Mathematically Speaking

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Mathematically Speaking

Mathematically Speaking [Pdf/ePub] eBook ISBN-10: 9781420050301
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Publisher: CRC Press
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Mathematically Speaking by Book Resume:

For the first time, a book has brought together in one easily accessible form the best expressed thoughts that are especially illuminating and pertinent to the discipline of mathematics. Mathematically Speaking: A Dictionary of Quotations provides profound, wise, and witty quotes from the most famous to the unknown. You may not find all the quoted "jewels" that exist, but you will definitely a great many of them here. The extensive author and subject indexes provide you with the perfect tools for locating quotations for practical use or pleasure, and you will soon enjoy discovering what others have said on topics ranging from addition to zero. This book will be a handy reference for the mathematician or scientific reader and the wider public interested in who has said what on mathematics.

More Mathematical Quickies & Trickies

More Mathematical Quickies & Trickies [Pdf/ePub] eBook ISBN-10: 9810854137
Author: Yan Kow Cheong
Publisher: MathPlus Publishing
File Size: 1094 KB
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More Mathematical Quickies & Trickies by Yan Kow Cheong Book Resume:

This long-awaited sequel of Mathematical Quickies & Trickles comes with many creative worked examples and questions, with cartoons sprinkled throughout the book to keep in line with the same irreverent and fun spirit of the previous book. In addition to 300+ trick and tricky questions, More Mathematical Quickies & Trickles comes with more than 25 five-minute enrichment mathematics items, aimed at enhancing the mathematical problem-solving skills of problem solvers. You won’t only be exposed to different problem-solving techniques, commonly used in answering math contests and competitions questions, but also learn to appreciate elegant or intuitive solutions. More Mathematical Quickies & Trickies would appeal primarily to these audiences: * grades 6-8 students and teachers looking for some fertile trick and tricky questions; * mathletes preparing for local and regional contests and competitions; * problem solvers longing to be challenged by questions whose obvious solutions are never the correct ones for what offhand appears to be true is false. Contents 1. Creative GST 2. Are You Calculator-Smart? 3. What Is the Easy Way? 4. The Magic of Three Consecutive Numbers 5. Twitter Math @MathPlus 6. What Is 27 x 37, Really? 7. Humanizing 1, 2, 3 8. A Mathophobia Kit 9. WITs: 13 Ways to Attain Mathematical Excellence 10. Facebook Math: Numeracy vs. Literacy 11. Thou Shalt Not Divide By Zero 12. Math Jokes to Relieve Stress 13. Look-see Proofs 14. Some PhD Math Questions 15. Mathematical Prayers 16. The Largest Product 17. What’s Wrong?: A Comedy of Mathematical Errors 18. The Aha! Myth 19. Sam Loyd’s Toughies 20. The Tuesday Boy Problem 21. What Is 1 + 1, Really? 22. In Love with Cryptarithms 23. Mathematical Kiasuism 24. The Mathemagic of 142857 25. The Lighter Side of Singapore Math 26. K C Yan’s Laws & Lores 27 Flee and Free from the FREE Answers/Hints/Solutions Bibliography & References

Teacup and Saucer

Teacup and Saucer [Pdf/ePub] eBook ISBN-10: 1462012787
Author: Keith N. Ferreira
Publisher: iUniverse
File Size: 1929 KB
File Format: Pdf
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Teacup and Saucer by Keith N. Ferreira Book Resume:

Teacup and Saucer is a book about philosophy, which the author believes is the key to educating the masses of the world. Keith N. Ferreira is a self-taught Trinidad & Tobago born American philosopher. He is a disabled American veteran, who lives in Delaware, USA. The book, Teacup and Saucer, is written in the style of the literary collage aphorism, which is a style of aphorism that is repetitive. http://philophysics.com

The Growth of Mathematical Knowledge

The Growth of Mathematical Knowledge [Pdf/ePub] eBook ISBN-10: 9401595585
Author: Emily Grosholz,Herbert Breger
Publisher: Springer Science & Business Media
File Size: 439 KB
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Read Count: 1254513

