Advanced Mathematics For Applications

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Advanced Mathematics for Applications

Author : Andrea Prosperetti
Publisher : Cambridge University Press
ISBN 13 : 1139492683
Total Pages : 743 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Advanced Mathematics for Applications by : Andrea Prosperetti

Download or read book Advanced Mathematics for Applications written by Andrea Prosperetti and published by Cambridge University Press. This book was released on 2011-01-06 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.

Advanced Mathematics for Engineering Students

Author : Brent J. Lewis
Publisher : Butterworth-Heinemann
ISBN 13 : 0128236825
Total Pages : 432 pages
Book Rating : 4.1/5 (282 download)

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Book Synopsis Advanced Mathematics for Engineering Students by : Brent J. Lewis

Download or read book Advanced Mathematics for Engineering Students written by Brent J. Lewis and published by Butterworth-Heinemann. This book was released on 2021-05-20 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author’s university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox” for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical). Delivers a focused and concise treatment on the underlying theory and direct application of mathematical methods so that the reader has a collection of important mathematical tools that are easily understood and ready for application as a practicing engineer The book material has been derived from class-tested courses presented over many years in applied mathematics for engineering students (all problem sets and exam questions given for the course(s) are included along with a solution manual) Provides fundamental theory for applied mathematics while also introducing the application of commercial software packages as modern tools for engineering application, including: EXCEL (statistical analysis); MAPLE (symbolic and numeric computing environment); and COMSOL (finite element solver for ordinary and partial differential equations)

Fundamentals of Advanced Mathematics 1

Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081021127
Total Pages : 268 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Fundamentals of Advanced Mathematics 1 by : Henri Bourles

Download or read book Fundamentals of Advanced Mathematics 1 written by Henri Bourles and published by Elsevier. This book was released on 2017-07-10 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. Part of the New Mathematical Methods, Systems, and Applications series Presents the notions, results, and proofs necessary to understand and master the various topics Provides a unified notation, making the task easier for the reader. Includes several summaries of mathematics for engineers

Fundamentals of Advanced Mathematics 2

Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081023855
Total Pages : 360 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Fundamentals of Advanced Mathematics 2 by : Henri Bourles

Download or read book Fundamentals of Advanced Mathematics 2 written by Henri Bourles and published by Elsevier. This book was released on 2018-02-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. Whereas the first volume focused on the formal conditions for systems of linear equations (in particular of linear differential equations) to have solutions, this book presents the approaches to finding solutions to polynomial equations and to systems of linear differential equations with varying coefficients. Fundamentals of Advanced Mathematics, Volume 2: Field Extensions, Topology and Topological Vector Spaces, Functional Spaces, and Sheaves begins with the classical Galois theory and the theory of transcendental field extensions. Next, the differential side of these theories is treated, including the differential Galois theory (Picard-Vessiot theory of systems of linear differential equations with time-varying coefficients) and differentially transcendental field extensions. The treatment of analysis includes topology (using both filters and nets), topological vector spaces (using the notion of disked space, which simplifies the theory of duality), and the radon measure (assuming that the usual theory of measure and integration is known). In addition, the theory of sheaves is developed with application to the theory of distributions and the theory of hyperfunctions (assuming that the usual theory of functions of the complex variable is known). This volume is the prerequisite to the study of linear systems with time-varying coefficients from the point-of-view of algebraic analysis and the algebraic theory of nonlinear systems. Present Galois Theory, transcendental field extensions, and Picard Includes sections on Vessiot theory, differentially transcendental field extensions, topology, topological vector spaces, Radon measure, differential calculus in Banach spaces, sheaves, distributions, hyperfunctions, algebraic analysis, and local analysis of systems of linear differential equations

Wavelets

Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 1000443469
Total Pages : 592 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Wavelets by : John J. Benedetto

Download or read book Wavelets written by John J. Benedetto and published by CRC Press. This book was released on 2021-07-28 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented. The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.

A Transition to Advanced Mathematics

Author : Douglas Smith
Publisher : Cengage Learning
ISBN 13 : 9780495562023
Total Pages : 416 pages
Book Rating : 4.5/5 (62 download)

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Book Synopsis A Transition to Advanced Mathematics by : Douglas Smith

Download or read book A Transition to Advanced Mathematics written by Douglas Smith and published by Cengage Learning. This book was released on 2010-06-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A TRANSITION TO ADVANCED MATHEMATICS helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving students' ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they'll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Advanced Mathematical Methods with Maple

Author : Derek Richards
Publisher : Cambridge University Press
ISBN 13 : 9780521779814
Total Pages : 884 pages
Book Rating : 4.7/5 (798 download)

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Book Synopsis Advanced Mathematical Methods with Maple by : Derek Richards

Download or read book Advanced Mathematical Methods with Maple written by Derek Richards and published by Cambridge University Press. This book was released on 2002 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: A user-friendly student guide to computer-assisted algebra with mathematical software packages such as Maple.

