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Nowości wydawnicze w matematyce Przedstawione poniżej nowości wydawnicze są jedynie wycinkiem oferty firmy SoftBooks. W celu potwierdzenia warunków cenowych prosimy o kontakt z firmą SoftBooks Oferowane pozycje: Methods of Nonlinear Analysis. Applications to Differential Equations Mathematical Analysis. Linear and Metric Structures and Continuity The Theory of Stochastic Processes III Modeling with Itô Stochastic Differential Equations A Concrete Approach to Mathematical Modelling Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications Free and Moving Boundaries: Analysis, Simulation and Control Stochastic Partial Differential Equations College Algebra LMSST: 24 Lectures on Elliptic Curves Do góry
	Methods of Nonlinear Analysis Applications to Differential Equations Series: Birkhäuser Advanced Texts / Basler Lehrbücher Drabek, Pavel, Milota, Jaroslav 2007, 580 p., Hardcover ISBN: 978-3-7643-8146-2 A Birkhäuser book Price: 69,90 EUR + shipping 8,00 EUR NASZA CENA: 279,00 PLN* * oferta cenowa w PLN zachowuje waznosc 21 dni od dnia 22.05.2007r.
About this textbook Designed as textbook for advanced undergraduate and graduate students and useful as handbook of nonlinear methods for scientists and engineers Exercises are an organic part of the exposition and accompany the reader throughout the book Accessible to beginners by avoiding too many technical details and keeping key assertions simple In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists. SPIS TRESCI DOSTEPNY NA ZYCZENIE W FORMIE PLIKU .PDF Do góry
	Mathematical Analysis Linear and Metric Structures and Continuity Volume package Mathematical Analysis Giaquinta, Mariano, Modica, Giuseppe 2007, XVIII, 465 p., 128 illus., Hardcover ISBN: 978-0-8176-4374-4 A Birkhäuser book Due: May 2007 Price: 128,00 EUR + shipping 8,00 EUR NASZA CENA: 489,00 PLN* * oferta cenowa w PLN zachowuje waznosc 21 dni od dnia 22.05.2007r.
About this textbook This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators. Mathematical Analysis: Linear and Metric Structures and Continuity motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, and Mathematical Analysis: Approximation and Discrete Processes. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis. Table of contents Preface.- Part I: Linear Algebra.- Vectors, Matrices and Linear Systems.- Vector Spaces and Linear Maps.- Euclidean and Hermitian Spaces.- Self-Adjoint Operators.- Part II: Metrics and Topology.- Metric Spaces and Continuous Functions.- Compactness and Connectedness.- Curves.- Some Topics from the Topology of Rn.- Part III.- Continuity in Infinite-Dimensional Spaces.- Spaces of Continuous functions, Banach Spaces and Abstract Equations.- Hilbert Spaces, Dirichlet’s Principle and Linear compact Operators.- Some Applications.- A. Mathematicians and Other Scientists.- B. Bibliographical Notes.- C. Index. Do góry
	The Theory of Stochastic Processes III Series: Classics in Mathematics Volume package The Theory of Stochastic Processes Gikhman, Iosif I., Skorokhod, Anatoli V. Originally published as Vol. 232 in the series: Grundlehren der mathematischen Wissenschaften Reprint of the 1st ed. Berlin Heidelberg New York 1979., 2007, VII, 387 p., Softcover ISBN: 978-3-540-49940-4 Price: 39,95 EUR + shipping 8,00 EUR NASZA CENA: 169,00 PLN* * oferta cenowa w PLN zachowuje waznosc 21 dni od dnia 22.05.2007r.
About this book This work presents the theory of stochastic processes in its present state of rich imperfection. To describe this work as encyclopedic does not give an accurate picture of its content and style. Some parts read like a textbook, but others are more technical and contain relatively new results. The exposition is robust and explicit, as one has come to expect of the Russian tradition of mathematical writing. The authors' display mastery of their material, and demonstrate their confident insight into its underlying structure. The set when completed will be an invaluable source of information and reference in this ever-expanding field. SPIS TRESCI DOSTEPNY NA ZYCZENIE W FORMIE PLIKU .PDF Do góry
	Modeling with Itô Stochastic Differential Equations Series: Mathematical Modelling: Theory and Applications , Vol. 22 Allen, Edward 2007, XII, 230 p., Hardcover ISBN: 978-1-4020-5952-0 Price: 69,95 EUR + shipping 8,00 EUR NASZA CENA: 285,00 PLN* * oferta cenowa w PLN zachowuje waznosc 21 dni od dnia 22.05.2007r.
