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Title: A PRIMER OF NONLINEAR ANALYSIS
By: Antonio Ambrosetti, Giovanni Prodi, B. Bollobas
Format: Paperback

List price: £46.00
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ISBN 10: 0521485738
ISBN 13: 9780521485739
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 9 March, 1995
Series: Cambridge Studies in Advanced Mathematics No.34
Pages: 180
Description: This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
Synopsis: This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included.
Illustrations: 36 b/w illus.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
Some other items by this author:
3-TRANSPOSITION GROUPS (HB)
A PRIMER OF NONLINEAR ANALYSIS
A TEXTBOOK ON ORDINARY DIFFERENTIAL EQUATIONS (PB)
A TEXTBOOK ON ORDINARY DIFFERENTIAL EQUATIONS (PB)
A TRIBUTE TO PAUL ERDOS
A TRIBUTE TO PAUL ERDOS (HB)
A TRIBUTE TO PAUL ERDOS (PB)
ABELIAN VARIETIES, THETA FUNCTIONS AND THE FOURIER TRANSFORM (HB)
ADDITIVE COMBINATORICS (HB)
AFFINE DIFFERENTIAL GEOMETRY (HB)
ALGEBRAIC AUTOMATA THEORY (PB)
ALGEBRAIC CURVES OVER FINITE FIELDS (PB)
ALGEBRAIC HOMOTOPY (HB)
ALGEBRAIC L-THEORY AND TOPOLOGICAL MANIFOLDS (HB)
ALGEBRAIC NUMBER THEORY (PB)
AN INTRODUCTION TO HOMOLOGICAL ALGEBRA (PB)
AN INTRODUCTION TO NONLINEAR FUNCTIONAL ANALYSIS AND ELLIPTIC PROBLEMS (HB)
AN INTRODUCTION TO THE THEORY OF THE RIEMANN ZETA-FUNCTION (PB)
ANALYSIS ON FRACTALS (HB)
APPROACHES TO THE THEORY OF OPTIMIZATION (PB)
APPROXIMATION BY ALGEBRAIC NUMBERS (HB)
APPUNTI SULLE EQUAZIONI DIFFERENZIALI ORDINARIE (PB)
ARITHMETIC OF QUADRATIC FORMS (PB)
ASSOCIATION SCHEMES (HB)
ASYMPTOTIC EXPANSIONS (PB)
AUTOMORPHIC FORMS AND L-FUNCTIONS FOR THE GROUP GL(N,R) (HB)
AUTOMORPHIC FORMS AND REPRESENTATIONS (PB)
AUTOMORPHIC FORMS ON SL2 (R) (HB)
BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES (HB)
CALCULUS OF VARIATIONS (HB)
CANCER METASTASIS (PB)
CLIFFORD ALGEBRAS AND DIRAC OPERATORS IN HARMONIC ANALYSIS (HB)
COHEN-MACAULAY RINGS (PB)
COHOMOLOGY OF DRINFELD MODULAR VARIETIES, PART 2, AUTOMORPHIC FORMS, TRACE FORMULAS AND LANGLANDS CORRESPONDENCE (HB)
COMPLETENESS AND BASIS PROPERTIES OF SETS OF SPECIAL FUNCTIONS (PB)
CONTINUUM PERCOLATION (HB)
DERIVATION AND INTEGRATION (HB)
DESIGNS AND THEIR CODES (HB)
DESIGNS AND THEIR CODES (PB)
DIFFERENTIAL EQUATIONS (HB)
DUALITY AND PERTURBATION METHODS IN CRITICAL POINT THEORY (HB)
DUALITY IN ANALYTIC NUMBER THEORY (HB)
DYNAMICAL SYSTEMS AND SEMISIMPLE GROUPS (HB)
EIGENVALUES OF NON-LINEAR PROBLEMS (PB)
ENDS OF COMPLEXES (HB)
ERGODIC THEORY (PB)
FINITE FREE RESOLUTIONS (PB)
FINITE GROUP THEORY (HB)
FINITE PACKING AND COVERING (HB)
FOURIER INTEGRALS IN CLASSICAL ANALYSIS (HB)
FREDHOLM THEORY IN BANACH SPACES (PB)
FUNCTION SPACES, ENTROPY NUMBERS, DIFFERENTIAL OPERATORS (HB)
GALOIS THEORIES (HB)
GAUSSIAN HILBERT SPACES (HB)
GENERAL IRREDUCIBLE MARKOV CHAINS AND NON-NEGATIVE OPERATORS (PB)
GEOMETRIC CONTROL THEORY (HB)
GEOMETRY OF SETS AND MEASURES IN EUCLIDEAN SPACES (PB)
GRAPH THEORY (PB)
GRAPH THEORY AND COMBINATORICS 1988 (PB)
GROUPS ACTING ON GRAPHS (HB)
HARMONIC MAPPINGS IN THE PLANE (HB)
HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY II: VOLUME 2 (HB)
HOPF ALGEBRAS (PB)
HYPERBOLICITY AND SENSITIVE CHAOTIC DYNAMICS AT HOMOCLINIC BIFURCATIONS (PB)
