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- Highlights (Analysis) 7 springer.com
- Analysis and Probability: Wavelets, Signals, Fractals
- Classical Fourier Analysis, 2e
- Highlights (Analysis) springer.com 8
- Complex Analysis, 4e
- Complex Variables with Applications
- Highlights (Analysis) 9 springer.com
- Differential Analysis on Complex Manifolds, 3e
- Differential Equations and Dynamical Systems, 3e
- Highlights (Analysis) springer.com 10
- Elementary Analysis: The Theory of Calculus
- Elementary Functional Analysis
- Highlights (Analysis) 11 springer.com
- Introduction to Calculus and Analysis, Vol. 1
- Introduction to Calculus and Analysis, Vol. 2
- Highlights (Analysis) springer.com 12
- Introduction to Calculus and Classical Analysis, 2e
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Contents The Laplace Transform.- Further Properties.- Convolution and the Solutions.- Fourier Series.- Partial Differential Equations.- Fourier Transforms.- Complex Variables and Laplace Transforms.- Appendices: A: Answers to Exercises.- B: Table of Laplace Transforms.- C: Linear Spaces. ISBN: 9788181285171 Page: 399 p. 1 illus. Price: ` 495.00
Market: Open Reprint Year: Sep-06 ISBN: 9788181282774 Page: XII, 250 p. Price: ` 225.00
Market: Open Reprint Year: Mar-05 Highlights (Analysis) 7 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. Analysis and Probability: Wavelets, Signals, Fractals Palle E. T. Jorgensen, The University of Iowa, Iowa City, IA, USA About the Book This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals. The book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications. Contents Preface - Contents - Acknowledgments - Introduction: Measures on Path Space - List of Figures - Index of Symbols - Transition Probabilities: Random Walk - N0 vs. Z - A Case Study: Duality for the Cantor Sets - Infinite Products - The Minimal Eigenfunction - Generalizations and Applications - Pyramids and Operators - Pairs of Representations of the Cuntz Algebras On and their Application to Multiresolutions - Appendices: Polyphase Matrices and the Operator Algebra ON - References - Comments on Signal/Image Processing Terminology - Afterword: Computational Math - List of Names and Discoveries - General Index - About the Cover Figure. Classical Fourier Analysis, 2e 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 - Lp Spaces and Interpolation - Maximal Functions, Fourier Transform, and Distributions - Fourier Analysis on the Torus - Singular Integrals of Convolution Type - Littlewood-Paley Theory and Multipliers - Gamma and Beta Functions - Bessel Functions - Rademacher Functions - Spherical Coordinates - Some Trigonometric Identities and Inequalities - Summation by Parts - Basic Functional Analysis - The Minimax Lemma - The Schur Lemma - The Whitney Decomposition of Open Sets in Rn - Smoothness and Vanishing Moments - Glossary - References - Index.
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Price: ` 499.00
Market: Open Reprint Year: Oct-11 ISBN: 9788132204060 Page: XVI, 492 p. 10 illus.
Price: ` 549.00
Market: Open Reprint Year: Oct-11 Highlights (Analysis) springer.com 8 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. Complex Analysis, 4e Serge Lang, Yale University, New Haven, CT, USA About the Book This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text.
I: Basic Theory: Complex Numbers and Functions - Power Series - Cauchy's Theorem, First Part - Winding Numbers and Cauchy's Theorem - Applications of Cauchy's Integral Formula - Calculus of Residues - Conformal Mappings - Harmonic Functions - II: Geometric Function Theory: Schwarz Reflection - The Riemann Mapping Theorem - Analytic Continuation Along Curves - III: Various Analytic Topics: Applications of the Maximum Modulus Principle and Jensen's Formula - Entire and Meromorphic Functions - Elliptic Functions - The Gamma and Zeta Functions - The Prime Number Theorem.
