Introduction to Partial Differential Equations: Second Edition
()
About this ebook
The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout.
The first five chapters of the book deal with classical theory: first-order equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators.
Read more from Gerald B. Folland
Annals of Mathematics Studies
Related to Introduction to Partial Differential Equations
Related ebooks
Modern Real and Complex Analysis Rating: 0 out of 5 stars0 ratingsBasic Linear Partial Differential Equations Rating: 0 out of 5 stars0 ratingsElementary Theory: Fundamentals of the Theory of Operator Algebras Rating: 0 out of 5 stars0 ratingsReal Reductive Groups II Rating: 0 out of 5 stars0 ratingsMaximum Principles and Their Applications Rating: 0 out of 5 stars0 ratingsSecond Quantization-Based Methods in Quantum Chemistry Rating: 0 out of 5 stars0 ratingsFunction Theoretic Methods in Partial Differential Equations Rating: 0 out of 5 stars0 ratingsNonlinear Problems in Abstract Cones Rating: 0 out of 5 stars0 ratingsExcited State Lifetime Measurements Rating: 0 out of 5 stars0 ratingsAnalytic Theory of Global Bifurcation: An Introduction Rating: 0 out of 5 stars0 ratingsEssentials of Padé Approximants Rating: 0 out of 5 stars0 ratingsC*-Algebras and Operator Theory Rating: 5 out of 5 stars5/5Boundary Value Problems Rating: 0 out of 5 stars0 ratingsSeminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 Rating: 3 out of 5 stars3/5Nonstandard Methods in Stochastic Analysis and Mathematical Physics Rating: 4 out of 5 stars4/5K-Theory of Forms. (AM-98), Volume 98 Rating: 0 out of 5 stars0 ratingsDirect nuclear Reactions Rating: 0 out of 5 stars0 ratingsSystem Theory: A Hilbert space approach Rating: 0 out of 5 stars0 ratingsThe Theory of Neutron Slowing Down in Nuclear Reactors: International Series of Monographs in Nuclear Energy Rating: 4 out of 5 stars4/5Optimal Control of Differential and Functional Equations Rating: 0 out of 5 stars0 ratingsMarkov Processes: An Introduction for Physical Scientists Rating: 1 out of 5 stars1/5Quantitative Theory of Critical Phenomena Rating: 0 out of 5 stars0 ratingsThe Heat Equation Rating: 0 out of 5 stars0 ratingsHarmonic Analysis in Phase Space. (AM-122), Volume 122 Rating: 0 out of 5 stars0 ratingsFundamentals of the Theory of Operator Algebras. V1: Elementary Theory Rating: 0 out of 5 stars0 ratingsFunctional Analysis: An Introduction for Physicists Rating: 0 out of 5 stars0 ratingsReal-Variable Methods in Harmonic Analysis Rating: 0 out of 5 stars0 ratingsReal-variable Methods in Harmonic Analysis Rating: 0 out of 5 stars0 ratingsElliptic Curves. (MN-40), Volume 40 Rating: 4 out of 5 stars4/5Some Successive Approximation Methods in Control and Oscillation Theory by Peter L Falb and Jan L de Jong Rating: 0 out of 5 stars0 ratings
Mathematics For You
Quantum Physics for Beginners Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Rating: 4 out of 5 stars4/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsMental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics Rating: 3 out of 5 stars3/5Calculus Made Easy Rating: 4 out of 5 stars4/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsGame Theory: A Simple Introduction Rating: 4 out of 5 stars4/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5Limitless Mind: Learn, Lead, and Live Without Barriers Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5Sneaky Math: A Graphic Primer with Projects Rating: 0 out of 5 stars0 ratingsAlgebra I Workbook For Dummies Rating: 3 out of 5 stars3/5A Mind for Numbers | Summary Rating: 4 out of 5 stars4/5Algebra I For Dummies Rating: 4 out of 5 stars4/5Geometry For Dummies Rating: 5 out of 5 stars5/5The Math of Life and Death: 7 Mathematical Principles That Shape Our Lives Rating: 4 out of 5 stars4/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Alan Turing: The Enigma: The Book That Inspired the Film The Imitation Game - Updated Edition Rating: 4 out of 5 stars4/5Is God a Mathematician? Rating: 4 out of 5 stars4/5
Reviews for Introduction to Partial Differential Equations
0 ratings0 reviews