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1. Early days in complex dynamics : a history of complex dynamics in one variable during 19061942 [2012]
 Alexander, Daniel S.
 Providence, R.I. : American Mathematical Society ; London : London Mathematical Society, c2012.
 Description
 Book — xvii, 454 p. : ill. (some col.) ; 27 cm.
 Summary

 Preliminaries: A complex dynamics primer Introduction: Dynamics of a complex history Iteration and differential equations I: The Poincare connection Iteration and differential equations II: Small divisors The core (19061920): Early overseas results: The United States The road to the Grand Prix des Sciences Mathematiques Works written for the Grand Prix Iteration in Italy The giants fall Aftermaths (19201942): Branching out: Fatou and Julia in the 1920s The German wave Siegel, the center problem, and KAM theory Iteratin' around the globe Tying the future to the past: Report on the Grand Prix des Sciences Mathematiques in 1918 A history of normal families Singular lines of analytic functions Kleinian groups Curves of Julia Progress in Julia's extension of Schwarz's lemma The DenjoyWolff theorem Dynamics of selfmaps of the unit disc Koebe and uniformization Permutable maps in the 1920s The last 60 years in permutable maps Understanding Julia sets of entire maps Fatou: A biographical sketch Gaston Julia: A biographical sketch Selected biographies Remarks on computer graphics Glossary Bibliography Index Color plates.
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QA297.8 .A439 2012  Unknown 
2. The scientific legacy of Poincaré [2010]
 Héritage scientifique de Poincaré. English.
 Providence, R.I. : American Mathematical Society ; London : London Mathematical Society, c2010.
 Description
 Book — xiii, 391 p. : ill. ; 27 cm.
 Summary

Henri Poincare (18541912) was one of the greatest scientists of his time, perhaps the last one to have mastered and expanded almost all areas in mathematics and theoretical physics. He created new mathematical branches, such as algebraic topology, dynamical systems, and automorphic functions, and he opened the way to complex analysis with several variables and to the modern approach to asymptotic expansions. He revolutionized celestial mechanics, discovering deterministic chaos. In physics, he is one of the fathers of special relativity, and his work in the philosophy of sciences is illuminating. For this book, about twenty world experts were asked to present one part of Poincare's extraordinary work. Each chapter treats one theme, presenting Poincare's approach, and achievements, along with examples of recent applications and some current prospects. Their contributions emphasize the power and modernity of the work of Poincare, an inexhaustible source of inspiration for researchers, as illustrated by the Fields Medal awarded in 2006 to Grigori perelman for his proof of the Poincare conjecture stated a century before. This book can be read by anyone with a master's (even a bachelor's) degree in mathematics, or physics, or more generally by anyone who likes mathematical and physical ideas. Rather than presenting detailed proofs, the main ideas are explained, and a bibliography is provided for those who wish to understand the technical details.
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Q143 .P7 H4713 2010  Unknown 
 Poincaré, Henri, 18541912.
 Providence, R.I. : American Mathematical Society ; London, England : London Mathematical Society, c2010.
 Description
 Book — xx, 228 p. : ill. ; 26 cm.
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QA612 .P65 2010  Unknown 
 Zürich : European Mathematical Society ; [Providence, R.I. : Distributed within the Americas by the American Mathematical Society], c2010.
 Description
 Book — viii, 226 p. : ill. ; 24 cm.
 Summary

Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convectiondiffusion equations. Common for these equations is the prevalence of rough, or nonsmooth, solutions, e.g., shocks.
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QA377 .S678 2010  Unknown 
 Adams, William J.
 2nd ed.  Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c2009.
 Description
 Book — xii, 195 p. : ports. ; 26 cm.
 Summary