Advanced Engineering Mathematics with Modeling Applications

Author : S. Graham Kelly
Publisher : CRC Press
ISBN 13 : 1420009443
Total Pages : 540 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Advanced Engineering Mathematics with Modeling Applications by : S. Graham Kelly

Download or read book Advanced Engineering Mathematics with Modeling Applications written by S. Graham Kelly and published by CRC Press. This book was released on 2008-12-05 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers require a solid knowledge of the relationship between engineering applications and underlying mathematical theory. However, most books do not present sufficient theory, or they do not fully explain its importance and relevance in understanding those applications.Advanced Engineering Mathematics with Modeling Applications employs a balance

Modern Advanced Mathematics for Engineers

Author : Vladimir V. Mitin
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Modern Advanced Mathematics for Engineers by : Vladimir V. Mitin

Download or read book Modern Advanced Mathematics for Engineers written by Vladimir V. Mitin and published by Wiley-Interscience. This book was released on 2001-04-02 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A convenient single source for vital mathematical concepts, writtenby engineers and for engineers. Builds a strong foundation in modern applied mathematics forengineering students, and offers them a concise and comprehensivetreatment that summarizes and unifies their mathematical knowledgeusing a system focused on basic concepts rather than exhaustivetheorems and proofs. The authors provide several levels of explanation and exercisesinvolving increasing degrees of mathematical difficulty to recalland develop basic topics such as calculus, determinants, Gaussianelimination, differential equations, and functions of a complexvariable. They include an assortment of examples ranging fromsimple illustrations to highly involved problems as well as anumber of applications that demonstrate the concepts and methodsdiscussed throughout the book. This broad treatment also offers:*Key mathematical tools needed by engineers working incommunications, semiconductor device simulation, and control theory* Concise coverage of fundamental concepts such as sets, mappings,and linearity * Thorough discussion of topics such as distance,inner product, and orthogonality * Essentials of operatorequations, theory of approximations, transform methods, and partialdifferential equationsIt makes an excellent companion to lessgeneral engineering texts and a useful reference for practitioners.

Advanced Mathematics and Mechanics Applications Using MATLAB

Author : David Halpern
Publisher : CRC Press
ISBN 13 : 1420035444
Total Pages : 697 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Advanced Mathematics and Mechanics Applications Using MATLAB by : David Halpern

Download or read book Advanced Mathematics and Mechanics Applications Using MATLAB written by David Halpern and published by CRC Press. This book was released on 2002-09-17 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its introduction in 1984, MATLAB's ever-growing popularity and functionality have secured its position as an industry-standard software package. The user-friendly, interactive environment of MATLAB 6.x, which includes a high-level programming language, versatile graphics capabilities, and abundance of intrinsic functions, helps users focus on

Advanced Applications of Computational Mathematics

Author : Akshay Kumar
Publisher :
ISBN 13 : 9788770226059
Total Pages : pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Advanced Applications of Computational Mathematics by : Akshay Kumar

Download or read book Advanced Applications of Computational Mathematics written by Akshay Kumar and published by . This book was released on 2021-07-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book "Advanced Applications of Computational Mathematics" covers multidisciplinary studies containing advanced research in the field of computational and applied mathematics. The book includes research methodology, techniques, applications, and algorithms. The book will be very useful to advanced students, researchers and practitioners who are involved in the areas of computational and applied mathematics and engineering.

Advanced Calculus

Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus by : Lynn Harold Loomis

Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Advanced Mathematics

Author : Stanley J. Farlow
Publisher : John Wiley & Sons
ISBN 13 : 1119563534
Total Pages : 556 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Advanced Mathematics by : Stanley J. Farlow