About this book Dynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly varying system over a small time interval, a discrete stochastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito stochastic differential equation model for the dynamical system is obtained. This modeling procedure is thoroughly explained and illustrated for randomly varying systems in population biology, chemistry, physics, engineering, and finance. Introductory chapters present the fundamental concepts of random variables, stochastic processes, stochastic integration, and stochastic differential equations. These concepts are explained in a Hilbert space setting which unifies and simplifies the presentation. Computer programs, given throughout the text, are useful in solving representative stochastic problems. Analytical and computational exercises are provided in each chapter that complement the material in the text. Modeling with Itô Stochastic Differential Equations is useful for researchers and graduate students. As a textbook for a graduate course, prerequisites include probability theory, differential equations, intermediate analysis, and some knowledge of scientific programming. Table of contents Random Variables.- Stochastic Processes.- Stochastic Integration.- Stochastic Differential Equations.- Modeling{5.3.3} Ion transport.- References.- Basic Notation.- Index. Do góry
	A Concrete Approach to Mathematical Modelling Mike Mesterton-Gibbons ISBN: 978-0-470-17107-3 Paperback 620 pages June 2007 Price: 55,95 GBP + shipping 5,00 GBP NASZA CENA: 325,00 PLN* * oferta cenowa w PLN zachowuje waznosc 21 dni od dnia 22.05.2007r.
Critical praise for A Concrete Approach to Mathematical Modelling "...a treasure house of material for students and teachers alike...can be dipped into regularly for inspiration and ideas. It deserves to become a classic."--London Times Higher Education Supplement "The author succeeds in his goal of serving the needs of the undergraduate population who want to see mathematics in action, and the mathematics used is extensive and provoking."--SIAM Review "Each chapter discusses a wealth of examples ranging from old standards...to novelty ... Each model is developed critically, analyzed critically, and assessed critically."--Mathematical Reviews Mike Mesterton-Gibbons has done what no author before him could: he has written an in-depth, systematic guide to the art and science of mathematical modelling that's a great read from first page to last. With an abundance of both wit and common sense, he shows readers exactly how the modelling process works, using fascinating real-life examples from virtually every realm of human, machine, natural, and cosmic activity. You'll find models for determining how fast cars drive through a tunnel; how many workers industry should employ; the length of a supermarket checkout line; how birds should select worms; the best methods for avoiding an automobile accident; and when a barber should hire an assistant; just to name a few. Offering more examples, more detailed explanations, and by far, more sheer enjoyment than any other book on the subject, A Concrete Approach to Mathematical Modelling is the ultimate how-to guide for students and professionals in the hard sciences, social sciences, engineering, computers, statistics, economics, politics, business management, and every other discipline in which mathematical modelling plays a role. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department. Do góry
	Method of Averaging for Differential Equations on an Infinite Interval: Theory and Applications Vladimir Burd Yaroslavl State University, Yaroslavl, Russia Series: Lecture Notes in Pure and Applied Mathematics Volume: 255 ISBN: 9781584888741 ISBN 10: 1584888741 Publication Date: 3/19/2007 Number of Pages: 360 Price: 97,00 GBP + shipping 5,00 GBP NASZA CENA: 539,00 PLN* * oferta cenowa w PLN zachowuje waznosc 21 dni od dnia 22.05.2007r.
