Salih Çelik Matematik Analiz 1 Pdf

Bu çözümlü problem kitabı, üniversitelerimizin [Fen ve Mühendislik Bölümlerinin] birinci sınıflarında okutulan, Matematik - I dersinin konu başlıkları dikkate alınarak hazırlanmıştır. Bölüm içindeki her alt başlıkta, problemler ve çözümlerine başlanmadan önce, ilgili başlığa ait kısa bilgiler verilmiştir. Bir problemin çözümü yapılırken, mümkün olan bütün detaylar verilmeye çalışılmıştır. Her bölümün sonuna, çok sayıda alıştırma konmuş ve tamamının da cevabı verilmiştir. Bu alıştırmaları çözerken, bazıları size zor görünebilir. Ancak biraz dikkatli olursanız, muhtemelen çözmekte zorlanmayacaksınız.

Bu çözümlü problem kitabı hazırlanırken, sayısı çok az da olsa orijinal ya da şık olduğu düşünülen bazı problemler, aynen veya biraz üzerinde oynanarak kitaplardan alınmış ve sorunun bitiminde bilgi verilmiştir. Bununla birlikte, özellikle integrasyon tekniklerinde birçok integral, yapısı itibariyle, başka birçok kitapta da bulunabileceğinden, onlar için özel bir açıklama yapılmamıştır.

Assoc. Prof. Salih ÇELİK Personal Information Office Phone: +90 0212 383 4344 Email: [email protected] Web: https://avesis.yildiz.edu.tr/sacelik Education Information Doctorate, Istanbul Technical University, Fen-Edebiyat, Matematik Mühendisliği, Turkey 1989-1992 Under Graduate, Atatürk, Fen-Edebiyat, Matematik, Turkey 1982-1986 Dissertations Doctorate, Quantum matrix groups and q-oscillatorsi, Istanbul Technical University, Fen-Edebiyat, Matematik Mühendisliği, 1992 Research Areas Algebraic Geometry, Geometry, Group Theory and Generalizations, Topological Groups, Lie Groups Academic Titles / Tasks Associate Professor, Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik, 2018 - Continues Courses Matematik Analiz II, Under Graduate, 2017-2018 Kuantum Süper Gruplar, Post Graduate, 2016-2017 Kuantum Diferansiyel Geometri I, Post Graduate, 2016-2017 Advising Theses Çelik S., F(R_q(1 1)) üzerine iki parametreli bikovaryant diferansiyel hesaplar, Post Graduate, İ.Temli(Student), 2018 Çelik S., Z3-dereceli GLq(2) kuantum grubu üzerine diferansiyel hesap, Doctorate, F.Bulut(Student), 2016 Çelik S., Kuantum süper vektörlerin toplamı ve diferansiyel geometrisi, Post Graduate, İ.Aydın(Student), 2013 Çelik S., Kuantum vektörlerin toplanması ve diferansiyel geometrisi, Post Graduate, A.Osman(Student), 2012 Çelik S., GLh(1 1) kuantum süper grubunun Gauss ayrışımı, Post Graduate, E.Yıldırım(Student), 2011 Çelik S., Z3- dereceli Rq(2/1) kuantum süper uzayinin diferansiyel geometrisi, Post Graduate, B.Cesur(Student), 2010 Çelik S., GLq,j(1/1) kuantum süper grubunun diferansiyel geometrisi, Doctorate, E.YAŞAR(Student), 2010 Çelik S., Büzülme yoluyla GL_h(2 1) kuantum süper grubu, Post Graduate, M.Arıkan(Student), 2010 Çelik S., Kuantum süper uzay üzerine bir genişletilmiş diferansiyel hesap, Post Graduate, M.İnekci(Student), 2007 Çelik S., Rh(2/1) süper uzayı üzerine bir diferansiyel hesap, Post Graduate, E.Saltürk(Student), 2007 Çelik S., IR3(h) uzayı üzerine diferansiyel hesap, Post Graduate, Ö.Öksüz(Student), 2007 Articles Published in Journals That Entered SCI, SSCI and AHCI Indexes