The name Central Limit Theorem covers a wide variety of results involving the determination of necessary and sufficient conditions under which sums of independent random variables, suitably standardized, have cumulative distribution functions close to the Gaussian distribution. As the name Central Limit Theorem suggests, it is a centerpiece of probability theory which also carries over to statistics. Part One of "The Life and Times of the Central Limit Theorem, Second Edition" traces its fascinating history from seeds sown by Jacob Bernoulli to use of integrals of exp(x2) as an approximation tool, the development of the theory of errors of observation, problems in mathematical astronomy, the emergence of the hypothesis of elementary errors, the fundamental work of Laplace, and the emergence of an abstract Central Limit Theorem through the work of Chebyshev, Markov and Lyapunov. This closes the classical period of the life of the Central Limit Theorem, 17131901. The second part of the book includes papers by Feller and Le Cam, as well as comments by Doob, Trotter, and Pollard, describing the modern history of the Central Limit Theorem (19201937), in particular through contributions of Lindeberg, Cramer, Levy, and Feller. The Appendix to the book contains four fundamental papers by Lyapunov on the Central Limit Theorem, made available in English for the first time.
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QA273.67 .A3 2009  Unknown 
 Green, Judy, 1943
 Providence, R.I. : American Mathematical Society ; London : London Mathematical Society, c2009.
 Description
 Book — xviii, 349 p. : ill. ; 27 cm.
 Summary

 Introduction
 Family background and precollege education
 Undergraduate education
 Graduate education
 Employment issues
 Career patterns
 Scholarly and professional contributions
 Epilogue.
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QA28 .G74 2009  Unknown 
7. Exposition by Emil Artin : a selection [2007]
 Works. Selections. English. 2006
 Artin, Emil, 18981962.
 Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c2007.
 Description
 Book — x, 346 p. : ill. ; 26 cm.
 Summary

 Introduction by M. Rosen Books by Emil Artin: The Gamma Function by E. Artin Galois Theory by E. Artin Theory of Algebraic Numbers by E. Artin Papers by Emil Artin: Axiomatic characterization of fields by the product formula for valuations by E. Artin and G. Whaples A note on axiomatic characterization of fields by E. Artin and G. Whaples A characterization of the field of real algebraic numbers by E. Artin The algebraic construction of real fields by E. Artin and O. Schreier A characterization of real closed fields by E. Artin and O. Schreier The theory of braids by E. Artin Theory of braids by E. Artin On the theory of complex functions by E. Artin A proof of the KreinMilman theorem by E. Artin The influence of J. H. M. Wedderbum on the development of modern algebra by E. Artin.
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QA247 .A782 2007  Unknown 
8. Golden years of Moscow mathematics [2007]
 2nd ed.  Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c2007.
 Description
 Book — xi, 306 p. : ill. ; 27 cm.
 Summary

 Encounters with mathematicians by A. P. Yushkevich The Moscow school of the theory of functions in the 1930s by S. S. Demidov About mathematics at Moscow State University in the late 1940s and early 1950s by E. M. Landis Reminiscences of Soviet mathematicians by B. A. Rosenfeld A. N. Kolmogorov by V. M. Tikhomirov On A. N. Kolmogorov by V. I. Arnold Pages of a mathematical autobiography (19421953) by M. M. Postnikov Markov and Bishop: An essay in memory of A. A. Markov (19031979) and E. Bishop (19281983) by B. A. Kushner Etude on life and automorphic forms in the Soviet Union by I. PiatetskiShapiro On Soviet mathematics of the 1950s and 1960s by D. B. Fuchs In the other direction by A. B. Sossinsky A brief survey of the literature on the development of mathematics in the USSR by S. S. Demidov Russian bibliography by S. S. Demidov Moscow mathematicsThen and now by V. M. Tikhomirov Errata Index of names.
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QA27 .R8 G65 2007  Available 
 Gentzens Problem. English
 MenzlerTrott, Eckart.
 [English ed.].  Providence, RI : American Mathematical Society ; [London] : London Mathematical Society, c2007
 Description
 Book — 1 online resource (xxii, 440 p. : ill).
 Summary

