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- Highlights (Analysis) 13 springer.com
- Mathematical Principles of Signal Processing: Fourier and Wavelet Analysis
- Modern Fourier Analysis, 2e
- Highlights (Analysis) springer.com 14
- A Course in Enumeration
- A Course on Mathematical Logic
- Highlights (Application of Mathematics) 15 springer.com
- Financial Markets Theory: Equilibrium, Efficiency and Information
- Game Theory: Decisions, Interaction and Evolution
- Highlights (Application of Mathematics) springer.com 16
- Introductory Operations Research: Theory and Applications
- Linear Programming and its Applications
- Highlights (Application of Mathematics) 17 springer.com
- MATLAB Codes for Finite Element Analysis: Solids and Structures
- Notes on Set Theory, 2e
- Highlights (Application of Mathematics) springer.com 18
- Numerical Optimization, 2e
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Contents The Set of Real Numbers - Continuity - Differentiation - Integration - Applications - Solutions - References - Index.
Jack K. Hale, Georgia Institute of Technology, Atlanta, GA, USA Sjoerd M. Verduyn Lunel, University of Amsterdam, The Netherlands
The present book builds upon the earlier work of J. Hale, 'Theory of Functional Differential Equations' published in 1977. The authors have attempted to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a completely new presentation of linear systems (Chapter 6-9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global attractors was thoroughly revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits. A more complete theory of neutral equations is presented (Chapters 1,2,3,9,10). Chapter 12 is also entirely new and contains a guide to active topics of research. In the sections on supplementary remarks, the authors have included many references to recent literature, but, of course, not nearly all, because the subject is so extensive. Contents Preface - Introduction - 1. Linear differential difference equations - 2. Functional differential equations: Basic theory - 3. Properties of the solution map - 4. Autonomous and periodic processes - 5. Stability theory - 6. General linear systems - 7. Linear autonomous equations - 8. Periodic systems - 9. Equations of neutral type - 10. Near equilibrium and periodic orbits - 11. Periodic solutions of autonomous equations - 12. Additional topics - Appendix: Stability of characteristic equations - Bibliography - Index - List of Symbols. ISBN: 9788132204824 Page: X, 342 p. 65 illus. Price: ` 429.00
Market: Open Reprint Year: Nov-11 ISBN: 9788132204039 Page: X, 464 p. 10 illus. Price: ` 549.00
Market: Open Reprint Year: Oct-11 Highlights (Analysis) 13 springer.com Prices are subject to change without prior notice Mathematics and Statistics These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. Mathematical Principles of Signal Processing: Fourier and Wavelet Analysis Pierre Bremaud, Ecole Polytechnique Federale de Lausanne, Switzerland About the Book Fourier analysis is one of the most useful tools in many applied sciences. The recent developments of wavelet analysis indicates that in spite of its long history and well-established applications, the field is still one of active research. This text bridges the gap between engineering and mathematics, providing a rigorously mathematical introduction of Fourier analysis, wavelet analysis and related mathematical methods, while emphasizing their uses in signal processing and other applications in communications engineering. The interplay between Fourier series and Fourier transforms is at the heart of signal processing, which is couched most naturally in terms of the Dirac delta function and Lebesgue integrals. The exposition is organized into four parts. The first is a discussion of one-dimensional Fourier theory, including the classical results on convergence and the Poisson sum formula. The second part is devoted to the mathematical foundations of signal processing - sampling, filtering, digital signal processing. Fourier analysis in Hilbert spaces is the focus of the third part, and the last part provides an introduction to wavelet analysis, time-frequency issues, and multiresolution analysis. An appendix provides the necessary background on Lebesgue integrals. Contents Fourier Analysis in L1: Fourier Transforms of Stable Signals - Fourier Series of Locally Stable Periodic Signals - Pointwise Convergence of Fourier Series - Signal Processing: Filtering - Sampling - Digital Signal Processing - Subband Coding: Fourier Analysis in l2 - Hilbert Spaces - Complete Orthonormal Systems - Fourier Transforms of Finite Energy Signals - Fourier Series of Finite Power Periodic Signals - Wavelet Analysis: The Windowed Fourier Transform - The Wavelet Transform - Wavelet Orthonormal Expansions - Construction of a MRA - Smooth Multiresolution Analysis.
