A Primer For A Secret Shortcut To Pdes Of Mathematical Physics

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A Primer for a Secret Shortcut to PDEs of Mathematical Physics

Author : Des McGhee
Publisher : Springer Nature
ISBN 13 : 3030473333
Total Pages : 191 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis A Primer for a Secret Shortcut to PDEs of Mathematical Physics by : Des McGhee

Download or read book A Primer for a Secret Shortcut to PDEs of Mathematical Physics written by Des McGhee and published by Springer Nature. This book was released on 2020-08-24 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise introduction to a unified Hilbert space approach to the mathematical modelling of physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any reasonable model in mathematical physics or engineering.However, the application of the theory to other types of equations is also demonstrated. By means of illustrative examples, from the straightforward to the more complex, the authors show that many of the classical models in mathematical physics as well as more recent models of novel materials and interactions are covered, or can be restructured to be covered, by this unified Hilbert space approach. The reader should require only a basic foundation in the theory of Hilbert spaces and operators therein. For convenience, however, some of the more technical background requirements are covered in detail in two appendices The theory is kept as elementary as possible, making the material suitable for a senior undergraduate or master’s level course. In addition, researchers in a variety of fields whose work involves partial differential equations and applied operator theory will also greatly benefit from this approach to structuring their mathematical models in order that the general theory can be applied to ensure the essential properties of well-posedness and causality.

Differential Equations For Dummies

Author : Steven Holzner
Publisher : John Wiley & Sons
ISBN 13 : 0470178140
Total Pages : 381 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis Differential Equations For Dummies by : Steven Holzner

Download or read book Differential Equations For Dummies written by Steven Holzner and published by John Wiley & Sons. This book was released on 2008-06-03 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.

Simulation and Learning

Author : Franco Landriscina
Publisher : Springer Science & Business Media
ISBN 13 : 1461419549
Total Pages : 250 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Simulation and Learning by : Franco Landriscina

Download or read book Simulation and Learning written by Franco Landriscina and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main idea of this book is that to comprehend the instructional potential of simulation and to design effective simulation-based learning environments, one has to consider both what happens inside the computer and inside the students' minds. The framework adopted to do this is model-centered learning, in which simulation is seen as particularly effective when learning requires a restructuring of the individual mental models of the students, as in conceptual change. Mental models are by themeselves simulations, and thus simulation models can extend our biological capacity to carry out simulative reasoning. For this reason, recent approaches in cognitive science like embodied cognition and the extended mind hypothesis are also considered in the book.. A conceptual model called the “epistemic simulation cycle” is proposed as a blueprint for the comprehension of the cognitive activies involved in simulation-based learning and for instructional design.

Quantum Computing Since Democritus

Author : Scott Aaronson
Publisher : Cambridge University Press
ISBN 13 : 0521199565
Total Pages : 403 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Quantum Computing Since Democritus by : Scott Aaronson

Download or read book Quantum Computing Since Democritus written by Scott Aaronson and published by Cambridge University Press. This book was released on 2013-03-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.

Liquid Life

Author : Rachel Armstrong
Publisher :
ISBN 13 : 9781950192182
Total Pages : 600 pages
Book Rating : 4.1/5 (921 download)

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Book Synopsis Liquid Life by : Rachel Armstrong

Download or read book Liquid Life written by Rachel Armstrong and published by . This book was released on 2019 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: If we lived in a liquid world, the concept of a "machine" would make no sense. Liquid life is metaphor and apparatus that discusses the consequences of thinking, working, and living through liquids. It is an irreducible, paradoxical, parallel, planetary-scale material condition, unevenly distributed spatially, but temporally continuous. It is what remains when logical explanations can no longer account for the experiences that we recognize as part of "being alive."Liquid Life references a third-millennial understanding of matter that seeks to restore the agency of the liquid soul for an ecological era, which has been banished by reductionist, "brute" materialist discourses and mechanical models of life. Offering an alternative worldview of the living realm through a "new materialist" and "liquid" study of matter, Armstrong conjures forth examples of creatures that do not obey mechanistic concepts like predictability, efficiency, and rationality. With the advent of molecular science, an increasingly persuasive ontology of liquid technologies can be identified. Through the lens of lifelike dynamic droplets, the agency for these systems exists at the interfaces between different fields of matter/energy that respond to highly local effects, with no need for a central organizing system.Liquid Life seeks an alternative partnership between humanity and the natural world. It provokes a re-invention of the languages of the living realm to open up alternative spaces for exploration, including contributor Rolf Hughes' "angelology" of language, which explores the transformative invocations of prose poetry, and Simone Ferracina's graphical notations that help shape our concepts of metabolism, upcycling, and designing with fluids. A conceptual and practical toolset for thinking and designing, liquid life reunites us with the irreducible "soul substance" of living things, which will neither be simply "solved," nor go away.

