For those seeking an alternative to the traditional approach, it seems to me to be of great interest. This service is more advanced with JavaScript available, Part of the The book is definitely an analysis text, rather than a history, but a great deal of reliable historical material is included. %�L�����5`���A����D4�4��!�-��n .�h��ʛ�+�FO����;�yw|C�r�Yo��]���ps^���ɹ���φ�W8r�[�4�|g*�a��~���`OU7m3ģcJMr�S�!Y�f����&��s"�"E�?Wý=Bcw}���cXp����������e�v�!����p���EL�5e115xg�X�p�=16$���J�!T��_��z���U�O0�X�Čn�����Cl4�Ȫ�5���-��+\_�U��cσ��.L �aq}����P��P�|>�����G���3� Not logged in {^�]W�m6���ݻZ�֛ݪ��ӷ�I����m[�ӧ���߭�m�׾�w�v���W�z۪V[����o�Z�u~�����u�Bo�W����U�[�7���{]����U���~����Ӯ�����������V<1��~��>����o��{�������~ۭo���u�ڽ҇����_|>�~_��^߆�C�~�/�Y�|>�u߱�a����{J����������Dp������m({�~w`I�|?z�����u�.�t߷��/�;���{������D3_��M���/�����E�A{{v߶���oo��A{j����z����%������ﷆ�n��A��wXK�[�~�K���;����ߺ�(�=>���=���/��?�BZ�/� �k���P��^�I$�b� ��I�_�|7����p�%UK�>����P������U� ��A��W��&�?��}������a�}?�������������n�v���i��������߿��~���������'���������{����������_����������W�z�������}������/� 5j׿����/V���[�ת��Ş{V�ի���{��J�wl]�k�J��4�d��i'ki{����$ᬃwip�i�T�CI8h*m*��a�t�ip`�uM���i-6���@���L4���Q��Tu�T �e��0T�Zh�^Cht�S��_���� `� ��� �P�(Aէ�0 � Am����l4G�(_��*ha���&„� �Om:H6 �aW�����XU�U�Er���">�^��j�� �p��]���!��V�W����z��i��S�'I���عN4���$=V�; �m�=�V�݄�Y�:/���]ugP]����b��w]:� �PE>��U� o��O]tX؍~���M;��k�m���n9�^��޿�K�O�_����^���{������0�z 鯐@� ���]ـѸi����}�q+^����������~�u������u� ����Lr�(r1���]��U��AwDT��[���D����?�����������A ��� ���� Oׯ������I{��%��M������k� ����?������I_��ҽ�%��� ����K���{��IW�����������������J�����K?�}�����{������do���F����O�z��w���O���w����^�����������{ݯ��K���im�����)�����P�_�����[x@���m/����������O�=l*w��N���xa%��a}�n��O�a�����&s���RC1k������?հ�Z�2�}���v�T�m+��tӵih2 3�PᰝSiC!�@���0��m'C�Cj�a6a�'ݪ�Ƀ���i:�K����0�X@�-�A5�a,�� �‚L$��*�2p����2A��҆�! Many of the exercises are inspired by original papers, with the bibliographic references sometimes given. For example, identifying the author or source of a historical document or narrative and assessing its credibility (comprehension) is prerequisite to comparing competing historical narratives (analysis). Analysis by its history by Ernst Hairer, G. Wanner, 1996, Springer-Verlag edition, in English ?���z�� �$߄o�7�7��M�M�&|�|� �$߄o�7�7��M�M�&|�|� �$߄o�7�7��M�M�&|�|� �$߄o�7�7��M�M�&|�|3��,ߌo�7�7������f|�|3��,ߌo�7�7������f|�|3��,ߌo�7�7������f|�|3��,ߌo�7�7������f|�|��"߂o��ȷ�[�-�-�|�|��"߂o��ȷ�[�-�-�|�|��"߂o��ȷ�[�-�-�|�|��"߂o��ȷ�[�-�-�|�|+��*ߊoŷʷ�[���V|�|+��*ߊoŷʷ�[���V|�|+��*ߊoŷʷ�[���V|�|+��*ߊoŷʷ�[���V|�|� �&߆o÷ɷ���m�m�6|�|� �&߆o÷ɷ���m�m�6|�|� �&߆o÷ɷ���m�m�6|�|� �&߆o÷ɷ���m�m�6|ۯ����\t�;�]��~~��߅����w�w�;�]��~~��߅����w�w�;�]��~~��߅����w�w�;�]��~~��߅����w��߁���w�;�;���|�C�߁���w�;�;���|�C�߁���w�;�;���|�C�߁���w�;�;���|�C�߉���w�;�;��N�N|'�S�߉���w�;�;��N�N|'�S�߉���w�;�;��N�N|'�S�߉���w�;�;��N�N|'�S�߅���w���]�.�.|�K�߅���w���]�.�.|�K�߅���w���]�.�.|�K�߅���w���]�.�.|���?