* Introduces periodic and almost periodic functions * Applies the theory to a parametric resonance problem and the construction of asymptotics for LDEs with oscillatory decreasing coefficients * Presents the results of the stabilization of Chelomei's pendulum and a pendulum with slowly decreasing oscillations of the pivot * Provides exercises that help with the study of applied problems * Contains useful facts about almost periodic functions, stability theory, and functional analysis in the appendices In recent years, mathematicians have detailed simpler proofs of known theorems, have identified new applications of the method of averaging, and have obtained many new results of these applications. Encompassing these novel aspects, Method of Averaging of the Infinite Interval: Theory and Applications rigorously explains the modern theory of the method of averaging and provides a solid understanding of the results obtained when applying this theory. The book starts with the less complicated theory of averaging linear differential equations (LDEs), focusing on almost periodic functions. It describes stability theory and Shtokalo's method, and examines various applications, including parametric resonance and the construction of asymptotics. After establishing this foundation, the author goes on to explore nonlinear equations. He studies standard form systems in which the right-hand side of a system is proportional to a small parameter and proves theorems similar to Banfi's theorem. The final chapters are devoted to systems with a rapidly rotating phase. Covering an important asymptotic method of differential equations, this book provides a thorough understanding of the method of averaging theory and its resulting applications. Table of Contents PREFACE AVERAGING OF LINEAR DIFFERENTIAL EQUATIONS Periodic and Almost Periodic Functions. Brief Introduction Bounded Solutions Lemmas on Regularity and Stability Parametric Resonance in Linear Systems Higher Approximations. Shtokalo Method Linear Differential Equations with Fast and Slow Time Asymptotic Integration Singularly Perturbed Equations AVERAGING OF NONLINEAR SYSTEMS Systems in Standard Form. First Approximation Systems in Standard Form. First Examples Pendulum Systems with an Oscillating Pivot Higher Approximations of the Method of Averaging Averaging and Stability Systems with a Rapidly Rotating Phase Systems with a Fast Phase. Resonant Periodic Oscillations Systems with Slowly Varying Parameters APPENDICES Almost Periodic Functions Stability of the Solutions of Differential Equations Some Elementary Facts from the Functional Analysis REFERENCES INDEX Do góry
	Free and Moving Boundaries: Analysis, Simulation and Control Roland Glowinski University of Houston, Texas, USA Jean-Paul Zolesio INRIA , Sophia Antipolis, France Series: Lecture Notes in Pure and Applied Mathematics Volume: 252 ISBN: 9781584886068 ISBN 10: 1584886064 Publication Date: 6/4/2007 Number of Pages: 472 Price: 97,00 GBP + shipping 5,00 GBP NASZA CENA: 539,00 PLN* * oferta cenowa w PLN zachowuje waznosc 21 dni od dnia 22.05.2007r.
* Emphasizes numerical and theoretical control of moving boundaries * Explores the problems of optimal control theory applied to partial differential equations arising from continuum mechanics * Addresses boundary variation and control, dynamical control of geometry, optimization, and inverse problems * Presents numerical simulation of suspensions, liquids, and shape gradients * Discusses boundary conditions, including Neumann, Dirichlet, and Robin Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations. With contributions from international experts, the book emphasizes numerical and theoretical control of moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, family of moving geometries, and boundary control. Using numerical analysis, the contributors examine the problems of optimal control theory applied to partial differential equations arising from continuum mechanics. The book presents several applications to electromagnetic devices, flow, control, computing, images analysis, topological changes, and free boundaries. It specifically focuses on the topics of boundary variation and control, dynamical control of geometry, optimization, free boundary problems, stabilization of structures, controlling fluid-structure devices, electromagnetism 3D, and inverse problems arising in areas such as biomathematics. Free and Moving Boundaries: Analysis, Simulation and Control explains why the boundary control of physical systems can be viewed as a moving boundary control, empowering the future research of select algebraic areas. Table of Contents Optimal Tubes: Geodesic Metric, Euler Flow, Moving Domain J.P. Zolésio Numerical Simulation of Pattern Formation in a Rotating Suspension of Non-Brownian Settling Particles Tsorg-Whay Pan and Roland Glowinski On the Homogenization of Optimal Control Problems on Periodic Graphs P.I. Kogut and G. Leugering Lift and Sedimentation of Particles in the Flow of a Viscoelastic Liquid in a Channel G.P. Galdi and V. Heuveline Modeling and Simulation of Liquid-Gas Free Surface Flows A. Caboussat, M. Picasso, and J. Rappaz Transonic Regular Reflection for the Unsteady Transonic Small Disturbance Equation Detail of the Subsonic Solution K. Jegdic, B.L. Keyfitz, and S. Canic Shape