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The Growth of Mathematical Knowledge by Emily Grosholz,Herbert Breger Book Resume:

Mathematics has stood as a bridge between the Humanities and the Sciences since the days of classical antiquity. For Plato, mathematics was evidence of Being in the midst of Becoming, garden variety evidence apparent even to small children and the unphilosophical, and therefore of the highest educational significance. In the great central similes of The Republic it is the touchstone ofintelligibility for discourse, and in the Timaeus it provides in an oddly literal sense the framework of nature, insuring the intelligibility ofthe material world. For Descartes, mathematical ideas had a clarity and distinctness akin to the idea of God, as the fifth of the Meditations makes especially clear. Cartesian mathematicals are constructions as well as objects envisioned by the soul; in the Principles, the work ofthe physicist who provides a quantified account ofthe machines of nature hovers between description and constitution. For Kant, mathematics reveals the possibility of universal and necessary knowledge that is neither the logical unpacking ofconcepts nor the record of perceptual experience. In the Critique ofPure Reason, mathematics is one of the transcendental instruments the human mind uses to apprehend nature, and by apprehending to construct it under the universal and necessary lawsofNewtonian mechanics.

Meeting the Standards in Primary Mathematics

Meeting the Standards in Primary Mathematics [Pdf/ePub] eBook ISBN-10: 1134533152
Author: Tony Brown
Publisher: Routledge
File Size: 1235 KB
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Read Count: 3175832

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Meeting the Standards in Primary Mathematics by Tony Brown Book Resume:

This book guides readers through the professional standards and requirements to reach Qualified Teacher Status, explaining what trainees need to know. The author discusses the best ways of developing mathematical knowledge and teaching skills, and how to acquire the professional know-how needed to complete the training successfully. will: help readers to understand the Standards related to mathematics teaching offer detailed guidance on the primary mathematics curriculum help readers prepare for the QTS skills test help readers to develop the pedagogical knowledge that you need for effective teaching of mathematics help readers prepare for school-based training provide ideas, suggestions and further reading to support during their training and their NQT year. This practical guide to meeting the standards is invaluable for students on primary training courses, lecturers and mentors supporting trainees in mathematics education programmes and newly qualified teachers.

PISA Learning Mathematics for Life A Perspective from PISA

PISA Learning Mathematics for Life A Perspective from PISA [Pdf/ePub] eBook ISBN-10: 9264075003
Author: OECD
Publisher: OECD Publishing
File Size: 789 KB
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PISA Learning Mathematics for Life A Perspective from PISA by OECD Book Resume:

Learning Mathematics for Life examines the link between the PISA test requirements and student performance. It focuses specifically on the proportions of students who answer questions correctly across a range of difficulty. The questions are classified by content, competencies, context and format.

Mathematics for Sustainability

Mathematics for Sustainability [Pdf/ePub] eBook ISBN-10: 3319766600
Author: John Roe,Russ deForest,Sara Jamshidi
Publisher: Springer
File Size: 568 KB
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Read Count: 3050210

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Mathematics for Sustainability by John Roe,Russ deForest,Sara Jamshidi Book Resume:

Designed for the 21st century classroom, this textbook poses, refines, and analyzes questions of sustainability in a quantitative environment. Building mathematical knowledge in the context of issues relevant to every global citizen today, this text takes an approach that empowers students of all disciplines to understand and reason with quantitative information. Whatever conclusions may be reached on a given topic, this book will prepare the reader to think critically about their own and other people’s arguments and to support them with careful, mathematical reasoning. Topics are grouped in themes of measurement, flow, connectivity, change, risk, and decision-making. Mathematical thinking is at the fore throughout, as students learn to model sustainability on local, regional, and global scales. Exercises emphasize concepts, while projects build and challenge communication skills. With no prerequisites beyond high school algebra, instructors will find this book a rich resource for engaging all majors in the mathematics classroom. From the Foreword No longer will you be just a spectator when people give you quantitative information—you will become an active participant who can engage and contribute new insights to any discussion.[...] There are many math books that will feed you knowledge, but it is rare to see a book like this one that will help you cultivate wisdom.[...] As the authors illustrate, mathematics that pays attention to human considerations can help you look at the world with a new lens, help you frame important questions, and help you make wise decisions. Francis Edward Su, Harvey Mudd College

