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An Introduction to Lebesgue Integration and Fourier Series
ISBN: 9780486682938 / Angielski / Miękka / 159 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects. This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate t... |
cena:
61,47 |
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Advanced Calculus of Several Variables
ISBN: 9780486683362 / Angielski / Miękka / 478 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this high-level treatment, the author provides a modern conceptual approach to multivariable calculus, emphasizing the interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. At the same time, the book gives equal attention to the classical applications and computational methods responsible for much of the interest and importance of this subject. In this high-level treatment, the author provides a modern conceptual approach to multivariable calculus, emphasizing the interplay of geometry and... |
cena:
115,42 |
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Mathematics for Physicists
ISBN: 9780486691930 / Angielski / Miękka / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "A fine example of how to present 'classical' physical mathematics." -- American Scientist "A fine example of how to present 'classical' physical mathematics." -- American Scientist |
cena:
115,61 |
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Aspects of Sobolev-Type Inequalities
ISBN: 9780521006071 / Angielski / Miękka / 202 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book focuses on Poincare, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemannian manifolds. Applications covered include the ultracontractivity of the heat diffusion semigroup, Gaussian heat kernel bounds, the Rozenblum-Lieb-Cwikel inequality and elliptic and parabolic Harnack inequalities. Emphasis is placed on the role of families of local Poincare and Sobolev inequalities. The text provides the first self contained account of the equivalence between the uniform parabolic Harnack inequality, on the one hand, and the...
This book focuses on Poincare, Nash and other Sobolev-type inequalities and their applications to the Laplace and heat diffusion equations on Riemanni...
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cena:
219,73 |
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Lebesgue Integration and Measure
ISBN: 9780521097512 / Angielski / Miękka / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length,...
Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now ...
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cena:
284,70 |
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Mathematical Methods for the Physical Sciences: An Informal Treatment for Students of Physics and Engineering
ISBN: 9780521098397 / Angielski / Miękka / 552 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Many students of physical and applied science and of engineering find difficulty in copying with the mathematics necessary for the quantitative manipulation of the physical concepts they are atudying in their main course. This book is designed to help first and second year under-graduates at universities and polytechnics, as well as technical college students, to find their feet in the important mathematical methods they will need. Throughout the text the physical relevance of the mathematics is constantly stressed and, where it is helpful, use has been made of pictorial mathematics and...
Many students of physical and applied science and of engineering find difficulty in copying with the mathematics necessary for the quantitative manipu...
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cena:
594,52 |
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Introductory Mathematics Through Science Applications
ISBN: 9780521284462 / Angielski / Miękka / 560 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Covering the basic mathematics taught to first year students of science and engineering, this textbook reflects the growing awareness that ancillary mathematics should not be taught in isolation from its applications. Topics covered include calculus, ordinary and partial differential equations, and statistics. Each chapter starts with two or three examples setting the new techniques to be studied in the context of the scientific world; the mathematics is then presented, along with worked examples. Numerical methods are integrated with analytical techniques where appropriate.
Covering the basic mathematics taught to first year students of science and engineering, this textbook reflects the growing awareness that ancillary m...
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cena:
303,26 |
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Several Complex Variables and Complex Manifolds II
ISBN: 9780521288880 / Angielski / Miękka / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole should be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The...
This relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synth...
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cena:
252,21 |
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Mathematical Methods in Electrical Engineering
ISBN: 9780521306614 / Angielski / Twarda / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this volume, the author covers the mathematical methods appropriate to both linear-systems theory and signal processing. The text deals with a number of topics usually found in introductory linear-systems courses, such as complex numbers and Laplace transforms, and addresses additional topics such as complex variable theory and Fourier series and transforms. Although the discussion is mathematically self-contained, it assumes that the reader has a firm background in calculus and differential equations. Each chapter contains a number of worked examples plus exercises designed to allow the...
In this volume, the author covers the mathematical methods appropriate to both linear-systems theory and signal processing. The text deals with a numb...
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cena:
563,09 |
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Functional Equations in Several Variables
ISBN: 9780521352765 / Angielski / Twarda / 480 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioral, and social sciences. The authors emphasize applications, although not at the expense of theory, and have kept the prerequisites to a minimum; the reader should be familiar with calculus and some simple structures of algebra and have a basic knowledge of Lebesque integration. For the applications the authors have included references and explained the results used. The book is designed so that the chapters may be read almost independently...
Deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, beha...
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cena:
688,37 |
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Spectral Analysis for Physical Applications
ISBN: 9780521355322 / Angielski / Twarda / 612 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an up-to-date introduction to univariate spectral analysis aimed at graduate students, which reflects a new scientific awareness of spectral complexity, as well as the widespread use of spectral analysis on digital computers with considerable computational power. The text provides theoretical and computational guidance on the available techniques, emphasizing those that work in practice. It gives equal weight to both algorithms and statistical theory and is valuable for the many examples it gives showing the application of spectral analysis to real data sets. The book is unique...