Optimization for 3D Electrical Impedance Tomography K. Eppler and H. Harbrecht Analysis of the Shape Gradient in Inverse Scattering P. Dubois and J.P. Zolésio Array Antenna Optimization L. Blanchard and J.P. Zolésio The Stokes Basis for 3D Incompressible Flow Fields G. Auchmuty Nonlinear Aeroelasticity: Continuum Theory-Flutter/Divergence Speed, Plate Wing Model A.V. Balakrishnan Differential Riccati Equations for the Bolza Problem Associated with Point Boundary Control of Singular Estimate Control Systems I. Lasiecka and A. Tuffaha Energy Decay Rates for the Semilinear Wave Equation with Nonlinear Localized Damping and Source Terms-An Intrinsic Approach I. Lasiecka and D. Toundykov Electromagnetic 3D Reconstruction by Level-Set with Zero Capacity Connecting Sets C. Dedeban, P. Dubois, and J.P. Zolésio Shape and Geometric Methods in Image Processing M. Dehaes and M. Delfour Topological Derivatives for Contact Problems J. Sokolowski and A. Zochowski The Computing Zoom J. Henry An Optimization Approach for the Delamination of a Composite Material with Non-Penetration M. Hintermuller, V.A. Kovtunenko, and K. Kunish Adaptive Refinement Techniques in Homogenization Design Method R.H.W. Hoppe and S.I. Petrova Nonlinear Stability of the Flat-Surface State in Faraday Experiment G. Guidoboni A Dynamical Programming Approach in Hilbert Spaces for a Family of Applied Delay Optimal Control Problems Giorgio Fabbri A Posteriori Error Estimates of Recovery Type for Parameter Estimation Problem in Linear Elastic Problem T. Feng, M. Gulliksson, and W. Liu Tube Derivative of Non-Cylindrical Shape Functionals and Variational Formulations R. Dziri and J.P. Zolésio A Stochastic Riccati Equation for a Hyperbolic-Like System with Point and/or Boundary Control C. Hafizoglu Do góry
	Stochastic Partial Differential Equations Pao-Liu Chow Wayne State University, Detroit, Michigan, USA Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science Volume: 11 ISBN: 9781584884439 ISBN 10: 1584884436 Publication Date: 3/19/2007 Number of Pages: 281 Price: 44,99 GBP + shipping 5,00 GBP NASZA CENA: 265,00 PLN* * oferta cenowa w PLN zachowuje waznosc 21 dni od dnia 22.05.2007r.
* Reviews fundamental facts about stochastic processes and stochastic differential equations in the first chapter to provide the proper foundation for the remainder of the book * Employs eigenfunction expansions, Green's functions, and Fourier transforms to study stochastic transport, heat, and wave equations * Shows how concrete results lead to the investigation of stochastic evolution equations in a Hilbert space * Proves the general theorems on existence, uniqueness, and regularity of solutions and applies them to the study of asymptotic behavior of solutions * Includes practical examples to illustrate applications of the existence theorems As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the void of an introductory text in the field, Stochastic Partial Differential Equations introduces PDEs to students familiar with basic probability theory and Itô's equations, highlighting several computational and analytical techniques. Without assuming specific knowledge of PDEs, the text includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes a few applied problems, including the random vibration of a nonlinear elastic beam and invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis. By thoroughly covering the concepts and applications of stochastic PDEs at an introductory level, this text provides a guide to current research topics and lays the groundwork for further study. Table of Contents PREFACE PRELIMINARIES Introduction Some Examples Brownian Motions and Martingales Stochastic Integrals Stochastic Differential Equations Comments SCALAR EQUATIONS OF FIRST ORDER Introduction Generalized Itô's Formula Linear Stochastic Equations Quasilinear Equations General Remarks STOCHASTIC PARABOLIC EQUATIONS Introduction Preliminaries Solution of Random Heat Equation Linear Equations with Additive Noise Some Regularity Properties Random Reaction-Diffusion Equations Parabolic Equations with Gradient-Dependent Noise STOCHASTIC PARABOLIC EQUATIONS IN THE WHOLE SPACE Introduction Preliminaries Linear and Similinear Equations Feynman-Kac Formula Positivity of Solutions Correlation Functions of Solutions STOCHASTIC HYPERBOLIC EQUATIONS Introduction Preliminaries Wave Equation with Additive Noise Semilinear Wave Equations Wave Equations in Unbounded Domain Randomly Perturbed Hyperbolic Systems STOCHASTIC EVOLUTION EQUATIONS IN HILBERT SPACES Introduction Hilbert Space-Valued Martingales Stochastic Integrals in Hilbert Spaces Itô's Formula Stochastic Evolution Equations Mild Solutions Strong Solutions Stochastic Evolution Equations of Second Order ASYMPTOTIC BEHAVIOR OF SOLUTIONS Introduction Itô's Formula and Lyapunov Functionals Boundedness of Solutions Stability of Null Solution Invariant Measures Small Random Perturbation Problems Large Deviations Problems FURTHER APPLICATIONS Introduction Stochastic Burgers and Related Equations Random Schrödinger Equation Nonlinear Stochastic Beam Equations Stochastic Stability of Cahn-Hilliard Equation Invariant Measures for Stochastic Navier-Stokes Equations DIFFUSION EQUATIONS IN INFINITE DIMENSIONS Introduction Diffusion Processes and Kolmogorov Equations Gauss-Sobolev Spaces Ornstein-Uhlenbeck Semigroup Parabolic Equations and Related Elliptic Problems Characteristic Functionals and Hopf Equations REFERENCES INDEX Do góry
