Downloads & Free Reading Options - Results

Book Source: Digital Library of India Item 2015.233836 dc.contributor.author: Copson E.t. dc.date.accessioned: 2015-07-10T18:57:27Z dc.date.available: 2015-07-10T18:57:27Z dc.date.digitalpublicationdate: 2005-12-29 dc.date.citation: 1935 dc.identifier.barcode: 99999990131171 dc.identifier.origpath: /rawdataupload1/upload/0129/833 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/233836 dc.description.scanningcentre: C-DAC, Noida dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 460 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: The Clarendon Press, Oxford dc.rights: Not Available dc.source.library: Ratan Tata Library, University Delhi dc.subject.classification: Natural Sciences dc.subject.keywords: Variables dc.subject.keywords: Theorem dc.title: Theory Of Functions Of A Complex Variable

Book Source: Digital Library of India Item 2015.233836 dc.contributor.author: Copson E.t. dc.date.accessioned: 2015-07-10T18:57:27Z dc.date.available: 2015-07-10T18:57:27Z dc.date.digitalpublicationdate: 2005-12-29 dc.date.citation: 1935 dc.identifier.barcode: 99999990131171 dc.identifier.origpath: /rawdataupload1/upload/0129/833 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/233836 dc.description.scanningcentre: C-DAC, Noida dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 460 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: The Clarendon Press, Oxford dc.rights: Not Available dc.source.library: Ratan Tata Library, University Delhi dc.subject.classification: Natural Sciences dc.subject.keywords: Variables dc.subject.keywords: Theorem dc.title: Theory Of Functions Of A Complex Variable

Book Source: Digital Library of India Item 2015.233836 dc.contributor.author: Copson E.t. dc.date.accessioned: 2015-07-10T18:57:27Z dc.date.available: 2015-07-10T18:57:27Z dc.date.digitalpublicationdate: 2005-12-29 dc.date.citation: 1935 dc.identifier.barcode: 99999990131171 dc.identifier.origpath: /rawdataupload1/upload/0129/833 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/233836 dc.description.scanningcentre: C-DAC, Noida dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 460 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: The Clarendon Press, Oxford dc.rights: Not Available dc.source.library: Ratan Tata Library, University Delhi dc.subject.classification: Natural Sciences dc.subject.keywords: Variables dc.subject.keywords: Theorem dc.title: Theory Of Functions Of A Complex Variable

Book Source: Digital Library of India Item 2015.233836 dc.contributor.author: Copson E.t. dc.date.accessioned: 2015-07-10T18:57:27Z dc.date.available: 2015-07-10T18:57:27Z dc.date.digitalpublicationdate: 2005-12-29 dc.date.citation: 1935 dc.identifier.barcode: 99999990131171 dc.identifier.origpath: /rawdataupload1/upload/0129/833 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/233836 dc.description.scanningcentre: C-DAC, Noida dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 460 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: The Clarendon Press, Oxford dc.rights: Not Available dc.source.library: Ratan Tata Library, University Delhi dc.subject.classification: Natural Sciences dc.subject.keywords: Variables dc.subject.keywords: Theorem dc.title: Theory Of Functions Of A Complex Variable