 Early youth and abitur 19281938  Weimar Republic and National Socialism in peace. From the beginning of studies to the extension of the unscheduled assistantship for another year with effect from 1 October 1938 19391942  From the beginning of the war to dismissal from the Wehrmacht and the wartime habilitation under Helmut Hasse The fight over "German logic" from 1940 to 1945: A battle between amateurs Recovery and docent position 1942 to 1944 Arrest, imprisonment, death and Nachlass Conclusion Tables of the life of Gerhard Gentzen Appendix A. Gentzen and geometry, by C. Smoryński Appendix B. Hilbert's programme, by C. Smoryński Appendix C. Three lectures, by Gerhard Gentzen Appendix D. From Hilbert's programme to Gentzen's programme, by Jan von Plato
10. The Volterra chronicles : the life and times of an extraordinary mathematician, 18601940 [2007]
 Goodstein, Judith R.
 Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c2007.
 Description
 Book — x, 310 p., [16] p. of plates : ill., maps ; 27 cm.
 Summary

 "The Jewish mathematician" "A new era is dawning, " 1860 "This, above all, I promise, " 18631870 "That damned passion, " 18741877 "Long live the republic, " 18781882 "Professor by deed, " 18801883 "Our professor of small intervals, " 18831893 "The life I live, " 18871895 "Demonstrations of their resentment, " 18931900 "God liberate us from his symbols" "It is the greatest desire of my life, " 1900 "Most important for our fatherland" "Will they create a new world?" "A political man" "A professor in America" "Empires die" Epilogue Sir Edmund Whittaker, "Vito Volterra, 18601940" On the attempts to apply mathematics to the biological and social sciences Science at the present moment and the new Italian society for the progress of science Acknowledgments Selected bibliography Notes Index.
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QA29 .V64 G66 2007  Available 
11. Hausdorff on ordered sets [2005]
 Works. Selections. English. 2005
 Hausdorff, Felix, 18681942.
 Providence, R.I. : American Mathematical Society : London Mathematical Society, c2005.
 Description
 Book — xviii, 322 p. ; 26 cm.
 Summary

 Selected Hausdorff bibliography by J. M. Plotkin Introduction to "About a certain kind of ordered sets" by J. M. Plotkin About a certain kind of ordered sets [H 1901b] by F. Hausdorff Introduction to "The concept of power in set theory" by J. M. Plotkin The concept of power in set theory [H 1904a] by F. Hausdorff Introduction to "Investigations into order types, I, II, III" by J. M. Plotkin Investigations into order types [H 1906b] by F. Hausdorff Introduction to "Investigations into order types IV, V" by J. M. Plotkin Investigations into order types [H 1907a] by F. Hausdorff Introduction to "About dense order types" by J. M. Plotkin About dense order types [H 1907b] by F. Hausdorff Introduction to "The fundamentals of a theory of ordered sets" by J. M. Plotkin The fundamentals of a theory of ordered sets [H 1908] by F. Hausdorff Introduction to "Graduation by final behavior" by J. M. Plotkin Graduation by final behavior [H 1909a] by F. Hausdorff Appendix. Sums of $\aleph_1$ sets [H 1936b] by F. Hausdorff.
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QA171.48 .H38 2005  Available 
12. Mathematics and social utopias in France [electronic resource] : Olinde Rodrigues and his times [2005]
 Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c2005
 Description
 Book — 1 online resource (xii, 168 p. : ill).
 Summary

 Introduction Olinde Rodrigues and his times Towards a better understanding of Olinde Rodrigues and his circle: Family and faith in his life and career Euphrasie and Olinde Rodrigues: The 'woman question' within SaintSimonism Rodrigues's early work in mathematics, 18131816 The 1839 paper on permutations: Its relation to the Rodrigues formula and further developments Olinde Rodrigues and combinatorics Olinde Rodrigues's paper of 1840 on a group of transformations After Rodrigues: From rotations to quaternions
13. Mathematics unbound : the evolution of an international mathematical research community, 18001945 [2002]
 Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c2002.
 Description
 Book — xxii, 406 p. : ill. ; 27 cm.
 Summary

