Basic Mathematics

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Lang, Serge (1986). Introduction to linear algebra. Undergraduate Texts in Mathematics (Second edition of 1970 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4612-1070-2. ISBN 978-0-387-96205-4. S2CID 117514050. As an activist, Lang campaigned against the Vietnam War, and also successfully fought against the nomination of the political scientist Samuel P. Huntington to the National Academies of Science. Later in his life, Lang was an HIV/AIDS denialist. He claimed that HIV had not been proven to cause AIDS and protested Yale's research into HIV/AIDS. [1] Early life [ edit ]

BASIC MATHEMATICS - DocDroid

Reading Spivak ought to clear up most of the concerns you may have about rigor in high school mathematics (in the sense of logical precision), but I will add a few more comments about this.

Shakarchi, Rami (1998). Problems and solutions for "Undergraduate Analysis". New York: Springer-Verlag. doi: 10.1007/978-1-4612-1738-1. ISBN 0-387-98235-3. MR 1488961. Serge Lang was an influential mathematician in the field of number theory. Algebra is his most famous book. Lang, Serge (1999). Complex analysis. Graduate Texts in Mathematics. Vol.103 (Fourth edition of 1977 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4757-3083-8. ISBN 0-387-98592-1. MR 1659317.

Basic mathematics by Serge Lang | Open Library Basic mathematics by Serge Lang | Open Library

Lang, Serge (1987). Elliptic functions. Graduate Texts in Mathematics. Vol.112. With an appendix by J. Tate (Second edition of 1973 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4612-4752-4. ISBN 0-387-96508-4. MR 0890960. [22]Niven, Ivan (1970-01-01). "Review of A Second Course in Calculus". Mathematics Magazine. 43 (5): 277–278. doi: 10.2307/2688750. JSTOR 2688750. Edit: I forgot to answer the part about trigonometry. Plane trigonometry can be divided roughly into two parts: (1) geometric applications to triangles, quadrilaterals, etc.; (2) analytic trigonometry, which involves various algebraic manipulations of trigonometric functions. For the more advanced aspects of (1), good knowledge of (2) is necessary.

Algebra | SpringerLink Algebra | SpringerLink

Lang, Serge (2002). Algebra. Graduate Texts in Mathematics. Vol.211 (Revised third edition of 1965 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4613-0041-0. ISBN 0-387-95385-X. MR 1878556.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: Lang, Serge (2000). Collected papers. IV. 1990–1996. Springer Collected Works in Mathematics. New York: Springer. ISBN 0-387-98804-1. MR 1781668.

Lang a good author or not??? : r/math - Reddit So is Lang a good author or not??? : r/math - Reddit

Roquette, Peter (1976). "Review: Elliptic functions, by Serge Lang" (PDF). Bull. Amer. Math. Soc. 82 (4): 523–526. doi: 10.1090/s0002-9904-1976-14082-7. Lang, Serge (2001). Collected papers. V. 1993–1999. Springer Collected Works in Mathematics. New York: Springer. ISBN 0-387-95030-3. MR 1781684. Jorgenson, Jay; Krantz, Steven G., eds. (May 2006). "Serge Lang, 1927–2005" (PDF). Notices of the American Mathematical Society. 53 (5): 536–553. Lang, Serge; Murrow, Gene (1988). Geometry: a high school course. New York: Springer-Verlag. doi: 10.1007/978-1-4757-2022-8. ISBN 978-0-387-96654-0. urn:oclc:record:1357510392 Foldoutcount 0 Identifier basicmathematics0000lang Identifier-ark ark:/13960/s28bdx3fm2s Invoice 1652 Isbn 0387967877 Lccn 88012334 Ocr tesseract 5.2.0-1-gc42a Ocr_detected_lang en Ocr_detected_lang_conf 1.0000 Ocr_detected_script Latin Ocr_detected_script_conf 0.9433 Ocr_module_version 0.0.18 Ocr_parameters -l eng Old_pallet IA-WL-1300189 Openlibrary_edition

My Book Notes

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. Even then, one might say that full rigor hasn't been achieved until one has presented a way to formalize the concept of proof to such an extent that the correctness of any given proof can be verified by an algorithm. (Such formal proofs are almost unreadable to humans because they are full of symbols.) This is accomplished in books on logic.