Download or read book Advanced Mathematics written by Stanley J. Farlow and published by John Wiley & Sons. This book was released on 2019-10-02 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory Most universities require students majoring in mathematics to take a “transition to higher math” course that introduces mathematical proofs and more rigorous thinking. Such courses help students be prepared for higher-level mathematics course from their onset. Advanced Mathematics: A Transitional Reference provides a “crash course” in beginning pure mathematics, offering instruction on a blendof inductive and deductive reasoning. By avoiding outdated methods and countless pages of theorems and proofs, this innovative textbook prompts students to think about the ideas presented in an enjoyable, constructive setting. Clear and concise chapters cover all the essential topics students need to transition from the "rote-orientated" courses of calculus to the more rigorous "proof-orientated” advanced mathematics courses. Topics include sentential and predicate calculus, mathematical induction, sets and counting, complex numbers, point-set topology, and symmetries, abstract groups, rings, and fields. Each section contains numerous problems for students of various interests and abilities. Ideally suited for a one-semester course, this book: Introduces students to mathematical proofs and rigorous thinking Provides thoroughly class-tested material from the authors own course in transitioning to higher math Strengthens the mathematical thought process of the reader Includes informative sidebars, historical notes, and plentiful graphics Offers a companion website to access a supplemental solutions manual for instructors Advanced Mathematics: A Transitional Reference is a valuable guide for undergraduate students who have taken courses in calculus, differential equations, or linear algebra, but may not be prepared for the more advanced courses of real analysis, abstract algebra, and number theory that await them. This text is also useful for scientists, engineers, and others seeking to refresh their skills in advanced math.

Schaum's Outline of Advanced Mathematics for Engineers and Scientists

Author : Murray R. Spiegel
Publisher : McGraw Hill Professional
ISBN 13 : 0071702423
Total Pages : 417 pages
Book Rating : 4.0/5 (717 download)

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Book Synopsis Schaum's Outline of Advanced Mathematics for Engineers and Scientists by : Murray R. Spiegel

Download or read book Schaum's Outline of Advanced Mathematics for Engineers and Scientists written by Murray R. Spiegel and published by McGraw Hill Professional. This book was released on 2009-12-18 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's. More than 40 million students have trusted Schaum's Outlines to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you: Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

The Advanced Geometry of Plane Curves and Their Applications

Author : C. Zwikker
Publisher : Courier Corporation
ISBN 13 : 0486153436
Total Pages : 316 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Advanced Geometry of Plane Curves and Their Applications by : C. Zwikker

Download or read book The Advanced Geometry of Plane Curves and Their Applications written by C. Zwikker and published by Courier Corporation. This book was released on 2011-11-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Of chief interest to mathematicians, but physicists and others will be fascinated ... and intrigued by the fruitful use of non-Cartesian methods. Students ... should find the book stimulating." — British Journal of Applied Physics This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. Its wide coverage, which includes both algebraic and transcendental curves, extends to unusual properties of familiar curves along with the nature of lesser known curves. Informative discussions of the line, circle, parabola, ellipse, and hyperbola presuppose only the most elementary facts. The less common curves — cissoid, strophoid, spirals, the leminscate, cycloid, epicycloid, cardioid, and many others — receive introductions that explain both their basic and advanced properties. Derived curves-the involute, evolute, pedal curve, envelope, and orthogonal trajectories-are also examined, with definitions of their important applications. These range through the fields of optics, electric circuit design, hydraulics, hydrodynamics, classical mechanics, electromagnetism, crystallography, gear design, road engineering, orbits of subatomic particles, and similar areas in physics and engineering. The author represents the points of the curves by complex numbers, rather than the real Cartesian coordinates, an approach that permits simple, direct, and elegant proofs.

Advanced Mathematical Methods for Finance

Author : Julia Di Nunno
Publisher : Springer Science & Business Media
ISBN 13 : 364218412X
Total Pages : 532 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advanced Mathematical Methods for Finance by : Julia Di Nunno

Download or read book Advanced Mathematical Methods for Finance written by Julia Di Nunno and published by Springer Science & Business Media. This book was released on 2011-03-29 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents innovations in the mathematical foundations of financial analysis and numerical methods for finance and applications to the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Lévy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blend of topics gives an overview of the frontiers of mathematics for finance. New results, new methods and new models are all introduced in different forms according to the subject. Additionally, the existing literature on the topic is reviewed. The diversity of the topics makes the book suitable for graduate students, researchers and practitioners in the areas of financial modeling and quantitative finance. The chapters will also be of interest to experts in the financial market interested in new methods and products. This volume presents the results of the European ESF research networking program Advanced Mathematical Methods for Finance.

Advanced Engineering Mathematics

Author : Michael D. Greenberg
Publisher : Pearson Education India
ISBN 13 : 9788131767108
Total Pages : 256 pages
Book Rating : 4.7/5 (671 download)

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Book Synopsis Advanced Engineering Mathematics by : Michael D. Greenberg

Download or read book Advanced Engineering Mathematics written by Michael D. Greenberg and published by Pearson Education India. This book was released on 1998 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering. This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today's engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.