 The evolution of an international mathematical research community, 1800
 1945: An overview and an agenda by K. H. Parshall and A. C. Rice The end of dominance: The diffusion of French mathematics elsewhere, 18201870 by I. GrattanGuinness Spanish initiatives to bring mathematics in Spain into the international mainstream by E. Ausejo and M. Hormigon International mathematical contributions to British scientific journals, 18001900 by S. E. Despeaux International participation in Liouville's \textit{Journal de mathematiques pures et appliquees} by J. Lutzen The effects of war on France's international role in mathematics, 18701914 by H. Gispert Charles Hermite and German mathematics in France by T. Archibald Gosta MittagLeffler and the foundation and administration of \textit{Acta Mathematica} by J. E. BarrowGreen An episode in the evolution of a mathematical community: The case of Cesare Arzela at Bologna by L. Martini The first international mathematical community: The \textit{Circolo matematico di Palermo} by A. Brigaglia Languages for mathematics and the language of mathematics in a world of nations by J. J. Gray The emergence of the Japanese mathematical community in the modern western style, 18551945 by C. Sasaki Internationalizing mathematics east and west: Individuals and institutions in the emergence of a modern mathematical community in China by J. W. Dauben ChineseU. S. mathematical relations, 18591949 by Y. Xu American initiatives toward internationalization: The case of Leonard Dickson by D. D. Fenster The effects of Nazi rule on the international participation of German mathematicians: An overview and two case studies by R. SiegmundSchultze War, refugees, and the creation of an international mathematical community by S. L. Segal The formation of the international mathematical union by O. Lehto Index.
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QA11.2 .M28 2002  Available 
 Borel, Armand.
 Providence, R.I. : American Mathematical Society : London Mathematical Society, c2001.
 Description
 Book — xiii, 184 p. : ill. ; 27 cm.
 Summary

 Overview Full reducibility and invariants for $\mathbf{SL}_2(\mathbb C)$ Hermann Weyl and Lie groups Elie Cartan, symmetric spaces and Lie groups Linear algebraic groups in the 19th century Linear algebraic groups in the 20th century The work of Chevalley in Lie groups and algebraic groups Algebraic groups and Galois theory in the work of Ellis R. Kolchin Name index Subject index Photo section.
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QA387 .B643 2001  Unknown 
15. Ramanujan : essays and surveys [2001]
 Berndt, Bruce C., 1939
 [Providence, R.I.] : American Mathematical Society ; London : London Mathematical Society, c2001.
 Description
 Book — xvi, 347 p., [16] p. of plates : ill. ; 27 cm.
 Summary

 Commentary (by R. A. R.) by R. A. Rankin The life of Ramanujan: The four photographs of Ramanujan The books studied by Ramanujan in India The influence of Carr's synopsis on Ramanujan The notebooks of Srinivasa Ramanujan A recently discovered letter giving Ramanujan's examination scores On Ramanujan The Ramanujan family record Ramanujan's illness: Ramanujan as a patient Ramanujan's illness An incident in the life of S. Ramanujan, F.R.S.: Conversations with G. H. Hardy, F.R.S. and J. E. Littlewood, F.R.S. and their sequel S. Janaki: S. Janaki Ammal (Mrs. Ramanujan) Conversation "I didn't understand his work, but I knew his worth" S. Narayana Iyer: A short biography of S. Narayana Iyer The distribution of primes Some theorems in summation E. H. Neville: Srinivasa Ramanujan University lectures in Madras Ramanujan's manuscripts and notebooks: Ramanujan's manuscripts and notebooks Ramanujan's manuscripts and notebooks, II An overview of Ramanujan's notebooks An introduction to Ramanujan's "lost" notebook Nontechnical articles on Ramanujan's work: Ramanujan and pi $\pi$ related developments since 1988 Reflections around the Ramanujan centenary The problems submitted by Ramanujan to the Journal of the Indian Mathematical Society Somewhat more technical articles on Ramanujan's work: A walk through Ramanujan's garden Ramanujan and hypergeometric and basic hypergeometric series The final problem: An account of the mock theta functions.
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QA29 .R3 B47 2001  Unknown 
16. Kolmogorov in perspective [2000]
 [Providence, RI] : American Mathematical Society ; [London] : London Mathematical Society, c2000.
 Description
 Book — ix, 230 p. : ill. ; 26 cm.
 Summary

