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Number theory --- Curves, Elliptic --- Forms, Modular --- Courbes elliptiques --- Formes modulaires --- Théorie des nombres --- Number Theory --- 511.33 --- Number study --- Numbers, Theory of --- Algebra --- Modular forms --- Forms (Mathematics) --- Elliptic curves --- Curves, Algebraic --- Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- 511.33 Analytical and multiplicative number theory. Asymptotics. Sieves etc. --- Théorie des nombres --- Analytical and multiplicative number theory. Asymptotics. Sieves etc
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Number theory. --- Cryptography. --- Number Theory --- Nombres, Théorie des --- Théorie des nombres --- Cryptography --- Number theory --- #TELE:SISTA --- 519.72 --- 519.72 Information theory: mathematical aspects --- Information theory: mathematical aspects --- Number study --- Numbers, Theory of --- Algebra --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- cryptografie --- Cryptographie --- Nombres, Théorie des. --- Cryptographie. --- Nombres, Théorie des.
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Number theory --- 519.72 --- 512.742 --- 511 --- 511 Number theory --- 512.742 Abelian varieties and schemes. Elliptic curves --- Abelian varieties and schemes. Elliptic curves --- 519.72 Information theory: mathematical aspects --- Information theory: mathematical aspects --- Number study --- Numbers, Theory of --- Algebra --- Cryptography --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- cryptografie --- Cryptography. --- Cryptographie --- Théorie des nombres --- Number theory.
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Number theory --- Fermat's theorem --- Théorie des nombres --- Fermat, Théorème de --- Fermat's last theorem. --- Number theory. --- Théorie des nombres --- Fermat, Théorème de
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These autobiographical memoirs of Neal Koblitz, coinventor of one of the two most popular forms of encryption and digital signature, cover many topics besides his own personal career in mathematics and cryptography - travels to the Soviet Union, Latin America, Vietnam and elsewhere, political activism, and academic controversies relating to math education, the C. P. Snow two-culture problem, and mistreatment of women in academia. The stories speak for themselves and reflect the experiences of a student and later a scientist caught up in the tumultuous events of his generation.
Mathematics. --- History of Mathematics. --- Number Theory. --- Data Encryption. --- Data Structures, Cryptology and Information Theory. --- Data structures (Computer science). --- Data encryption (Computer science). --- Mathematics_$xHistory. --- Number theory. --- Mathématiques --- Structures de données (Informatique) --- Chiffrement (Informatique) --- Théorie des nombres --- Koblitz, Neal. --- Mathematicians --- World politics --- Mathematics - General --- Mathematics --- Physical Sciences & Mathematics --- Koblitz, Neal, --- Travel. --- Koblit︠s︡, N., --- Koblitz, Neal I. --- History. --- History of Mathematical Sciences.
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Mathematical control systems --- cryptografie --- Curves, Elliptic --- Elliptic curves --- Coding theory --- 512.7 --- 519.72 --- 512.7 Algebraic geometry. Commutative rings and algebras --- Algebraic geometry. Commutative rings and algebras --- 519.72 Information theory: mathematical aspects --- Information theory: mathematical aspects --- Curves, Algebraic --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Codage --- Courbes elliptiques
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621.391.7 --- Computers --- -Cryptography --- 681.3*E3 --- 681.3*E3 Data encryption: data encryption standard DES public key cryptosystems --- Data encryption: data encryption standard DES public key cryptosystems --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- 621.391.7 Secret systems of electrical communication --- Secret systems of electrical communication --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Access control --- Public key cryptography --- 681.3*E3 Data encryption: data encryption standard; DES; public key cryptosystems --- Data encryption: data encryption standard; DES; public key cryptosystems --- Asymmetric cryptography --- Public key cryptosystems --- Public key encryption --- Cryptography --- Computer security --- Cryptography. --- Cryptographie
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A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. It then presents several highlights of 20th century mathematical logic, including theorems of Gödel and Tarski, and Cohen's theorem on the independence of the continuum hypothesis. A unique feature of the text is a discussion of quantum logic. The exposition then moves to a discussion of computability theory that is based on the notion of recursive functions and stresses number-theoretic connections. The text present a complete proof of the theorem of Davis–Putnam–Robinson–Matiyasevich as well as a proof of Higman's theorem on recursive groups. Kolmogorov complexity is also treated. Part III establishes the essential equivalence of proof theory and computation theory and gives applications such as Gödel's theorem on the length of proofs. A new Chapter IX, written by Yuri Manin, treats, among other things, a categorical approach to the theory of computation, quantum computation, and the P/NP problem. A new Chapter X, written by Boris Zilber, contains basic results of model theory and its applications to mainstream mathematics. This theory has found deep applications in algebraic and diophantine geometry. Yuri Ivanovich Manin is Professor Emeritus at Max-Planck-Institute for Mathematics in Bonn, Germany, Board of Trustees Professor at the Northwestern University, Evanston, IL, USA, and Principal Researcher at the Steklov Institute of Mathematics, Moscow, Russia. Boris Zilber, Professor of Mathematical Logic at the University of Oxford, has contributed the Model Theory Chapter for the second edition.
Electronic books. -- local. --- Logic, Symbolic and mathematical. --- Mathematics. --- Math --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Logic. --- Mathematical logic. --- Mathematical Logic and Foundations. --- Science --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Reasoning --- Thought and thinking --- Methodology
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From the reviews: "... focused mainly on complex differential geometry and holomorphic bundle theory. This is a powerful book, written by a very distinguished contributor to the field" (Contemporary Physics )"the book provides a large amount of background for current research across a spectrum of field. ... requires effort to read but it is worthwhile and rewarding" (New Zealand Math. Soc. Newsletter) " The contents are highly technical and the pace of the exposition is quite fast. Manin is an outstanding mathematician, and writer as well, perfectly at ease in the most abstract and complex situation. With such a guide the reader will be generously rewarded!" (Physicalia) This new edition includes an Appendix on developments of the last 10 years, by S. Merkulov.
Geometry, Differential --- Geometric quantization --- Quantum field theory --- Géométrie différentielle --- Quantification géométrique --- Théorie quantique des champs --- Geometric quantization. --- Geometry, Differential. --- Quantum field theory. --- Géométrie différentielle --- Quantification géométrique --- Théorie quantique des champs --- Differential geometry. --- Mathematical analysis. --- Analysis (Mathematics). --- Mathematical physics. --- Differential Geometry. --- Analysis. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- 517.1 Mathematical analysis --- Mathematical analysis --- Differential geometry --- Mathematics
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