Partial Differential Equations

Author : Rainer H. Picard
Publisher : Walter de Gruyter
ISBN 13 : 3110250268
Total Pages : 489 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Partial Differential Equations by : Rainer H. Picard

Download or read book Partial Differential Equations written by Rainer H. Picard and published by Walter de Gruyter. This book was released on 2011 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic approach to a solution theory for linear partial differential equations developed in a Hilbert space setting based on a Sobolev Lattice structure, a simple extension of the well established notion of a chain (or scale) of Hilbert spaces. The focus on a Hilbert space (rather than an apparently more general Banach space) setting is not a severe constraint, but rather a highly adaptable and suitable approach providing a more transparent framework for presenting the main issues in the development of a solution theory for partial differential equations. In contrast to other texts on partial differential equations which consider either specific types of partial differential equations or apply a collection of tools for solving a variety of partial differential equations, this book takes a more global point of view by focussing on the issues involved in determining the appropriate functional analytic setting in which a solution theory can naturally be developed. Applications to many areas of mathematical physics are presented. The book aims to be a largely self-contained. Full proofs to all but the most straightforward results are provided, keeping to a minimum references to other literature for essential material. It is therefore highly suitable as a resource for graduate courses and for researchers, who will find new results for particular evolutionary system from mathematical physics.

Information—Consciousness—Reality

Author : James B. Glattfelder
Publisher : Springer
ISBN 13 : 3030036332
Total Pages : 662 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Information—Consciousness—Reality by : James B. Glattfelder

Download or read book Information—Consciousness—Reality written by James B. Glattfelder and published by Springer. This book was released on 2019-04-10 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.

The Fourier Transform and Its Applications

Author : Ronald Newbold Bracewell
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (22 download)

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Book Synopsis The Fourier Transform and Its Applications by : Ronald Newbold Bracewell

Download or read book The Fourier Transform and Its Applications written by Ronald Newbold Bracewell and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Understanding and Using Linear Programming

Author : Jiri Matousek
Publisher : Springer Science & Business Media
ISBN 13 : 3540307176
Total Pages : 230 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Understanding and Using Linear Programming by : Jiri Matousek

Download or read book Understanding and Using Linear Programming written by Jiri Matousek and published by Springer Science & Business Media. This book was released on 2007-07-04 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introductory textbook mainly for students of computer science and mathematics. Our guiding phrase is "what every theoretical computer scientist should know about linear programming". A major focus is on applications of linear programming, both in practice and in theory. The book is concise, but at the same time, the main results are covered with complete proofs and in sufficient detail, ready for presentation in class. The book does not require more prerequisites than basic linear algebra, which is summarized in an appendix. One of its main goals is to help the reader to see linear programming "behind the scenes".

Interactive Data Visualization for the Web

Author : Scott Murray
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449340253
Total Pages : 269 pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Interactive Data Visualization for the Web by : Scott Murray

Download or read book Interactive Data Visualization for the Web written by Scott Murray and published by "O'Reilly Media, Inc.". This book was released on 2013-03-11 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author Scott Murray teaches you the fundamental concepts and methods of D3, a JavaScript library that lets you express data visually in a web browser

Mathematical Conversations

Author : Robin Wilson
Publisher : Springer Science & Business Media
ISBN 13 : 1461301955
Total Pages : 486 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Mathematical Conversations by : Robin Wilson

Download or read book Mathematical Conversations written by Robin Wilson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximately fifty articles that were published in The Mathematical Intelligencer during its first eighteen years. The selection demonstrates the wide variety of attractive articles that have appeared over the years, ranging from general interest articles of a historical nature to lucid expositions of important current discoveries. Each article is introduced by the editors. "...The Mathematical Intelligencer publishes stylish, well-illustrated articles, rich in ideas and usually short on proofs. ...Many, but not all articles fall within the reach of the advanced undergraduate mathematics major. ... This book makes a nice addition to any undergraduate mathematics collection that does not already sport back issues of The Mathematical Intelligencer." D.V. Feldman, University of New Hamphire, CHOICE Reviews, June 2001.

The Callias Index Formula Revisited

Author : Fritz Gesztesy
Publisher : Springer
ISBN 13 : 3319299778
Total Pages : 191 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis The Callias Index Formula Revisited by : Fritz Gesztesy

Download or read book The Callias Index Formula Revisited written by Fritz Gesztesy and published by Springer. This book was released on 2016-06-28 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. In the late 1970’s, Constantine Callias found a formula for the Fredholm index of a particular first-order differential operator (intimately connected to a supersymmetric Dirac-type operator) additively perturbed by a potential, shedding additional light on the Fedosov-Hörmander Index Theorem. As a byproduct of our proof we also offer a glimpse at special non-Fredholm situations employing a generalized Witten index.