About the book The book covers basic aspects of complex numbers, complex variables and complex functions. It also deals with analytic functions, Laurent series etc. Contents Introduction 9 Chapter 1. THE COMPLEX VARIABLE AND FUNCTIONS OF A COMPLEX VARIABLE 11 1.1. Complex Numbers and Operations on Complex Numbers 11 a. The concept of a complex number 11 b. Operations on complex numbers 11 c. The geometric interpretation of complex numbers 13 d. Extracting the root of a complex number 15 1.2. The Limit of a Sequence of Complex Numbers 17 a. The definition of a convergent sequence 17 b. Cauchy's test 19 c. Point at infinity 19 1.3. The Concept of a Function of a Complex Variable. Continuity 20 a. Basic definitions 20 b. Continuity 23 c. Examples 26 1.4. Differentiating the Function of a Complex Variable 30 a. Definition. Cauchy-Riemann conditions 30 b. Properties of analytic functions 33 c. The geometric meaning of the derivative of a function of a complex variable 35 d. Examples 37 1.5. An Integral with Respect to a Complex Variable 38 a. Basic properties 38 b. Cauchy's Theorem 41 c. Indefinite Integral 44 1.6. Cauchy's Integral 47 a. Deriving Cauchy's formula 47 b. Corollaries to Cauchy's formula 50 c. The maximum-modulus principle of an analytic function 51 1.7. Integrals Dependent on a Parameter 53 a. Analytic dependence on a parameter 53 b. An analytic function and the existence of derivatives of all orders 55 Chapter 2. SERIES OF ANALYTIC FUNCTIONS 58 2.1. Uniformly Convergent Series of Functions of a Complex Variable 58 a. Number series 58 b. Functional series. Uniform convergence 59 c. Properties of uniformly convergent series. Weierstrass' theorems 62 d. Improper integrals dependent on a parameter 66 2.2. Power Series. Taylor's Series 67 a. Abel's theorem 67 b. Taylor's series 72 c. Examples 74 2.3. Uniqueness of Definition of an Analytic Function 76 a. Zeros of an analytic function 76 b. Uniqueness theorem 77 Chapter 3. ANALYTIC CONTINUATION. ELEMENTARY FUNCTIONS OF A COMPLEX VARIABLE 80 3.1. Elementary Functions of a Complex Variable. Continuation from the Real Axis 80 a. Continuation from the real axis 80 b. Continuation of relations 84 c. Properties of elementary functions 87 d. Mappings of elementary functions 91 3.2. Analytic Continuation. The Riemann Surface 95 a. Basic principles. The concept of a Riemann surface 95 b. Analytic continuation across a boundary 98 c. Examples in constructing analytic continuations. Continuation across a boundary 100 d. Examples in constructing analytic continuations. Continuation by means of power series 105 e. Regular and singular points of an analytic function 108 f. The concept of a complete analytic function 111 Chapter 4. THE LAURENT SERIES AND ISOLATED SINGULAR POINTS 113 4.1. The Laurent Series 113 a. The domain of convergence of a Laurent series 113 b. Expansion of an analytic function in a Laurent series 115 4.2. A Classification of the Isolated Singular Points of a Single-Valued Analytic Function 118 Chapter 5. RESIDUES AND THEIR APPLICATIONS 125 5.1. The Residue of an Analytic Function at an Isolated Singularity 125 a. Definition of a residue. Formulas for evaluating residues 125 b. The residue theorem 127 5.2. Evaluation of Definite Integrals by !\leans of Residues 130 a. Integrals of the form $\int^{2 \pi}_{0}R (\cos \theta \sin \theta ) d \theta$ 131 b. Integrals of the form $\int^{\infty}_{\infty} f(x)dx$ 132 c. Integrals of the form $\int^{\infty}_{\infty} \exp(iax)f(x)dx$. Jordan's lemma  135 d. The case of multiple-valued functions 141 5.3. Logarithmic Residue 147 a. The concept of a logarithmic residue 147 b. Counting the number of zeros of an analytic function 149 Chapter 6. CONFORMAL MAPPING 153 6.1. General Properties 153 a. Definition of a conformal mapping 153 b. Elementary examples 157 c. Basic principles 160 d. Riemann's theorem 166 6.2. Linear-Fractional Function 169 6.3. Zhukovsky's Function 179 6.4. Schwartz-Christoffel Integral. Transformation of Polygons 181 Chapter 7. ANALYTIC FUNCTIONS IN THE SOLUTION OF BOUNDARY-VALUE PROBLEMS 191 7. 1. Generalities 191 a. The relationship of analytic and harmonic functions 191 b. Preservation of the Laplace operator in a conformal mapping 192 c. Dirichlet's problem 194 d. Constructing a source function 197 7.2. Applications to Problems in Mechanics and Physics 199 a. Two-dimensional steady-state flow of a fluid 199 b. A two-dimensional electrostatic field 211 Chapter 8. FUNDAMENTALS OF OPERATIONAL CALCULUS 221 8.1. Basic Properties of the Laplace Transformation 221 a. Definition 221 b. Transforms of elementary functions 225 c. Properties of a transform 227 d. Table of properties of transforms 236 e. Table of transforms 236 8.2. Determining the Original Function from the Transform 238 a. Mellin's formula 238 h. Existence conditions of the original function 241 c. Computing the Mellin integral 245 d. The case of a function regular at infinity 249 8.3. Solving Problems for Linear Differential Equations by the Operational Method 252 a. Ordinary differential equations 252 b. Heat-conduction equation 257 c. The boundary-value problem for a partial differential equation 259 Appendix I. SADDLE-POINT METHOD 261 I.1. Introductory Remarks 261 I.2. Laplace's Method 264 I.3. The Saddle-Point Method 271 Appendix II. THE WIENER-HOPF METHOD 280 II.1. Introductory Remarks 280 11.2. Analytic Properties of the Fourier Transformation 284 11.3. Integral Equations with a Difference Kernel 287 II.4. General Scheme of the Wiener-Hopf Method 292 II.5. Problems Which Reduce to Integral Equations with a Difference Kernel 297 a. Derivation of Milne's equation 297 b. Investigating the solution of Milne's equation 301 c. Diffraction on a flat screen 305 II.6. Solving Boundary-Value Problems for Partial Differential Equations by the Wiener-Hopf Method 306 Appendix III. FUNCTIONS OF MANY COMPLEX VARIABLES 310 III.1. Basic Definitions 310 III.2. The Concept of an Analytic Function of Many Complex Variables 311 III.3. Cauchy's Formula 312 III.4. Power Series 314 III.5. Taylor's Series 316 III.6. Analytic Continuation 317 Appendix IV. WATSON'S METHOD 320 References 328 Name Index 329 Subject Index 330