The editorial board for the History of Mathematics series has selected for this volume a series of translations from two Russian publications, Kolmogorov in Remembrance and Mathematics and its Historical Development. This book, Kolmogorov in Perspective, includes articles written by Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. Specifically, the article, "Andrei? Nikolaevich Kolmogorov. A Biographical Sketch of His Life and Creative Paths" by A. N. Shiryaev, gives an excellent personal and scientific biography of Kolmogorov. The volume also includes the following articles: "On A. N. Kolmogorov" by V. I. Arnol'd, "In Memory of A. N. Kolmogorov" by S. M. Nikol'skii?, "Remembrances of A. N. Kolmogorov" by Ya. G. Sinai?, "The Influence of Andrei? Nikolaevich Kolmogorov on My Life" by P. L. Ul'yanov, "A Few Words on A. N. Kolmogorov" by P. S. Aleksandrov, "Memories of P. S. Aleksandrov" by A. N. Kolmogorov, "Newton and Contemporary Mathematical Thought" by A. N. Kolmogorov, and an extensive bibliography with the complete list of Kolmogorov's worksincluding the articles written for encyclopedias and newspapers. The book is illustrated with photographs and includes quotations from Kolmogorov's letters and conversations, uniquely reflecting his mathematical tastes and opinions. Copublished with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price.
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QA29 .K627 K65 2000  Available 
 Albree, Joe, 1939
 [Providence, R.I.] : American Mathematical Society ; London : London Mathematical Society, c2000.
 Description
 Book — xii, 272 p. : ill. ; 27 cm.
 Summary

 Introduction Catalog of the West Point collection Catalog of 1803 Inventory of books, maps and charts, belonging to the Military Academy at West Point Photographs Portraits in the collection Frontispieces in the collection.
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18. Lectures on number theory [1999]
 Vorlesungen über zahlentheorie. English
 Lejeune Dirichlet, Peter Gustav, 18051859.
 Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c1999.
 Description
 Book — xx, 275 p. : ill. ; 26 cm.
 Summary

 On the divisibility of numbers On the congruence of numbers On quadratic residues On quadratic forms Determination of the class number of binary quadratic forms Some theorems from Gauss's theory of circle division On the limiting value of an infinite series A geometric theorem Genera of quadratic forms Power residues for composite moduli Primes in arithmetic progressions Some theorems from the theory of circle division On the Pell equation Convergence and continuity of some infinite series Index.
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QA241 .L5513 1999  Unknown 
 Hadamard, Jacques, 18651963.
 Providence, R.I. : American Mathematical Society ; [London] : London Mathematical Society, c1999.
 Description
 Book — xii, 95 p. : ill. ; 26 cm.
 Summary

 Historical introduction A brief history of automorphic function theory, 18801930 The group of motions of the hyperbolic plane and its properly discontinuous subgroups Discontinuous groups in three geometries. Fuchsian functions Fuchsian functions Kleinian groups and functions Algebraic functions and linear algebraic differential equations Fuchsian groups and geodesics References Additional references.
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QA353 .A9 H33 1999  Available 
 Curtis, Charles W.
 [Providence, R.I.] : American Mathematical Society ; [London] : London Mathematical Society, 1999.
 Description
 Book — xvi, 287 p. : ill. ; 27 cm.
 Summary

 Some 19thcentury algebra and number theory. Frobenius and the invention of character theory. Burnside: Representations and structure of finite groups. Schur: A new beginning. Polynomial representations of GL_n(\Bbb{C}). Richard Brauer and Emmy Noether: 1926
 1933. Modular representation theory. Bibliography. Index.
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QA176 .C87 1999  Available 