Sign-In
Cart
Introduction to Functional Analysis: Theory and Applications
Hardcover
Currently unavailable to order
Please enter your email and a message will be sent to you when this product becomes available on our website.
ISBN13: 9783032374141
Publisher: Springer
Published: Oct 15 2026
Pages: 542
Language: English
Introduction to Functional Analysis: Theory and Applications is a comprehensive and modern introduction to one of the most important foundations of contemporary mathematics. Originally published in Spanish and widely adopted throughout the Latin American academic community, this English edition presents a thoroughly revised and expanded translation of the acclaimed second edition.
Designed to serve both as a graduate-level textbook and a long-term reference work, the book develops the fundamental results of Functional Analysis while emphasizing their role in mathematics, physics, engineering, and computational science. Core topics include duality, linear operators, variational problems, compact operators, spectral theory, weak topologies, distribution theory, and Sobolev spaces, complemented by numerous applications to partial differential equations, numerical analysis, and finite element methods.
A distinguishing feature of the text is its unified and interconnected approach. Rather than treating subjects as isolated topics, the author carefully links concepts, proofs, and results across chapters, helping readers develop a deeper understanding of the discipline as a coherent whole. Banach and Hilbert space theory are intentionally woven together, enabling readers to appreciate both their common foundations and their essential differences. Likewise, important applied topics such as Babuska-Brezzi theory, distribution theory and Sobolev spaces are revisited throughout the book from multiple perspectives, reinforcing understanding and highlighting their broad relevance.
Drawing on decades of teaching and internationally recognized research, Gabriel N. Gatica combines rigorous mathematical exposition with practical applications, detailed proofs, and research-inspired exercises. The result is a distinctive and engaging text that supports advanced undergraduate and graduate study while providing researchers and practitioners with a valuable reference across a wide range of mathematical and engineering disciplines.
Ideal for courses in Functional Analysis, Applied Mathematics, Partial Differential Equations, Optimization, Numerical Analysis, Finite Element Methods, and Mathematical Methods in Physics and Engineering.
Also in
General Mathematics
The Golden Number: Pythagorean Rites and Rhythms in the Development of Western Civilization
Ghyka, Matila C.
Hardcover
How It All Works: All Scientific Laws and Phenomena Illustrated & Demonstrated
Dant, Adam
Clegg, Brian
Hardcover
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Leighton, Robert B.
Sands, Matthew
Feynman, Richard P.
Paperback
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
Oliver Byrne's Elements of Euclid: The First Six Books with Coloured Diagrams and Symbols (Art Meets Science Edition)
Art Meets Science
Hardcover
Math Practice Workbook Grades 6-8: 1000+ Questions You Need to Kill in Middle School by Brain Hunter Prep
Brain Hunter Prep
Paperback
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life
Dixit, Avinash K.
Nalebuff, Barry J.
Paperback
WorkKeys Study Guide and Practice Test Questions: ACT WorkKeys Exam Prep and Review Book with Applied Mathematics, Locating Information, and Reading f
Trivium Exam Prep Team
Paperback
Who Gets What -- And Why: The New Economics of Matchmaking and Market Design
Roth, Alvin E.
Paperback
Tomoko Fuse's Amazing Kusudama Origami: Geometric Paper Art from Japan's Leading Expert!
Fuse, Tomoko
Paperback
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Hardcover
Mastering Essential Math Skills Book 2, Bilingual Edition - English/Spanish
Fisher, Richard W.
Paperback
Counting with - Contando Con Frida (Bilingual: English/Spanish): A Bilingual Counting Book
Rodriguez, Patty
Stein, Ariana
Hardcover
Math Games with Bad Drawings: 75 1/4 Simple, Challenging, Go-Anywhere Games--And Why They Matter
Orlin, Ben
Hardcover
Hidden Figures: The American Dream and the Untold Story of the Black Women Mathematicians Who Helped Win the Space Race
Shetterly, Margot Lee
Paperback
50 Math Tricks That Will Change Your Life: Mentally Solve the Impossible in Seconds
Zakowich, Tanya
Paperback
The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics
Bardi, Jason Socrates
Hardcover
Touchthinklearn: Numbers: (Board Books for Baby Learners, Touch Feel Books for Children)
Deneux, Xavier
Hardcover
Quadrivium: The Four Classical Liberal Arts of Number, Geometry, Music, & Cosmology
Lundy, Miranda
Ashton, Anthony
Sutton, Daud
Hardcover
Graph Paper Composition Notebook: Quad Ruled 5x5, Grid Paper for Students in Math and Science
Wizo, Math
Paperback
Vector: A Surprising Story of Space, Time, and Mathematical Transformation
Arianrhod, Robyn
Hardcover
Quantum Mechanics Done Right: The Shortest Path from Novice to Researcher
Freericks, James K.
Hardcover
Un Elefante: Numbers / Números (Bilingual: English/Spanish): A Bilingual Counting Book
Rodriguez, Patty
Stein, Ariana
Hardcover
A Mind for Numbers: How to Excel at Math and Science (Even If You Flunked Algebra)
Oakley, Barbara
Paperback
New York Post Fiendish Sudoku: The Official Utterly Addictive Number-Placing Puzzle
Gould, Wayne
Paperback
ALEKS Math Placement Test Prep 2026: 1200 Verified Practice Questions with Accurate Answer Keys, Step-by-Step Worked Solutions, and Clear Concept Expl
Reid, Marcus L.
Publishing, Kettford
Paperback
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Benjamin, Arthur
Shermer, Michael
Paperback
Partial Differential Equations: Theory and Completely Solved Problems
Hillen, T.
Leonard, I. E.
Van Roessel, H.
Paperback
Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning
Liljedahl, Peter
Paperback
Concrete Mathematics: A Foundation for Computer Science
Patashnik, Oren
Knuth, Donald
Graham, Ronald
Hardcover
180 Days(r) Math for First Grade: Practice, Assess, Diagnose
Smith, Jodene
Smith, Jodene Lynn
Paperback
Number Systems and the Foundations of Analysis
Mendelson, Elliott
Dudley, Underwood
Mathematics
Paperback
Sudoku for Brain Fitness: 90-Day Challenge to Sharpen the Mind and Strengthen Cognitive Skills
Demyanovich, Julie
Clontz, Steven
Paperback
Math Fundamentals 3 - Geometry: For Middle School - A Quickstudy Laminated Reference Guide
Wright, Susan
Expolog
Warren, Peggy
Other
Talentos Ocultos: La Genialidad No Tiene Color. La Fuerza No Tiene Género. El Valor No Tiene Límite.
Shetterly, Margot Lee
Paperback
It's All a Game: The History of Board Games from Monopoly to Settlers of Catan
Donovan, Tristan
Paperback
Reaching for the Extreme: How the Quest for the Biggest, Fewest, and Weirdest Makes Math
Stewart, Ian
Hardcover
Cybernetics: Or the Control and Communication in the Animal and the Machine
Wiener, Norbert
Paperback
The Beginner's Guide to Constructing the Universe: The Mathematical Archetypes of Nature, Art, and Science
Schneider, Michael S.
Paperback
300 Math CrossWords: Addition, Subtraction, Multiplication, and Division Math CrossWords Grade 3 and Above, Age +8
Martin, Josh Ortiz
Paperback
Medical Dosage Calculations for Dummies
Depuente, Vanessa
Schoenborn, Barry
Snyder, Richard W.
Paperback
Make: Physics: Build Projects to Explore Calculus-Based Mechanics
Horvath, Joan
Cameron, Rich
Paperback