������|��x����{ݎ���i��o�_/�};������� ~�� ^W�Tc�#� @���]���~צ#���\�`���5�P�BrX���U������֡)b$�;��M� H��k �X���N� Part of Springer Nature. The authors include a large number of once-traditional subjects which have now vanished from the analysis curriculum, at least in the standard American courses. `9������bϼ������Ē�=ǜ� ��b����Ԣ2� ĥ that departed from the traditional dry-as-dust mathematics textbook. - John Troutman, American Mathematical Monthly, Over 10 million scientific documents at your fingertips. H�d��n�@E��^�E{^�HU�>�kE$�UJS� The work is very well illustrated. (M. Kline, from the Preface to the paperback edition of Kline 1972) Also for this reason, I have taken the trouble to make a great number of drawings. ?����G��#��(�~? book series The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. ��׌�t����8�a�~ t�� Many of the exercises are inspired by original papers, with the bibliographic references sometimes given. ��>��s���R��h�F^��#�y����Q���G#�O������ç��==��������o��/ϧ�;c�������_�������m�ӷ���������K����v�|�~�����_o�o��~y>}�~�W��=|�z>�{�O����݇�q�~�?�>���Ï��?o+���~���ߒ~;�%���z��Ώ���x���߽w;>l����p���?�(���O?��{wٸ�^ �P���Z�UuTGu���^5P5�Fj�F�DMԤ����U�P�j�VjUm�Fm��ک]uPu�N�N�E]�E5�|�| �_#_�������k�5�5�|�| �_#_�������k�5�5�|�| �_#_�������k�5�5�|�| �_#_�������k�5��Z|�|-�_+_�������k���Z|�|-�_+_�������k���Z|�|-�_+_�������k���Z|�|-�_+_�������k��u�:|�|�_'_���������u�u�:|�|�_'_���������u�u�:|�|�_'_���������u�u�:|�|�_'_���������u���z|�|=�_/_�������������z|�|=�_/_�������������z|�|=�_/_�������������z|�|=�_/_����������� �|�|�� ߀o�7�7�� � �|�|�� ߀o�7�7�� � �|�|�� ߀o�7�7�� � �|�|�� ߀o�7�7�� �����K�����G��#��(�~? P�����Q� �� _��o� \��A��G@�}�t0~��� |$%����K�e��}&�9Q ��t�0�XM}'|:��o���r���'d�%n�\A�'� ��i����_W��J����O�n�]���J���{�����ո�����܂�ۯ�����׿�n���Wק���]����]5�W����t������������}6�w�鮻���W�����A�/����������������z�1��_�����1�� ڳ����:�_o�>�����������_��=���]����v��������������a�����?����~��}7��}��n������z��mo߫�����������������׷_m���_��o�����{���u���{����o������� �����?������_��>��I�^���7�����$�I$�K���7����+�{���������z����=�o���1��!�z�?u�����~������������������������o�����v���u���|�w[����������������u����o�i_���[�n�����/_����������m+J�����/�u '��WJ�k����P����$���&�ڴ�}:��}�m��V�UO���ޛ�H&N�i�8V� �i�Ja$P��A�t��|mCH�@DL�80I�@�,l,�`x1RgH�����4�T0A@��j�j*@�cV� The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The work is very well illustrated. Kr���I� �, aij�=��0[C�mu� �k�C�� �n���D�=5T�I'�MS@�?�TAA� ��I��`֭4��@�i��&�� xa�����SA������m�`ΐpt�B��"�Gl:i��B�t��� ��i>O6�U�Z��'�xA��n���[�OM�]�A�������A���}]�n�t�o߭�۪�+��I�W��]? Thus we find continued fractions, elliptic integrals, the Euler-MacLaurin summation formula, etc., most of which are found only in more compendious works. �m5�ui�mt��V�n�����^����ֽ}�����������~����}�����[���}��� �Y��"}���}z�_^�����{]o�ץ궽}z���b���c�y���Pvd�&����0.Dgh���X k���aIXg@�B�!�J�l�Bp���w|e(��i� ��W+�< �*}B�@¨A�U� ����Lx���D��s�����Ɂ���eZC⽕� m�fШ�JGS��N��U;�6��r m��2VD�pH��-q:#Gd9c���J����Z��y*TZ�;C�B�7�-�A��\�h��s'W�!�b�C���;*)���Y�I�p��u[�gU��Ye�: ��]����fl=Rv���Mst���H�� c��ryB#�6g��?6��wQ�i���^ �O5�8������tU �66>��/ blY�;��n�n{J�L�UPg�O���Y�%mf>&�'ʆ$����2X��X��-C . H��W�r��}߯�G�����'���ȑ��\�+�R���,)��Ӄ� ���*L����=�^����~������p��^qf�c���I)u����e0���q����hW�X����j�P?ڷ�����z�����9�&8'���v�zK���d��]�!��z�[���[k$GW�W($�XK��p����q_mׯ/���N�w�b���4&�Ј+? 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