Search Results - "algebra"

Risk and uncertainty reduction by using algebraic inequalities / by Todinov, M. T.

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Advanced functional analysis / by Malkowsky, Eberhard, Rakočević, Vadimir

Table of Contents: “…Fundamentals of linear and topological spaces -- Linear topological spaces -- Linear metric spaces -- Banach spaces -- Hilbert spaces -- Banach algebras -- Measures of noncompactness -- Fredholm theory -- Sequence spaces -- Fixed point theory.…”
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Advanced topics in mathematical analysis / by Ruzhansky, M. (Michael), Dutta, Hemen, 1981-

Table of Contents: “…Natarajan -- The interplay between topological algebra theory and algebras of holomorphic functions / Alberto Saracco.…”
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Nonlinear systems and their remarkable mathematical structures /

Table of Contents: “…Systems of nonlinearly-coupled dierential equations solvable by algebraic operations / F. Calogero -- Integrable nonlinear PDEs on the half-line / A S Fokas and B Pelloni -- Detecting discrete integrability: the singularity approach / B. …”
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Handbook of analytic operator theory / by Zhu, Kehe, 1961-

Table of Contents: “…3: Commutants, Reducing Subspaces, and von Neumann Algebras3.1 Introduction; 3.2 Commutants and reducing subspaces for multiplication operators on the Hardy space H2(D); 3.3 The case of the Bergman space L2a(D); 3.4 The case of Bergman space over a polygon; 3.5 The case of the Bergman space over high dimensional domains; 3.6 Further questions; References; 4: Operators in the Cowen-Douglas Class and Related Topics; 4.1 Introduction; 4.2 Some future directions and further thoughts; References; 5: Toeplitz Operators and Toeplitz C*-Algebras; 5.1 Introduction…”
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Complex variables : a physical approach with applications / by Krantz, Steven G. (Steven George), 1951-

Table of Contents: “…Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface to the Second Edition for the Instructor; Preface to the Second Edition for the Student; Preface to the First Edition; 1: Basic Ideas; 1.1 Complex Arithmetic; 1.1.1 The Real Numbers; 1.1.2 The Complex Numbers; 1.1.3 Complex Conjugate; Exercises; 1.2 Algebraic and Geometric Properties; 1.2.1 Modulus of a Complex Number; 1.2.2 The Topology of the Complex Plane; 1.2.3 The Complex Numbers as a Field; 1.2.4 The Fundamental Theorem of Algebra; Exercises; 2: The Exponential and Applications…”
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An elementary transition to abstract mathematics / by Effinger, Gove W., Mullen, Gary L.

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An Introduction to Mathematical Proofs by Loehr, Nicholas A.

Table of Contents: “…and ⁶</P><P>Ordered Pairs; Product Sets</P><P>General Unions and Intersections</P><P>Axiomatic Set Theory (Optional)</P><P></P><B><P>Integers</P></B><P>Recursive Definitions; Proofs by Induction</P><P>Induction Starting Anywhere: Backwards Induction</P><P>Strong Induction</P><P>Prime Numbers; Division with Remainder</P><P>Greatest Common Divisors; Euclid's GCD Algorithm</P><P>More on GCDs; Uniqueness of Prime Factorizations</P><P>Consequences of Prime Factorization (Optional)</P><P></P><B><P>Relations and Functions</P></B><P>Relations; Images of Sets under Relations</P><P>Inverses, Identity, and Composition of Relations</P><P>Properties of Relations</P><P>Definition of Functions</P><P>Examples of Functions; Proving Equality of Functions</P><P>Composition, Restriction, and Gluing</P><P>Direct Images and Preimages</P><P>Injective, Surjective, and Bijective Functions</P><P>Inverse Functions</P><P></P><B><P>Equivalence Relations and Partial Orders</P></B><P>Reflexive, Symmetric, and Transitive Relations</P><P>Equivalence Relations</P><P>Equivalence Classes</P><P>Set Partitions</P><P>Partially Ordered Sets</P><P>Equivalence Relations and Algebraic Structures (Optional)</P><P></P><B><P>Cardinality</P></B><P>Finite Sets</P><P>Countably Infinite Sets</P><P>Countable Sets</P><P>Uncountable Sets</P><P></P><B><P>Real Numbers (Optional)</P></B><P>Axioms for R; Properties of Addition</P><P>Algebraic Properties of Real Numbers</P><P>Natural Numbers, Integers, and Rational Numbers</P><P>Ordering, Absolute Value, and Distance</P><P>Greatest Elements, Least Upper Bounds, and Completeness</P><P></P><B><P>Suggestions for Further Reading</P></B>…”
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Sturm-Liouville problems : theory and numerical implementation / by Guenther, Ronald B., Lee, John W., 1942-

Table of Contents: “…Preliminaries; 2.1 Euclidean Spaces; 2.1.1 Real Euclidean Spaces; 2.1.2 Complex Euclidean Spaces; 2.1.3 Elements of Convergence; 2.1.4 Upper Bounds and Sups; 2.1.5 Closed and Compact Sets; 2.2 Calculus and Analysis; 2.2.1 Continuity; 2.2.2 Differential Calculus; 2.2.3 Integral Calculus; 2.2.4 Sequences and Series of Functions; 2.3 Matrix and Linear Algebra…”
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Measure and integration : a first course / by Nair, M. Thamban

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