Hochschild, G. (1969). "Review: Rapport sur la cohomologie des groupes by Serge Lang" (PDF). Bull. Amer. Math. Soc. 75 (5): 927–929. doi: 10.1090/s0002-9904-1969-12294-9. Lang, Serge (2000). Collected papers. IV. 1990–1996. Springer Collected Works in Mathematics. New York: Springer. ISBN 0-387-98804-1. MR 1781668.

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

Fulton, William; Lang, Serge (1985). Riemann–Roch algebra. Grundlehren der mathematischen Wissenschaften. Vol.277. New York: Springer-Verlag. doi: 10.1007/978-1-4757-1858-4. ISBN 978-1-4419-3073-6. MR 0801033. Lang, Serge (2000). Collected papers. II. 1971–1977. Springer Collected Works in Mathematics. New York: Springer. ISBN 0-387-98803-3. MR 1770235.Kubert, Daniel S.; Lang, Serge (1981). Modular units. Grundlehren der Mathematischen Wissenschaften. Vol.244. New York–Berlin: Springer-Verlag. doi: 10.1007/978-1-4757-1741-9. ISBN 0-387-90517-0. MR 0648603. Lang, Serge (1995). Introduction to modular forms. Grundlehren der mathematischen Wissenschaften. Vol.222. With appendixes by D. Zagier and Walter Feit (Corrected reprint of the 1976 originaled.). Berlin: Springer-Verlag. doi: 10.1007/978-3-642-51447-0. ISBN 3-540-07833-9. MR 1363488. [26] 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. 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. Lang, Serge (1982). Introduction to algebraic and abelian functions. Graduate Texts in Mathematics. Vol.89 (Second edition of 1972 originaled.). New York–Berlin: Springer-Verlag. doi: 10.1007/978-1-4612-5740-0. ISBN 0-387-90710-6. MR 0681120.

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

Lang, Serge (1999). Math talks for undergraduates. New York: Springer-Verlag. doi: 10.1007/978-1-4612-1476-2. ISBN 0-387-98749-5. MR 1697559.Lang, Serge (1994). Algebraic number theory. Graduate Texts in Mathematics. Vol.110 (Second edition of 1970 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4612-0853-2. ISBN 0-387-94225-4. MR 1282723. [25] The first edition was itself the second edition of Algebraic Numbers (1964) Shakarchi, Rami (1996). Solutions manual for Lang's "Linear Algebra". New York: Springer-Verlag. doi: 10.1007/978-1-4612-0755-9. ISBN 0-387-94760-4. MR 1415837. Lang, Serge (1983). Abelian varieties (Reprint of 1959 originaled.). New York–Berlin: Springer-Verlag. doi: 10.1007/978-1-4419-8534-7. ISBN 0-387-90875-7. MR 0713430. Lang, Serge (1987). Calculus of several variables. Undergraduate Texts in Mathematics (Third edition of 1973 originaled.). New York: Springer-Verlag. doi: 10.1007/978-1-4612-1068-9. ISBN 978-0-387-96405-8. Originally published as A Second Course in Calculus (1965) [14] [15] [16] 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.