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3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton
| 3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton |
| Autore | Sonar Th (Thomas) |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (XX, 706 p. 396 illus., 267 illus. in color.) |
| Disciplina | 515.09 |
| Soggetto topico |
Mathematical analysis - History
Mathematical analysis |
| ISBN | 3-030-58223-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Prologue: 3000 Years of Analysis -- The Continuum in Greek-Hellenistic Antiquity -- How Knowledge Migrates – From Orientto Occident -- Continuum and Atomismin Scholasticism -- Indivisibles and Infinitesimals in the Renaissance -- At the Turn from the 16th to the 17thCentury -- Newton and Leibniz-Giants and Opponents -- Absolutism ,Enlightenment, Departure to New Shores -- On the Way to Conceptual Rigourin the 19th Century -- At theTurn to the 20th Century: Set Theory and the Search for the True Continuum -- Coming to full circle: Infinitesimals in Nonstandard Analysis. |
| Record Nr. | UNISA-996466414203316 |
Sonar Th (Thomas)
|
||
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton
| 3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton |
| Autore | Sonar Th (Thomas) |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (XX, 706 p. 396 illus., 267 illus. in color.) |
| Disciplina | 515.09 |
| Soggetto topico |
Mathematical analysis - History
Mathematical analysis |
| ISBN | 3-030-58223-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Prologue: 3000 Years of Analysis -- The Continuum in Greek-Hellenistic Antiquity -- How Knowledge Migrates – From Orientto Occident -- Continuum and Atomismin Scholasticism -- Indivisibles and Infinitesimals in the Renaissance -- At the Turn from the 16th to the 17thCentury -- Newton and Leibniz-Giants and Opponents -- Absolutism ,Enlightenment, Departure to New Shores -- On the Way to Conceptual Rigourin the 19th Century -- At theTurn to the 20th Century: Set Theory and the Search for the True Continuum -- Coming to full circle: Infinitesimals in Nonstandard Analysis. |
| Record Nr. | UNINA-9910484572903321 |
|
Sonar Th (Thomas)
|
||
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis and synthesis in mathematics : history and philosophy / edited by Michael Otte and Marco Panza
| Analysis and synthesis in mathematics : history and philosophy / edited by Michael Otte and Marco Panza |
| Pubbl/distr/stampa | Dordrecht ; Boston : Kluwer Academic Publishers, c1997 |
| Descrizione fisica | xiii, 440 p. : ill. ; 25 cm |
| Disciplina | 515.09 |
| Altri autori (Persone) |
Otte, Michael
Panza, Marco |
| Collana | Boston studies in the philosophy of science ; v. 196 |
| Soggetto topico |
Mathematical analysis - History
Mathematics - Philosophy |
| ISBN | 0792345703 (acid-free paper) |
| Classificazione |
1:5
LC Q174 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001622939707536 |
| Dordrecht ; Boston : Kluwer Academic Publishers, c1997 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
A brief history of analysis : with emphasis on philosophy, concepts, and numbers, including Weierstrass' real numbers / / Detlef D. Spalt
| A brief history of analysis : with emphasis on philosophy, concepts, and numbers, including Weierstrass' real numbers / / Detlef D. Spalt |
| Autore | Spalt Detlef D. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (265 pages) |
| Disciplina | 515 |
| Soggetto topico |
Mathematical analysis
Mathematical analysis - History Anàlisi matemàtica Història |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031006500