Paris-Princeton Lectures on Mathematical Finance 2004

Paris-Princeton Lectures on Mathematical Finance 2004 [Pdf/ePub] eBook ISBN-10: 3540733272
Author: René Carmona,Ivar Ekeland,Jean-Michel Lasry,Pierre-Louis Lions,Huyên Pham,Erik Taflin
Publisher: Springer
File Size: 1541 KB
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Paris-Princeton Lectures on Mathematical Finance 2004 by René Carmona,Ivar Ekeland,Jean-Michel Lasry,Pierre-Louis Lions,Huyên Pham,Erik Taflin Book Resume:

This is the third volume in the Paris-Princeton Lectures in Financial Mathematics, which publishes, on an annual basis, cutting-edge research in self-contained, expository articles from outstanding specialists, both established and upcoming. Coverage includes articles by René Carmona, Ivar Ekeland/Erik Taflin, Arturo Kohatsu-Higa, Pierre-Louis Lions/Jean-Michel Lasry, and Huyên Pham.

Mastering Regular Expressions

Mastering Regular Expressions [Pdf/ePub] eBook ISBN-10: 1449332536
Author: Jeffrey E.F. Friedl
Publisher: \"O\'Reilly Media, Inc.\"
File Size: 1287 KB
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Read Count: 9439680

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Mastering Regular Expressions by Jeffrey E.F. Friedl Book Resume:

Regular expressions are an extremely powerful tool for manipulating text and data. They are now standard features in a wide range of languages and popular tools, including Perl, Python, Ruby, Java, VB.NET and C# (and any language using the .NET Framework), PHP, and MySQL. If you don't use regular expressions yet, you will discover in this book a whole new world of mastery over your data. If you already use them, you'll appreciate this book's unprecedented detail and breadth of coverage. If you think you know all you need to know about regularexpressions, this book is a stunning eye-opener. As this book shows, a command of regular expressions is an invaluable skill. Regular expressions allow you to code complex and subtle text processing that you never imagined could be automated. Regular expressions can save you time and aggravation. They can be used to craft elegant solutions to a wide range of problems. Once you've mastered regular expressions, they'll become an invaluable part of your toolkit. You will wonder how you ever got by without them. Yet despite their wide availability, flexibility, and unparalleled power, regular expressions are frequently underutilized. Yet what is power in the hands of an expert can be fraught with peril for the unwary. Mastering Regular Expressions will help you navigate the minefield to becoming an expert and help you optimize your use of regular expressions. Mastering Regular Expressions, Third Edition, now includes a full chapter devoted to PHP and its powerful and expressive suite of regular expression functions, in addition to enhanced PHP coverage in the central "core" chapters. Furthermore, this edition has been updated throughout to reflect advances in other languages, including expanded in-depth coverage of Sun's java.util.regex package, which has emerged as the standard Java regex implementation.Topics include: A comparison of features among different versions of many languages and tools How the regular expression engine works Optimization (major savings available here!) Matching just what you want, but not what you don't want Sections and chapters on individual languages Written in the lucid, entertaining tone that makes a complex, dry topic become crystal-clear to programmers, and sprinkled with solutions to complex real-world problems, Mastering Regular Expressions, Third Edition offers a wealth information that you can put to immediateuse. Reviews of this new edition and the second edition: "There isn't a better (or more useful) book available on regular expressions." --Zak Greant, Managing Director, eZ Systems "A real tour-de-force of a book which not only covers the mechanics of regexes in extraordinary detail but also talks about efficiency and the use of regexes in Perl, Java, and .NET...If you use regular expressions as part of your professional work (even if you already have a good book on whatever language you're programming in) I would strongly recommend this book to you." --Dr. Chris Brown, Linux Format "The author does an outstanding job leading the reader from regexnovice to master. The book is extremely easy to read and chock full ofuseful and relevant examples...Regular expressions are valuable toolsthat every developer should have in their toolbox. Mastering RegularExpressions is the definitive guide to the subject, and an outstandingresource that belongs on every programmer's bookshelf. Ten out of TenHorseshoes." --Jason Menard, Java Ranch