Loukas Grafakos, University of Missouri, Columbia, MO, USA About the Book The primary goal of these two volumes is to present the theoretical foundation of the field of Euclidean Harmonic analysis. The present edition contains a new chapter on time-frequency analysis and the Carleson-Hunt theorem. The first volume contains the classical topics such as Interpolation, Fourier Series, the Fourier Transform, Maximal Functions, Singular Integrals, and Littlewood-Paley Theory. The second volume contains more recent topics such as Function Spaces, Atomic Decompositions, Singular Integrals of Nonconvolution Type, and Weighted Inequalities. These volumes are mainly addressed to graduate students in mathematics and are designed for a two-course sequence on the subject with additional material included for reference. The prerequisites for the first volume are satisfactory completion of courses in real and complex variables. The second volume assumes material from the first. This book is intended to present the selected topics in depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. Contents Preface - Smoothness and Function Spaces - BMO and Carleson Measures - Singular Integrals of Nonconvolution Type - Weighted Inequalities - Boundedness and Convergence of Fourier Integrals - Time- Frequency Analysis and the Carleson-Hunt Theorem - Glossary - References - Index. ISBN: 9788132204831 Page: XII, 288 p. 47 illus.
Price: ` 369.00
Market: Open Reprint Year: Nov-11 ISBN: 9788132204084 Page: XV, 507 p. 27 illus.
Price: ` 569.00
Market: Open Reprint Year: Oct-11 Highlights (Analysis) springer.com 14 Mathematics and Statistics Prices are subject to change without prior notice These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. A Course in Enumeration Martin Aigner, Freie Universität Berlin, Germany About the Book Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject. The book is organized in three parts: Basics, Methods, and Topics. There are 666 exercises, and as a special feature every chapter ends with a highlight, discussing a particularly beautiful or famous result.
Introduction - Part I: Basics - Fundamental Coefficients - Formal Series and Infinite Matrices - Part II: Methods - Generating Functions - Hypergeometric Summation - Sieve Methods - Enumeration of Patterns - Part III: Topics - The Catalan Connection - Symmetric Functions - Counting Polynomials - Models from Statistical Physics - Solutions to Selected Exercises - Notation - Index.
Shashi Mohan Srivastava, Indian Statistical Institute, Kolkata, India About the Book This is a short, distinctive, modern, and motivated introduction to mathematical logic for senior undergraduate and beginning graduate students in mathematics and computer science. Any mathematician who is interested in knowing what logic is concerned with and who would like to learn Gödel’s incompleteness theorems should find this book particularly convenient. The treatment is thoroughly mathematical, and the entire subject has been approached like a branch of mathematics. Serious efforts have been made to make the book suitable for the classroom as well as for self-reading. The book does not strive to be a comprehensive encyclopedia of logic. Still, it gives essentially all the basic concepts and results in mathematical logic. The book prepares students to branch out in several areas of mathematics related to foundations and computability such as logic, axiomatic set theory, model theory, recursion theory, and computability. The main prerequisite for this book is the willingness to work at a reasonable level of mathematical rigor and generality. Contents Preface - Syntax of first order logic - Semantics of first-order languages - Propositional logic - Proof and metatheorems in first-order logic - Completeness theorem and model theory - Recursive functions and arithmetization of theories - Incompleteness theorems and recursion theory - References - Index. ISBN: 9788132206712 Page: X, 565 p. 55 illus. Price: ` 499.00
Market: Open Reprint Year: May-12 ISBN: 9788132206743 Page: X, 150 p. Price: ` 225.00