IDEAL THEORY (PB)
INFINITE ELECTRICAL NETWORKS (HB)
INTRODUCTION TO ANALYTIC AND PROBABILISTIC NUMBER THEORY (HB)
INTRODUCTION TO HIGHER-ORDER CATEGORICAL LOGIC (PB)
INTRODUCTION TO HP SPACES (HB)
INTRODUCTORY LECTURES ON SIEGEL MODULAR FORMS (HB)
INVARIANTS OF QUADRATIC DIFFERENTIAL FORMS (PB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 1, MATHEMATICAL LOGIC (HB)
LECTURES IN LOGIC AND SET THEORY: VOLUME 2, SET THEORY (HB)
LECTURES ON VECTOR BUNDLES (HB)
LOCAL COHOMOLOGY (HB)
MARKOV PROCESSES, GAUSSIAN PROCESSES, AND LOCAL TIMES (HB)
MATHEMATICAL ECONOMICS (PB)
MATRICES OF SIGN-SOLVABLE LINEAR SYSTEMS (HB)
MODULAR FORMS AND GALOIS COHOMOLOGY (HB)
MULTIPLE FORCING (HB)
MULTIPLICATIVE NUMBER THEORY I (HB)
MULTIVALENT FUNCTIONS (HB)
NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS
NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS (HB)
NONLINEAR FUNCTIONAL ANALYSIS AND APPLICATIONS TO DIFFERENTIAL EQUATIONS (HB)
NOTES ON TIME DECAY AND SCATTERING FOR SOME HYPERBOLIC PROBLEMS (PB)
ON L1-APPROXIMATION (HB)
PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS AND RELATED TOPICS (HB)
PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS AND RELATED TOPICS (PB)
PERIODIC SOLUTIONS OF SINGULAR LAGRANGIAN SYSTEMS (HB)
PERIODIC SOLUTIONS OF SINGULAR LAGRANGIAN SYSTEMS (HB)
PERIODIC SOLUTIONS OF SINGULAR LAGRANGIAN SYSTEMS (PB)
PERTURBATION METHODS AND SEMILINEAR ELLIPTIC PROBLEMS ON R^N (HB)
POLYCYCLIC GROUPS (PB)
POSITIVE HARMONIC FUNCTIONS AND DIFFUSION (HB)
PRIMER OF NONLINEAR ANALYSIS (HB)
PROBLEMS IN NON-LINEAR ANALYSIS (PB)
QUANTUM STOCHASTIC PROCESSES AND NON-COMMUTATIVE GEOMETRY (HB)
RANDOM FRAGMENTATION AND COAGULATION PROCESSES (HB)
RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS (PB)
REAL ANALYSIS AND PROBABILITY (HB)
REFLECTION GROUPS AND COXETER GROUPS (PB)
REPRESENTATIONS AND CHARACTERS OF FINITE GROUPS (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS (HB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 1, BASIC REPRESENTATION THEORY OF FINITE GROUPS AND ASSOCIATIVE ALGEBRAS (PB)
REPRESENTATIONS AND COHOMOLOGY: VOLUME 2, COHOMOLOGY OF GROUPS AND MODULES (PB)
REPRESENTATIONS OF NILPOTENT LIE GROUPS AND THEIR APPLICATIONS: VOLUME 1, PART 1, BASIC THEORY AND EXAMPLES (PB)
RESULTS AND PROBLEMS IN COMBINATORIAL GEOMETRY
RIEMANNIAN GEOMETRY (PB)
SOME APPLICATIONS OF MODULAR FORMS (HB)
SOME RANDOM SERIES OF FUNCTIONS (PB)
SPECTRAL DECOMPOSITION AND EISENSTEIN SERIES (HB)
SPECTRAL THEORY AND DIFFERENTIAL OPERATORS (PB)
SPECTRAL THEORY OF THE RIEMANN ZETA-FUNCTION (HB)
SPINNING TOPS (HB)
STOCHASTIC APPROXIMATION (PB)
STOCHASTIC FLOWS AND STOCHASTIC DIFFERENTIAL EQUATIONS (PB)
STONE SPACES (PB)
SURVEYS IN COMBINATORICS
SURVEYS IN COMBINATORICS (PB)
THE GEOMETRY OF FRACTAL SETS (PB)
THE HARDY-LITTLEWOOD METHOD (HB)
THE LEBESGUE INTEGRAL (PB)
THE LEVY LAPLACIAN (HB)
THE LOGARITHMIC INTEGRAL (PB)
THE RIEMANN APPROACH TO INTEGRATION (HB)
THE THEORY OF CLUSTER SETS (PB)
TOLERANCE GRAPHS (HB)
TOPICS IN ERGODIC THEORY (PB)
TOPICS IN METRIC FIXED POINT THEORY (HB)
ULTRAMETRIC CALCULUS (PB)
VARIATIONAL AND LOCAL METHODS IN THE STUDY OF HAMILTONIAN SYSTEMS (HB)
VARIATIONAL METHODS IN NONLINEAR ANALYSIS (HB)
WAVELETS AND OPERATORS (PB)

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