Math is Precise, Period, vs. Math is Precise, Strings Attached

Math is Precise, Period, vs. Math is Precise, Strings Attached [Pdf/ePub] eBook ISBN-10: 1469107325
Author: William J. Adams
Publisher: Xlibris Corporation
File Size: 798 KB
File Format: Pdf
Read Count: 3911010

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Math is Precise, Period, vs. Math is Precise, Strings Attached by William J. Adams Book Resume:

This book is the outcome of my conclusion that current mathematics education, taken in total, is a disaster and that by sharing my experience and thoughts about teaching mathematics I might be helpful to colleagues, students, and others who are concerned about mathematics education to mitigate this state of affairs. Mathematics education disaster in what sense? No, it?s not in the sense that I believe insuffi cient attention is being given to number fundamentals. It has to do with the almost unanimously held erroneous view about the nature, precision, and infallibility of mathematics that we acquire from the current state of mathematics education. Current mathematics education does not prepare us for life in the 21st century, which requires an understanding of the mathematical modeling perspective, of what mathematics can do and its limitations, and an appreciation of the questions that should be considered to help us distinguish numbers that inform from those that deceive. If the wizards of Wall Street had a 21st century mathematics education, there is a good chance that they would not have put unquestioning faith in their value at risk math models and the fi nancial meltdown of 2008-09 would have been avoided, or at least softened. If the nation?s decision makers and the public at large were better educated about what questions to give thought to when numbers continually hurled at them are the basis for decision making, they would be less vulnerable to accepting faulty numbers and all of us would be less at risk to the consequences of bad decision making.

Mathematical Logic

Mathematical Logic [Pdf/ePub] eBook ISBN-10: 1118030699
Author: George Tourlakis
Publisher: John Wiley & Sons
File Size: 1340 KB
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Mathematical Logic by George Tourlakis Book Resume:

A comprehensive and user-friendly guide to the use of logic inmathematical reasoning Mathematical Logic presents a comprehensive introductionto formal methods of logic and their use as a reliable tool fordeductive reasoning. With its user-friendly approach, this booksuccessfully equips readers with the key concepts and methods forformulating valid mathematical arguments that can be used touncover truths across diverse areas of study such as mathematics,computer science, and philosophy. The book develops the logical tools for writing proofs byguiding readers through both the established "Hilbert" style ofproof writing, as well as the "equational" style that is emergingin computer science and engineering applications. Chapters havebeen organized into the two topical areas of Boolean logic andpredicate logic. Techniques situated outside formal logic areapplied to illustrate and demonstrate significant facts regardingthe power and limitations of logic, such as: Logic can certify truths and only truths. Logic can certify all absolute truths (completeness theorems ofPost and Gödel). Logic cannot certify all "conditional" truths, such as thosethat are specific to the Peano arithmetic. Therefore, logic hassome serious limitations, as shown through Gödel'sincompleteness theorem. Numerous examples and problem sets are provided throughout thetext, further facilitating readers' understanding of thecapabilities of logic to discover mathematical truths. In addition,an extensive appendix introduces Tarski semantics and proceeds withdetailed proofs of completeness and first incompleteness theorems,while also providing a self-contained introduction to the theory ofcomputability. With its thorough scope of coverage and accessible style,Mathematical Logic is an ideal book for courses inmathematics, computer science, and philosophy at theupper-undergraduate and graduate levels. It is also a valuablereference for researchers and practitioners who wish to learn howto use logic in their everyday work.