About the book The book covers basic aspects of complex numbers, complex variables and complex functions. It also deals with analytic functions, Laurent series etc. Contents Introduction 9 Chapter 1. THE COMPLEX VARIABLE AND FUNCTIONS OF A COMPLEX VARIABLE 11 1.1. Complex Numbers and Operations on Complex Numbers 11 a. The concept of a complex number 11 b. Operations on complex numbers 11 c. The geometric interpretation of complex numbers 13 d. Extracting the root of a complex number 15 1.2. The Limit of a Sequence of Complex Numbers 17 a. The definition of a convergent sequence 17 b. Cauchy's test 19 c. Point at infinity 19 1.3. The Concept of a Function of a Complex Variable. Continuity 20 a. Basic definitions 20 b. Continuity 23 c. Examples 26 1.4. Differentiating the Function of a Complex Variable 30 a. Definition. Cauchy-Riemann conditions 30 b. Properties of analytic functions 33 c. The geometric meaning of the derivative of a function of a complex variable 35 d. Examples 37 1.5. An Integral with Respect to a Complex Variable 38 a. Basic properties 38 b. Cauchy's Theorem 41 c. Indefinite Integral 44 1.6. Cauchy's Integral 47 a. Deriving Cauchy's formula 47 b. Corollaries to Cauchy's formula 50 c. The maximum-modulus principle of an analytic function 51 1.7. Integrals Dependent on a Parameter 53 a. Analytic dependence on a parameter 53 b. An analytic function and the existence of derivatives of all orders 55 Chapter 2. SERIES OF ANALYTIC FUNCTIONS 58 2.1. Uniformly Convergent Series of Functions of a Complex Variable 58 a. Number series 58 b. Functional series. Uniform convergence 59 c. Properties of uniformly convergent series. Weierstrass' theorems 62 d. Improper integrals dependent on a parameter 66 2.2. Power Series. Taylor's Series 67 a. Abel's theorem 67 b. Taylor's series 72 c. Examples 74 2.3. Uniqueness of Definition of an Analytic Function 76 a. Zeros of an analytic function 76 b. Uniqueness theorem 77 Chapter 3. ANALYTIC CONTINUATION. ELEMENTARY FUNCTIONS OF A COMPLEX VARIABLE 80 3.1. Elementary Functions of a Complex Variable. Continuation from the Real Axis 80 a. Continuation from the real axis 80 b. Continuation of relations 84 c. Properties of elementary functions 87 d. Mappings of elementary functions 91 3.2. Analytic Continuation. The Riemann Surface 95 a. Basic principles. The concept of a Riemann surface 95 b. Analytic continuation across a boundary 98 c. Examples in constructing analytic continuations. Continuation across a boundary 100 d. Examples in constructing analytic continuations. Continuation by means of power series 105 e. Regular and singular points of an analytic function 108 f. The concept of a complete analytic function 111 Chapter 4. THE LAURENT SERIES AND ISOLATED SINGULAR POINTS 113 4.1. The Laurent Series 113 a. The domain of convergence of a Laurent series 113 b. Expansion of an analytic function in a Laurent series 115 4.2. A Classification of the Isolated Singular Points of a Single-Valued Analytic Function 118 Chapter 5. RESIDUES AND THEIR APPLICATIONS 125 5.1. The Residue of an Analytic Function at an Isolated Singularity 125 a. Definition of a residue. Formulas for evaluating residues 125 b. The residue theorem 127 5.2. Evaluation of Definite Integrals by !