Infinitesimal Calculus (eBook)

James M. Henle, Eugene M. Kleinberg (Autoren)

eBook Download: EPUB

2014
Dover Publications (Verlag)
9780486151014 (ISBN)

Infos

Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.

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Rigorous undergraduate treatment introduces calculus at the basic level, using infinitesimals and concentrating on theory rather than applications. Requires only a solid foundation in high school mathematics. Contents: 1. Introduction. 2. Language and Structure. 3. The Hyperreal Numbers. 4. The Hyperreal Line. 5. Continuous Functions. 6. Integral Calculus. 7. Differential Calculus. 8. The Fundamental Theorem. 9. Infinite Sequences and Series. 10. Infinite Polynomials. 11. The Topology of the Real Line. 12. Standard Calculus and Sequences of Functions. Appendixes. Subject Index. Name Index. Numerous figures. 1979 edition.

Produkt-Details

• Erscheint lt. Verlag: 15.1.2014
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: accessible introductions • Algebraic Geometry • Applications • approachable • arithmetic • bartle • Berge • books on algebraic geometries • books on communication theories • books on differential calculus • books on differential equations • books on graph theories • books on integral calculus • books on mathematical contents • books on modern texts • books on pure mathematics • books on school mathematics • books on school texts • books on self studies • books on signal processings • books on theory stands • chartrand • classic text • Claude Shannon • Coburn • coddington • Communication theory • Coxeter • Differential Calculus • Differential Equations • Dover • Edwards • Engineering • Entropy • epsilon-delta • Euclid • Exercises • Fourier • Graphs • graph theory • Greenberg • hamiltonian • Hartog • hyperreal • infinitesimals • Information Theory • Integral calculus • introductory • intuitive • Krantz • left-hand column • leibniz • linear algebra • logarithms • Manual • Math Competition • mathematical content • Mathematical Notation • mathematical proofs • mathematical reasoning • mathematical rigor • Mathematical Theory • math majors • Matrix • maximum information • missing concepts • modern texts • Multidimensional • Newton • non-standard analysis • nonstandard analysis • Partial • Pierce • polynomials • Probability • Projective Geometry • pugh • pure math • Pure Mathematics • Rigorous • school mathematics • school texts • self study • Self-study • Signal Processing • Solutions • statics • Statistics • Stewart • Stoll • Suggestion • Taylor • Textbook • Theorems • theory applied • theory stands • Topology • trig • Trigonometry • Trudeau • Wilson • wylie • yeh
• ISBN-13: 9780486151014 / 9780486151014