Mathematical Finance

Mathematical Finance [Pdf/ePub] eBook ISBN-10: 3030261069
Author: Ernst Eberlein,Jan Kallsen
Publisher: Springer Nature
File Size: 1017 KB
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Read Count: 2326841

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Mathematical Finance by Ernst Eberlein,Jan Kallsen Book Resume:

Taking continuous-time stochastic processes allowing for jumps as its starting and focal point, this book provides an accessible introduction to the stochastic calculus and control of semimartingales and explains the basic concepts of Mathematical Finance such as arbitrage theory, hedging, valuation principles, portfolio choice, and term structure modelling. It bridges thegap between introductory texts and the advanced literature in the field. Most textbooks on the subject are limited to diffusion-type models which cannot easily account for sudden price movements. Such abrupt changes, however, can often be observed in real markets. At the same time, purely discontinuous processes lead to a much wider variety of flexible and tractable models. This explains why processes with jumps have become an established tool in the statistics and mathematics of finance. Graduate students, researchers as well as practitioners will benefit from this monograph.

Cybersecurity and Applied Mathematics

Cybersecurity and Applied Mathematics [Pdf/ePub] eBook ISBN-10: 0128044993
Author: Leigh Metcalf,William Casey
Publisher: Syngress
File Size: 1558 KB
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Read Count: 4187910

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Cybersecurity and Applied Mathematics by Leigh Metcalf,William Casey Book Resume:

Cybersecurity and Applied Mathematics explores the mathematical concepts necessary for effective cybersecurity research and practice, taking an applied approach for practitioners and students entering the field. This book covers methods of statistical exploratory data analysis and visualization as a type of model for driving decisions, also discussing key topics, such as graph theory, topological complexes, and persistent homology. Defending the Internet is a complex effort, but applying the right techniques from mathematics can make this task more manageable. This book is essential reading for creating useful and replicable methods for analyzing data. Describes mathematical tools for solving cybersecurity problems, enabling analysts to pick the most optimal tool for the task at hand Contains numerous cybersecurity examples and exercises using real world data Written by mathematicians and statisticians with hands-on practitioner experience

Mathematics for Civil Engineers

Mathematics for Civil Engineers [Pdf/ePub] eBook ISBN-10: 1780465777
Author: Xin-She Yamg
Publisher: Dunedin Academic Press Ltd
File Size: 974 KB
File Format: Pdf
Read Count: 8177549

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Mathematics for Civil Engineers by Xin-She Yamg Book Resume:

Civil Engineers use mathematics as part of their daily routine. In this introductory book Dr Yang provides methods for practical application as well as an introductory text for undergraduate students.

Mathematical Stereochemistry

Mathematical Stereochemistry [Pdf/ePub] eBook ISBN-10: 3110728230
Author: Shinsaku Fujita
Publisher: Walter de Gruyter GmbH & Co KG
File Size: 1759 KB
File Format: Pdf
Read Count: 8091101

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Mathematical Stereochemistry by Shinsaku Fujita Book Resume:

Chirality and stereogenicity are closely related concepts and their differentiation and description is still a challenge in chemoinformatics. In his 2015 book, Fujita developed a new stereoisogram approach that provided theoretical framework for mathematical aspects of modern stereochemistry. This new edition includes a new chapter on Computer-Oriented Representations developed by the author based on Groups, Algorithms, Programming (GAP) system.

Applying Mathematics

Applying Mathematics [Pdf/ePub] eBook ISBN-10: 0192546651
Author: Otávio Bueno,Steven French
Publisher: Oxford University Press
File Size: 1505 KB
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Applying Mathematics by Otávio Bueno,Steven French Book Resume:

How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? What has been called 'the unreasonable effectiveness of mathematics' sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character, whereas others have pointed to the range of structures that mathematics offers. Otávio Bueno and Steven French offer a middle way, which focuses on the moves that have to be made in both the mathematics and the relevant physics in order to bring the two into appropriate relation. This relation can be captured via the inferential conception of the applicability of mathematics, which is formulated in terms of immersion, inference, and interpretation. In particular, the roles of idealisations and of surplus structure in science and mathematics respectively are brought to the fore and captured via an approach to models and theories that emphasize the partiality of the available information: the partial structures approach. The discussion as a whole is grounded in a number of case studies drawn from the history of quantum physics, and extended to contest recent claims that the explanatory role of certain mathematical structures in scientific practice supports a realist attitude towards them. The overall conclusion is that the effectiveness of mathematics does not seem unreasonable at all once close attention is paid to how it is actually applied in practice.

