krainaksiazek differential equations methods and applications 20123748

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Applied Mathematics: Body and Soul - 2872014071

285,10 zł

Applied Mathematics: Body and Soul Springer-Verlag Berlin and Heidelberg GmbH & Co....

Książki / Literatura obcojęzyczna

Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. §The authors are leading researchers in Computational Mathematics who have written various successful books.Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. §Volume I (Derivatives and Geometry in R3) presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications.§Volume II (Integrals and Geometry in Rn) develops the Riemann integral as the solution to the problem of determining a function given its derivative, and proceeds to generalizations in the form of initial value problems for general systems of ordinary differential equations, including a variety of applications. Linear algebra including numerics is also presented.§Volume III (Calculus in Several Dimensions) presents Calculus in several variables including partial derivatives, multi-dimensional integrals, partial differential equations and finite element methods, together with a variety of applications modeled as systems of partial differential equations.§The authors are leading researchers in Computational Mathematics who have written various successful books.§Further information on Applied Mathematics: Body and Soul can be found at http://www.phi.chalmers.se/bodysoul/.

Sklep: Libristo.pl

Applied Mathematics: Body and Soul - 2875801580

335,65 zł

Applied Mathematics: Body and Soul Springer-Verlag Berlin and Heidelberg GmbH & Co....

Książki / Literatura obcojęzyczna

Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilitites of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. §The authors are leading researchers in Computational Mathematics who have written various successful books.Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. §Volume I (Derivatives and Geometry in R3) presents basics of Calculus starting with the construction of the natural, rational, real and complex numbers, and proceeding to analytic geometry in two and three space dimensions, Lipschitz continuous functions and derivatives, together with a variety of applications.§Volume II (Integrals and Geomtery in Rn) develops the Riemann integral as the solution to the problem of determining a function given its derivative, and proceeds to generalizations in the form of initial value problems for general systems of ordinary differential equations, including a variety of applications. Linear algebra including numerics is also presented.§Volume III (Calculus in Several Dimensions) presents Calculus in several variables including partial derivatives, multi-dimensional integrals, partial differential equations and finite element methods, together with a variety of applications modeled as systems of partial differential equations.§The authors are leading researchers in Computational Mathematics who have written various successful books.§Further information on Applied Mathematics: Body and Soul can be found at http://www.phi.chalmers.se/bodysoul/.

Sklep: Libristo.pl

Computational Physics - 2867150765

578,15 zł

Computational Physics Springer International Publishing AG

Książki / Literatura obcojęzyczna

This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained. Partial differential equations are treated generally comparing important methods, and equations of motion are solved by a large number of simple as well as more sophisticated methods. Several modern algorithms for quantum wavepacket motion are compared. The first part of the book discusses the basic numerical methods, while the second part simulates classical and quantum systems. Simple but non-trivial examples from a broad range of physical topics offer readers insights into the numerical treatment but also the simulated problems. Rotational motion is studied in detail, as are simple quantum systems. A two-level system in an external field demonstrates elementary principles from quantum optics and simulation of a quantum bit. Principles of molecular dynamics are shown. Modern boundary element methods are presented in addition to standard methods, and waves and diffusion processes are simulated comparing the stability and efficiency of different methods. A large number of computer experiments is provided, which can be tried out even by readers with no programming skills. Exercises in the applets complete the pedagogical treatment in the book. In the third edition Monte Carlo methods and random number generation have been updated taking recent developments into account. Krylov-space methods for eigenvalue problems are discussed in much more detail. The wavelet transformation method has been included as well as simple applications to continuum mechanics and convection-diffusion problems. Lastly, elementary quantum many-body problems demonstrate the application of variational and Monte-Carlo methods.