9783031006494 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- For Whom Is This Book Written? -- Who Can Understand This Book? -- What Is at Stake? -- Who Has Contributed? -- Preface to the Translation -- Contents -- Introduction: The Four Big Topics of This Book -- The Configuration of Mathematics-or: Designing Mathematical Theories -- To Define Is Hard Work! -- Is a Mathematical Proof Beyond Reproach? -- From Confusion to Clarity -- Growing Insight in the Formative Power of Definitions in Mathematics -- The Change, Seen from a Philosophical Viewpoint -- The Formation of Mathematics-or: The Transformations of Analysis -- The Foundational Years -- An Era of Pomposity: Algebraic Analysis -- The Implosion of Algebraic Analysis-and a First Attempt to Replace It -- Implementation of a Capricious Value Analysis -- Outlook: Axiomatics, Analysis Within Set-Theory and a New Kind of Formal Calculation -- The First Mathematical News in This Book: The Archetype of Today's Analysis (from Cauchy) -- The Second Mathematical News in This Book: A Third Construction of the Real Numbers (by Weierstraß) -- The Historiographical Hallmarks of This Book -- In Substance -- In Method -- All Told -- 1 The Invention of the Mathematical Formula -- Who Invented the Mathematical Formula? -- How Did Descartes Invent the Mathematical Formula? -- Transfer Arithmetic into Geometry! -- Solve Problems! -- Why Does Descartes Have Those Ideas? -- What Is x for Descartes? -- Literature -- 2 Numbers, Line Segments, Points-But No Curved Lines -- Mathematics Is in Need of Systematization -- True and False Roots -- What Are False Roots? And What Is Their Use? -- Turn False into True -- The Geometrical Advantage of Equations -- Analysis: From Problem to Equation -- Interjection: Continuity -- Synthesis: From Points to Curved Lines? (I) -- The Admissible Curved Lines -- Synthesis: From Points to Curved Lines? (II).
Descartes' Geometrical Successes and His Failure -- Literature -- 3 Lines and Variables -- From Two to Infinity: Leibniz' Conception of the World -- Leibniz' Mathematical Writings -- Leibniz' Theorem: Fresh from the Creator! -- The Convergence of Infinite Series -- Leibniz' Formulation of His Theorem -- Leibniz' Proof of His Theorem -- Reflection on Leibniz' Achievement -- An Idea Which Leibniz Could not Grasp and the Reason for His Inability -- The Precise Calculation of Areas Bounded by Curves: The Integral -- The Beginning Is Easy -- The Problem -- The Solution of Leibniz-The Original Way -- Outlook -- Leibniz' Neat Construction of the Concept of a Differential -- The First Publication: A False Start -- Another False Start: The New Edition -- The Neat Construction, Part I -- Interlude: The General Rule: The Law of Continuity -- The Neat Construction, Part II -- What Is x (and What Is dx) for Leibniz? -- Literature -- 4 Indivisible: An Old Notion (Or, What Is the Continuum Made of?) -- A Modern Theory? -- Leibniz Knew His Theory Was Descended from an Old Tradition -- The Continuum and Why It Does Not Consist of Points -- What Is the Continuum? -- How Do Continuum and Point Interact? -- The Continuum Does Not Consist of Points -- The Indivisible -- Thomas Aquinas -- Nicholas of Cusa -- Buonaventura Cavalieri -- Evangelista Torricelli -- Why Are ``All the Lines'' Not the Area? -- Newton's Method of Fluxions -- Newton's Method -- An Example -- Fluxions and Fluents -- Literature -- 5 Do Infinite Numbers Exist?-An Unresolved Dispute Between Leibniz and Johann Bernoulli -- A Correspondence -- The Subject of the Controversy -- Harmony -- Johann Bernoulli's Exciting Position -- Johann Bernoulli's Prudence -- Another Shared (Mathematical) Point of View … -- … with Different, Even Contrary Consequences -- Johann Bernoulli's Position in Dispute. Johann Bernoulli Argues -- Leibniz Holds Against -- Johann Bernoulli Provides the Evidence for His View -- Leibniz Is Doubtful -- The End of This Debate: The Disagreement Continues to Exist -- Looking Ahead -- Considering the Real Significance of This Problem: An Inconsistency in the Actual Mathematical Thinking -- Decimal Numbers Today: Like Johann Bernoulli Then -- Natural Numbers Today: Like Leibniz