Scientific American Inventions and Discoveries

Author : Rodney Carlisle
Publisher : Turner Publishing Company
ISBN 13 : 0470306920
Total Pages : 711 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Scientific American Inventions and Discoveries by : Rodney Carlisle

Download or read book Scientific American Inventions and Discoveries written by Rodney Carlisle and published by Turner Publishing Company. This book was released on 2008-04-21 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique A-to-Z reference of brilliance in innovation and invention Combining engagingly written, well-researched history with the respected imprimatur of Scientific American magazine, this authoritative, accessible reference provides a wide-ranging overview of the inventions, technological advances, and discoveries that have transformed human society throughout our history. More than 400 entertaining entries explain the details and significance of such varied breakthroughs as the development of agriculture, the "invention" of algebra, and the birth of the computer. Special chronological sections divide the entries, providing a unique focus on the intersection of science and technology from early human history to the present. In addition, each section is supplemented by primary source sidebars, which feature excerpts from scientists' diaries, contemporary accounts of new inventions, and various "In Their Own Words" sources. Comprehensive and thoroughly readable, Scientific American Inventions and Discoveries is an indispensable resource for anyone fascinated by the history of science and technology. Topics include: aerosol spray * algebra * Archimedes' Principle * barbed wire * canned food * carburetor * circulation of blood * condom * encryption machine * fork * fuel cell * latitude * music synthesizer * positron * radar * steel * television * traffic lights * Heisenberg's uncertainty principle

An Imaginary Tale

Author : Paul Nahin
Publisher : Princeton University Press
ISBN 13 : 1400833892
Total Pages : 297 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis An Imaginary Tale by : Paul Nahin

Download or read book An Imaginary Tale written by Paul Nahin and published by Princeton University Press. This book was released on 2010-02-22 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called "imaginary numbers"--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive "numbers" in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions.

Introduction to C++ for Financial Engineers

Author : Daniel J. Duffy
Publisher : John Wiley & Sons
ISBN 13 : 1118856465
Total Pages : 405 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Introduction to C++ for Financial Engineers by : Daniel J. Duffy

Download or read book Introduction to C++ for Financial Engineers written by Daniel J. Duffy and published by John Wiley & Sons. This book was released on 2013-10-24 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the C++ programming language and how to use it to write applications in quantitative finance (QF) and related areas. No previous knowledge of C or C++ is required -- experience with VBA, Matlab or other programming language is sufficient. The book adopts an incremental approach; starting from basic principles then moving on to advanced complex techniques and then to real-life applications in financial engineering. There are five major parts in the book: C++ fundamentals and object-oriented thinking in QF Advanced object-oriented features such as inheritance and polymorphism Template programming and the Standard Template Library (STL) An introduction to GOF design patterns and their applications in QF Applications The kinds of applications include binomial and trinomial methods, Monte Carlo simulation, advanced trees, partial differential equations and finite difference methods. This book includes a companion website with all source code and many useful C++ classes that you can use in your own applications. Examples, test cases and applications are directly relevant to QF. This book is the perfect companion to Daniel J. Duffy’s book Financial Instrument Pricing using C++ (Wiley 2004, 0470855096 / 9780470021620)

Dive Into Algorithms

Author : Bradford Tuckfield
Publisher : No Starch Press
ISBN 13 : 1718500696
Total Pages : 250 pages
Book Rating : 4.7/5 (185 download)

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Book Synopsis Dive Into Algorithms by : Bradford Tuckfield

Download or read book Dive Into Algorithms written by Bradford Tuckfield and published by No Starch Press. This book was released on 2021-01-05 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dive Into Algorithms is a broad introduction to algorithms using the Python Programming Language. Dive Into Algorithms is a wide-ranging, Pythonic tour of many of the world's most interesting algorithms. With little more than a bit of computer programming experience and basic high-school math, you'll explore standard computer science algorithms for searching, sorting, and optimization; human-based algorithms that help us determine how to catch a baseball or eat the right amount at a buffet; and advanced algorithms like ones used in machine learning and artificial intelligence. You'll even explore how ancient Egyptians and Russian peasants used algorithms to multiply numbers, how the ancient Greeks used them to find greatest common divisors, and how Japanese scholars in the age of samurai designed algorithms capable of generating magic squares. You'll explore algorithms that are useful in pure mathematics and learn how mathematical ideas can improve algorithms. You'll learn about an algorithm for generating continued fractions, one for quick calculations of square roots, and another for generating seemingly random sets of numbers. You'll also learn how to: • Use algorithms to debug code, maximize revenue, schedule tasks, and create decision trees • Measure the efficiency and speed of algorithms • Generate Voronoi diagrams for use in various geometric applications • Use algorithms to build a simple chatbot, win at board games, or solve sudoku puzzles • Write code for gradient ascent and descent algorithms that can find the maxima and minima of functions • Use simulated annealing to perform global optimization • Build a decision tree to predict happiness based on a person's characteristics Once you've finished this book you'll understand how to code and implement important algorithms as well as how to measure and optimize their performance, all while learning the nitty-gritty details of today's most powerful algorithms.

Idea Man

Author : Paul Allen
Publisher : Penguin UK
ISBN 13 : 0241953715
Total Pages : 392 pages
Book Rating : 4.2/5 (419 download)

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Book Synopsis Idea Man by : Paul Allen

Download or read book Idea Man written by Paul Allen and published by Penguin UK. This book was released on 2012 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: What's it like to start a revolution? How do you build the biggest tech company in the world? And why do you walk away from it all? Paul Allen co-founded Microsoft. Together he and Bill Gates turned an idea - writing software - into a company and then an entire industry. This is the story of how it came about: two young mavericks who turned technology on its head, the bitter battles as each tried to stamp his vision on the future and the ruthless brilliance and fierce commitment.