Learning Through Teaching Mathematics

Learning Through Teaching Mathematics [Pdf/ePub] eBook ISBN-10: 9789048139903
Author: Roza Leikin,Rina Zazkis
Publisher: Springer Science & Business Media
File Size: 1751 KB
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Read Count: 3888587

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Learning Through Teaching Mathematics by Roza Leikin,Rina Zazkis Book Resume:

The idea of teachers Learning through Teaching (LTT) – when presented to a naïve bystander – appears as an oxymoron. Are we not supposed to learn before we teach? After all, under the usual circumstances, learning is the task for those who are being taught, not of those who teach. However, this book is about the learning of teachers, not the learning of students. It is an ancient wisdom that the best way to “truly learn” something is to teach it to others. Nevertheless, once a teacher has taught a particular topic or concept and, consequently, “truly learned” it, what is left for this teacher to learn? As evident in this book, the experience of teaching presents teachers with an exciting opp- tunity for learning throughout their entire career. This means acquiring a “better” understanding of what is being taught, and, moreover, learning a variety of new things. What these new things may be and how they are learned is addressed in the collection of chapters in this volume. LTT is acknowledged by multiple researchers and mathematics educators. In the rst chapter, Leikin and Zazkis review literature that recognizes this phenomenon and stress that only a small number of studies attend systematically to LTT p- cesses. The authors in this volume purposefully analyze the teaching of mathematics as a source for teachers’ own learning.

Finite Mathematics, Models, and Structure

Finite Mathematics, Models, and Structure [Pdf/ePub] eBook ISBN-10: 1469107341
Author: William J. Adams
Publisher: Xlibris Corporation
File Size: 1842 KB
File Format: Pdf
Read Count: 9416715

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Finite Mathematics, Models, and Structure by William J. Adams Book Resume:

Still another book on finite math? Why? Hasnt everything that should have been said been said? No, I would argue. The shortcoming that troubles me most about the books I am familiar with is their failure to provide perspective on what math technique and the use of technology can do for us and its limitations. This can only be addressed through vigorous and sustained use of the mathematical modeling perspective, which is a hallmark of this books exposition. A point continually stressed is that reaching a mathematical answer to a problem is not the end of the story. It is in a sense the end of a chapter, but the next chapter is concerned with questions about whether and how the mathematical answer should be implemented. Also addressed is the question of what to consider when more than one answer is obtained for a problem.

European Congress of Mathematics

European Congress of Mathematics [Pdf/ePub] eBook ISBN-10: 3034882661
Author: Carles Casacuberta,Rosa M. Miro-Roig,Joan Verdera,Sebastia Xambo-Descamps
Publisher: Birkhäuser
File Size: 1878 KB
File Format: Pdf
Read Count: 2450086

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European Congress of Mathematics by Carles Casacuberta,Rosa M. Miro-Roig,Joan Verdera,Sebastia Xambo-Descamps Book Resume:

This is the second volume of the proceedings of the third European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners as well as papers by plenary and parallel speakers. The second volume collects articles by prize winners and speakers of the mini-symposia. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician.

Introduction to Computational Mathematics

Introduction to Computational Mathematics [Pdf/ePub] eBook ISBN-10: 9814635804
Author: Xin-She Yang
Publisher: World Scientific Publishing Company
File Size: 838 KB
File Format: Pdf
Read Count: 3732067

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Introduction to Computational Mathematics by Xin-She Yang Book Resume:

This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of contemporary numerical algorithms, scientific computing and optimization. It uses a theorem-free approach with just the right balance between mathematics and numerical algorithms. This edition covers all major topics in computational mathematics with a wide range of carefully selected numerical algorithms, ranging from the root-finding algorithm, numerical integration, numerical methods of partial differential equations, finite element methods, optimization algorithms, stochastic models, nonlinear curve-fitting to data modelling, bio-inspired algorithms and swarm intelligence. This book is especially suitable for both undergraduates and graduates in computational mathematics, numerical algorithms, scientific computing, mathematical programming, artificial intelligence and engineering optimization. Thus, it can be used as a textbook and/or reference book.