Then -- Upshot: Anything Goes in Today's Mathematics! -- Literature -- 6 Johann Bernoulli's Rules for Differentials-What Does ``Equal'' Mean? -- Johann Bernoulli's Rules for Differentials-Part 1: Preparation -- Review of Leibniz' Ideas -- Johann Bernoulli Generalizes -- From Leibniz' Law of Continuity to Johann Bernoulli's First Postulate -- What Does ``Equal'' Mean? -- The Evident Facts -- What Johann Bernoulli's First Postulate Is All About -- How This Could Be Written -- What Is This Huge Step About? -- The Equalities Must Be Consistent -- Johann Bernoulli's Rules for Differentials-Part 2: Execution -- Rules 1 and 2: Addition and Subtraction -- Rules 3 and 4: Multiplication and Division -- Rule 5: Roots -- The First Book Containing the Rules for Differentials Stems from de l'Hospital -- A Precursor of de l'Hospital's Book! -- An Unsuitable Justification of the Rules for Differentials -- Literature -- 7 Euler and the Absolute Reign of Formal Calculation -- The Absolute Monarch of Eighteenth Century Mathematics -- The Invention of the Principal Notion of Analysis: ``Function'' -- The Components of Functions: Quantities -- What Is a Quantity? -- What is a quantity? -- The First Kinds of Quantities. Euler's Characterization of Quantities Is Insufficient -- The first kinds of quantities. Euler's characterization of quantities is insufficient -- The Second Kind of Quantities -- The second kind of quantities -- Euler's Algebraic Concept of Function. Euler's algebraic concept of function -- Simple but Important Consequences from Euler's Notion of Function -- Simple but important consequences from Euler's notion of function -- How Did Euler Denote Functions? -- A Standard Form for Functions -- Our Problems with This Theorem of Euler -- Our problems with this theorem of Euler -- A Daring Calculation with Infinite Numbers -- From the Powers of Ten to the Exponential Quantity -- From the powers of ten to the exponential quantity -- The Exponential Function -- The exponential function -- The Ingenious Trick-Or: Euler's Cheat -- The ingenious trick-or: Euler's cheat -- Euler's Concepts of Numbers -- Analysis Without Continuity and Convergence -- Continuity According to Euler -- Euler's Second Notion of Function -- Outlook -- Convergence According to Euler -- Convergence and Divergence -- Convergence and divergence -- The True Sum -- To Sum up Euler's Algebraic Analysis -- Literature -- 8 Emphases in Algebraic Analysis After Euler -- d'Alembert: Philosophical Legitimation of Algebraic Analysis as Well as His Critique of Euler's Concept of Function -- d'Alembert's Reflections on the Notion of Quantity -- d'Alembert's Critique -- d'Alembert's Notion of Quantity -- Assessment: d'Alembert's Philosophical Legitimation of Algebraic Analysis -- d'Alembert's Critique of Euler's Notion of Function -- d'Alembert's Impulse: Condorcet -- Lagrange: Making Algebra the Sole Foundation of Analysis -- Lagrange's New Foundation of Analysis: The Base -- The Idea of Lagrange -- A Contemporary Criticism on Lagrange's Plan -- How Does Lagrange Proceed? -- The Fundamental Gap in Lagrange's Proof -- Literature -- 9 Bolzano: The Republican Revolutionary of Analysis -- The Situation -- From the Academies to the University -- Bolzano: The Public Enemy -- A New Meaning of Convergence -- Euler: A Reminder -- Today. The Convergence of Sequences: Two Notions -- The Convergence of Series Today -- The Convergence of Series by Bolzano -- The Remaining Deficiency -- Continuity with a New Meaning -- Convergence Works with Discrete Objects -- Continuity Is Analogous to Convergence -- Continuity of Functions in Bolzano -- The Little Difference Between Then and Now -- The Differences from Euler's Continuity -- Continuity and the Continuous -- Bolzano's Revolutionary Concept of Function -- Bolzano's Definition of the Concept of Function -- Bolzano's Examples of Functions -- Judgement -- Mathematical Consequences of Bolzano's Notion of Function -- Literature -- 10 Cauchy: The Bourgeois Revolutionary as Activistof the Restoration -- Cauchy: The Atipode to Bolzano -- The Heart of Cauchy's Revolution of Analysis -- Mathematical View of Cauchy's Revolution of Analysis -- Cauchy's Concept of Variable Is Determined by ``values'' -- Cauchy Derives ``number'' from ``quantity'' -- ``Quantity'' -- ``Number'' -- The Basic Definition of ``limit'' -- The Unspoken Luxury Version of the Concept of Limit -- What Is the Difference? -- ``Function'' and ``value of a function'' in Cauchy -- The Concept of Function in Cauchy -- The New in Cauchy's Concept of Function and a New Style of Notation -- Cauchy's Concept of Function Is as Conservative as Possible for a Revolutionary -- Cauchy's Concept of the Value of a Function -- Cauchy's Concept ``value of a function'': A First Example -- A Surprise: Cauchy's ``limit'' Is Not Unambiguous! -- A Second Example Relevant to Cauchy's Concept ``value of a function'' -- Some Very Surprising Consequences from Cauchy's Concept of ``value of a function'' -- The Methodical Significance of Cauchy's Definition of This Concept -- The Historical Significance of Cauchy's Definition of This Concept. The Political Significance of Cauchy's Definition of This Concept. |
| Record Nr. | UNINA-9910586595903321 |
|
Spalt Detlef D.
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A brief history of analysis : with emphasis on philosophy, concepts, and numbers, including Weierstrass' real numbers / / Detlef D. Spalt
| A brief history of analysis : with emphasis on philosophy, concepts, and numbers, including Weierstrass' real numbers / / Detlef D. Spalt |
| Autore | Spalt Detlef D. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (265 pages) |
| Disciplina | 515 |
| Soggetto topico |
Mathematical analysis
Mathematical analysis - History Anàlisi matemàtica Història |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031006500
9783031006494 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- For Whom Is This Book Written? -- Who Can Understand This Book? -- What Is at Stake? -- Who Has Contributed? -- Preface to the Translation -- Contents -- Introduction: The Four Big Topics of This Book -- The Configuration of Mathematics-or: Designing Mathematical Theories -- To Define Is Hard Work! -- Is a Mathematical Proof Beyond Reproach? -- From Confusion to Clarity -- Growing Insight in the Formative Power of Definitions in Mathematics -- The Change, Seen from a Philosophical Viewpoint -- The Formation of Mathematics-or: The Transformations of Analysis -- The Foundational Years -- An Era of Pomposity: Algebraic Analysis -- The Implosion of Algebraic Analysis-and a First Attempt to Replace It -- Implementation of a Capricious Value Analysis -- Outlook: Axiomatics, Analysis Within Set-Theory and a New Kind of Formal Calculation -- The First Mathematical News in This Book: The Archetype of Today's Analysis (from Cauchy) -- The Second Mathematical News in This Book: A Third Construction of the Real Numbers (by Weierstraß) -- The Historiographical Hallmarks of This Book -- In Substance -- In Method -- All Told -- 1 The Invention of the Mathematical Formula -- Who Invented the Mathematical Formula? -- How Did Descartes Invent the Mathematical Formula? -- Transfer Arithmetic into Geometry! -- Solve Problems! -- Why Does Descartes Have Those Ideas? -- What Is x for Descartes? -- Literature -- 2 Numbers, Line Segments, Points-But No Curved Lines -- Mathematics Is in Need of Systematization -- True and False Roots -- What Are False Roots? And What Is Their Use? -- Turn False into True -- The Geometrical Advantage of Equations -- Analysis: From Problem to Equation -- Interjection: Continuity -- Synthesis: From Points to Curved Lines? (I) -- The Admissible Curved Lines -- Synthesis: From Points to Curved Lines? (II).