Covariant differential calculus on SPh2 vertical bar 1 Çelik S., Temli I. TURKISH JOURNAL OF MATHEMATICS, vol.43, pp.916-929, 2019 (Journal Indexed in Differential Calculi on Z(3)- Graded Grassmann Plane Çelik S., Çelik S. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.27, pp.2407-2427, 2017 (Journal Indexed in A Differential Calculus on Superspace and Related Topics Bulut F., Çelik S. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.27, pp.1019-1030, 2017 (Journal Indexed in Covariant differential calculi on quantum symplectic superspace SPq1 2 JOURNAL OF MATHEMATICAL PHYSICS, vol.58, 2017 (Journal Indexed in A New Z(3)-Graded Quantum Group JOURNAL OF LIE THEORY, vol.27, pp.545-554, 2017 (Journal Indexed in Bicovariant differential calculus on the quantum superspace R-q(1 vertical bar 2) JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.15, 2016 (Journal Indexed in A Differential Calculus on Z(3)-Graded Quantum Superspace ALGEBRAS AND REPRESENTATION THEORY, vol.19, pp.713-730, 2016 (Journal Indexed in A Differential Calculus on the Z(3)-graded Quantum Group GL(q) (2), Bulut F. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.26, pp.81-96, 2016 (Journal Indexed in A Differential Calculus on the (h, j)-deformed Z(3)-Graded Superplane,, ÇENE E. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, vol.24, pp.643-659, 2014 (Journal Indexed in Differential geometry of the Z(3)-graded quantum supergroup GL(q,j)(1 vertical bar 1), YAŞAR E. JOURNAL OF GEOMETRY AND PHYSICS, vol.61, pp.260-269, 2011 (Journal Indexed in Cartan Calculus on the Quantum Space R-q(3) Çelik S., Özkan E. M., Yaşar E. TURKISH JOURNAL OF MATHEMATICS, vol.33, pp.75-83, 2009 (Journal Indexed in The Hopf algebra structure of the Z(3)-graded quantum supergroup GL(q,j)(1 vertical bar 1), YAŞAR E. JOURNAL OF MATHEMATICAL PHYSICS, vol.49, 2008 (Journal Indexed in Cartan calculi on the quantum superplane JOURNAL OF MATHEMATICAL PHYSICS, vol.47, 2006 (Journal Indexed in Differential geometry of the Lie algebra of the quantum plane, CZECHOSLOVAK JOURNAL OF PHYSICS, vol.55, pp.463-471, 2005 (Journal Indexed in Z(3)-graded differential geometry of the quantum plane JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.35, pp.6307-6318, 2002 (Journal Indexed in Differential geometry of the Z(3)-graded quantum superplane JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.35, pp.4257-4268, 2002 (Journal Indexed in Differential geometry of GL(h)(1 vertical bar 1) JOURNAL OF MATHEMATICAL PHYSICS, vol.42, pp.1283-1295, 2001 (Journal Indexed in

Differential geometry of GL(p,q)(1 vertical bar 1) JOURNAL OF MATHEMATICAL PHYSICS, vol.41, pp.6976-6994, 2000 (Journal Indexed in Differential geometry of the q-plane, INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.15, pp.3237-3243, 2000 (Journal Indexed in Two-parameter differential calculus on the h-superplane, JOURNAL OF MATHEMATICAL PHYSICS, vol.40, pp.5998-6008, 1999 (Journal Indexed in Two-parameter nonstandard deformation of 2 x 2 matrices Celik S., Celik S. JOURNAL OF MATHEMATICAL PHYSICS, vol.40, pp.3553-3560, 1999 (Journal Indexed in Two-parametric extension of h-deformation of Gr(1 vertical bar 1), HIZEL E., JOURNAL OF MATHEMATICAL PHYSICS, vol.40, pp.3091-3098, 1999 (Journal Indexed in Hopf algebra structure of Gr(q)(1 vertical bar 1) related to GL(q) (1 vertical bar 1) JOURNAL OF MATHEMATICAL PHYSICS, vol.40, pp.2494-2499, 1999 (Journal Indexed in Differential geometry of the q-superplane JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.31, pp.9695-9701, 1998 (Journal Indexed in On the differential geometry of GL(q)(1 vertical bar 1), JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.31, pp.9685-9694, 1998 (Journal Indexed in Comment on the differential calculus on the quantum exterior plane,, ARIK M. MODERN PHYSICS LETTERS A, vol.13, pp.1645-1651, 1998 (Journal Indexed in Differential calculus on the h-superplane,, ARIK M. JOURNAL OF MATHEMATICAL PHYSICS, vol.39, pp.3426-3436, 1998 (Journal Indexed in Two-parameter differential calculus on the h-exterior plane, MODERN PHYSICS LETTERS A, vol.13, pp.413-418, 1998 (Journal Indexed in Two-parametric extension of h-deformation of GL(1/1) Celik S. LETTERS IN MATHEMATICAL PHYSICS, vol.42, pp.299-308, 1997 (Journal Indexed in The Hopf algebra structure of GL(1, H-q) and the isomorphism between SPq(1) and SUq(2) Celik S. LETTERS IN MATHEMATICAL PHYSICS, vol.42, pp.27-34, 1997 (Journal Indexed in h-deformation of Gr(2), HIZEL E. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.30, pp.4677-4680, 1997 (Journal Indexed in Two parameter deformation of Grassmann matrix group and supergroup JOURNAL OF MATHEMATICAL PHYSICS, vol.37, pp.3568-3575, 1996 (Journal Indexed in UNITARY QUANTUM GROUPS, QUANTUM PROJECTIVE SPACES AND Q-OSCILLATORS ARIK M., CELIK S. ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, vol.59, pp.99-103, 1993 (Journal Indexed in