S. Ponnusamy Herb Silverman
"Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination.The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables designed for scientists and engineers or for mathematics majors interested in further pursuing the general theory of complex analysis. The only prerequistite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study." Contents Preface - Algebraic and Geometric Preliminaries - Topological and Analytic Preliminaries - Bilinear Transformations and Mappings - Elementary Functions - Analytic Functions - Power Series - Complex Integration and Cauchy's Theorem - Applications of Cauchy's Theorem - Laurent Series and the Residue Theorem - Harmonic Functions - Conformal Mapping and the Riemann Mapping Theorem - Entire and Meromorphic Functions - Analytic Continuation - Applications - References - Index of Special Notations - Hints for Selected Questions and Exercises - Index.
595.00
Market: SEB Reprint Year: Mar-05 ISBN: 9788132206682 Page: XIII, 513 p. 109 illus.
Price: ` 499.00
Market: Open Reprint Year: May-12 Highlights (Analysis) 9 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. Differential Analysis on Complex Manifolds, 3e Raymond O. Wells, Jacobs University Bremen, Germany About the Book In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of the developments in the field during the decades since the book appeared. From a review of the 2nd Edition: “..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work.” Nigel Hitchin, Bulletin of the London Mathematical Society “Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material.”
Manifolds and Vector Bundles - Sheaf Theory - Differential Geometry - Elliptic Operator Theory - Compact Complex Manifolds - Kodaira’s Projective Embedding Theorem - Appendix by O. Garcia-Prada - References - Subject Index - Author Index. Differential Equations and Dynamical Systems, 3e Lawrence Perko, Northern Arizona University, Flagstaff, AZ, USA About the Book This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations, a thorough treatment of linear systems is given at the beginning of the text. All the material necessary for a clear understanding of the qualitative behavior of dynamical systems is contained in this textbook, including an outline of the proof and examples illustrating the proof of the Hartman-Grobman theorem, the use of the Poincaré map in the theory of limit cycles, the theory of rotated vector fields and its use in the study of limit cycles and homoclinic loops, and a description of the behavior and termination of one-parameter families of limit cycles. In addition to minor corrections and updates throughout, this new edition includes materials on higher order Melnikov theory and the bifurcation of limit cycles for planar systems of differential equations, including new sections on Francoise's algorithm for higher order Melnikov functions and on the finite codimension bifurcations that occur in the class of bounded quadratic systems.
Series Preface - Preface to the Third Edition - Linear Systems - Nonlinear Systems: Local Theory - Nonlinear Systems: Global Theory - Nonlinear Systems: Bifurcation Theory - References - Additional References - Index.
ISBN: 9788132206699 Page: XIV, 304 p. Price: ` 349.00
Market: Open Reprint Year: May-12 ISBN: 9788181281838 Page: XIV, 553 p. 229 illus.
Price: ` 995.00
Market: CBS Reprint Year: Mar-04 Highlights (Analysis) springer.com 10 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. Elementary Analysis: The Theory of Calculus Kenneth A. Ross, University of Oregon, Eugene, OR, USA About the Book Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals. Contents Introduction - Sequences - Continuity - Sequences and Series of Functions - Differentiation - Integration - Appendix on Set Notation - Selected Hints and Answers - References - Symbols Index - Index.
Barbara MacCluer, University of Virginia, Charlottesville, VA, USA About the Book "This text is intended for a one-semester introductory course in functional analysis for graduate students and well-prepared advanced undergraduates in mathematics and related fields. It is also suitable for self-study, and could be used for an independent reading course for undergraduates preparing to start graduate school. While this book is relatively short, the author has not sacrificed detail. Arguments are presented in full, and many examples are discussed, making the book ideal for the reader who may be learning the material on his or her own, without the benefit of a formal course or instructor. Each chapter concludes with an extensive collection of exercises. The choice of topics presented represents not only the author's preferences, but also her desire to start with the basics and still travel a lively path through some significant parts of modern functional analysis. The text includes some historical commentary, reflecting the author's belief that some understanding of the historical context of the development of any field in mathematics both deepens and enlivens one's appreciation of the subject. The prerequisites for this book include undergraduate courses in real analysis and linear algebra, and some acquaintance with the basic notions of point set topology. An Appendix provides an expository discussion of the more advanced real analysis prerequisites, which play a role primarily in later sections of the book."