Descartes' Geometrical Successes and His Failure -- Literature -- 3 Lines and Variables -- From Two to Infinity: Leibniz' Conception of the World -- Leibniz' Mathematical Writings -- Leibniz' Theorem: Fresh from the Creator! -- The Convergence of Infinite Series -- Leibniz' Formulation of His Theorem -- Leibniz' Proof of His Theorem -- Reflection on Leibniz' Achievement -- An Idea Which Leibniz Could not Grasp and the Reason for His Inability -- The Precise Calculation of Areas Bounded by Curves: The Integral -- The Beginning Is Easy -- The Problem -- The Solution of Leibniz-The Original Way -- Outlook -- Leibniz' Neat Construction of the Concept of a Differential -- The First Publication: A False Start -- Another False Start: The New Edition -- The Neat Construction, Part I -- Interlude: The General Rule: The Law of Continuity -- The Neat Construction, Part II -- What Is x (and What Is dx) for Leibniz? -- Literature -- 4 Indivisible: An Old Notion (Or, What Is the Continuum Made of?) -- A Modern Theory? -- Leibniz Knew His Theory Was Descended from an Old Tradition -- The Continuum and Why It Does Not Consist of Points -- What Is the Continuum? -- How Do Continuum and Point Interact? -- The Continuum Does Not Consist of Points -- The Indivisible -- Thomas Aquinas -- Nicholas of Cusa -- Buonaventura Cavalieri -- Evangelista Torricelli -- Why Are ``All the Lines'' Not the Area? -- Newton's Method of Fluxions -- Newton's Method -- An Example -- Fluxions and Fluents -- Literature -- 5 Do Infinite Numbers Exist?-An Unresolved Dispute Between Leibniz and Johann Bernoulli -- A Correspondence -- The Subject of the Controversy -- Harmony -- Johann Bernoulli's Exciting Position -- Johann Bernoulli's Prudence -- Another Shared (Mathematical) Point of View … -- … with Different, Even Contrary Consequences -- Johann Bernoulli's Position in Dispute. Johann Bernoulli Argues -- Leibniz Holds Against -- Johann Bernoulli Provides the Evidence for His View -- Leibniz Is Doubtful -- The End of This Debate: The Disagreement Continues to Exist -- Looking Ahead -- Considering the Real Significance of This Problem: An Inconsistency in the Actual Mathematical Thinking -- Decimal Numbers Today: Like Johann Bernoulli Then -- Natural Numbers Today: Like Leibniz Then -- Upshot: Anything Goes in Today's Mathematics! -- Literature -- 6 Johann Bernoulli's Rules for Differentials-What Does ``Equal'' Mean? -- Johann Bernoulli's Rules for Differentials-Part 1: Preparation -- Review of Leibniz' Ideas -- Johann Bernoulli Generalizes -- From Leibniz' Law of Continuity to Johann Bernoulli's First Postulate -- What Does ``Equal'' Mean? -- The Evident Facts -- What Johann Bernoulli's First Postulate Is All About -- How This Could Be Written -- What Is This Huge Step About? -- The Equalities Must Be Consistent -- Johann Bernoulli's Rules for Differentials-Part 2: Execution -- Rules 1 and 2: Addition and Subtraction -- Rules 3 and 4: Multiplication and Division -- Rule 5: Roots -- The First Book Containing the Rules for Differentials Stems from de l'Hospital -- A Precursor of de l'Hospital's Book! -- An Unsuitable Justification of the Rules for Differentials -- Literature -- 7 Euler and the Absolute Reign of Formal Calculation -- The Absolute Monarch of Eighteenth Century Mathematics -- The Invention of the Principal Notion of Analysis: ``Function'' -- The Components of Functions: Quantities -- What Is a Quantity? -- What is a quantity? -- The First Kinds of Quantities. Euler's Characterization of Quantities Is Insufficient -- The first kinds of quantities. Euler's characterization of quantities is insufficient -- The Second Kind of Quantities -- The second kind of quantities -- Euler's Algebraic Concept of Function. Euler's algebraic concept of