Sklep: Libristo.pl

Lectures on Vibrations - 2619309533

29,00 zł

Lectures on Vibrations Akademia Marynarki Wojennej

MECHANIKA

Owing to their flexibility, the components of structures and machinery are capable of relative motion when subjected to internal or external forces. If such motion is oscillatory in nature, the motion is referred to as vibration. Although applications exist where vibration performs a useful function, vibration in ships is undesirable as it tends to accelerate the wearing of parts such as bearings and gears, create excessive noise and transmit significant forces and/or motion to accommodation, working and recreation spaces as well as to other equipment. Humans may be exposed to vibrations transmitted to the whole body or to particular parts of the body, such as the head or limbs. Designers should primarily be concerned with vibrations transmitted to the body through supporting surfaces such as the buttocks or feet. Research shows that mechanical vibration interferes with work quality and productivity, safety, health, comfort, and causes motion sickness. The literature also shows that vibration may modify crewmember perception (e.g., reading text and instruments, depth perception), influence task control movements (e.g., tactile sense, head/hand movements, manual tracking) and lead to impairment of speech. These factors may result in increased crewmember reaction/response times and possibility of human error. There are many different sources of vibration in ships, such as propeller and stern wake, main engine and other machinery, wave loads and environmental effects. Due to the complexity of these sources of excitation and of the structural configuration of ships, harmful vibration problems still occur even though vibration prediction techniques have developed rapidly and are well established through the use of Finite Element Method software. Continuing research activities have shown that carrying out vibration control is a tend as well as requirement for ships and offshore structures. Also in many other engineering branches it is well known that the proper vibration control in the design process is necessary a safe and satisfactory working and living environment as well as to avoid abnormal wear and tear on the machinery and structures. Since vibration and noise disturb the surrounding medium, their levels should be low also from reason, particularly in submarines. The appropriately reduced acoustic emission and electromagnetic signature of submarines decrease a vessel

Sklep: Księgarnia Techniczna

Exterior Analysis - 2873612179

717,23 zł

Exterior Analysis Elsevier Books

Książki / Literatura obcojęzyczna

Exterior analysis uses differential forms (a mathematical technique) to analyze curves, surfaces, and structures. Exterior Analysis is a first-of-its-kind resource that uses applications of differential forms, offering a mathematical approach to solve problems in defining a precise measurement to ensure structural integrity. The book provides methods to study different types of equations and offers detailed explanations of fundamental theories and techniques to obtain concrete solutions to determine symmetry. It is a useful tool for structural, mechanical and electrical engineers, as well as physicists and mathematicians. It provides a thorough explanation of how to apply differential equations to solve real-world engineering problems. It helps researchers in mathematics, science, and engineering develop skills needed to implement mathematical techniques in their research. It includes physical applications and methods used to solve practical problems to determine symmetry.

Sklep: Libristo.pl

New Trends in Nanotechnology and Fractional Calculus - 2212846389

565,60 zł

New Trends in Nanotechnology and Fractional Calculus Springer Verlag

Dla dzieci

In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. This wide range of applications is of interest to engineers, physicists and mathematicians.Table of contentsPreface;New trends in nanotechnology: Novel Molecular Diodes Developed by Chemial Conjugation of Carbon Nanotubes with Peptide Nucleic Acid, by Krishna V. Singh, Miroslav Penchev, Xiaoye Jing, Alfredo A. Martinez-Morales, Cengiz S. Ozkan and Mihri Ozkan;Hybrid Single Walled Carbon Nanotube FETs for High Fidelity DNA Detection, by Xu Wang, Mihri Ozkan, Gurer Budak, Ziya B. Guvenc and Cengiz S. Ozkan;Towards integrated nanoelectronic and photonic devices, by Alexander Quandt, Maurizio Ferrari and Giancarlo C. Righini;New noninvasive methods for

Sklep: Albertus.pl

Engineering Mathematics I - 2867143470

866,57 zł

Engineering Mathematics I Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. In particular, it features mathematical methods and models of applied analysis, probability theory, differential equations, tensor analysis and computational modelling used in applications to important problems concerning electromagnetics, antenna technologies, fluid dynamics, material and continuum physics and financial engineering. The individual chapters cover both theory and applications, and include a wealth of figures, schemes, algorithms, tables and results of data analysis and simulation. Presenting new methods and results, reviews of cutting-edge research, and open problems for future research, they equip readers to develop new mathematical methods and concepts of their own, and to further compare and analyse the methods and results discussed. The book consists of contributed chapters covering research developed as a result of a focused international seminar series on mathematics and applied mathematics and a series of three focused international research workshops on engineering mathematics organised by the Research Environment in Mathematics and Applied Mathematics at M?lardalen University from autumn 2014 to autumn 2015: the International Workshop on Engineering Mathematics for Electromagnetics and Health Technology; the International Workshop on Engineering Mathematics, Algebra, Analysis and Electromagnetics; and the 1st Swedish-Estonian International Workshop on Engineering Mathematics, Algebra, Analysis and Applications. It serves as a source of inspiration for a broad spectrum of researchers and research students in applied mathematics, as well as in the areas of applications of mathematics considered in the book. ?

