Basic Mathematics

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Jorgenson, Jay; Krantz, Steven G., eds. (May 2006). "Serge Lang, 1927–2005" (PDF). Notices of the American Mathematical Society. 53 (5): 536–553. Access-restricted-item true Addeddate 2022-11-11 00:01:31 Autocrop_version 0.0.14_books-20220331-0.2 Bookplateleaf 0008 Boxid IA40762718 Camera USB PTP Class Camera Collection_set printdisabled External-identifier Lang, Serge (2000). Collected papers. II. 1971–1977. Springer Collected Works in Mathematics. New York: Springer. ISBN 0-387-98803-3. MR 1770235.

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O'Connor, John J.; Robertson, Edmund F., "Serge Lang", MacTutor History of Mathematics Archive, University of St Andrews I went through most of this book due to MicroMass's recommendation a little while ago, and really enjoyed my first introduction to real mathematics, and not the garbage I was/am being taught in middle/high school.

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Serge Lang (18 May 1978), "The Professors: A Survey of a Survey", The New York Review of Books available online as reprinted in Challenges Fortunatamente ci sono molte soluzioni agli esercizi alla fine del libro, così da poter rivedere il proprio lavoro e avere eventuali conferme. Lang, Serge (1998). Challenges. New York: Springer. doi: 10.1007/978-1-4612-1638-4. ISBN 978-0-387-94861-4.

Basic Mathematics by Serge Lang - Physics Forums Basic Mathematics by Serge Lang - Physics Forums

Lang, Serge (1999). Fundamentals of differential geometry. Graduate Texts in Mathematics. Vol.191. New York: Springer-Verlag. doi: 10.1007/978-1-4612-0541-8. ISBN 0-387-98593-X. MR 1666820. This book is the fourth edition, previously published under the different titles of Introduction to Differentiable Manifolds (1962), Differential Manifolds (1972), and Differential and Riemannian Manifolds (1995). Lang also published a distinct second edition (preserving the title of the 1962 original) so as to provide a companion volume to Fundamentals of Differential Geometry which covers a portion of the same material, but with the more elementary exposition confined to finite-dimensional manifolds: The basic topics covered doesn't necessarily mean that the book will be easy; this was my first introduction to proofs, and to trying to create my own (which I often failed at doing). However, even if I knew most of the material already (like that a negative number multiplied by a negative number results in a positive number), I had never known the reasoning behind why this was true. The logical approach presented taught me a different, more effective way to learn mathematics. Lang even has an entire section (somewhere after chapter 3, I think) where he simply covers logic and some notation, to help the reader get a better grasp of the idea. But these are minor quibbles. On the whole, Lang compares well to most books at a similar level. If you don't want to wait for calculus to dot all the i's and cross all the t's, you could read The Real Number System by Olmsted in parallel.Jorgenson, Jay; Lang, Serge (1993). Basic Analysis of Regularized Series and Products. Lecture Notes in Mathematics. Vol.1564. Berlin: Springer-Verlag. doi: 10.1007/BFb0077194. ISBN 3-540-57488-3. MR 1284924. Meacham, R. C. (1966-01-01). "Review of A Second Course in Calculus". Mathematics Magazine. 39 (2): 124. doi: 10.2307/2688730. JSTOR 2688730.

Basic Mathematics by Serge Lang | Goodreads Basic Mathematics by Serge Lang | Goodreads

Jorgenson, Jay; Lang, Serge (2005). Posn(R) and Eisenstein Series. Lecture Notes in Mathematics. Vol.1868. Berlin: Springer-Verlag. doi: 10.1007/b136063. ISBN 978-3-540-25787-5. MR 2166237. L’unica pecca sono gli esercizi proposti che, nonostante la maggior parte siano davvero interessanti e stimolanti, a volte risultano troppo complicati e non in linea con i capitoli e gli argomenti appena studiati, rendendo alcuni passaggi del libro frustranti e noiosi. Green, Mark (1988). "Review: Introduction to complex hyperbolic spaces by Serge Lang". Bull. Amer. Math. Soc. (N.S.). 18 (2): 188–191. doi: 10.1090/s0273-0979-1988-15644-3. Libro di testo completo e interessante, scritto da un matematico davvero in gamba, che sa come veicolare concetti base e avanzati in maniera unica, tramite svariati esempi e diverse dimostrazioni.Questions of Scientific Responsibility: The Baltimore Case From the journal Ethics and Behavior Vol. 3 No. 1 (1993) pp. 3–72, Serge Lang, Mathematics Department, Yale University