function -- Simple but Important Consequences from Euler's Notion of Function -- Simple but important consequences from Euler's notion of function -- How Did Euler Denote Functions? -- A Standard Form for Functions -- Our Problems with This Theorem of Euler -- Our problems with this theorem of Euler -- A Daring Calculation with Infinite Numbers -- From the Powers of Ten to the Exponential Quantity -- From the powers of ten to the exponential quantity -- The Exponential Function -- The exponential function -- The Ingenious Trick-Or: Euler's Cheat -- The ingenious trick-or: Euler's cheat -- Euler's Concepts of Numbers -- Analysis Without Continuity and Convergence -- Continuity According to Euler -- Euler's Second Notion of Function -- Outlook -- Convergence According to Euler -- Convergence and Divergence -- Convergence and divergence -- The True Sum -- To Sum up Euler's Algebraic Analysis -- Literature -- 8 Emphases in Algebraic Analysis After Euler -- d'Alembert: Philosophical Legitimation of Algebraic Analysis as Well as His Critique of Euler's Concept of Function -- d'Alembert's Reflections on the Notion of Quantity -- d'Alembert's Critique -- d'Alembert's Notion of Quantity -- Assessment: d'Alembert's Philosophical Legitimation of Algebraic Analysis -- d'Alembert's Critique of Euler's Notion of Function -- d'Alembert's Impulse: Condorcet -- Lagrange: Making Algebra the Sole Foundation of Analysis -- Lagrange's New Foundation of Analysis: The Base -- The Idea of Lagrange -- A Contemporary Criticism on Lagrange's Plan -- How Does Lagrange Proceed? -- The Fundamental Gap in Lagrange's Proof -- Literature -- 9 Bolzano: The Republican Revolutionary of Analysis -- The Situation -- From the Academies to the University -- Bolzano: The Public Enemy -- A New Meaning of Convergence -- Euler: A Reminder -- Today. The Convergence of Sequences: Two Notions -- The Convergence of Series Today -- The Convergence of Series by Bolzano -- The Remaining Deficiency -- Continuity with a New Meaning -- Convergence Works with Discrete Objects -- Continuity Is Analogous to Convergence -- Continuity of Functions in Bolzano -- The Little Difference Between Then and Now -- The Differences from Euler's Continuity -- Continuity and the Continuous -- Bolzano's Revolutionary Concept of Function -- Bolzano's Definition of the Concept of Function -- Bolzano's Examples of Functions -- Judgement -- Mathematical Consequences of Bolzano's Notion of Function -- Literature -- 10 Cauchy: The Bourgeois Revolutionary as Activistof the Restoration -- Cauchy: The Atipode to Bolzano -- The Heart of Cauchy's Revolution of Analysis -- Mathematical View of Cauchy's Revolution of Analysis -- Cauchy's Concept of Variable Is Determined by ``values'' -- Cauchy Derives ``number'' from ``quantity'' -- ``Quantity'' -- ``Number'' -- The Basic Definition of ``limit'' -- The Unspoken Luxury Version of the Concept of Limit -- What Is the Difference? -- ``Function'' and ``value of a function'' in Cauchy -- The Concept of Function in Cauchy -- The New in Cauchy's Concept of Function and a New Style of Notation -- Cauchy's Concept of Function Is as Conservative as Possible for a Revolutionary -- Cauchy's Concept of the Value of a Function -- Cauchy's Concept ``value of a function'': A First Example -- A Surprise: Cauchy's ``limit'' Is Not Unambiguous! -- A Second Example Relevant to Cauchy's Concept ``value of a function'' -- Some Very Surprising Consequences from Cauchy's Concept of ``value of a function'' -- The Methodical Significance of Cauchy's Definition of This Concept -- The Historical Significance of Cauchy's Definition of This Concept. The Political Significance of Cauchy's Definition of This Concept. |
| Record Nr. | UNISA-996485660703316 |
|
Spalt Detlef D.