\leans of Residues 130 a. Integrals of the form $\int^{2 \pi}_{0}R (\cos \theta \sin \theta ) d \theta$ 131 b. Integrals of the form $\int^{\infty}_{\infty} f(x)dx$ 132 c. Integrals of the form $\int^{\infty}_{\infty} \exp(iax)f(x)dx$. Jordan's lemma  135 d. The case of multiple-valued functions 141 5.3. Logarithmic Residue 147 a. The concept of a logarithmic residue 147 b. Counting the number of zeros of an analytic function 149 Chapter 6. CONFORMAL MAPPING 153 6.1. General Properties 153 a. Definition of a conformal mapping 153 b. Elementary examples 157 c. Basic principles 160 d. Riemann's theorem 166 6.2. Linear-Fractional Function 169 6.3. Zhukovsky's Function 179 6.4. Schwartz-Christoffel Integral. Transformation of Polygons 181 Chapter 7. ANALYTIC FUNCTIONS IN THE SOLUTION OF BOUNDARY-VALUE PROBLEMS 191 7. 1. Generalities 191 a. The relationship of analytic and harmonic functions 191 b. Preservation of the Laplace operator in a conformal mapping 192 c. Dirichlet's problem 194 d. Constructing a source function 197 7.2. Applications to Problems in Mechanics and Physics 199 a. Two-dimensional steady-state flow of a fluid 199 b. A two-dimensional electrostatic field 211 Chapter 8. FUNDAMENTALS OF OPERATIONAL CALCULUS 221 8.1. Basic Properties of the Laplace Transformation 221 a. Definition 221 b. Transforms of elementary functions 225 c. Properties of a transform 227 d. Table of properties of transforms 236 e. Table of transforms 236 8.2. Determining the Original Function from the Transform 238 a. Mellin's formula 238 h. Existence conditions of the original function 241 c. Computing the Mellin integral 245 d. The case of a function regular at infinity 249 8.3. Solving Problems for Linear Differential Equations by the Operational Method 252 a. Ordinary differential equations 252 b. Heat-conduction equation 257 c. The boundary-value problem for a partial differential equation 259 Appendix I. SADDLE-POINT METHOD 261 I.1. Introductory Remarks 261 I.2. Laplace's Method 264 I.3. The Saddle-Point Method 271 Appendix II. THE WIENER-HOPF METHOD 280 II.1. Introductory Remarks 280 11.2. Analytic Properties of the Fourier Transformation 284 11.3. Integral Equations with a Difference Kernel 287 II.4. General Scheme of the Wiener-Hopf Method 292 II.5. Problems Which Reduce to Integral Equations with a Difference Kernel 297 a. Derivation of Milne's equation 297 b. Investigating the solution of Milne's equation 301 c. Diffraction on a flat screen 305 II.6. Solving Boundary-Value Problems for Partial Differential Equations by the Wiener-Hopf Method 306 Appendix III. FUNCTIONS OF MANY COMPLEX VARIABLES 310 III.1. Basic Definitions 310 III.2. The Concept of an Analytic Function of Many Complex Variables 311 III.3. Cauchy's Formula 312 III.4. Power Series 314 III.5. Taylor's Series 316 III.6. Analytic Continuation 317 Appendix IV. WATSON'S METHOD 320 References 328 Name Index 329 Subject Index 330