	College Algebra Henry Burchard Fine ISBN-10: 0-8218-3863-6 ISBN-13: 978-0-8218-3863-1 Publication date: 17 November 2005 American Mathematical Society 631 pages, mm Series: AMS Chelsea Publishing CENA: 219,00 PLN
Description At the beginning of the twentieth century, college algebra was taught differently than it is nowadays. There are many topics that are now part of calculus or analysis classes. Other topics are covered only in abstract form in a modern algebra class on field theory. Fine's College Algebra offers the reader a chance to learn the origins of a variety of topics taught in today's curriculum, while also learning valuable techniques that, in some cases, are almost forgotten. In the early 1900s, methods were often emphasized, rather than abstract principles. In this book, Fine includes detailed discussions of techniques of solving quadratic and cubic equations, as well as some discussion of fourth-order equations. There are also detailed treatments of partial fractions, the method of undetermined coefficients, and synthetic division. The book is ostensibly an algebra book; however, it covers many topics that are found throughout today's curriculum: calculus and analysis: infinite series, partial fractions, undetermined coefficients, properties of continuous functions, number theory: continued fractions, probability: basic results in probability. Though the book is structured as a textbook, modern mathematicians will find it a delight to dip into. There are many gems that have been overlooked by today's emphasis on abstraction and generality. By revisiting familiar topics, such as continued fractions or solutions of polynomial equations, modern readers will enrich their knowledge of fundamental areas of mathematics, while gaining concrete methods for working with their modern incarnations. The book is suitable for undergraduates, graduate students, and researchers interested in algebra. Readership: Undergraduates, graduate students, and research mathematicians interested in algebra. Contents Subtraction and the negative Division and fractions Irrational numbers The imaginary and complex numbers The fundamental operations Simple equations in one unknown letter Systems of simultaneous simple equations The division transformation Factors of rational integral expressions Highest common factor and lowest common multiple Rational fractions Symmetric functions The binomial theorem Evolution Irrational functions. Radicals and fractional exponents Quadratic equations A discussion of the quadratic equation. Maxima and minima Equations of higher degree which can be solved by means of quadratics Simultaneous equations which can be solved by means of quadratics Inequalities Indeterminate equations of the first degree Ratio and proportion. Variation Arithmetical progression Geometrical progression Harmonical progression Method of differences. Arithmetical progressions of higher orders. Interpolation Logarithms Permutations and combinations The multinomial theorem Probability Mathematical induction Theory of equations The general cubic and biquadratic equations Determinants and elimination Convergence of infinite series Operations with infinite series The binomial, exponential, and logarithmic series Recurring series Infinite products Continued fractions Properties of continuous functions Answers Index Do góry
	LMSST: 24 Lectures on Elliptic Curves Series: London Mathematical Society Student Texts (No. 24) J. W. S. Cassels University of Cambridge Paperback (ISBN-13: 9780521425308 \| ISBN-10: 0521425301) CENA: 83,00 PLN
The study of (special cases of) elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centres of research in number theory. This book, which is addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Weil finite basis theorem, points of finite order (Nagell-Lutz) etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the 'Riemann hypothesis for function fields') and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch, as is the little that is needed on Galois cohomology. Many examples and exercises are included for the reader. For those new to elliptic curves, whether they are graduate students or specialists from other fields, this will be a fine introductory text. • Fully class tested (based on a Cambridge course) Contents Introduction; 1. Curves of genus: introduction; 2. p-adic numbers; 3. The local-global principle for conics; 4. Geometry of numbers; 5. Local-global principle: conclusion of proof; 6. Cubic curves; 7. Non-singular cubics: the group law; 8. Elliptic curves: canonical form; 9. Degenerate laws; 10. Reduction; 11. The p-adic case; 12. Global torsion; 13. Finite basis theorem: strategy and comments; 14. A 2-isogeny; 15. The weak finite basis theorem; 16. Remedial mathematics: resultants; 17. Heights: finite basis theorem; 18. Local-global for genus principle; 19. Elements of Galois cohomology; 20. Construction of the jacobian; 21. Some abstract nonsense; 22. Principle homogeneous spaces and Galois cohomology; 23. The Tate-Shafarevich group; 24. The endomorphism ring; 25. Points over finite fields; 26. Factorizing using elliptic curves; Formulary; Further reading; Index. Do góry