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
A history of analysis / / Hans Niels Jahnke, editor
| A history of analysis / / Hans Niels Jahnke, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (423 pages) : illustrations |
| Disciplina | 515 |
| Collana | History of Mathematics |
| Soggetto topico | Mathematical analysis - History |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-3892-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480531503321 |
| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A history of analysis / Hans Niels Jahnke, editor
| A history of analysis / Hans Niels Jahnke, editor |
| Pubbl/distr/stampa | Providence, RI : American Mathematical Society |
| Descrizione fisica | ix, 422 p. : ill. ; 27 cm |
| Disciplina | 515 |
| Altri autori (Persone) | Jahnke, Hans Nielsauthor |
| Collana | History of mathematics, 0899-2428 ; 24 |
| Soggetto topico |
Mathematical analysis - History
Analyse mathématique - Histoire |
| ISBN | 0821826239 |
| Classificazione |
AMS 01A
LC QA300.H55 2003 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Antiquity / Rudiger Thiele. Precursors of differentiation and integration / Jan van Maanen. Newton's method and Leibniz's calculus / Niccolo Guicciardini. Algebraic analysis in the 18th century / Hans Niels Jahnke. The origins of analytic mechanics in the 18th century / Marco Panza. The foundation of analysis in the 19th century / Jesper Lutzen. Analysis and physics in the nineteenth century: the case of boundary-value problems / Tom Archibald. Complex function theory, 1780-1900 / Umberto Bottazzini. Theory of measure and integration from Riemann to Lebesgue / Thomas Hochkirchen. The end of the science of quantity: foundations of analysis, 1860-1910 / Moritz Epple. Differential equations: a historical overview to circa 1900 / Tom Archibald. The calculus of variations: a historical survey / Craig Fraser. The origins of functional analysis / Reinhard Siegmund-Schultze |
| Record Nr. | UNISALENTO-991000159129707536 |
| Providence, RI : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
A history of analysis / / Hans Niels Jahnke, editor
| A history of analysis / / Hans Niels Jahnke, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (423 pages) : illustrations |
| Disciplina | 515 |
| Collana | History of Mathematics |
| Soggetto topico | Mathematical analysis - History |
| ISBN | 1-4704-3892-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794725103321 |
| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A history of analysis / / Hans Niels Jahnke, editor
| A history of analysis / / Hans Niels Jahnke, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2003 |
| Descrizione fisica | 1 online resource (423 pages) : illustrations |
| Disciplina | 515 |
| Collana | History of Mathematics |
| Soggetto topico | Mathematical analysis - History |
| ISBN | 1-4704-3892-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910808422603321 |
| Providence, Rhode Island : , : American Mathematical Society : , : London Mathematical Society, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Huygens and Barrow, Newton and Hooke : i primi passi dell'analisi matematica e della teoria delle catastrofi, dalle evolventi ai quasicristalli / Vladimir I. Arnol'd
| Huygens and Barrow, Newton and Hooke : i primi passi dell'analisi matematica e della teoria delle catastrofi, dalle evolventi ai quasicristalli / Vladimir I. Arnol'd |
| Autore | Arnold, Vladimir Igorevic |
| Pubbl/distr/stampa | Torino : Boringhieri, 1996 |
| Descrizione fisica | 111 p. ; 22 cm. |
| Collana | Saggi scientifici / direttore Enrico Bellone |
| Soggetto topico |
Mathematical analysis - History
Mathematical physics - History |
| ISBN | 8833909883 |
| Classificazione |
5(091)
501 LC QA300 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991000998889707536 |
|
Arnold, Vladimir Igorevic
|
||
| Torino : Boringhieri, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