About the book The book covers basic aspects of complex numbers, complex variables and complex functions. It also deals with analytic functions, Laurent series etc. Contents Introduction 9 Chapter 1. THE COMPLEX VARIABLE AND FUNCTIONS OF A COMPLEX VARIABLE 11 1.1. Complex Numbers and Operations on Complex Numbers 11 a. The concept of a complex number 11 b. Operations on complex numbers 11 c. The geometric interpretation of complex numbers 13 d. Extracting the root of a complex number 15 1.2. The Limit of a Sequence of Complex Numbers 17 a. The definition of a convergent sequence 17 b. Cauchy's test 19 c. Point at infinity 19 1.3. The Concept of a Function of a Complex Variable. Continuity 20 a. Basic definitions 20 b. Continuity 23 c. Examples 26 1.4. Differentiating the Function of a Complex Variable 30 a. Definition. Cauchy-Riemann conditions 30 b. Properties of analytic functions 33 c. The geometric meaning of the derivative of a function of a complex variable 35 d. Examples 37 1.5. An Integral with Respect to a Complex Variable 38 a. Basic properties 38 b. Cauchy's Theorem 41 c. Indefinite Integral 44 1.6. Cauchy's Integral 47 a. Deriving Cauchy's formula 47 b. Corollaries to Cauchy's formula 50 c. The maximum-modulus principle of an analytic function 51 1.7. Integrals Dependent on a Parameter 53 a. Analytic dependence on a parameter 53 b. An analytic function and the existence of derivatives of all orders 55 Chapter 2. SERIES OF ANALYTIC FUNCTIONS 58 2.1. Uniformly Convergent Series of Functions of a Complex Variable 58 a. Number series 58 b. Functional series. Uniform convergence 59 c. Properties of uniformly convergent series. Weierstrass' theorems 62 d. Improper integrals dependent on a parameter 66 2.2. Power Series. Taylor's Series 67 a. Abel's theorem 67 b. Taylor's series 72 c. Examples 74 2.3. Uniqueness of Definition of an Analytic Function 76 a. Zeros of an analytic function 76 b. Uniqueness theorem 77 Chapter 3. ANALYTIC CONTINUATION. ELEMENTARY FUNCTIONS OF A COMPLEX VARIABLE 80 3.1. Elementary Functions of a Complex Variable. Continuation from the Real Axis 80 a. Continuation from the real axis 80 b. Continuation of relations 84 c. Properties of elementary functions 87 d. Mappings of elementary functions 91 3.2. Analytic Continuation. The Riemann Surface 95 a. Basic principles. The concept of a Riemann surface 95 b. Analytic continuation across a boundary 98 c. Examples in constructing analytic continuations. Continuation across a boundary 100 d. Examples in constructing analytic continuations. Continuation by means of power series 105 e. Regular and singular points of an analytic function 108 f. The concept of a complete analytic function 111 Chapter 4. THE LAURENT SERIES AND ISOLATED SINGULAR POINTS 113 4.1. The Laurent Series 113 a. The domain of convergence of a Laurent series 113 b. Expansion of an analytic function in a Laurent series 115 4.2. A Classification of the Isolated Singular Points of a Single-Valued Analytic Function 118 Chapter 5. RESIDUES AND THEIR APPLICATIONS 125 5.1. The Residue of an Analytic Function at an Isolated Singularity 125 a. Definition of a residue. Formulas for evaluating residues 125 b. The residue theorem 127 5.2. Evaluation of Definite Integrals by !