Integraalilaskenta ja yhtälöt

This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis.

This textbook offers a self-contained introduction to probability, covering all topics required for further study in stochastic processes and stochastic analysis, as well as some …

This popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.Probability plays an increasingly important role …

This textbook is addressed to PhD or senior undergraduate students in mathematics, with interests in analysis, calculus of variations, probability and optimal transport.

Authoritative, well-written basic treatment of extremely useful mathematical tool. Topics include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems …

The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral …

This book provides an introduction to real analysis, a fundamental topic that is an essential requirement in the study of mathematics.

Payoffs include: concise picture proofs of the Monotone and Dominated Convergence Theorems, a one-line/one-picture proof of Fubini's theorem from Cavalieri’s Principle, and, in …

This volume presents a valuable and comprehensive collection of problems and exercises, together with guidelines and worked solutions, of a wide range of the most important …

This book contains a brief historical introduction and state of the art in fractional calculus. The concepts of fractional integral and fractional derivative are also presented. …