Market: Open Reprint Year: May-12 Highlights (Application of Mathematics) 15 springer.com Prices are subject to change without prior notice Mathematics and Statistics These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. Financial Markets Theory: Equilibrium, Efficiency and Information Emilio Barucci, Università di Pisa, Italy About the Book Financial Markets Theory presents classical asset pricing theory, a theory composed of milestones such as portfolio selection, risk aversion, fundamental asset pricing theorem, portfolio frontier, CAPM, CCAPM, APT, the Modigliani-Miller Theorem, no arbitrage/risk neutral evaluation and information in financial markets. Starting from an analysis of the empirical tests of the above theories, the author provides a discussion of the most recent literature, pointing out the main advancements within classical asset pricing theory and the new approaches designed to address open problems (e.g. behavioural finance). It is the only textbook to address the economic foundations of financial markets theory from a mathematically rigorous standpoint, and to offer a self-contained critical discussion, based on empirical results. Financial Markets Theory is an advanced book, well-suited for a first graduate course in financial markets, economics or financial mathematics. It is self-contained and introduces topics in a setting accessible to economists and practitioners equipped with a basic mathematical background. For those not acquainted with standard microeconomic theory, the tools needed to follow the analysis are presented early in the book. The approach makes this a vital handbook for practitioners in insurance, banking, investment funds and financial consultancy, as well as an excellent graduate-reference textbook.
Prerequisites - Choices under Risk - Stochastic Dominance, Mutual Funds Separation and Portfolio Frontier - General Equilibrium Theory and Risk Exchange - Risk Premium: Capital Asset Pricing Model and Asset Pricing Theory - Multiperiod Market Models - Information and Financial Markets - Uncertainty, Rationality, Heterogeneity - Financial Markets Microstructure - Corporate Finance - Intermediation and Regulation - References - Index. Game Theory: Decisions, Interaction and Evolution James N. Webb, Nottingham, UK About the Book This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it also contains material which will be of interest to advanced students or researchers in biology and economics. The outstanding feature of the book is that it provides a unified account of three types of decision problem: Situations involving a single decision-maker: in which a sequence of choices is to be made in 'a game against nature'. This introduces the basic ideas of optimality and decision processes. Classical game theory: in which the interactions of two or more decision-makers are considered. This leads to the concept of the Nash equilibrium. Evolutionary game theory: in which the changing structure of a population of interacting decision makers is considered. This leads to the ideas of evolutionarily stable strategies and replicator dynamics. An understanding of basic calculus and probability is assumed but no prior knowledge of game theory is required.
Part I: Decisions. Simple Decision Models - Simple Decision Processes - Markov Decision Processes. Part II: Interaction. Static Games - Finite Dynamic Games - Games with Continuous Strategy Sets - Infinite Dynamic Games. Part III: Evolution. Population Games - Replicator Dynamics. Part IV: Appendices - Constrained Optimisation - Dynamical Systems - Solutions to Exercises - Further Reading - Bibliography - Index.
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Price: ` 695.00
Market: Open Reprint Year: Feb-11 ISBN: 9788132204442 Page: X, 242 p. Price: ` 349.00
Market: Open Reprint Year: Nov-11 Highlights (Application of Mathematics) springer.com 16 Mathematics and Statistics Prices are subject to change without prior notice These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. Introductory Operations Research: Theory and Applications Harvir Singh Kasana, Thapar Institute of Engineering and Technology, Patiala, India Krishna Dev Kumar, Ryerson University, Toronto, Canada
This introductory text provides undergraduate and graduate students with a concise and practical introduction to the primary concepts and techniques of optimization. Practicing engineers and managers will also find useful its concentration on problems and examples relevant to them. With a strong emphasis on basic concepts and techniques throughout, the book explains the theory behind each technique as simply as possible, along with illustrations and worked examples. It gives a balanced treatment of both the linear and nonlinear programming, plus search techniques, geometric programming, and game theory. Some typical problems varying in difficulty level are solved so readers can appreciate intricacies of the underlying concepts useful for practical problem solving. Suitable for individual or group learning, the book also includes numerous end-of-chapter problems for study and review. Contents Formulation - Geometry of Linear Programming - The Simplex Algorithm - Advanced Linear Programming - Duality Theory - Sensitivity Analysis - Transportation Problems - Network Analysis - Project Management - Sequencing Problems - Integer Programming - Dynamic Programming - Nonlinear Programming - Search Techniques - Geometric Programming - Goal Programming - Games Theory - Special Topics.