Articles Published in Other Journals Extended Calculi on the Z_3 graded Quantum Superplane, ÖZKAN E. M. J. Geometry and Topology, vol.15, pp.127-146, 2014 (Refereed Journals of Other Institutions) Differential geometry of Lie superalgebra of the quantum superplane Balkan Phys. Lett., vol.11, pp.119-127, 2003 (Refereed Journals of Other Institutions) Differential geometry of the q-quaternions Balkan Phys Lett, vol.11, pp.91-101, 2003 (Refereed Journals of Other Institutions) Covariant differential calculus on the h-exterior plane Balkan Phys. Lett., vol.7, pp.1-10, 1999 (Refereed Journals of Other Institutions) An h-deformation of U(gl(1/1)) Balkan Phys. Lett., vol.6, pp.154-159, 1998 (Refereed Journals of Other Institutions) On the quantum supergroup SU_{p,q}(1/1) and quantum oscillators, TURKISH JOURNAL OF PHYSICS, vol.21, pp.1221-1228, 1997 (Other Refereed National Journals) h-deformation of grassmann supergroup Gr(1/1) Balkan Phys. Lett., vol.5, pp.149-154, 1997 (Refereed Journals of Other Institutions) The properties of the quantum supergroup GL _{p,q} (1/1), Balkan Phys. Lett., vol.1, pp.32-41, 1997 (Refereed Journals of Other Institutions) Quantum properties of dual matrices in GL_q(1/1), Balkan Phys. Lett., vol.3, pp.188-192, 1995 (Refereed Journals of Other Institutions) On the determination of the relation between the matrix elements of CP_q(n) and covariant q-oscillators Turkish Journal Of Mathematics, vol.19, pp.83-89, 1995 (Other Refereed National Journals) Quantum grassmannian manifolds ARIK M., AYDIN F.,, HIZEL E. Balkan Phys. Lett., vol.1, pp.102-106, 1993 (Refereed Journals of Other Institutions) The properties of the quantum group GL_q(3,C) Bull. of the Tech.Univ. of Istanbul, vol.46, pp.459-466, 1993 (Refereed Journals of Other Institutions) The quantum group SU_q(m,1) and the quantum coset SU_q(m,1)/U_q(m-1,1) Balkan Phys. Lett. 1, vol.1, pp.52-58, 1993 (Refereed Journals of Other Institutions) Book & Book Chapters Kısa Teori ve Çözümlü Problemlerle MATEMATİK ANALİZ I, BİRSEN, İstanbul, 2018 MATEMATİK CİLT II - Calculus Early Transcendentals BAŞARIR M.,,, COŞKUN E., EKİNCİOĞLU İ. Nobel Akademik Yayıncılık, Ankara, 2017 Kısa Teori ve Çözümlü Problemlerle Matematik Analiz II Birsen Yayınevi, 2017

Matematik Analiz I, Birsen Yaynevi, İstanbul, 2010 Matematik Analiz II, Birsen Yaynevi, 2010 Fonksiyonel Analize Giris Yldz Teknik Üniv. yaynları, 2001 Cümleler Teorisine Giriş ve Soyut Matematik Mimar Sinan Üniversitesi, 1997 Refereed Congress / Symposium Publications in Proceedings The symmetry group of the differential calculus on F(Rq(1,1)),, TEMLİ İ. 16TH INTERNATIONAL GEOMETRY SYMPOSIUM, 4-07 Temmuz 2018, pp.252-253 Covariant Differential Calculi on F( _ 푞 (11)), İLKNUR T. ICOMAA-2018, 11-13 Mayıs 2018 LEFT COVARIANT DIFFERENTIAL CALCULI ON O(R_q(1/2)) 2. INTERNATIONAL CONGRESS ON STATISTICS MATHEMATICS AND ANALYTICAL METHODS, 2-03 Mart 2018 An h-deformation of the Superspace R(1/2) via a contraction,, BULUT F. 13th Algebraic Hyperstructures and its Applications (AHA2017), İstanbul, Turkey, 24-27 Temmuz 2017, pp.117-118 Bicovariant Differential Calculus on F(Rq(2)), BULUT F. 15th International Geometry Symposium, 3-06 Temmuz 2017 A differential calculus on h-superspace, SALTURK E. Noncommutativestructures in mathematics and physics, 6370, K. Vlaam. Acad. BelgieWet. Kunsten(KVAB), Brussels, Brussels, Belgium, 22-26 Temmuz 2008 Scientific Refereeing Punjab University Journal of Mathematics, Other Indexed Journal, November 2019 Advances in Applied Clifford Algebras, SCI Journal, December 2018 Mathematica Bohemica, Other Indexed Journal, December 2018 Mathematical Methods in the Applied Sciences, SCI Journal, July 2018 Advances in Applied Clifford Algebras, SCI Journal, January 2016 Journal of Physics A: Mathematical and Theoretical, SCI Journal, August 2015 Citations Total Citations (WOS):77 h-index (WOS):5

Awards Çelik S., TÜBİTAK Teşvik Ödülü, Tübitak, October 2019