Integral calculus and equations Books
Springer International Publishing AG Calculus II: Practice Problems, Methods, and
Book SynopsisThis study guide is designed for students taking a Calculus II course. The textbook includes examples, questions, and practice problems that will help students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. The material covered in the book includes applications of integration, sequences and series and their applications, polar coordinate systems, and complex numbers. Offering detailed solutions, multiple methods for solving problems, and clear explanations of concepts, this hands-on guide will improve students’ problem-solving skills and foster a solid understanding of calculus, which will benefit them in all of their calculus-based coursesTable of ContentsChapter 1: Problems: Applications of integration.- Chapter 2: Solutions of Problems: Applications of integration.- Chapter 3: Problems: Sequences and series and their applications.- Chapter 4: Solutions of Problems: Sequences and series and their applications.- Chapter 5: Problems: Polar coordinate system.- Chapter 6: Solutions of Problems: Polar coordinate system.- Chapter 7: Problems: Complex numbers.- Chapter 8: Solutions of Problems: Complex numbers.
£42.74
Springer Infinite Interval Problems for Differential, Difference and Integral Equations
Book SynopsisInfinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer~d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the existence of solutions to infinite interval problems. This has resulted in widely applicable results. This monograph is a cumulation mainly of the authors' research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is that we illustrate almost all the results with examples. The plan of this monograph is as follows. In Chapter 1 we present the existence theory for second order boundary value problems on infinite intervals. We begin with several examples which model real world phenom ena. A brief history of the infinite interval problem is also included. We then present general existence results for several different types of boundary value problems. Here we note that for the infinite interval problem only two major approaches are available in the literature.Trade Review'the monograph is well written and will be of interest for mathematicians and graduate students with research interest in applied mathematics.' Zentral Blatt Mathematik, 988 (2002)Table of ContentsPreface. 1. Second Order Boundary Value Problems. 2. Higher Order Boundary Value Problems. 3. Continuous Systems. 4. Integral Equations. 5. Discrete Systems. 6. Equations in Banach Spaces. 7. Multivalued Equations. 8. Equations on Time Scales. Subject Index.
£85.49
Springer Verlag, Singapore Theory and Applications of Special Functions for
Book SynopsisThis book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. The audience benefits of new and original information and references in the areas of the special functions applied to model the complex problems with the power-law behaviors.The results are important and interesting for scientists and engineers to represent the complex phenomena arising in applied sciences therefore graduate students and researchers in mathematics, physics and engineering might find this book appealing.Table of ContentsChapter 1 Preliminaries.- Chapter 2 Wright Function and Integral Transforms via Dunkl Transform.- Chapter 3 Mittag-Leffler, Supertrigonometric and Superhyperbolic Functions.- Chapter 4 Wiman, Supertrigonometric and Superhyperbolic Functions.- Chapter 5 Prabhakar, Supertrigonometric and Superhyperbolic Functions.- Chapter 6 Other Special Functions Related to Mittag-Leffler Function.- Chapter 7 Kohlrausch-Williams-Watts Function and Related Topics Bibliography.
£95.99
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
a huge range and FREE tracked UK delivery on ALL orders.
£40.84
Cambridge University Press Ellipsoidal Harmonics Theory and Applications 146 Encyclopedia of Mathematics and its Applications Series Number 146
a huge range and FREE tracked UK delivery on ALL orders.
£133.95
Cambridge University Press Partial Diff EquationsWloka
a huge range and FREE tracked UK delivery on ALL orders.
£71.24
Cambridge University Press Greens Functions
a huge range and FREE tracked UK delivery on ALL orders.
£56.99
Cambridge University Press LMS 53 Singularity Theory London Mathematical Society Lecture Note Series Series Number 53
a huge range and FREE tracked UK delivery on ALL orders.
£61.71
Cambridge University Press Integral Equations A Practical Treatment from Spectral Theory to Applications 5 Cambridge Texts in Applied Mathematics Series Number 5
a huge range and FREE tracked UK delivery on ALL orders.
£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
a huge range and FREE tracked UK delivery on ALL orders.
£100.70
Cambridge University Press LMS 255 Symmetries Integrability London Mathematical Society Lecture Note Series Series Number 255
a huge range and FREE tracked UK delivery on ALL orders.
£61.71
Cambridge University Press Collocation Methods for Volterra Integral and Related Functional Differential Equations
a huge range and FREE tracked UK delivery on ALL orders.
£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