Sklep: Libristo.pl

Stochastic Calculus - 2875342860

404,19 zł

Stochastic Calculus Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book provides a comprehensive introduction to the theory of stochastic calculus and some of its applications. It is the only textbook on the subject to include more than two hundred exercises with complete solutions.After explaining the basic elements of probability, the author introduces more advanced topics such as Brownian motion, martingales and Markov processes. The core of the book covers stochastic calculus, including stochastic differential equations, the relationship to partial differential equations, numerical methods and simulation, as well as applications of stochastic processes to finance. The final chapter provides detailed solutions to all exercises, in some cases presenting various solution techniques together with a discussion of advantages and drawbacks of the methods used.Stochastic Calculus will be particularly useful to advanced undergraduate and graduate students wishing to acquire a solid understanding of the subject through the theory and exercises. Including full mathematical statements and rigorous proofs, this book is completely self-contained and suitable for lecture courses as well as self-study.

Sklep: Libristo.pl

Introduction to C++ for Financial Engineers - 2875232856

473,33 zł

Introduction to C++ for Financial Engineers Wiley-Blackwell

Książki / Literatura obcojęzyczna

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 contains a CD 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) Note: CD-ROM/DVD and other supplementary materials are not included as part of eBook file.

Sklep: Libristo.pl

Numerical Mathematics - 2878321701

462,27 zł

Numerical Mathematics Springer, Berlin

Książki / Literatura obcojęzyczna

Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions.§As such, numerical mathematics is the crossroad of several disciplines of great relevance in modern applied sciences, and can become a crucial tool for their qualitative and quantitative analysis.§One of the purposes of this book is to provide the mathematical foundations of numerical methods, to analyze their basic theoretical properties (stability, accuracy, computational complexity) and demonstrate their performances on examples and counterexamples which outline their pros and cons. This is done using the MATLAB software environment which is user-friendly and widely adopted. Within any specific class of problems, the most appropriate scientific computing algorithms are reviewed, their theoretical analyses are carried out and the expected results are verified on a MATLAB computer implementation. Every chapter is supplied with examples, exercises and applications of the discussed theory to the solution of real-life problems.§This book is addressed to senior undergraduate and graduate students with particular focus on degree courses in Engineering, Mathematics, Physics and Computer Sciences. The attention which is paid to the applications and the related development of software makes it valuable also for researchers and users of scientific computing in a large variety of professional fields.§In this second edition, the readability of pictures, tables and program headings have been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been added.

Sklep: Libristo.pl

Mathematics for Economics and Finance - 2847098584

244,90 zł

Mathematics for Economics and Finance Cambridge University Press

Książki / Literatura obcojęzyczna

Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.

Sklep: Libristo.pl

Mathematical Physics - 2876539339

359,47 zł

Mathematical Physics Springer International Publishing AG

Książki / Literatura obcojęzyczna

The goal of this book is to expose the reader to the indispensable role that mathematics---often very abstract---plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories.§This second edition is a substantial revision of the first one with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras and spinors, fiber bundles, and gauge theories. The spirit of the first edition, namely the balance between rigor and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics.§Einstein has famously said, "The most incomprehensible thing about nature is that it is comprehensible." What he had in mind was reiterated in another one of his famous quotes concerning the question of how " ... mathematics, being after all a product of human thought, is so admirably appropriate to the objects of reality." It is a question that comes to everyone's mind when encountering the highly abstract mathematics required for a deep understanding of modern physics. It is the experience that Eugene Wigner so profoundly described as "the unreasonable effectiveness of mathematics in the natural sciences."§Some praise for the previous edition:§PAGEOPH [Pure and Applied Geophysics]§Review by Daniel Wojcik, University of Maryland§"This volume should be a welcome addition to any collection. The book is well written and explanations are usually clear. Lives of famous mathematicians and physicists are scattered within the book. They are quite extended, often amusing, making nice interludes. Numerous exercises help the student practice the methods introduced. I have recently been using this book for an extended time and acquired a liking for it. Among all the available books treating mathematical methods of physics this one certainly stands out and assuredly it would suit the needs of many physics readers."§ZENTRALBLATT MATH§Review by G.Roepstorff, University of Aachen, Germany§" Unlike most existing texts with the same emphasis and audience, which are merely collections of facts and formulas, the present book is more systematic, self-contained, with a level of presentation that tends to be more formal and abstract. This entails proving a large number of theorems, lemmas, and corollaries, deferring most of the applications that physics students might be interested in to the example sections in small print. Indeed, there are 350 worked-out examples and about 850 problems. A very nice feature is the way the author intertwines the formalism with the life stories and anecdotes of some mathematicians and physicists, leading at their times. As is often the case, the historical view point helps to understand and appreciate the ideas presented in the text. For the physics student in the middle of his training, it will certainly prove to be extremely useful." §THE PHYSICIST §Review by Paul Davies, Orion Productions, Adelaide, Australia§"I am pleased to have so many topics collected in a single volume. All the tricks are there of course, but supported by sufficient rigour and substantiation to make the dedicated mathematical physicist sigh with delight."§EMS [EUROPEAN MATHEMATICAL SOCIETY] NEWSLETTER§"This book is a condensed exposition of the mathematics that is met in most parts of physics. The presentation attains a very good balance between the formal introduction of concepts, theorems and pr