\leans of Residues 130 a. Integrals of the form $\int^{2 \pi}_{0}R (\cos \theta \sin \theta ) d \theta$ 131 b. Integrals of the form $\int^{\infty}_{\infty} f(x)dx$ 132 c. Integrals of the form $\int^{\infty}_{\infty} \exp(iax)f(x)dx$. Jordan's lemma  135 d. The case of multiple-valued functions 141 5.3. Logarithmic Residue 147 a. The concept of a logarithmic residue 147 b. Counting the number of zeros of an analytic function 149 Chapter 6. CONFORMAL MAPPING 153 6.1. General Properties 153 a. Definition of a conformal mapping 153 b. Elementary examples 157 c. Basic principles 160 d. Riemann's theorem 166 6.2. Linear-Fractional Function 169 6.3. Zhukovsky's Function 179 6.4. Schwartz-Christoffel Integral. Transformation of Polygons 181 Chapter 7. ANALYTIC FUNCTIONS IN THE SOLUTION OF BOUNDARY-VALUE PROBLEMS 191 7. 1. Generalities 191 a. The relationship of analytic and harmonic functions 191 b. Preservation of the Laplace operator in a conformal mapping 192 c. Dirichlet's problem 194 d. Constructing a source function 197 7.2. Applications to Problems in Mechanics and Physics 199 a. Two-dimensional steady-state flow of a fluid 199 b. A two-dimensional electrostatic field 211 Chapter 8. FUNDAMENTALS OF OPERATIONAL CALCULUS 221 8.1. Basic Properties of the Laplace Transformation 221 a. Definition 221 b. Transforms of elementary functions 225 c. Properties of a transform 227 d. Table of properties of transforms 236 e. Table of transforms 236 8.2. Determining the Original Function from the Transform 238 a. Mellin's formula 238 h. Existence conditions of the original function 241 c. Computing the Mellin integral 245 d. The case of a function regular at infinity 249 8.3. Solving Problems for Linear Differential Equations by the Operational Method 252 a. Ordinary differential equations 252 b. Heat-conduction equation 257 c. The boundary-value problem for a partial differential equation 259 Appendix I. SADDLE-POINT METHOD 261 I.1. Introductory Remarks 261 I.2. Laplace's Method 264 I.3. The Saddle-Point Method 271 Appendix II. THE WIENER-HOPF METHOD 280 II.1. Introductory Remarks 280 11.2. Analytic Properties of the Fourier Transformation 284 11.3. Integral Equations with a Difference Kernel 287 II.4. General Scheme of the Wiener-Hopf Method 292 II.5. Problems Which Reduce to Integral Equations with a Difference Kernel 297 a. Derivation of Milne's equation 297 b. Investigating the solution of Milne's equation 301 c. Diffraction on a flat screen 305 II.6. Solving Boundary-Value Problems for Partial Differential Equations by the Wiener-Hopf Method 306 Appendix III. FUNCTIONS OF MANY COMPLEX VARIABLES 310 III.1. Basic Definitions 310 III.2. The Concept of an Analytic Function of Many Complex Variables 311 III.3. Cauchy's Formula 312 III.4. Power Series 314 III.5. Taylor's Series 316 III.6. Analytic Continuation 317 Appendix IV. WATSON'S METHOD 320 References 328 Name Index 329 Subject Index 330

Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

"Note on the Functions Defined by Infinite Series Whose Terms are Analytic Functions of a Complex Variable; with Corresponding Theorems for Definite Integrals" is an article from The Annals of Mathematics, Volume 3 . View more articles from The Annals of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1967630

"Note on the Functions Defined by Infinite Series Whose Terms are Analytic Functions of a Complex Variable; with Corresponding Theorems for Definite Integrals" is an article from The Annals of Mathematics, Volume 3 . View more articles from The Annals of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1967630

"Note on the Functions Defined by Infinite Series Whose Terms are Analytic Functions of a Complex Variable; with Corresponding Theorems for Definite Integrals" is an article from The Annals of Mathematics, Volume 3 . View more articles from The Annals of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1967630

"Note on the Functions Defined by Infinite Series Whose Terms are Analytic Functions of a Complex Variable; with Corresponding Theorems for Definite Integrals" is an article from The Annals of Mathematics, Volume 3 . View more articles from The Annals of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-1967630

vii, 384 p. 24 cm

Book Source: Digital Library of India Item 2015.509804 dc.contributor.author: Copson E.t dc.date.accessioned: 2015-09-29T15:14:58Z dc.date.available: 2015-09-29T15:14:58Z dc.date.copyright: 1935 dc.date.digitalpublicationdate: 2012 dc.date.citation: 1935 dc.identifier.other: 136727 dc.identifier.barcode: 99999990855366 dc.identifier.origpath: /data55/upload/0057/083 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/509804 dc.description.scannerno: 2 dc.description.scanningcentre: Allama Iqbal Library, University of Kashmir dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 460 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: Delhi, Oxford University Press,bombay,calcutta And Madras dc.rights: In Public Domain dc.source.library: Allam Iqbal Library Kashmir University dc.subject.classification: Natural Sciences dc.subject.classification: Mathematics dc.title: An Introduction To The Theory Of Functions Of A Complex Variable dc.type: Print - Paper dc.type: Book

Book Source: Digital Library of India Item 2015.509804 dc.contributor.author: Copson E.t dc.date.accessioned: 2015-09-29T15:14:58Z dc.date.available: 2015-09-29T15:14:58Z dc.date.copyright: 1935 dc.date.digitalpublicationdate: 2012 dc.date.citation: 1935 dc.identifier.other: 136727 dc.identifier.barcode: 99999990855366 dc.identifier.origpath: /data55/upload/0057/083 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/509804 dc.description.scannerno: 2 dc.description.scanningcentre: Allama Iqbal Library, University of Kashmir dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 460 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: Delhi, Oxford University Press,bombay,calcutta And Madras dc.rights: In Public Domain dc.source.library: Allam Iqbal Library Kashmir University dc.subject.classification: Natural Sciences dc.subject.classification: Mathematics dc.title: An Introduction To The Theory Of Functions Of A Complex Variable dc.type: Print - Paper dc.type: Book

Book Source: Digital Library of India Item 2015.509804 dc.contributor.author: Copson E.t dc.date.accessioned: 2015-09-29T15:14:58Z dc.date.available: 2015-09-29T15:14:58Z dc.date.copyright: 1935 dc.date.digitalpublicationdate: 2012 dc.date.citation: 1935 dc.identifier.other: 136727 dc.identifier.barcode: 99999990855366 dc.identifier.origpath: /data55/upload/0057/083 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/509804 dc.description.scannerno: 2 dc.description.scanningcentre: Allama Iqbal Library, University of Kashmir dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 460 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher.digitalrepublisher: Digital Library Of India dc.publisher: Delhi, Oxford University Press,bombay,calcutta And Madras dc.rights: In Public Domain dc.source.library: Allam Iqbal Library Kashmir University dc.subject.classification: Natural Sciences dc.subject.classification: Mathematics dc.title: An Introduction To The Theory Of Functions Of A Complex Variable dc.type: Print - Paper dc.type: Book

Source: Digital Library of India Scanning Centre: Allama Iqbal Library, University of Kashmir Source Library: Women College M.A Road Srinagar Date Accessioned: 7/14/2015 21:44 The Digital Library of India was a project under the auspices of the Government of India.

