, asymptotic expansions, and different topics). routines all through. perfect for self-study.

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Download E-books How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics PDF

What is math? How precisely does it paintings? And what do 3 siblings attempting to percentage a cake need to do with it? In How to Bake Pi, math professor Eugenia Cheng presents an available creation to the good judgment and sweetness of arithmetic, powered, all of sudden, through insights from the kitchen. We learn the way the béchamel in a lasagna could be a lot just like the quantity 5, and why creating a reliable custard proves that math is straightforward yet lifestyles is tough. on the middle of all of it is Cheng’s paintings on classification idea, a state-of-the-art “mathematics of mathematics,” that's approximately knowing how math works.

Combined together with her infectious enthusiasm for cooking and actual zest for all times, Cheng’s standpoint on math is a humorous trip via an unlimited territory no renowned e-book on math has explored prior to. So, what's math? Let’s search for the reply within the kitchen.

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Download E-books Differential Equations (4th Edition) PDF

By Paul Blanchard, Robert L. Devaney, Glen R. Hall

Incorporating an leading edge modeling method, this publication for a one-semester differential equations path emphasizes conceptual knowing to aid clients relate info taught within the school room to real-world stories. yes types reappear through the ebook as operating topics to synthesize diversified ideas from a number of angles, and a dynamical structures concentration emphasizes predicting the long term habit of those routine types. clients will realize find out how to establish and harness the maths they're going to use of their careers, and practice it successfully outdoors the study room.

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Download E-books What to Solve?: Problems and Suggestions for Young Mathematicians (Oxford Science Publications) PDF

By Judita Cofman

This publication offers a wide selection of mathematical difficulties for youths and scholars to aid stimulate curiosity in mathematical rules outdoor of the study room. difficulties within the textual content fluctuate in hassle from the simple to the unsolved, yet all will inspire self sustaining research, show diverse ways to problem-solving, and illustrate a few of the recognized dilemmas that recognized mathematicians have tried to resolve. precious tricks and designated discussions of recommendations are integrated, making this booklet a useful source for colleges, pupil lecturers, and school arithmetic classes, in addition to for someone serious about mathematical ideas.

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Download E-books Visions of Infinity: The Great Mathematical Problems PDF

By Ian Stewart

It is among the wonders of arithmetic that, for each challenge mathematicians remedy, one other awaits to perplex and impress them. a few of these difficulties are new, whereas others have questioned and bewitched thinkers around the a long time. Such demanding situations supply a tantalizing glimpse of the field’s limitless capability, and preserve mathematicians having a look towards the horizons of highbrow possibility.

In Visions of Infinity, celebrated mathematician Ian Stewart presents a desirable evaluate of the main bold difficulties mathematicians have vanquished, and people who vex them nonetheless. He explains why those difficulties exist, what drives mathematicians to resolve them, and why their efforts topic within the context of technology as an entire. The three-century attempt to end up Fermat’s final theorem—first posited in 1630, and eventually solved through Andrew Wiles in 1995—led to the construction of algebraic quantity thought and complicated research. The Poincaré conjecture, which was once cracked in 2002 by way of the eccentric genius Grigori Perelman, has develop into basic to mathematicians’ realizing of 3-dimensional shapes. yet whereas mathematicians have made huge, immense advances lately, a few difficulties proceed to baffle us. certainly, the Riemann speculation, which Stewart refers to because the “Holy Grail of natural mathematics,” and the P/NP challenge, which straddles arithmetic and computing device technological know-how, may possibly simply stay unproved for an additional hundred years.

An approachable and illuminating background of arithmetic as advised via fourteen of its maximum difficulties, Visions of Infinity unearths how mathematicians across the world are emerging to the demanding situations set by way of their predecessors—and how the enigmas of the prior unavoidably quit to the strong thoughts of the present.

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Download E-books Dynamical Systems: An Introduction (Universitext) PDF

By Luis Barreira, Claudia Valls

The idea of dynamical platforms is a large and energetic learn topic with connections to so much elements of arithmetic. Dynamical structures: An Introduction undertakes the tough activity to supply a self-contained and compact advent.

Topics coated comprise topological, low-dimensional, hyperbolic and symbolic dynamics, in addition to a quick creation to ergodic concept. particularly, the authors contemplate topological recurrence, topological entropy, homeomorphisms and diffeomorphisms of the circle, Sharkovski's ordering, the Poincaré-Bendixson idea, and the development of sturdy manifolds, in addition to an advent to geodesic flows and the examine of hyperbolicity (the latter is usually absent in a primary introduction). in addition, the authors introduce the fundamentals of symbolic dynamics, the development of symbolic codings, invariant measures, Poincaré's recurrence theorem and Birkhoff's ergodic theorem.

The exposition is mathematically rigorous, concise and direct: all statements (except for a few effects from different parts) are confirmed. even as, the textual content illustrates the speculation with many examples and one hundred forty workouts of variable degrees of trouble. the single necessities are a historical past in linear algebra, research and trouble-free topology.

This is a textbook basically designed for a one-semester or two-semesters direction on the complex undergraduate or starting graduate degrees. it might probably even be used for self-study and as a kick off point for extra complex topics.

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Download E-books Basic Mathematics for Economists PDF

Economics scholars will welcome the recent variation of this wonderful textbook. arithmetic is an essential component of economics and knowing uncomplicated recommendations is key. Many scholars come into economics classes with no need studied arithmetic for a few years. This truly written publication might help to boost quantitative talents in even the least numerate scholar as much as the mandatory point for a basic Economics or enterprise reports direction. This moment version good points new sections on matters comparable to:

matrix algebra

part yr funding

financial arithmetic

Improved pedagogical gains, akin to studying pursuits and finish of bankruptcy questions, in addition to using Microsoft Excel and the final example-led sort of the booklet signifies that it is going to be a yes hearth hit with either scholars and their lecturers.

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Download E-books Linear Algebra: A Modern Introduction PDF

David Poole's leading edge LINEAR ALGEBRA: a latest creation, 4e emphasizes a vectors process and higher prepares scholars to make the transition from computational to theoretical arithmetic. Balancing idea and functions, the publication is written in a conversational sort and combines a standard presentation with a spotlight on student-centered studying. Theoretical, computational, and utilized themes are awarded in a versatile but built-in approach. Stressing geometric knowing ahead of computational strategies, vectors and vector geometry are brought early to assist scholars visualize options and boost mathematical adulthood for summary pondering. also, the publication comprises abundant purposes drawn from numerous disciplines, which strengthen the truth that linear algebra is a helpful device for modeling real-life difficulties.

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Download E-books Algebraic Function Fields and Codes (Graduate Texts in Mathematics, Volume 254) PDF

By Henning Stichtenoth

This e-book hyperlinks topics: algebraic geometry and coding concept. It makes use of a singular method in response to the speculation of algebraic functionality fields. assurance contains the Riemann-Rock theorem, zeta features and Hasse-Weil's theorem in addition to Goppa' s algebraic-geometric codes and different conventional codes. it will likely be precious to researchers in algebraic geometry and coding conception and machine scientists and engineers in info transmission.

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