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Books on the topic 'Mathematical Proof and Demonstration'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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1

G, Dhombres Jean, ed. Une histoire de l'imaginaire mathématique: Vers le théorème fondamental de l'algèbre et sa demonstration par Laplace en 1795. Paris: Hermann, 2011.

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2

1957-, Taylor John, ed. 100% mathematical proof. Chichester: Wiley, 1996.

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3

Rowan, Garnier, ed. Understanding mathematical proof. Boca Raton: Taylor & Francis, 2014.

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4

Stirling, David S. G. Mathematical analysis and proof. 2nd ed. Chichester, UK: Horwood Pub., 2009.

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5

Stirling, David S. G. Mathematical analysis and proof. 2nd ed. Chichester, UK: Horwood Pub., 2009.

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6

Mathematical reasoning: Writing and proof. 2nd ed. Upper Saddle River, N.J: Pearson Prentice Hall, 2007.

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7

Mathematical reasoning: Writing and proof. Upper Saddle River, N.J: Prentice Hall, 2003.

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8

Norman, E. Logic and proof. Needham Heights, MA: Ginn Press, 1991.

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9

Dragalin, Alʹbert Grigorʹevich. Mathematical intuitionism: Introduction to proof theory. Providence, R.I: American Mathematical Society, 1988.

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10

Havil, Julian. Nonplussed!: Mathematical proof of implausible ideas. Princeton, N.J: Princeton University Press, 2011.

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11

Benson, Donald C. The moment of proof: Mathematical epiphanies. New York: Oxford University Press, 1999.

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12

Fetisov, A. I. Proof in geometry. Mineola, N.Y: Dover Publications, 2006.

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13

service), SpringerLink (Online, ed. A Logical Introduction to Proof. New York, NY: Springer New York, 2012.

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14

On the shape of mathematical arguments. Berlin: Springer-Verlag, 1990.

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15

Lay, Steven R. Analysis: An introduction to proof. Englewood Cliffs, N.J: Prentice-Hall, 1986.

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16

Schwartz, Diane Driscoll. Conjecture & proof: An introduction to mathematical thinking. Fort Worth: Saunders College Pub., 1997.

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17

service), SpringerLink (Online, ed. The Proof is in the Pudding: The Changing Nature of Mathematical Proof. New York, NY: Springer Science+Business Media, LLC, 2011.

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18

Pym, David J. Reductive logic and proof-search: Proof theory, semantics, and control. Oxford: Clarendon Press, 2004.

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19

Eisenberg, Murray. The mathematical method: A transition to advanced mathematics. Upper Saddle River, N.J: Prentice Hall, 1996.

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20

Tracking reason: Proof, consequence, and truth. New York: Oxford University Press, 2005.

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21

Azzouni, Jody. Tracking reason: Proof, consequence, and truth. New York, NY: Oxford University Press, 2006.

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22

Lay, Steven R. Analysis: With an introduction to proof. 3rd ed. Upper Saddle River, N.J: Prentice Hall, 2000.

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23

Lay, Steven R. Analysis: With an introduction to proof. 4th ed. Upper Saddle River, NJ: Pearson Prentice Hall, 2006.

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24

Lay, Steven R. Analysis: With an introduction to proof. 2nd ed. Englewood Cliffs, N.J: Prentice Hall, 1990.

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25

1938-, Polimeni Albert D., and Zhang Ping 1957-, eds. Mathematical proofs: A transition to advanced mathematics. 3rd ed. Boston: Pearson Education, 2013.

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26

Agler, David W. Symbolic logic: Syntax, semantics, and proof. Lanham, Md: Rowman & Littlefield Publishers, 2012.

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27

Morash, Ronald P. Bridge to abstract mathematics: Mathematical proof and structures. New York, NY: Random House, 1987.

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28

Morash, Ronald P. Bridge to abstract mathematics: Mathematical proof and structures. 2nd ed. New York: McGraw-Hill, 1991.

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29

Morash, Ronald P. Bridge to abstract mathematics: Mathematical proof and structures. New York, NY: Random House, 1987.

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30

Natural deduction: A proof-theoretical study. Mineola, NY: Dover Publications, 2006.

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31

Resolution proof systems: An algebraic theory. Dordrecht: Kluwer Academic Publishers, 1996.

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32

Wójtowicz, Krzysztof. O pojęciu dowodu w matematyce: The notion of mathematical proof. Toruń: Wydawnictwo Naukowe Uniwersytetu Mikołaja Kopernika, 2012.

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33

The nuts and bolts of proofs: An introduction to mathematical proofs. 4th ed. Amsterdam: Elsevier Academic Press, 2013.

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34

Eccles, Peter J. An introduction to mathematical reasoning: Lectures on numbers, sets, and functions. New York: Cambridge University Press, 1997.

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35

Proof, logic, and conjecture: The mathematician's toolbox. New York: W.H. Freeman, 1998.

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36

Kant, Immanuel. Der Einzig mögliche Beweisgrund zu einer Demonstration des Daseins Gottes. Hamburg: Felix Meiner Verlag, 2011.

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37

Buchholz, Wilfried. Proof theory of impredicative subsystems of analysis. Napoli: Bibliopolis, 1988.

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38

Wansing, H. Proof theory of modal logic. Dordrecht: Springer, 1996.

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39

Introduction to mathematical proof: A transition to advanced mathematics. Boca Raton: CRC Press, Taylor & Francis Group, 2015.

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40

Kant, Immanuel. Der einzig mögliche Beweisgrund =: The one possible basis for a demonstration of the existence of God. Lincoln: University of Nebraska Press, 1994.

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41

Royal Society (Great Britain). Discussion Meeting. The nature of mathematical proof: Papers of a discussion meeting. London: The Royal Society, 2005.

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42

Stachniak, Zbigniew. Resolution Proof Systems: An Algebraic Theory. Dordrecht: Springer Netherlands, 1996.

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43

Forcing with random variables and proof complexity. Cambridge: Cambridge University Press, 2011.

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44

Taylor, Alan D. Mathematics and politics: Strategy, voting, power and proof. New York: Springer-Verlag, 1995.

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45

M, Pacelli Allison, ed. Mathematics and politics: Strategy, voting, power, and proof. New York: Springer, 2008.

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46

Truth through proof: A formalist foundation for mathematics. Oxford: Clarendon Press, 2010.

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47

La demonstration mathematique dans l'histoire. Diffusion IREM de Lyon, 1990.

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48

Kaloshin, Vadim, and Ke Zhang. Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691202525.001.0001.

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Abstract:

Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. This book provides the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five-dimensional integrable systems (two and a half degrees of freedom). This proof realizes a plan John Mather announced in 2003 but was unable to complete before his death. The book follows Mather's strategy but emphasizes a more Hamiltonian approach, tying together normal forms theory, hyperbolic theory, Mather theory, and weak KAM theory. Offering a complete, clean, and modern explanation of the steps involved in the proof, and a clear account of background material, the book is designed to be accessible to students as well as researchers. The result is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems.

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49

(Editor), Georg Gottlob, Alexander Leitsch (Editor), and Daniele Mundici (Editor), eds. Computational Logic and Proof Theory: Third Kurt Gödel Colloquium, KGC'93, Brno, Czech Republic, August 24-27, 1993. Proceedings (Lecture Notes in Computer Science). Springer, 1993.

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50

Taylor, John, and Rowan Garnier. Understanding Mathematical Proof. Chapman and Hall/CRC, 2016. http://dx.doi.org/10.1201/b16620.

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