Preface - Hilbert Space Preliminaries - Operator Theory Basics - The Big Three - Compact Operators - Banach and C+- Algebras - The Spectral Theorem - Real Analysis Topics - References - Index.
325.00
Market: Open Reprint Year: Mar-04 ISBN: 9788132206705 Page: X, 208 p. 5 illus. Price: ` 249.00
Market: Open Reprint Year: May-12 Highlights (Analysis) 11 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. Introduction to Calculus and Analysis, Vol. 1 Richard Courant, New York University, New York, USA Fritz John, New York University, New York, USA
From the reviews: 'Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)' The Mathematical Gazette (75.1991.471).
Introduction - The Fundamental Ideas of the Integral and Differential Calculus - The Techniques of Calculus - Applications in Physics and Geometry - Taylor's Expansion - Numerical Methods - Infinite Sums and Products - Trigonometric Series - Differential Equations for the Simplest Types of Vibration - List of Bibliographical Dates - Index.
Richard Courant, New York University, New York, USA Fritz John, New York University, New York, USA
From the reviews: 'These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that.' Newsletter on Computational and Applied Mathematics, 1991 '...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students. Acta Scientiarum Mathematicarum, 1991. Contents Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane; Vector Form of the Divergence Theorem. Stokes's Theorem; Formula for Integration by Parts in Two Dimensions: Green's Theorem; The Divergence Theorem Applied to the Transformation of Double Integrals; ... - Differential Equations: The Differential Equations for the Motion of a Particle in Three Dimensions; The General Linear Differential Equation of the First Order; Linear Differential Equations of Higher Order; General Differential Equations of the First Order; ... - Calculus of Variations; Functions and Their Extreme Values of a Functional; Generalizations; Problems Involving Subsidiary Conditions. Lagrange Multipliers - Functions of a Complex Variable: Complex Functions Represented by Power Series; Foundations of the General Theory of Functions of a Complex Variable; The Integration of Analytic Functions; Cauchy's Formula and Its Applications; Applications to Complex Integration (Contour Integration); Many-Valued Functions and Analytic Extension - List of Biographical Dates - Index. ISBN: 9788181281685 Page: XXIII, 661 p. Price: ` 995.00
Market: CBS Reprint Year: Mar-04 ISBN: 9788181281692 Page: XXVIII, 412 p. 39 illus.
Price: ` 1,095.00
Market: CBS Reprint Year: Mar-04 Highlights (Analysis) springer.com 12 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. Introduction to Calculus and Classical Analysis, 2e Omar Hijab, Temple University, Philadelphia, PA, USA About the Book This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. The book contains many remarkable features: - complete avoidance of /epsilon-/delta arguments by instead using sequences, - definition of the integral as the area under the graph, while area is defined for EVERY subset of the plane, - complete avoidance of complex numbers, - heavy emphasis on computational problems, - applications from many parts of analysis, e.g. convex conjugates, Cantor set, continued fractions, Bessel functions, the zeta functions, and many more, - 344 problems with solutions in the back of the book, - interesting applications, many of which are not usually found in advanced calculus books About the first edition: 'The treatment, however, is far from standard, and many topics are included, especially in the last chapter, that are not available in other modern elementary texts…This is a rigorous book with good motivational material and explanatory remarks. It includes 347 problems, with solutions given in a 73-page appendix…some of the most attractive material requires considerable skill in manipulation.' D.H. Armitage (MathSciNet). New in the second edition: For the new edition, the author has corrected errors and rewritten large portions of the text. In addition, the author has introduced new topics, such as a combinatorial proof that the radius of convergence of the Bernoulli series is 2p. 'ICCA is beautifully conceived and carefully executed...[this book] has much to teach, both about mathematics and how to write mathematics.' Marvin Knopp, American Mathematical Monthly. Download 0.64 Mb. Do'stlaringiz bilan baham: 
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