Source: Digital Library of India Scanning Centre: Allama Iqbal Library, University of Kashmir Source Library: Women College M.A Road Srinagar Date Accessioned: 7/14/2015 21:44 The Digital Library of India was a project under the auspices of the Government of India.

The metadata below describe the original scanning. Follow the "All Files: HTTP" link in the "View the book" box to the left to find XML files that contain more metadata about the original images and the derived formats (OCR results, PDF etc.). See also the What is the directory structure for the texts? FAQ for information about file content and naming conventions.

The metadata below describe the original scanning. Follow the "All Files: HTTP" link in the "View the book" box to the left to find XML files that contain more metadata about the original images and the derived formats (OCR results, PDF etc.). See also the What is the directory structure for the texts? FAQ for information about file content and naming conventions.

The metadata below describe the original scanning. Follow the "All Files: HTTP" link in the "View the book" box to the left to find XML files that contain more metadata about the original images and the derived formats (OCR results, PDF etc.). See also the What is the directory structure for the texts? FAQ for information about file content and naming conventions.

While integrals like _ f(z) dz and _ M dx+ N dy have been de�ned in the text (p.101), di_erential forms like dx, dy and dz = dx + i dy have not been de�ned (and the de�nition is more subtle), we shall develop the theory of harmonic functions (p.162-170) without di_erential forms.

While integrals like _ f(z) dz and _ M dx+ N dy have been de�ned in the text (p.101), di_erential forms like dx, dy and dz = dx + i dy have not been de�ned (and the de�nition is more subtle), we shall develop the theory of harmonic functions (p.162-170) without di_erential forms.

While integrals like _ f(z) dz and _ M dx+ N dy have been de�ned in the text (p.101), di_erential forms like dx, dy and dz = dx + i dy have not been de�ned (and the de�nition is more subtle), we shall develop the theory of harmonic functions (p.162-170) without di_erential forms.

viii, 218 p. illus. ; 23 cm

viii, 218 p. illus. ; 23 cm

viii, 218 p. illus. ; 23 cm

viii, 218 p. illus. ; 23 cm

viii, 218 p. illus. ; 23 cm

viii, 218 p. illus. ; 23 cm

Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

"A Graphical Aid in the Study of Functions of a Complex Variable" is an article from The American Mathematical Monthly, Volume 27 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2972550

xiii, 288 p. 25 cm

Classical reference on Theory of functions of complex variable

"On Functions Defined by an Infinite Series of Analytic Functions of a Complex Variable" is an article from The Annals of Mathematics, Volume 6 . View more articles from The Annals of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2007157

"On Functions Defined by an Infinite Series of Analytic Functions of a Complex Variable" is an article from The Annals of Mathematics, Volume 6 . View more articles from The Annals of Mathematics . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2007157

xxiv, 855, [1] p. 27 cm

xxiv, 855, [1] p. 27 cm

xxiv, 855, [1] p. 27 cm

xxiv, 855, [1] p. 27 cm

xxiv, 855, [1] p. 27 cm

xiii, 432 p. 21 cm

This is an appendix to the English translation of the book by A. A. Goldberg and I. V. Ostrovskii, Distribution of values of meromorphic functions, Moscow, Nauka, 1970. An English translation of this book is to be published soon by the AMS. In this appendix we survey the results obtained on the topics of the book after 1970.

This is an appendix to the English translation of the book by A. A. Goldberg and I. V. Ostrovskii, Distribution of values of meromorphic functions, Moscow, Nauka, 1970. An English translation of this book is to be published soon by the AMS. In this appendix we survey the results obtained on the topics of the book after 1970.

Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.

14

14