Integral calculus and equations Books
Springer Mathematical Economics of General Equilibrium
Book Synopsis1 Introduction.- 2 Notation in Economic Analysis.- Part I Mathematical Preliminaries.- 3 Some Basic Facts and Properties in Mathematical Analysis.- Part II Foundations of Theoretical Economic Analysis.- 4 Basic Concepts of Equilibrium Analysis.- 5 Mathematical Structures on the Space of Agents’ Characteristics.- 6 Individual Demands.- 7 Economies with a Measure Space of Consumers.- 8 Walrasian Equilibria of Economies.- 9 Production in Economies.- 10 Edgeworth Equilibria as the Core of Economies.
£67.49
Springer Verlag, Singapore Measure and Integration
Book SynopsisDesigned for senior undergraduate and graduate students in mathematics, this textbook offers a comprehensive exploration of measure theory and integration. It acts as a pivotal link bridging the Riemann integral and the Lebesgue integral, with a primary focus on tracing the evolution of measure and integration from their historical roots. A distinctive feature of the book is meticulous guidance, providing a step-by-step journey through the subject matter, thus rendering complex concepts more accessible to beginners. A fundamental grasp of differential and integral calculus, as well as Riemann integration, is recommended to ensure a smoother comprehension of the material. This textbook comprises 10 well-structured chapters, each thoughtfully organized to lead students from fundamental principles to advanced complexities. Beginning with the establishment of Lebesgue's measure on the real line and an introduction to measurable functions, the book then delves into exploring the cardinalities of various set classes. As readers progress, the subtleties of the Lebesgue integral emerge, showcasing its generalization of the Riemann integral and its unique characteristics in higher dimensions. One of the book's distinctive aspects is its indepth comparison of the Lebesgue integral, improper Riemann integral, and Newton integral, shedding light on their distinct qualities and relative independence. Subsequent chapters delve into the realm of general measures, Lebesgue-Stieltje's measure, Hausdorff 's measure, and the concept of measure and integration in product spaces. Furthermore, the book delves into function spaces, such as 𝘓𝘱 spaces, and navigates the intricacies of signed and complex measures, providing students with a comprehensive foundation in this vital area of mathematics.
£76.03
Springer Special Integrals
Book SynopsisBinomial Series.- Trigonometrical Series.- Special Integrals.- Pseudo-Exponential Functions.- Series Sums using Special Integrals.- Solutions to Binomial Series.- Solutions to Trigonometrical Series.
£52.24
Cambridge University Press Integral Equations 49 Cambridge Tracts in Mathematics Series Number 49
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£40.84
Cambridge University Press Ellipsoidal Harmonics Theory and Applications 146 Encyclopedia of Mathematics and its Applications Series Number 146
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£133.95
Cambridge University Press Partial Diff EquationsWloka
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£71.24
Cambridge University Press Greens Functions
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£56.99
Cambridge University Press LMS 53 Singularity Theory London Mathematical Society Lecture Note Series Series Number 53
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£61.71
Cambridge University Press Integral Equations A Practical Treatment from Spectral Theory to Applications 5 Cambridge Texts in Applied Mathematics Series Number 5
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£45.59
Cambridge University Press The Numerical Solution of Integral Equations of the Second Kind 4 Cambridge Monographs on Applied and Computational Mathematics Series Number 4
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£100.70
Cambridge University Press LMS 255 Symmetries Integrability London Mathematical Society Lecture Note Series Series Number 255
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£61.71
Cambridge University Press Collocation Methods for Volterra Integral and Related Functional Differential Equations
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£151.05
Cambridge University Press Classical and Multilinear Harmonic Analysis
Book SynopsisThis two-volume text in harmonic analysis is appropriate for advanced undergraduate students with a strong background in mathematical analysis and for beginning graduate students wishing to specialize in analysis. With numerous exercises and problems it is suitable for independent study as well as for use as a course text.Trade ReviewReview of the set: 'The two-volume set under review is a worthy addition to this tradition from two of the younger generation of researchers. It is remarkable that the authors have managed to fit all of this into [this number of] smaller-than-average pages without omitting to provide motivation and helpful intuitive remarks. Altogether, these books are a most welcome addition to the literature of harmonic analysis.' Gerald B. Folland, Mathematical ReviewsTable of ContentsPreface; Acknowledgements; 1. Fourier series: convergence and summability; 2. Harmonic functions, Poisson kernel; 3. Conjugate harmonic functions, Hilbert transform; 4. The Fourier Transform on Rd and on LCA groups; 5. Introduction to probability theory; 6. Fourier series and randomness; 7. Calderón–Zygmund theory of singular integrals; 8. Littlewood–Paley theory; 9. Almost orthogonality; 10. The uncertainty principle; 11. Fourier restriction and applications; 12. Introduction to the Weyl calculus; References; Index.
£59.84
Cambridge University Press Troilus and Cressida The New Cambridge Shakespeare
Book SynopsisThis two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional CalderÃnâZygmund and LittlewoodâPaley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; CoifmanâMeyer theory; Carleson's resolution of the Lusin conjecture; CalderÃn's commutators and the Cauchy integral on Lipschitz curves. TTrade ReviewReview of the set: 'The two-volume set under review is a worthy addition to this tradition from two of the younger generation of researchers. It is remarkable that the authors have managed to fit all of this into [this number of] smaller-than-average pages without omitting to provide motivation and helpful intuitive remarks. Altogether, these books are a most welcome addition to the literature of harmonic analysis.' Gerald B. Folland, Mathematical ReviewsTable of ContentsPreface; Acknowledgements; 1. Leibniz rules and gKdV equations; 2. Classical paraproducts; 3. Paraproducts on polydiscs; 4. Calderón commutators and the Cauchy integral; 5. Iterated Fourier series and physical reality; 6. The bilinear Hilbert transform; 7. Almost everywhere convergence of Fourier series; 8. Flag paraproducts; 9. Appendix: multilinear interpolation; Bibliography; Index.
£59.84