H.A. Eiselt, University of New Brunswick, Fredericton, NB, Canada C.-L. Sandblom, Dalhousie University, Halifax, NS, Canada
This book presents a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications. The most important classes of problems are surveyed and presented by means of mathematical formulations, followed by solution methods and a discussion of a variety of 'what-if' scenarios. Non-simplex based solution methods and newer developments such as interior point methods are covered along with a variety of approaches that incorporate multiple objectives in the model.
Linear Algebra - Computational Complexity - Applications - The Simplex Method - Duality - Extensions of the Simplex Method - Postoptimality Analyses - Non-Simplex Based Solution Methods - Problem Reformulations - Multiobjective Programming. ISBN: 9788181282828 Page: XI, 581 p. 58 illus.
Price: ` 495.00
Market: BSP Reprint Year: Mar-05 ISBN: 9788132202547 Page: XIV, 380 p. 71 illus.
Price: ` 445.00
Market: Open Reprint Year: May-11 Highlights (Application of Mathematics) 17 springer.com Prices are subject to change without prior notice Mathematics and Statistics These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. MATLAB Codes for Finite Element Analysis: Solids and Structures A.J.M. Ferreira, Universidade do Porto Fac. Engenharia, Porto, Portugal About the Book This book illustrates how MATLAB compact and powerful programming framework can be very useful in the finite element analysis of solids and structures. The book shortly introduces finite element concepts and an extensive list of MATLAB codes for readers to use and modify. The book areas range from very simple springs and bars to more complex beams and plates in static bending, free vibrations and buckling problems. Contents Short introduction to MATLAB - Discrete Systems - Analysis of Bars - Analysis of 2D Trusses - Trusses in 3D Space - Bernoulli Beams - 2D Frames - Analysis of 3D Frames - Analysis of Grids - Analysis of Timoshenko Beams - Plane Stress - Analysis of Mindlin Plates - Laminated Plates. Notes on Set Theory, 2e Yiannis Moschovakis, University of California, Los Angeles, CA, USA About the Book The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice 'to make a notion precise' simply means 'to define it in set theory.' This book tries to do justice to both aspects of the subject: it gives a solid introduction to 'pure set theory' through transfinite recursion and the construction of the cumulative hierarchy of sets, but it also attempts to explain precisely how mathematical objects can be faithfully modeled within the universe of sets. In this new edition the author added solutions to the exercises, and rearranged and reworked the text in several places to improve the presentation. The book is aimed at advanced undergraduate or beginning graduate mathematics students and at mathematically minded graduate students of computer science and philosophy.
Introduction - Equinumerosity - Paradoxes and axioms - Are sets all there is? - The natural numbers - Fixed points - Well ordered sets - Choices - Choice’s consequences - Baire space - Replacement and other axioms - Ordinal numbers - A. The real numbers - B. Axioms and universes - Index. ISBN: 9788132214519 Page: 246 p. Price: ` 695.00
Market: SIP Reprint Year: Dec-13 ISBN: 9788132206675 Page: XII, 284 p. 48 illus.
Price: ` 299.00
Market: Open Reprint Year: May-12 Highlights (Application of Mathematics) springer.com 18 Mathematics and Statistics Prices are subject to change without prior notice These titles are for sale only in India, Pakistan, Bangladesh, Sri Lanka and Nepal. Sale outside the designated territory is strictly prohibited. Numerical Optimization, 2e Jorge Nocedal, Northwestern University, Evanston, IL, USA Stephen Wright, University of Wisconsin, WI, USA
Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side. There is a selected solutions manual for instructors for the new edition. Download 0.64 Mb. Do'stlaringiz bilan baham: 
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