This book is an up-to-date introduction to univariate spectral analysis aimed at graduate students, which reflects a new scientific awareness of spect...
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cena:
976,05 |
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Iterative Functional Equations
ISBN: 9780521355612 / Angielski / Twarda / 576 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in research literature, making this an essential volume for all those working in functional equations and in such areas as dynamical systems and chaos, to which the theory is closely related. The authors introduce the reader to the theory and then explore the most recent developments and general results. Fundamental notions such as the existence and uniqueness of solutions to the equations are stressed throughout, as are applications of the theory...
A cohesive and comprehensive account of the modern theory of iterative functional equations. Many of the results included have appeared before only in...
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cena:
771,90 |
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The Development of Newtonian Calculus in Britain, 1700-1800
ISBN: 9780521364669 / Angielski / Twarda / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Guicciardini presents a comprehensive survey of both the research and teaching of Newtonian calculus, the calculus of "fluxions," over the period between 1700 and 1810. Although Newton was one of the inventors of calculus, the developments in Britain remained separate from the rest of Europe for over a century. While it is usually maintained that after Newton there was a period of decline in British mathematics, the author's research demonstrates that the methods used by researchers of the period yielded considerable success in laying the foundations and investigating the applications of the...
Guicciardini presents a comprehensive survey of both the research and teaching of Newtonian calculus, the calculus of "fluxions," over the period betw...
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cena:
586,30 |
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An Introduction to Hankel Operators
ISBN: 9780521367912 / Angielski / Miękka / 112 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.
Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.
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cena:
229,29 |
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Volterra Integral and Functional Equations
ISBN: 9780521372893 / Angielski / Twarda / 724 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engineering and biology. This text shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential equations. The book is divided into three parts. The first considers linear theory and the second deals with quasilinear equations and existence problems for nonlinear equations, giving some general asymptotic results. Part III is devoted to frequency domain methods in the study of...
The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engin...
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cena:
827,57 |
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The Technique of Pseudodifferential Operators
ISBN: 9780521378642 / Angielski / Miękka / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses "Leibniz' formulas" with integral remainders or as asymptotic series. A pseudodifferential operator may also be described by invariance under action of a Lie-group. The author discusses connections to the theory of C*-algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution, and the relation of the hyperbolic theory to the propagation of maximal ideals.
This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatm...
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cena:
298,62 |
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Regular Variation
ISBN: 9780521379434 / Angielski / Miękka / 516 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Both the theory and applications of regular variation are given comprehensive coverage in this volume. In many limit theorems, regular variation is intrinsic to the result and exactly characterizes the limit behavior. The book emphasizes such characterizations, and gives a comprehensive treatment of those applications where regular variation plays an essential (rather than merely convenient) role. The authors rigorously develop the basic ideas of Karamata theory and de Haan theory including many new results and "second-order" theorems. They go on to discuss the role of regular variation in...
Both the theory and applications of regular variation are given comprehensive coverage in this volume. In many limit theorems, regular variation is in...
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cena:
456,37 |
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Fixed Point Theorems with Applications to Economics and Game Theory
ISBN: 9780521388085 / Angielski / Miękka / 140 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it is asked under what circumstances such equilibrium is possible. The fundamental mathematical tools used to address this concern are fixed point theorems: the conditions under which sets of assumptions have a solution. This book gives the reader access to the mathematical techniques involved and goes on to apply fixed point theorems to proving the existence...
One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in ...
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cena:
233,66 |
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Ergodic Theory
ISBN: 9780521389976 / Angielski / Miękka / 344 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The author presents the fundamentals of the ergodic theory of point transformations and several advanced topics of intense research. The study of dynamical systems forms a vast and rapidly developing field even when considering only activity whose methods derive mainly from measure theory and functional analysis. Each of the basic aspects of ergodic theory--examples, convergence theorems, recurrence properties, and entropy--receives a basic and a specialized treatment. The author's accessible style and the profusion of exercises, references, summaries, and historical remarks make this a...
The author presents the fundamentals of the ergodic theory of point transformations and several advanced topics of intense research. The study of dyna...
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cena:
326,46 |
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Heat Kernels and Spectral Theory
ISBN: 9780521409971 / Angielski / Miękka / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory of second-order elliptic operators. While the study of the heat equation is a classical subject, this book analyses the improvements in our quantitative understanding of heat kernels. The author considers variable coefficient operators on regions in Euclidean space and Laplace-Beltrami operators on complete Riemannian manifolds. He also includes results pertaining to the heat kernels of Schrodinger operators; such results will be of particular interest to...
An advanced monograph on a central topic in the theory of differential equations, Heat Kernels and Spectral Theory investigates the theory of second-o...
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cena:
325,58 |