Sklep: Libristo.pl

Computational Physics - 2878324426

320,57 zł

Computational Physics De Gruyter

Książki / Literatura obcojęzyczna

The author presents a broad range of research areas with applications using especially ordinary differential equations (ODE), and partial differential equations (PDE). Fundamental phenomena in classical mechanics and dynamic systems as well as effects in field theories, Monte Carlo methods in statistical physics, and hydrodynamics are discussed with numerous FORTRAN and MATLAB examples.

Sklep: Libristo.pl

Mathematical Analysis II - 2876338033

527,30 zł

Mathematical Analysis II Springer-Verlag Berlin and Heidelberg GmbH & Co....

Książki / Literatura obcojęzyczna

This second§English edition of a very popular two-volume work presents a thorough first§course in analysis, leading from real numbers to such advanced topics as§differential forms on manifolds; asymptotic methods; Fourier, Laplace, and§Legendre transforms; elliptic functions; and distributions. Especially notable§in this course are the clearly expressed orientation toward the natural§sciences and the informal exploration of the essence and the roots of the basic§concepts and theorems of calculus. Clarity of exposition is matched by a wealth§of instructive exercises, problems, and fresh applications to areas seldom§touched on in textbooks on real analysis.§The main§difference between the second and first English editions is the addition of a§series of appendices to each volume. There are six of them in the first volume§and five in the second. The subjects of these appendices are diverse. They are§meant to be useful to both students (in mathematics and physics) and teachers,§who may be motivated by different goals. Some of the appendices are surveys,§both prospective and retrospective. The final survey establishes important§conceptual connections between analysis and other parts of mathematics.§§This second volume§presents classical analysis in its current form as part of a unified§mathematics. It shows how analysis interacts with other modern fields of§mathematics such as algebra, differential geometry, differential equations,§complex analysis, and functional analysis. This book provides a firm foundation§for advanced work in any of these directions.§§

Sklep: Libristo.pl

Basic Algebra - 2871324150

816,02 zł

Basic Algebra Birkhauser Boston Inc

Książki / Literatura obcojęzyczna

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole.§Key topics and features of Basic Algebra:§Linear algebra and group theory build on each other continually§Chapters on modern algebra treat groups, rings, fields, modules, and Galois groups, with emphasis on methods of computation throughout§Three prominent themes recur and blend together at times: the analogy between integers and polynomials in one variable over a field, the interplay between linear algebra and group theory, and the relationship between number theory and geometry§Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems§The exposition proceeds from the particular to the general, often providing examples well before a theory that incorporates them; includes blocks of problems that introduce additional topics and applications for further study§Applications to science and engineering (e.g., the fast Fourier transform, the theory of error-correcting codes, the use of the Jordan canonical form in solving linear systems of ordinary differential equations, and constructions of interest in mathematical physics) appear in sequences of problems§Basic Algebra presents the subject matter in a forward-looking way that takes into account its historical development. It is suitable as a text in a two-semester advanced undergraduate or first-year graduate sequence in algebra, possibly supplemented by some material from Advanced Algebra at the graduate level. It requires of the reader only familiarity with matrix algebra, an understanding of the geometry and reduction of linear equations, and an acquaintance with proofs.

Sklep: Libristo.pl

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